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406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-1 column3"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">PRIMARY 1</div> </div> <ul> <li id="tuition-primary-primary-1-english" class="content_tuition primary primary-1 english"> <div><a 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viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">ENGLISH</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/english/conjunctions">Conjunctions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/english/grammar-and-editing">Grammar And Editing</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/english/grammar-and-vocabulary">Grammar And Vocabulary</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/english/grammar-and-comprehension">Grammar And Comprehension</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/english"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-1 maths column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">MATHS</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/maths/discover-joy-counting-money-easy-story-primary-1-students">Discover the joy of counting money with this easy story for primary 1 students</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/maths/maths-fun-chatgpt-learn-how-count-these-5-games">Maths is fun with ChatGPT - Learn how to count with these 5 games</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/maths/addition-within-100">Addition Within 100</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/maths/addition-within-20">Addition Within 20</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/maths/numbers-to-20">Numbers To 20</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/maths/addition-and-subtraction-within-10">Addition And Subtraction Within 10</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/maths/subtraction-within-20">Subtraction Within 20</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-1/maths"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-2 column3"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">PRIMARY 2</div> </div> <ul> <li id="tuition-primary-primary-2-english" class="content_tuition primary primary-2 english"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-2/english">English</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-primary-primary-2-maths" class="content_tuition primary primary-2 maths"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-2/maths">Maths</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-2 english column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">ENGLISH</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/english/adjectives-1">Adjectives 1</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/english/comprehension-cloze">Comprehension Cloze</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/english/vocabulary-cloze">Vocabulary Cloze</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/english/comprehension-1">Comprehension 1</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/english/prepositions">Prepositions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/english/composition-basics">Composition Basics</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/english/tenses-sva">Tenses / Subject-Verb Agreement</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/english"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-2 maths column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">MATHS</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/maths/navigating-maths-transition-primary-1-primary-2">Navigating the Maths transition from primary 1 to primary 2</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/maths/master-multiplication-rhymes">Master Multiplication with these rhymes</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/maths/fractions-1">Fractions 1</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/maths/mass-1">Mass 1</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/maths/division-made-easy-story-based-learning-approach-primary-2">Division made easy: Story-based learning approach for Primary 2</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/maths/addition-and-subtraction-1">Addition And Subtraction 1</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/maths/time-1">Time 1</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-2/maths"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-3 column3"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">PRIMARY 3</div> </div> <ul> <li id="tuition-primary-primary-3-english" class="content_tuition primary primary-3 english"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-3/english">English</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-primary-primary-3-maths" class="content_tuition primary primary-3 maths"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-3/maths">Maths</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-primary-primary-3-science" class="content_tuition primary primary-3 science"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-3/science">Science</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-3 english column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">ENGLISH</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/english/quantifiers">Quantifiers</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/english/vocabulary-cloze">Vocabulary Cloze</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/english/composition-writing">Composition Writing</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/english/grammar-cloze">Grammar Cloze</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/english/distributives-2">Distributives 2</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/english/descriptive-writing-techniques">Descriptive Writing Techniques</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/english/what-are-articles">Articles</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/english"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-3 maths column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">MATHS</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/maths/mass">Mass</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/maths/5-fun-games-master-basics-fractions-learn-chatgpt">5 fun games to master the basics of fractions: Learn with ChatGPT</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/maths/introduction-guess-and-check-method">Introduction to the Guess and Check Method</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/maths/fractions">Fractions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/maths/angles">Angles</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/maths/length-mass-and-volume">Length, Mass And Volume</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/maths/money">Money</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/maths"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-3 science column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">SCIENCE</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/science/clearly-labelled-diagram-human-digestive-system">Clearly labelled diagram of the human digestive system</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/science/magnets">Magnets</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/science/diversity-of-plants">Diversity Of Plants</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/science/digestive-system">Digestive System</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/science/fascinating-world-digestion-fun-facts-and-insights">The fascinating world of digestion: Fun facts and insights</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/science/learn-chatgpt-get-inside-human-digestive-system">Learn with ChatGPT: Get inside the human digestive system</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/science/5-fun-magnet-experiments-kids-everyday-items-lets-learn-chatgpt">5 Fun magnet experiments for kids with everyday items: Let's learn with ChatGPT</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-3/science"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-4 column3"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">PRIMARY 4</div> </div> <ul> <li id="tuition-primary-primary-4-english" class="content_tuition primary primary-4 english"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-4/english">English</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-primary-primary-4-maths" class="content_tuition primary primary-4 maths"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-4/maths">Maths</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-primary-primary-4-science" class="content_tuition primary primary-4 science"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-4/science">Science</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-4 english column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">ENGLISH</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/english/connectors">Connectors</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/english/master-4-types-sentence-structures">Master the 4 types of sentence structures</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/english/picture-composition-primary-4">Picture Composition for Primary 4</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/english/adjectives">Adjectives</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/english/adverbs">Adverbs</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/english/vocabulary-mcq">Vocabulary MCQ</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/english/question-tags-tenses">Question Tags & Tenses</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/english"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-4 maths column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">MATHS</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/maths/area-and-perimeter-1">Area And Perimeter 1</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/maths/create-custom-division-drill-worksheets-chatgpt">Create custom division drill worksheets with ChatGPT</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/maths/multiplication">Multiplication</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/maths/division">Division</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/maths/fractions">Fractions: Improper Fractions & Mixed Numbers</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/maths/multiplication-and-division">Multiplication And Division</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/maths/conversion-of-time">Conversion Of Time</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/maths"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-4 science column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">SCIENCE</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/science/butterfly-life-cycle">Butterfly Life Cycle</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/science/animal-life-cycle">Animal Life Cycle</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/science/step-step-guide-growing-your-own-crystals-home-fun-science-experiment">A step-by-step guide to growing your own crystals at home: A fun science experiment</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/science/cold-blooded-vs-warm-blooded-animals-understanding-differences-and-their-significance">Cold-blooded vs. warm-blooded animals: Understanding the differences and their significance</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/science/natures-symphony-exploring-similarities-life-cycles-animals-plants-and-fungi">Nature's symphony: Exploring the similarities in life cycles of animals, plants, and fungi</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/science/life-cycle-butterfly">Life cycle of a Butterfly</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/science/master-frogs-life-cycle-poem-learn-chatgpt-prompts">Master the frog's life cycle with a poem: Learn with ChatGPT prompts</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-4/science"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-5 column3"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">PRIMARY 5</div> </div> <ul> <li id="tuition-primary-primary-5-english" class="content_tuition primary primary-5 english"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-5/english">English</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-primary-primary-5-maths" class="content_tuition primary primary-5 maths"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-5/maths">Maths</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-primary-primary-5-science" class="content_tuition primary primary-5 science"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-5/science">Science</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-5 english column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">ENGLISH</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/english/simple-perfect-and-continuous-tenses">Simple, Perfect And Continuous Tenses</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/english/play-and-learn-conquer-present-perfect-tense-chatgpt">Play and learn: Conquer present perfect tense with ChatGPT</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/english/prepositions-complete-guide">Prepositions: A complete guide</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/english/advice-vs-advise-clearing-confusion">Advice vs Advise: Clearing the Confusion</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/english/character-development-altos-creating-memorable-character">Character Development: ALTOS & Creating A Memorable Character</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/english/synthesis-transformation-active-and-passive-voice">Synthesis & Transformation - Active And Passive Voice</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/english/prepositions-all-types">Prepositions - All Types</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/english"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 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class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/maths/ratio-introduction">Ratio: Introduction</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/maths/whole-numbers">Whole Numbers</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/maths/table-rates">Table Rates</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/maths/understanding-parallelograms-definition-properties-and-applications">Understanding parallelograms: Definition, properties, and applications</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/maths/decimals-operations-conversions">Decimals - Operations & Conversions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/maths/understanding-area-trapezium-simple-guide">Understanding the area of a Trapezium: A simple guide</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/maths/ratio-strategy-repeated-identity">Ratio Strategy: Repeated Identity</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/maths"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-5 science column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">SCIENCE</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/science/water-cycle">Water Cycle</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/science/human-respiratory-system">Human Respiratory System</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/science/changing-states-matter-exploring-transformation-substances">Changing states of matter: Exploring the transformation of substances</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/science/learn-how-identify-plant-cell-and-animal-cells-chatgpt">Learn how to identify plant cells and animal cells with ChatGPT</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/science/what-causes-shooting-star-night-sky">What causes a shooting star in the night sky?</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/science/deep-dive-different-parts-plant-and-their-functions">A deep dive into different parts of a plant and their functions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/science/plant-reproduction-structures-and-pollination">Plant Reproduction: Structures And Pollination</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-5/science"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-6 column3"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 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class="content_tuition primary primary-6 maths"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-6/maths">Maths</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-primary-primary-6-science" class="content_tuition primary primary-6 science"> <div><a class="no-color" href="https://geniebook.com/tuition/primary-6/science">Science</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-6 english column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">ENGLISH</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/english/100-good-phrases-composition">100 Good phrases for composition</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/english/composition-writing-introductions-and-endings">Composition Writing - Introductions And Endings</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/english/write-confidence-35-subject-verb-rules-you-need-know">Write with confidence: 35 Subject-verb rules you need to know</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/english/phrasal-verbs-separable-transitive">Phrasal Verbs: Separable & Transitive</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/english/100-idioms-your-child-can-use-composition-writing-comprehensive-guide">100 Idioms your child can use for composition writing: A comprehensive guide</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/english/if-conditionals-varied-questions">If Conditionals - Varied Questions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/english/editing-grammar-punctuation-spelling">Editing: Grammar, Punctuation & Spelling</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/english"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-6 maths column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">MATHS</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/maths/ratio">Ratio</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/maths/fundamentals-of-pie-chart">Fundamentals Of Pie Chart</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/maths/5-fun-games-help-primary-6-students-learn-about-angles">5 Fun games to help Primary 6 students learn about angles</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/maths/volume-cube-detailed-guide">Volume of a cube: A detailed guide</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/maths/properties-circle-unraveling-secrets-fundamental-shape">Properties of a circle: Unraveling the secrets of this fundamental shape</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/maths/all-about-geometric-shapes-definitions-types-lists-and-examples">All about geometric shapes: Definitions, types, lists, and examples</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/maths/number-patterns-grouping-common-difference">Number Patterns: Grouping & Common Difference</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/maths"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column primary primary-6 science column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">SCIENCE</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/science/56-examples-animal-adaptations-action">56 Examples of Animal Adaptations in Action</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/science/understanding-human-body-systems-simple-explanation">Understanding human body systems: A simple explanation</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/science/how-high-can-you-jump-different-planets-guide-jumping-across-solar-system">How high can you jump on different planets? A guide to jumping across the solar system</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/science/producers-top-predators-understanding-food-chain">From Producers to Top Predators: Understanding the Food Chain</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/science/11-endangered-animals-zoos-have-saved-extinction">11 Endangered animals that zoos have saved from extinction</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/science/apex-predators-masters-wild-kingdom">Apex predators: Masters of the wild kingdom</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/science/learn-about-different-types-monkeys-comprehensive-guide">Learn about different types of Monkeys: A comprehensive guide</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/primary-6/science"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column secondary secondary-1 column3"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">SECONDARY 1</div> </div> <ul> <li id="tuition-secondary-secondary-1-english" class="content_tuition secondary secondary-1 english"> <div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/english">English</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-secondary-secondary-1-maths" class="content_tuition secondary secondary-1 maths"> <div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/maths">Maths</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-secondary-secondary-1-science" class="content_tuition secondary secondary-1 science"> <div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/science">Science</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> </ul> </div> <div class="navbar_tuition navbar_column secondary secondary-1 english column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">ENGLISH</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/english/continuous-writing-personal-recount">Continuous Writing: Personal Recount</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/english/comprehension-skills-iyow-questions">Comprehension Skills (IYOW Questions)</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/english/comprehension-skills-language-arts">Comprehension Skills - Language Arts</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/english/comprehension-skills-narrative-text-flowchart-questions">Comprehension Skills (Narrative Text) - Flowchart Questions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/english/comprehension-skills-non-narrative-text-summary-writing-skills">Comprehension Skills (Non-narrative Text) - Summary Writing Skills</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/english/comprehension-skills-non-narrative-text-dialogue-questions">Comprehension Skills (Non-narrative Text) - Dialogue Questions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/english/continuous-writing-expository">Continuous Writing - Expository</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/english"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column secondary secondary-1 maths column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">MATHS</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/maths/linear-equations">Linear Equations</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/maths/integers-rational-numbers-and-real-numbers">Integers, Rational Numbers And Real Numbers</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/maths/basic-algebra-and-algebraic-manipulation">Basic Algebra And Algebraic Manipulation 1</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/maths/functions-linear-graphs">Functions & Linear Graphs 1</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/maths/number-patterns">Number Patterns</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/maths/basic-geometry">Basic Geometry</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/maths/approximation-estimation">Approximation And Estimation</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/maths"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column secondary secondary-1 science column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">SCIENCE</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/science/human-digestive-system">Human Digestive System</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/science/understanding-complexities-human-digestive-system">Understanding the complexities of the human digestive system</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/science/simplifying-complex-topics-chatgpt-exploring-ray-light">Simplifying complex topics with ChatGPT: Exploring the ray of light</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/science/ray-model-of-light">Ray Model Of Light</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/science/solutions-and-suspensions">Solutions And Suspensions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/science/exploring-diversity-of-matter-by-its-physical-properties">Exploring Diversity Of Matter By Its Physical Properties</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/science/model-of-matter-the-particulate-nature-of-matter">Model of Matter - The Particulate Nature Of Matter</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-1/science"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column secondary secondary-2 column3"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">SECONDARY 2</div> </div> <ul> <li id="tuition-secondary-secondary-2-english" class="content_tuition secondary secondary-2 english"> <div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/english">English</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-secondary-secondary-2-maths" class="content_tuition secondary secondary-2 maths"> <div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/maths">Maths</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-secondary-secondary-2-science" class="content_tuition secondary secondary-2 science"> <div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/science">Science</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> </ul> </div> <div class="navbar_tuition navbar_column secondary secondary-2 english column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">ENGLISH</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/english/summary-writing">Summary Writing</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/english/comprehension-skills-vocabulary-questions">Comprehension Skills - Vocabulary Questions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/english/comprehension-skills-point-identification-and-paraphrasing">Comprehension Skills - Point Identification and Paraphrasing</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/english/comprehension-skills-unusual-effective-questions">Comprehension Skills - Unusual Effective Questions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/english/comprehension-skills-inference-authorial-and-literary-technique">Comprehension Skills - Inference, Authorial and Literary Technique</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/english/comprehension-skills-language-arts">Comprehension Skills - Language Arts</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/english/expository-writing-identifying-structures">Expository Writing - Identifying Structures</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/english"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column secondary secondary-2 maths column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">MATHS</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/maths/factorising-quadratic-expressions">Factorising Quadratic Expressions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/maths/direct-inverse-proportion">Direct & Inverse Proportion</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/maths/intriguing-history-maths-who-invented-it-and-how-it-has-changed-world">The intriguing history of Maths: Who invented It and how it has changed the world</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/maths/simultaneous-equation">Simultaneous Equation</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/maths/further-expansion-factorisation">Further Expansion And Factorisation</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/maths/quadratic-equations-graphs">Quadratic Equations And Graphs</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/maths/congruence-and-similarity">Congruence And Similarity</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/maths"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column secondary secondary-2 science column5"> <div 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Explaining the Concept, Formula, and Measurement</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/science/human-sexual-reproductive-system">Human Sexual Reproductive System</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/science/can-you-really-watch-earth-spin-exploring-fascinating-science-our-planets-rotation">Can you really watch the Earth spin? Exploring the fascinating science of our planet's rotation</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/science/acids-and-alkalis">Acids And Alkalis</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/science/interactions-through-the-application-of-forces">Interactions Through The Application Of Forces</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/science/chemical-changes">Chemical Changes</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/science/energy-and-work-done">Energy And Work Done</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-2/science"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" 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8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">SECONDARY 3</div> </div> <ul> <li id="tuition-secondary-secondary-3-physics" class="content_tuition secondary secondary-3 physics"> <div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/physics">Physics</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-secondary-secondary-3-chemistry" class="content_tuition secondary secondary-3 chemistry"> <div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/chemistry">Chemistry</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-secondary-secondary-3-maths" class="content_tuition secondary secondary-3 maths"> <div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/maths">Maths</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> </ul> </div> <div class="navbar_tuition navbar_column secondary secondary-3 physics column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 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class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/physics/thermal-properties-of-matter">Thermal Properties Of Matter</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/physics/mastering-kinematic-equations-understanding-basic-principles-motion">Mastering kinematic equations: Understanding the basic principles of motion</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/physics/understanding-newtons-laws-motion">Understanding Newton's Laws of Motion</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/physics/moments">Moments</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/physics"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" 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trick your brain into feeling the heat</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/chemistry/answers-frequently-asked-questions-about-composition-air">Composition of air: Answers to all frequently asked questions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/chemistry/understanding-mole-concept-what-it-means-avogadros-constant-and-molar-volume">Understanding Mole concept: What it means, Avogadro's Constant, and molar volume</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/chemistry"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column secondary secondary-3 maths column4"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">SECONDARY 3</div> </div> <ul> <li id="tuition-secondary-secondary-3-elementary-maths" class="content_tuition secondary secondary-3 elementary-maths"> <div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/maths/elementary-maths">E-Maths</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> <li id="tuition-secondary-secondary-3-additional-maths" class="content_tuition secondary secondary-3 additional-maths"> <div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/maths/additional-maths">A-Maths</a></div> <svg class="chevron_icon_wrapper chevron_icon_wrapper_transform" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg> </li> </ul> </div> <div class="navbar_tuition navbar_column secondary secondary-3 elementary-maths column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M15.9688 9C15.9688 9.5625 15.5312 10 15 10H5.40625L8.6875 13.3125C9.09375 13.6875 9.09375 14.3438 8.6875 14.7188C8.5 14.9062 8.25 15 8 15C7.71875 15 7.46875 14.9062 7.28125 14.7188L2.28125 9.71875C1.875 9.34375 1.875 8.6875 2.28125 8.3125L7.28125 3.3125C7.65625 2.90625 8.3125 2.90625 8.6875 3.3125C9.09375 3.6875 9.09375 4.34375 8.6875 4.71875L5.40625 8H15C15.5312 8 15.9688 8.46875 15.9688 9Z" fill="white"/></svg> <div class="navbar_tuition_mobile_title">E-MATHS</div> </div> <ul> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/maths/elementary-maths/graphs-of-functions-and-graphical-solution">Graphs Of Functions And Graphical Solution</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/maths/elementary-maths/applications-of-trigonometry">Applications Of Trigonometry</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/maths/elementary-maths/further-trigonometry">Further Trigonometry</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/maths/elementary-maths/coordinate-geometry">Coordinate Geometry</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/maths/elementary-maths/laws-of-indices">Laws Of Indices</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/maths/elementary-maths/quadratic-equations-and-functions">Quadratic Equations And Functions</a></div></li> <li class="content_tuition"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/maths/elementary-maths/solving-quadratic-equations-algebraically">Solving Quadratic Equations Algebraically</a></div></li> <li class="content_tuition color_view_more"><div><a class="no-color" href="https://geniebook.com/tuition/secondary-3/maths/elementary-maths"><span>View more</span><svg width="10" height="15" viewBox="0 0 10 15" fill="none" xmlns="http://www.w3.org/2000/svg"><path d="M2 15C1.71875 15 1.46875 14.9062 1.28125 14.7188C0.875 14.3438 0.875 13.6875 1.28125 13.3125L6.5625 8L1.28125 2.71875C0.875 2.34375 0.875 1.6875 1.28125 1.3125C1.65625 0.90625 2.3125 0.90625 2.6875 1.3125L8.6875 7.3125C9.09375 7.6875 9.09375 8.34375 8.6875 8.71875L2.6875 14.7188C2.5 14.9062 2.25 15 2 15Z" fill="#27AAE1"/></svg></a></div></li> </ul> </div> <div class="navbar_tuition navbar_column secondary secondary-3 additional-maths column5"> <div class="navbar_tuition_mobile_title_bar"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" 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height="500"> <div class="breadcrumb_title " style="">Repeated Identity: Ratio Strategies</div> </div> <h1 id="article_title">Repeated Identity: Ratio Strategies</h1>  <div id="article_box" class="ckeditor_display"> <p style="text-align: justify;">In this article, we will look into the strategies to solve the word problems on repeated identity.</p> <p style="text-align: justify;">Ratio Strategies</p> <ol> <li aria-level="1" style="text-align: justify;">Word problems on repeated identity - single item repeat</li> <li aria-level="1" style="text-align: justify;">Word problems on repeated identity - paired item repeat</li> </ol> <p style="text-align: justify;">This article is written keeping in mind the Primary 6 Maths students. </p> <h2 style="line-height:1.38; margin-top:24px; margin-bottom:8px">Word problems on repeated identity - Single item</h2> <p>We solve these problems by following the steps below:</p> <p><strong>Step 1:</strong></p> <p>Write down the two sets of ratio.</p> <p><strong>Step 2:</strong></p> <p>Identify the item that is repeated.</p> <p><strong>Step 3:</strong></p> <p>Make the units for the repeated item the same in the 2 sets of ratios by finding the common multiple.</p> <p><strong>Step 4:</strong></p> <p>Read the question carefully and assign a value to the units if necessary.</p> <p><strong>Step 5:</strong></p> <p>Solve for 1 unit if necessary and the question.</p> <h2>Practice questions: Repeated identity - Single item</h2> <p style="text-align: justify;"><strong>Question 1: </strong></p> <p style="text-align: justify;">The ratio of the mass of block A to the mass of block B is 11 : 5. The mass of block B is <span class="math-tex">$\frac{2}{7}$</span> the mass of block C. Find the ratio of the mass of block C to the total masses of blocks A, B and C.</p> <p style="text-align: justify;"><strong>Solution: </strong></p> <p style="text-align: justify;">We will take the above-mentioned steps to solve this question.</p> <p style="text-align: justify;"><strong>Step 1: </strong></p> <p style="text-align: justify;">A : B         B : C</p> <p style="text-align: justify;">11 : 5         2 : 7</p> <p style="text-align: justify;"><strong>Step 2: </strong></p> <p style="text-align: justify;">B is the repeated identity.</p> <p style="text-align: justify;"><strong>Step 3: </strong></p> <p style="text-align: justify;">Make the units for B the same by finding the common multiple of 5 and 2.</p> <p style="line-height: 1.38; text-align: center;"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="border:none"><span style="display:inline-block"><span style="overflow:hidden"><span style="width:624px"><span style="height:156px"><img height="156" loading="lazy" src="https://lh4.googleusercontent.com/7vS5LK8zbNLX0OVvicGmh66vmeaj6S4mvAXTxU7_CtNcRxPUGzy6U3UrWqsW5THIbZlGIMKFEwHg1cbiWBGwNGlmBijyuyPjeS6_mFuNN-vz1twz4jKKd94eT9v5TWR33SHA8fMwawLJ_zXmbLYm2X39GcW1t09bBSbMuaKLFHVQMrJSxejhB81vJkPr" width="624" /></span></span></span></span></span></span></span></span></span></span></span></p> <p style="line-height: 1.38; text-align: center;">A :  B : C </p> <p style="text-align: center;">22 : 10 : 35</p> <p>In the question, we are asked to find Mass of C: Total mass of A, B and C</p> <p>Mass of C = 35 units</p> <p>Total mass of A, B and C = 22 units + 10 units + 35 units<br />                                         = 67 units</p> <p> C : Total Mass </p> <p> C : A + B + C </p> <p>35 : 67</p> <p><strong>Answer:</strong></p> <p>35 : 67</p> <p><strong>Question 2: </strong></p> <p>Xavier bought 50 kg of coffee powder and stored them in 3 containers. Container A contained 23 as much coffee powder as container B. The ratio of the mass of coffee powder in container A to the mass of coffee powder in container C was 3 : 5.</p> <ol> <li aria-level="1">What is the ratio of the mass of coffee powder in container A to the mass of coffee powder in container B to the mass of coffee powder in container C?</li> <li aria-level="1">Find the total mass of coffee powder in containers B and C.</li> </ol> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Solution:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">(a) </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Container A </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Container B </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">                 2 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 3</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Container A </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Container C </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">                 3 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 5</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Container A is the repeated identity.  </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Make the units for Container A the same in the 2 sets of ratios by finding the common multiple of 2 and 3.</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="border:none"><span style="display:inline-block"><span style="overflow:hidden"><span style="width:624px"><span style="height:156px"><img height="156" loading="lazy" src="https://lh3.googleusercontent.com/qnGLRYCymCe4z3FNByItuttgBf8A0qSWdGMRRf5AhrFpHbEgNi5F_X8uQqTwozQN-NFABgvSNalDSCd107rVtUeIu_gUXOMEzve2_dsmRxUXYJEa7b6JlUK28pSjDk7lRhbj_f_h0mRKt_f09OZKatDgabwAD0SHePC8x0BLxAvhwuWW4HWTReI57sTQ" width="624" /></span></span></span></span></span></span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Container A : Container B : Container C </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">           6       :           9          :         10</span></span></span></span></span></span></p> <p> </p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Ans</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 6 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 9 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 10</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">(b) </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Total mass of the coffee powder </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 50 kg</span></span></span></span></span></span></p> <p> </p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Total number of units of container A, B and C </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 6 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 9 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 10 units</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 25 units</span></span></span></span></span></span></p> <p> </p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">25 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 50 kg</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">1 unit     </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 50 kg <span class="math-tex">$\div$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 25 </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">              </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 2 kg</span></span></span></span></span></span></p> <p> </p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Total mass of coffee powder in container B and C </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 9 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 10 units </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 19 units </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 19 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 2 kg </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 38 kg</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style="display: none;"> </span><strong><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Answer: </span></span></span></span></span></span></strong><span style="display: none;"> </span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">38 kg</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Question 3:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">James has 40% as many game cards as Sean. Sean has 80% as many game cards as Willie. James and Sean have 168 game cards altogether.</span></span></span></span></span></span></p> <ol> <li aria-level="1" style="list-style-type:lower-alpha"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">What is the ratio of the number of games cards James has to the number of games cards Sean has to the number of games cards Willie has?</span></span></span></span></span></span></li> <li aria-level="1" style="list-style-type:lower-alpha"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">How many game cards does Willie have?</span></span></span></span></span></span></li> </ol> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Solution:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">A tip: Convert the percentages to fractions in its simplest form and then allocate the units accordingly.</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">(a)</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">James has 40% as many as Sean.</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">40% </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=<span class="math-tex">$\frac{40}{100}$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=<span class="math-tex">$\frac{4}{10}$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=<span class="math-tex">$\frac{2}{5}$</span></span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">James </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Sean</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">     2     </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">    5</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Sean has 80% as many game cards as Willie. </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">80% </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=<span class="math-tex">$\frac{80}{100}$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=<span class="math-tex">$\frac{8}{10}$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=<span class="math-tex">$\frac{4}{5}$</span></span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Sean </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Willie</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">   4    </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">    5</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Sean is the repeated identity. </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Make the units for Sean the same in the 2 sets of ratio by finding the common multiple of 4 and 5. </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="border:none"><span style="display:inline-block"><span style="overflow:hidden"><span style="width:624px"><span style="height:255px"><img height="255" loading="lazy" src="https://lh3.googleusercontent.com/ARpS091S4DiiEL2dIy8cXhhSO3p6wIfUymUR32zJWuvHwjS-Ffk-zz_kHQu3uKuJSOnPRtJunGkJpC51y3Rra3LtZznNf__ye1g8S2lrHEN_s1UoEmVAt1qnydvt-4b52DLuREcSEZribNAp8KZ6c9Wtro81JZbWq-Sq6mR474YlRajbGGyrfLo4GYXR" width="624" /></span></span></span></span></span></span></span></span></span></span></span></p> <p style="line-height:1.38"><strong><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Answer</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></strong></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">8 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 20 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 25</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">(b)</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Total number of units of game cards James and Sean have</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 8 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 20 units</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 28 units</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">James and Sean have 168 cards.</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">28 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 168</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">1 unit     </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 168 <span class="math-tex">$\div$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 28 </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">              </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 6 </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Number of game cards Willie have </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 25 units </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 25 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 6</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 150</span></span></span></span></span></span></p> <p style="line-height:1.38"><strong><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Answer</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></strong></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">150 game cards</span></span></span></span></span></span></p> <h2 style="line-height:1.38; margin-top:24px; margin-bottom:8px"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Word problems on repeated identity - Paired item repeat</span></span></span></span></span></span></h2> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">We solve these problems by following the steps below:</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Step 1: Write down the two sets of ratio.</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Step 2: Identify the paired item that is repeated.</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Step 3: Make the units for the repeated paired item the same in the 2 sets of ratios by finding the common multiple.</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Step 4: Read the question carefully and assign a value to the units if necessary.</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Step 5: Solve for 1 unit if necessary and the question.</span></span></span></span></span></span></p> <h2 style="line-height:1.38; margin-top:24px; margin-bottom:8px"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Practice questions: Repeated identity - Paired item repeat</span></span></span></span></span></span></h2> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Question 1:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">There were some yellow, green and red marbles in a box. The number of yellow marbles was </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">2</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">5</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> of the total number of marbles. There were thrice as many green marbles as red marbles. If there were 18 red marbles, how many yellow marbles were there in the box?</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Solution:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:underline"><span style="-webkit-text-decoration-skip:none"><span style="text-decoration-skip-ink:none">Method 1:</span></span></span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Number of red marbles </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 18</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Number of green marbles</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 3 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 18 </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 54</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Number of yellow marbles </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=<span class="math-tex">$\frac{2}{5}$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> of total number of marbles</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Number of red and green marbles </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=<span class="math-tex">$\frac{3}{5}$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> of total number of marbles </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span class="math-tex">$\frac{3}{5}$</span> of the total number of marbles</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 18 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 54</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 72</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span class="math-tex">$\frac{1}{5}$</span> of the total number of marbles</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 72 <span class="math-tex">$\div$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 3</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 34</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Total number of marbles </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 34 X</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 5 </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 120</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Number of yellow marbles</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> <span class="math-tex">$\frac{2}{5}$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> of total </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> <span class="math-tex">$\frac{2}{5} $</span> X</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 120 </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 48</span></span></span></span></span></span></p> <p style="line-height:1.38"><strong><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Answer</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></strong></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">48 marbles</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:underline"><span style="-webkit-text-decoration-skip:none"><span style="text-decoration-skip-ink:none">Method 2:</span></span></span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Yellow </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Total (Yellow </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Red </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Green)</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">      2   </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">    5</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">But we want only Red </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Green as we already have Yellow in the ratio above.</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Yellow </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Red </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Green </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">        2 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> (5 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">-</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 2)</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">        2 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 3</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Given in the question that Green is 3 times of Red,</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Green </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Red</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">        3 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 1</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Green </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Red </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Red + Green </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">     3    </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">    1   </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">        4</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">The </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">repeated pair </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">is </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Red + Green</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">. Make the units for Red + Green the same in the 2 sets of ratios by finding the common multiple of 3 and 4.</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="border:none"><span style="display:inline-block"><span style="overflow:hidden"><span style="width:680px"><span style="height:122px"><img height="122" loading="lazy" src="https://lh3.googleusercontent.com/CCMw6QgSlueNXhFj5X8y5BDDpiYjOybMjW3X5TJZwib3j4cqR_iXvnpbdKFQ4g24WIJktUB16ft45QWHu5bTbzv7MCHfImAmCQZXwT9qW-TrEFN-uuYkYwbyacJryUcBkxbItjNc7RIXJ3MP0T_l6k6OTci5xVrNt2k_1AtU-_x-ht5UQEPJuDvljH3-" width="763.1654676258992" /></span></span></span></span></span></span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Number of red marbles </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 18</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">3 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 18</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">1 unit   </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 18 <span class="math-tex">$\div$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 3 </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">            </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 6</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Number of yellow marbles </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 8 units </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 8 X</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 6</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 48</span></span></span></span></span></span></p> <p style="line-height:1.38"><strong><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Answer</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></strong></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">48 yellow marbles</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Question 2:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Chris, Dash and Enzo bought a present for their teacher. The present costs 5 times as much as what Chris paid. Enzo paid <span class="math-tex">$\frac{5}{7}$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> as much as Dash. </span></span></span></span></span></span></p> <ol> <li aria-level="1" style="list-style-type:lower-alpha"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">What was the ratio of the amount Chris paid to the amount Dash paid to the amount Enzo paid?</span></span></span></span></span></span></li> <li aria-level="1" style="list-style-type:lower-alpha"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">If Dash paid $12 more than Chris, how much was the total cost of the present?</span></span></span></span></span></span></li> </ol> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Solution:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">(a)</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="border:none"><span style="display:inline-block"><span style="overflow:hidden"><span style="width:624px"><span style="height:151px"><img height="151" loading="lazy" src="https://lh5.googleusercontent.com/WTypcGzZaTon7FDSgaAJiAQ6neTQa10gRQGz4IkbkSC06LYvLqtcLeYeArPMykgm3eQmx0JwLG4Gzv9PxoCyg8L3y-RlLtlHUNj48AzV4rPXSkdI1ZMknPVDEbNuqIIdmVv0-ixq1Co-2Z-ttbi7hW8tn5Gy9bzI8cpyZO7SQaCAWj2_HDYrGsCkZ3jz" width="624" /></span></span></span></span></span></span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Chris : Total (Chris </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Dash </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Enzo) </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">   1    :    5</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Chris : Dash </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Enzo </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">    1   :          4 </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Enzo : Dash </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">   5    :    7</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Enzo : Dash : Dash + Enzo </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">   5    :     7    :        12 </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Chris : Dash + Enzo</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="white-space:pre"> </span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="white-space:pre"> </span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="white-space:pre"> </span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Enzo : Dash : Dash + Enzo</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">    1   :    4 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="white-space:pre"> </span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="white-space:pre"> </span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="white-space:pre"> </span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="white-space:pre"> </span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">    5   :    7    :        12</span></span></span></span></span></span></p> <p> </p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">The </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">repeated pair </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">is </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Dash </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none"> Enzo</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">. Make the units for Dash </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Enzo the same in the 2 sets of ratios by finding the common multiple of 4 and 12.</span></span></span></span></span></span></p> <p style="line-height:1.38; text-align:center"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="border:none"><span style="display:inline-block"><span style="overflow:hidden"><span style="width:624px"><span style="height:184px"><img height="184" loading="lazy" src="https://lh3.googleusercontent.com/fcbJYbcTktoGT4zpnfCqe30ErnIG-PgYO0WJKFlKplDmIPg8yVAH2iS_3buObI7AbrUd6mD2hP8UNTCjGikms5-p0vOdOPr0a4LVi-ehPrCVaC_CiOFSwxIWSKh61JlP4ULyoPmWgRRr71R_zMDgzzxileJYXxCQOItFtLcsCqVhmrQ9Njy9sVwrzNKN" width="624" /></span></span></span></span></span></span></span></span></span></span></span></p> <p> </p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Chris : Dash : Enzo</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">      3  :      7   :    5</span></span></span></span></span></span></p> <p style="line-height:1.38"><strong><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Answer</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></strong></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">3 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 7 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 5</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">(b)</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Total number of units of Chris, Dash and Enzo </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 3 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 7 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 5 units</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 15 units</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Difference in number of units between Chris and Dash</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 7 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">-</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 3 units</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 4 units</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">4 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> $12</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">1 unit   </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> $12 <span class="math-tex">$\div$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 4</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">            </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> $3</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Total cost of present</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 15 units</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 15 X</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> $3</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> $45</span></span></span></span></span></span></p> <p style="line-height:1.38"><strong><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Answer</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></strong></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">$45</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Question 3:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">A group of friends, Peter, Queenie, Ray, and Sarah love to collect seashells. Peter had collected <span class="math-tex">$\frac{2}{5}$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> of the total number of seashells everyone had. Queenie had collected 25% of the total number of seashells Ray and Sarah had collected. Sarah has collected 50% as many seashells as Ray. Given that Ray collected 85 seashells more than Queenie, </span></span></span></span></span></span></p> <ol> <li aria-level="1" style="list-style-type:lower-alpha"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">What was the ratio of the number of seashells Peter had to the number of seashells Queenie had to the number of seashells Ray had to the number of seashells Sarah had?</span></span></span></span></span></span></li> <li aria-level="1" style="list-style-type:lower-alpha"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">How many seashells did they collect in total?</span></span></span></span></span></span></li> </ol> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Solution:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">(a)</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">25% </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> <span class="math-tex">$\frac{1}{4}$</span></span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Queenie </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Ray + Sarah</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">            1 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 4</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">50% </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> <span class="math-tex">$\frac{1}{2}$</span></span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Ray </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Sarah</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">    2 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 1</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Ray </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Sarah </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Ray </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Sarah </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">    2 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">     1    </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">      3</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">The </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">repeated pair </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">is </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Ray </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none"> Sara</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">. Make the units for Ray </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Sarah the same in the 2 sets of ratios by finding the common multiple of 4 and 3.</span></span></span></span></span></span></p> <p style="line-height:1.38; margin-left:28px"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="border:none"><span style="display:inline-block"><span style="overflow:hidden"><span style="width:624px"><span style="height:120px"><img height="120" loading="lazy" src="https://lh3.googleusercontent.com/spLlk5SWDA7a9N1eEgvdipMN1ounqAJ0j4j810AH4_LiMO-dxNHLlZzk8ez3PpSxJ_NlZI92oiI_h-20-7BWXBKJYvgZbxOGchdzxAdb_WRM5TuSsWiorIQ5fLCDiqKTOYAD1uUihpQTvteiU9GjdzSOZFIy7YBmgGNEjXZYOYOStkpt7DoGcdUl2lqB" width="624" /></span></span></span></span></span></span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Queenie : Ray : Sarah </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">          3   :    8   :   4       </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Queenie : Ray : Sarah : Queenie </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Ray </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Sarah </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">          3   :    8   :   4       :      3 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 8 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 4 </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">          3   :    8   :   4       :      15</span></span></span></span></span></span></p> <p> </p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Peter : Total (Peter </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Queenie </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Ray </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Sarah)</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">      2 : 5</span></span></span></span></span></span></p> <p> </p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Peter : Queenie </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Ray </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Sarah </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">       2 : (5 </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">-</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 2)</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">       2 : 3</span></span></span></span></span></span></p> <p> </p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">The </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">repeated pair </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">is </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Queenie </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none"> Ray </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none"> Sara</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">. Make the units for Queenie </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Ray </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> Sarah the same in the 2 sets of ratios by finding the common multiple of 3 and 15.</span></span></span></span></span></span></p> <p> </p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><span style="border:none"><span style="display:inline-block"><span style="overflow:hidden"><span style="width:680px"><span style="height:94px"><img height="94" loading="lazy" src="https://lh3.googleusercontent.com/Sm1QVEwActUGQ5B_9Xgcy8RlA3MaRyhTul2haZKVSXE5_eMmkXU9ZX21beqQ7REuxke7b0ucrIMtSpPgMc35R1msoAZwI7ua4kBNYGvEbPXrB748OSuHzEm8pF_zTLvA535Hnc_Gbddi3hNznmgD1Sct-9oiGsUfqTQoPUk4XNAbyyug3wLPsenMpKi9" width="680" /></span></span></span></span></span></span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Peter : Queenie : Ray : Sarah</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">  10    :     3        :   8    :    4</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"><strong>Answer: </strong>  </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">10 : 3 : 8 : 4</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">(b)</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Difference in number of units between Ray and Queenie</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 8 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">-</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 3 units</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 5 units</span></span></span></span></span></span></p> <p> </p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">5 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 85</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">1 unit   </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 85 <span class="math-tex">$\div$</span></span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 5</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">            </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 17</span></span></span></span></span></span></p> <p> </p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Total number of seashells collected</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 10 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 3 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 8 units </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">+</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 4 units</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 25 units</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 25 X</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 17</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">=</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> 425</span></span></span></span></span></span></p> <p style="line-height:1.38"><strong><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Answer</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">:</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> </span></span></span></span></span></span></strong></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">425 seashells</span></span></span></span></span></span></p> <h2 style="line-height:1.38; margin-top:24px; margin-bottom:8px"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">Conclusion</span></span></span></span></span></span></h2> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">In this article, we learnt about the</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none"> single item repeat</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> and the </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">paired item repeat</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">. </span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Identify the item(s) that are repeated and make the units for these items the </span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:700"><span style="font-style:normal"><span style="text-decoration:none">same</span></span></span></span></span></span><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none"> in the different set of ratios.</span></span></span></span></span></span></p> <p style="line-height:1.38"><span style=" font-variant:normal; white-space:pre-wrap"><span style="font-family:Arial"><span style=""><span style="font-weight:400"><span style="font-style:normal"><span style="text-decoration:none">Keep practising to gain a thorough mastery of these concepts!</span></span></span></span></span></span></p> <table align="center" border="1" cellpadding="0" cellspacing="0" style="height: 25px; width: 100%;"> <thead> <tr> <td colspan="2" scope="col" style="text-align: center; vertical-align: middle; width: 50%; height: 25px; border-color: rgb(38, 34, 98); background-color: rgb(36, 170, 225);"><span style="color:#ffffff;"><strong>Continue Learning</strong></span></td> </tr> </thead> <tbody> <tr> <td style="text-align: center; vertical-align: middle; width: 50%; height: 25px; border-color: rgb(38, 34, 98);"><a href="https://geniebook.com/tuition/primary-6/maths/algebra">Algebra</a></td> <td style="text-align: center; vertical-align: middle; width: 50%; height: 25px; border-color: rgb(38, 34, 98);"><a href="https://geniebook.com/tuition/primary-6/maths/distance-speed-and-time">Distance, Speed and Time</a></td> </tr> <tr> <td style="text-align: center; vertical-align: middle; width: 50%; height: 25px; border-color: rgb(38, 34, 98);"><a href="https://geniebook.com/tuition/primary-6/maths/volume-of-cubes-and-cuboid">Volume of Cubes and Cuboid</a></td> <td style="text-align: center; vertical-align: middle; width: 50%; height: 25px; border-color: rgb(38, 34, 98);"><a href="https://geniebook.com/tuition/primary-6/maths/fundamentals-of-pie-chart">Fundamentals Of Pie Chart</a></td> </tr> <tr> <td style="text-align: center; vertical-align: middle; width: 50%; height: 25px; border-color: rgb(38, 34, 98);"><a href="https://geniebook.com/tuition/primary-6/maths/finding-unknown-angles">Finding Unknown Angles</a></td> <td style="text-align: center; vertical-align: middle; width: 50%; height: 25px; border-color: rgb(38, 34, 98);"><a href="https://geniebook.com/tuition/primary-6/maths/number-patterns-grouping-common-difference">Number Patterns: Grouping & Common Difference</a></td> </tr> <tr> <td style="text-align: center; vertical-align: middle; width: 50%; height: 25px; border-color: rgb(38, 34, 98);"><a href="https://geniebook.com/tuition/primary-6/maths/fractions-remainder">Fractions Of Remainder</a></td> <td style="text-align: center; vertical-align: middle; width: 50%; height: 25px; border-color: rgb(38, 34, 98);"><a href="https://geniebook.com/tuition/primary-6/maths/fractions-division">Fractions - Division</a></td> </tr> <tr> <td style="text-align: center; vertical-align: middle; width: 50%; height: 25px; border-color: rgb(38, 34, 98);"><a href="https://geniebook.com/tuition/primary-6/maths/ratio">Ratio</a></td> <td style="text-align: center; vertical-align: middle; width: 50%; height: 25px; border-color: rgb(38, 34, 98);">Repeated Identity: Ratio Strategies</td> </tr> </tbody> </table> </div> <style> /* 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width: 78.972vw; height: 78.972vw; bottom: -39.486vw; } #signup_note { padding: 0 8.645vw; font-family: "Campton Book"; font-size: 3.271vw; line-height: 4.439vw; color: var(--white); } /* first load animation */ .fade_in { position: relative; transition-property: opacity, top, right, transform; transition-duration: 0.3s; opacity: 0; top: 3.505vw; } .fade_in.animated { opacity: 1; top: 0; } /* mobile country code select */ #user_mobile_signup_container { position: relative; overflow: hidden; background-color: var(--white); box-sizing: border-box; display: flex; align-items: baseline; } #country_id_signup { -webkit-appearance: none; -moz-appearance: none; appearance: none; border: 0; } .user_mobile_signup { border: 0; margin: 0; padding: 0; color: var(--navy_blue); font-family: "Campton Book"; font-size: 3.972vw; line-height: 4.439vw; appearance: none; -moz-appearance: none; -webkit-appearance: none; box-sizing: border-box; flex-grow: 1; background-color: transparent; } .user_mobile_signup::placeholder { color: #C3C3C3; } .detail_country { display: inline-block; vertical-align: middle; font-size: 3.738vw; } .country_code { color: #aaaaaa; } .img_flag { display: inline-block; vertical-align: middle; margin-right: 0.935vw; width: 6.776vw; height: 3.972vw; background: url("../../../images/gb/flags.png") no-repeat 0 0; -webkit-background-size: cover; -moz-background-size: cover; -o-background-size: cover; background-size: cover; } #country_id_signup + .select2-container { width: 14.486vw !important; vertical-align: top !important; padding: 0; height: 100%; } #country_id_signup + .select2-container > * { width: 100%; line-height: 4.439vw; } .select2-container--default .select2-selection--single { background-color: transparent !important; border: 0 !important; height: auto !important; } #select2-country_id_signup-container { color: var(--navy_blue) !important; text-align: center; letter-spacing: 0.234vw; line-height: unset !important; font-family: "Campton Book"; font-size: 3.972vw; padding: 0 3.738vw 0 0; } #signup_phone_arrow_down { position: absolute; pointer-events: none; display: inline-flex; width: 2.103vw; top: 2.570vw; left: 13.318vw; transition: transform 0.3s; } #signup_phone_arrow_down img { width: 100%; height: auto; } #country_id_signup + .select2-container--open + #signup_phone_arrow_down { transform: rotate(180deg); } #signup_phone_arrow_down img:nth-child(2) { display: none; } #select2-country_id_signup-container + .select2-selection__arrow { display: none; } .select2-dropdown { top: 0; width: 74.065vw !important; border-radius: 1.869vw !important; overflow: hidden; } .select2-search__field { font-size: 3.972vw !important; font-family: "Museo Sans" !important; color: var(--navy_blue) !important; border-radius: 1.869vw !important; } /* end of mobile country code select */ /* form error */ #signup_demo_form .form_group.input_error label { color: var(--bean_red); } #signup_demo_form .form_group.input_error .signup_demo_form_input { background-color: var(--rose_white); box-shadow: inset 0 0 0 0.467vw var(--bean_red); } #signup_demo_form .form_group.input_error input.signup_demo_form_input { color: var(--bean_red); } #signup_demo_form .input_error_msg { display: none; color: var(--bean_red); text-align: left; font-size: 3.505vw; padding-top: 1.402vw; } #signup_demo_form .form_group.input_error .input_error_msg { display: block; } #signup_demo_form .form_group.input_error #signup_phone_arrow_down img:nth-child(1) { display: none; } #signup_demo_form .form_group.input_error #signup_phone_arrow_down img:nth-child(2) { display: block; } /* end of form error */ /* chevron icon */ .minimize_button_container { display: flex; justify-content: flex-end; margin-top: -1.752vw; margin-right: 2.629vw; } .chevron_icon_wrapper_signup_form { width: 3.680vw; height: auto; cursor: pointer; display: flex; margin-left: 0.935vw; margin-top: -0.935vw; fill: var(--white); } .chevron_icon_wrapper_transform_signup_form { transform: rotate(180deg) translateY(-0.234vw); } /* end chevron icon */ #button_submit_loading_animation_signup_form { width: 10.514vw; } } </style> <form id="signup_container" class=""method="post" onsubmit="event.preventDefault(); create_lead_signup();"> <div class="minimize_button_container"><svg class="minimize_button chevron_icon_wrapper_signup_form maximized" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 32.8 12.5 45.3 0l192-192c12.5-12.5 12.5-32.8 0-45.3s-32.8-12.5-45.3 0L224 338.7 54.6 169.4c-12.5-12.5-32.8-12.5-45.3 0s-12.5 32.8 0 45.3l192 192z"/></svg></div> <div class="maximize_form"> <div id="signup_title" class="title_b ">Book a free product demo</div> <div id="signup_desc" class="desc_b ">Suitable for primary & secondary</div> <div id="signup_form_container"> <div id="signup_demo_form"> <input id="lead_source_signup" name="lead_source" type="hidden" value=""> <input id="campaign_signup" name="campaign" type="hidden" value="Blog-1"> <input id="nohuman_signup" class="nohuman" name="nohuman" type="text" value="" autocomplete="off"> <div class="form_group"> <label for="level_id" class="">Which level is your child in 2024?</label> <div id="signup_select_level" class=""> <select id="level_id_signup" name="level_id" class="signup_demo_form_input placeholder" onchange="$(this).parent().parent().removeClass('input_error');$(this).removeClass('placeholder');"> <option value="" class="default_option" disabled selected hidden>Select a Level</option> <option value="1">Primary 1</option> <option value="2">Primary 2</option> <option value="3">Primary 3</option> <option value="4">Primary 4</option> <option value="5">Primary 5</option> <option value="6">Primary 6</option> <option value="7">Secondary 1</option> <option value="8">Secondary 2</option> <option value="9">Secondary 3</option> <option value="10">Secondary 4</option> </select> <img src="https://geniebook.com/images/footer/icons/icon_chevron_right_apricot.svg" alt="select dropdown icon" width="500" height="500"/> </div> <div class="input_error_msg"></div> </div> <div class="form_group"> <label for="parent_name" class="">Parent’s name</label> <input id="parent_name_signup" class="signup_demo_form_input " name="parent_name" type="text" placeholder="John Doe" onkeydown="$(this).parent().removeClass('input_error');"> <div class="input_error_msg"></div> </div> <div class="form_group"> <label for="email_address" class="">Email</label> <input id="email_address_signup" class="signup_demo_form_input " name="email_address" type="email" placeholder="johndoe@gmail.com" onkeydown="$(this).parent().removeClass('input_error');"> <div class="input_error_msg"></div> </div> <div class="form_group"> <label for="user_mobile" class="">Mobile number</label> <div id="user_mobile_signup_container" class="signup_demo_form_input "> <select id="country_id_signup" name="country_id" class="phone_country_select country_code_select2" onchange="$(this).parent().parent().removeClass('input_error');"></select> <div id="signup_phone_arrow_down"> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down.svg" alt="arrow down" width="94" height="150"> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down_bean_red.svg" alt="arrow down" width="94" height="150"> </div> <input id="user_mobile_signup" class="user_mobile_signup" name="user_mobile" type="tel" placeholder="1234 5678" maxlength="18" onkeypress="return filterInput(1, event, '', '+');" onkeydown="$(this).parent().parent().removeClass('input_error');"> </div> <div class="input_error_msg"></div> </div> <button type="submit" id="signup_submit_btn" class="button "> <div class="button_bg_hover"></div> <div id="button_submit_text_signup_form" class="button_content">Click here to get started</div> <dotlottie-player id="button_submit_loading_animation_signup_form" class="button_disable" src="https://geniebook.com/images/button/four_dots_loading.lottie" loop autoplay></dotlottie-player> </button> </div> </div> <div id="signup_note" class="">Our Education Consultants will get in touch with you to offer your child a complimentary Strength Analysis.</div> </div> <div class="minimize_form"> <div id="signup_title" class="">Book a free product demo</div> <div id="signup_desc" class="">Suitable for primary & secondary</div> </div> </form> <script> function is_valid_email(email) { return String(email) .toLowerCase() .match(/^(([^<>()[\]\\.,;:\s@"]+(\.[^<>()[\]\\.,;:\s@"]+)*)|(".+"))@((\[[0-9]{1,3}\.[0-9]{1,3}\.[0-9]{1,3}\.[0-9]{1,3}\])|(([a-zA-Z\-0-9]+\.)+[a-zA-Z]{2,}))$/); } function is_valid_parent_name(name) { let han = new RegExp(/\p{sc=Han}/u); // Check if Chinese character exist then validate it if (name.match(han)) { return new RegExp(/^\p{sc=Han}+$/u).test(name); } return new RegExp(/^[a-zA-ZÀÁÂÃÈÉÊÌÍÒÓÔÕÙÚĂĐĨŨƠàáâãèéêìíòóôõùúăđĩũơƯĂẠẢẤẦẨẪẬẮẰẲẴẶẸẺẼỀỀỂưăạảấầẩẫậắằẳẵặẹẻẽềềểỄỆỈỊỌỎỐỒỔỖỘỚỜỞỠỢỤỦỨỪễếệỉịọỏốồổỗộớờởỡợụủứừỬỮỰỲỴÝỶỸửữựỳỵỷỹ]+((\ )?[a-zA-ZÀÁÂÃÈÉÊÌÍÒÓÔÕÙÚĂĐĨŨƠàáâãèéêìíòóôõùúăđĩũơƯĂẠẢẤẦẨẪẬẮẰẲẴẶẸẺẼỀỀỂưăạảấầẩẫậắằẳẵặẹẻẽềềểỄỆỈỊỌỎỐỒỔỖỘỚỜỞỠỢỤỦỨỪễếệỉịọỏốồổỗộớờởỡợụủứừỬỮỰỲỴÝỶỸửữựỳỵỷỹ])*$/).test(name); } function validate_form_lead_signup() { // validate form let is_form_valid = true; let user_mobile = $('#user_mobile_signup').val().trim(); let country_id = $('#country_id_signup').val().trim(); let country_code = $('#country_id_signup').siblings('.select2-container').find('.country_code_select').html()?.replace(/\D/g,''); user_mobile = verify_number(user_mobile, country_id, country_code); if (!$('#level_id_signup').val()) { $('#level_id_signup').parent().parent().addClass('input_error'); $('#level_id_signup').parent().siblings('.input_error_msg').html('Please select a level'); is_form_valid = false; } if (!$('#parent_name_signup').val().trim()) { $('#parent_name_signup').parent().addClass('input_error'); $('#parent_name_signup').siblings('.input_error_msg').html('Please insert a parent\'s name'); is_form_valid = false; } else if (!is_valid_parent_name($('#parent_name_signup').val().trim().replace(/\s\s+/g,' '))) { $('#parent_name_signup').parent().addClass('input_error'); $('#parent_name_signup').siblings('.input_error_msg').html('Please insert a valid parent\'s name'); is_form_valid = false; } if (!$('#email_address_signup').val().trim()) { $('#email_address_signup').parent().addClass('input_error'); $('#email_address_signup').siblings('.input_error_msg').html('Please insert an email'); is_form_valid = false; } else if (!is_valid_email($('#email_address_signup').val())) { $('#email_address_signup').parent().addClass('input_error'); $('#email_address_signup').siblings('.input_error_msg').html('Please insert a valid email'); is_form_valid = false; } if (!$('#user_mobile_signup').val().trim()) { $('#user_mobile_signup').parent().parent().addClass('input_error'); $('#user_mobile_signup').parent().siblings('.input_error_msg').html('Please insert a mobile number'); is_form_valid = false; } else if ((parseInt($('#country_id_signup').val().trim()) === 183) && ($('#user_mobile_signup').val().trim().length != 8)) { $('#user_mobile_signup').parent().parent().addClass('input_error'); $('#user_mobile_signup').parent().siblings('.input_error_msg').html('Please insert your 8-digit mobile number'); is_form_valid = false; } else if (!user_mobile) { $('#user_mobile_signup').parent().parent().addClass('input_error'); $('#user_mobile_signup').parent().siblings('.input_error_msg').html('Please insert a valid mobile number'); is_form_valid = false; } else { $('#user_mobile_signup').val(user_mobile); } return is_form_valid; } var submission_loading_signup = false; function create_lead_signup() { if (submission_loading_signup) return; if (!validate_form_lead_signup()) return; submission_loading_signup = true; show_loading_button_signup_form(); grecaptcha.execute('6LdKDUglAAAAAKvwIVNzOO_iYSMVPF3YWEmFpbGO', {action: 'create_lead'}).then(function(token) { $.ajax({ url: BASE_URL + 'Homepage/create_lead', type: 'POST', dataType: 'json', data: { user_mobile: $('#user_mobile_signup').val().trim(), parent_name: $('#parent_name_signup').val().trim(), email_address: $('#email_address_signup').val().trim(), level_id: $('#level_id_signup').val().trim(), country_id: $('#country_id_signup').val().trim(), campaign: $('#campaign_signup').val().trim(), lead_source: $('#lead_source_signup').val().trim(), lead_signup_source: $('#js_ls_source_request_demo').val().trim(), nohuman: $('#nohuman_signup').val().trim(), url: window.location.href, referrer: document.referrer, captcha_token: token }, success: function (data) { submission_loading_signup = false; hide_loading_button_signup_form(); if (data.error === true) { if (data.error_field == 'user_mobile') { $('#user_mobile_signup').parent().parent().addClass('input_error'); $('#user_mobile_signup').parent().siblings('.input_error_msg').html(data.error_msg); } else { show_notification(data.error_title || 'Error', data.error_msg); } } else { lead_tracking_event($('#country_id_signup').val().trim(), $('#user_mobile_signup').val().trim()); param = lp_thank_you_url_params( { user_mobile: $('#user_mobile_signup').val().trim(), country_id: $('#country_id_signup').val().trim(), parent_name: $('#parent_name_signup').val().trim(), email_address: $('#email_address_signup').val().trim(), level_id: $('#level_id_signup').val().trim(), campaign: $('#campaign_signup').val().trim(), lead_source: $('#lead_source_signup').val().trim(), } ); // window.location = BASE_URL + 'ty-page' + param; redirect_to_thank_you_page('sg', param); } }, error: function() { submission_loading_signup = false; hide_loading_button_signup_form(); show_notification( 'Oops!', `Something went wrong.<br>Please refresh the page.` ); }, }); }); } function show_loading_button_signup_form() { $('#signup_submit_btn').addClass('disable_button_submit'); $('#button_submit_text_signup_form').addClass('button_disable'); $('#button_submit_loading_animation_signup_form').removeClass('button_disable'); } function hide_loading_button_signup_form() { $('#signup_submit_btn').removeClass('disable_button_submit'); $('#button_submit_text_signup_form').removeClass('button_disable'); $('#button_submit_loading_animation_signup_form').addClass('button_disable'); } const minimizeButton = document.querySelector('.minimize_button'); const maximizeForm = document.querySelector('.maximize_form'); const minimizeForm = document.querySelector('.minimize_form'); const signupContainer = document.querySelector('#signup_container'); const bodyContainer = document.querySelector('#body_container'); const body = document.body; minimizeButton.addEventListener('click', function() { if (window.innerWidth <= 768) { // set local storage on mobile view when signup form is minimize. expired in 24 hours const now = new Date(); const expirationDate = now.getTime() + 24 * 60 * 60 * 1000; // 24 hours from now localStorage.setItem('signup_form_card_status', JSON.stringify({ isMinimized: true, expiration: expirationDate, })); } if (minimizeButton.classList.contains('maximized')) { minimize_form(); } else { maximize_form(); } mobile_menu_hide(); }); minimizeForm.addEventListener('click', function() { if (!minimizeButton.classList.contains('maximized')) { maximize_form(); mobile_menu_hide(); } }); // get data from local storage // if have data from local storage then signup form on mobile will be minimize as a default let isCardMinimized = true; const storedData = localStorage.getItem('signup_form_card_status'); if (storedData) { const { isMinimized, expiration } = JSON.parse(storedData); const now = new Date(); if (now.getTime() < expiration) { isCardMinimized = isMinimized; } else { localStorage.removeItem('signup_form_card_status'); } } var currentWidth = window.innerWidth; window.addEventListener('resize', function() { if (window.innerWidth !== currentWidth) { if (window.innerWidth <= 768) { if (isCardMinimized) { minimize_form(); } else { if (!minimizeButton.classList.contains('maximized')) { maximize_form(); } body.style.overflow = "hidden"; } } } if (window.innerWidth > 768) { if (!minimizeButton.classList.contains('maximized')) { maximize_form(); } body.style.overflow = "auto"; } }); // set initial value on page load if (window.innerWidth <= 768) { if (isCardMinimized) { minimize_form(); } else { if (minimizeButton.classList.contains('maximized')) { maximize_form(); } } } else { if (!minimizeButton.classList.contains('maximized')) { maximize_form(); } body.style.overflow = "auto"; } // Add touch event listeners signupContainer.addEventListener('touchstart', function(event) { if (!minimizeButton.classList.contains('maximized')) { body.style.overflow = "hidden"; } }); signupContainer.addEventListener('touchend', function(event) { if (!minimizeButton.classList.contains('maximized')) { body.style.overflow = "auto"; } }); function minimize_form() { minimizeButton.classList.remove('maximized'); minimizeButton.classList.add('minimized'); minimizeButton.classList.add('chevron_icon_wrapper_transform_signup_form'); maximizeForm.style.display = 'none'; minimizeForm.style.display = 'block'; body.style.overflow = "auto"; } function maximize_form() { minimizeButton.classList.remove('minimized'); minimizeButton.classList.add('maximized'); minimizeButton.classList.remove('chevron_icon_wrapper_transform_signup_form'); minimizeForm.style.display = 'none'; maximizeForm.style.display = 'block'; body.style.overflow = "hidden"; } /** * hide mobile menu */ function mobile_menu_hide() { header_container_el = $('.header_container'); mobile_menu_el = $('.header_container .mobile_menu'); mobile_menu_el.css('display', 'none'); header_container_el.removeClass('show_mobile_menu'); $('body').removeClass('body_freeze'); $('body').removeClass('notouch'); } </script> </div>  </div> </div> </div> </div> <div id="footer_container"> <div class="dev_panel">  <form autocomplete="off">  <input type="text" id="js_ls_source_request_demo" size="1" value="3">  <input type="text" id="js_countries" size="1" value="{"45":{"country_id":45,"country_code":"86","country_name":"China","bg_position":"-1px -1072px","bg_pos_percent":"-1px 27.7515%"},"94":{"country_id":94,"country_code":"852","country_name":"Hong Kong","bg_position":"-1px -3707px","bg_pos_percent":"-1px 96.029%"},"97":{"country_id":97,"country_code":"91","country_name":"India","bg_position":"-1px -2245px","bg_pos_percent":"-1px 58.146%"},"98":{"country_id":98,"country_code":"62","country_name":"Indonesia","bg_position":"-1px -2653px","bg_pos_percent":"-1px 68.718%"},"125":{"country_id":125,"country_code":"60","country_name":"Malaysia","bg_position":"-1px -2517px","bg_pos_percent":"-1px 65.194%"},"183":{"country_id":183,"country_code":"65","country_name":"Singapore","bg_position":"-1px -35px","bg_pos_percent":"-1px 0.881%"},"209":{"country_id":209,"country_code":"66","country_name":"Thailand","bg_position":"-1px -1242px","bg_pos_percent":"-1px 32.1565%"},"224":{"country_id":224,"country_code":"1","country_name":"United States","bg_position":"-1px -69px","bg_pos_percent":"-1px 1.762%"},"231":{"country_id":231,"country_code":"84","country_name":"Vietnam","bg_position":"-1px -1259px","bg_pos_percent":"-1px 32.597%"}}"> <input type="text" id="js_country_id" size="1" value="183"> </form> </div> <div id="footer_background_navy"></div> <div id="footer_inner_container"> <div class="footer_section_container"> <div class="footer_section_main footer_desktop_mode"> <div class="footer_main_menu_section">  <div class="footer_section_logo"> <div class="footer_section_title "> GET STARTED <svg class="footer_chevron_icon_wrapper" viewBox="0 0 448 512"><path d="M201.4 406.6c12.5 12.5 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11.125 10.0312 11.5 9.5C11.6875 9.25 11.8438 9.03125 12 8.8125V17L6 15V8.8125C6.125 9.03125 6.28125 9.25 6.46875 9.5C6.84375 10.0312 7.28125 10.6562 7.78125 11.375C8.0625 11.7812 8.5 12 9 12C9.46875 12 9.90625 11.7812 10.1875 11.375ZM17.3125 6.0625C17.625 5.90625 18 6.15625 18 6.53125V14.4375C18 14.6562 17.875 14.8125 17.6562 14.9062L13 17V8L17.3125 6.0625Z" fill="white"/><path d="M5 4.77051C5 2.57617 6.74316 0.8125 8.9375 0.8125C11.1113 0.8125 12.875 2.57617 12.875 4.77051C12.875 6.34961 12.3213 6.80078 9.32715 11.1074C9.14258 11.3945 8.71191 11.3945 8.52734 11.1074C5.5332 6.80078 5 6.34961 5 4.77051Z" fill="#F7941E"/></svg> 2 Tampines Central 5<br>#04-17/18 Century Square<br>Singapore 529509 </div> <div class="address_details"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path opacity="0.5" d="M9 1C11.0625 1 12.75 2.6875 12.75 4.75C12.75 6.28125 12.2188 6.6875 9.375 10.8125C9.1875 11.0938 8.78125 11.0938 8.59375 10.8125C5.75 6.6875 5.25 6.28125 5.25 4.75C5.25 2.6875 6.90625 1 9 1ZM0.3125 8.125L4.46875 6.25C4.59375 6.59375 4.75 6.90625 5 7.3125V15L0.65625 16.9688C0.34375 17.125 0 16.875 0 16.5V8.59375C0 8.375 0.09375 8.21875 0.3125 8.125ZM10.1875 11.375C10.6875 10.6562 11.125 10.0312 11.5 9.5C11.6875 9.25 11.8438 9.03125 12 8.8125V17L6 15V8.8125C6.125 9.03125 6.28125 9.25 6.46875 9.5C6.84375 10.0312 7.28125 10.6562 7.78125 11.375C8.0625 11.7812 8.5 12 9 12C9.46875 12 9.90625 11.7812 10.1875 11.375ZM17.3125 6.0625C17.625 5.90625 18 6.15625 18 6.53125V14.4375C18 14.6562 17.875 14.8125 17.6562 14.9062L13 17V8L17.3125 6.0625Z" fill="white"/><path d="M5 4.77051C5 2.57617 6.74316 0.8125 8.9375 0.8125C11.1113 0.8125 12.875 2.57617 12.875 4.77051C12.875 6.34961 12.3213 6.80078 9.32715 11.1074C9.14258 11.3945 8.71191 11.3945 8.52734 11.1074C5.5332 6.80078 5 6.34961 5 4.77051Z" fill="#F7941E"/></svg> 101 Thomson Rd<br>#B1-26/27 United Square<br>Singapore 307591 </div> <div class="address_details"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path opacity="0.5" d="M9 1C11.0625 1 12.75 2.6875 12.75 4.75C12.75 6.28125 12.2188 6.6875 9.375 10.8125C9.1875 11.0938 8.78125 11.0938 8.59375 10.8125C5.75 6.6875 5.25 6.28125 5.25 4.75C5.25 2.6875 6.90625 1 9 1ZM0.3125 8.125L4.46875 6.25C4.59375 6.59375 4.75 6.90625 5 7.3125V15L0.65625 16.9688C0.34375 17.125 0 16.875 0 16.5V8.59375C0 8.375 0.09375 8.21875 0.3125 8.125ZM10.1875 11.375C10.6875 10.6562 11.125 10.0312 11.5 9.5C11.6875 9.25 11.8438 9.03125 12 8.8125V17L6 15V8.8125C6.125 9.03125 6.28125 9.25 6.46875 9.5C6.84375 10.0312 7.28125 10.6562 7.78125 11.375C8.0625 11.7812 8.5 12 9 12C9.46875 12 9.90625 11.7812 10.1875 11.375ZM17.3125 6.0625C17.625 5.90625 18 6.15625 18 6.53125V14.4375C18 14.6562 17.875 14.8125 17.6562 14.9062L13 17V8L17.3125 6.0625Z" fill="white"/><path d="M5 4.77051C5 2.57617 6.74316 0.8125 8.9375 0.8125C11.1113 0.8125 12.875 2.57617 12.875 4.77051C12.875 6.34961 12.3213 6.80078 9.32715 11.1074C9.14258 11.3945 8.71191 11.3945 8.52734 11.1074C5.5332 6.80078 5 6.34961 5 4.77051Z" fill="#F7941E"/></svg> 177A Thomson Road <br>Goldhill Centre<br>Singapore 307625 </div> <div class="address_details"> <svg width="18" height="18" viewBox="0 0 18 18" fill="none" xmlns="http://www.w3.org/2000/svg"><path opacity="0.5" d="M9 1C11.0625 1 12.75 2.6875 12.75 4.75C12.75 6.28125 12.2188 6.6875 9.375 10.8125C9.1875 11.0938 8.78125 11.0938 8.59375 10.8125C5.75 6.6875 5.25 6.28125 5.25 4.75C5.25 2.6875 6.90625 1 9 1ZM0.3125 8.125L4.46875 6.25C4.59375 6.59375 4.75 6.90625 5 7.3125V15L0.65625 16.9688C0.34375 17.125 0 16.875 0 16.5V8.59375C0 8.375 0.09375 8.21875 0.3125 8.125ZM10.1875 11.375C10.6875 10.6562 11.125 10.0312 11.5 9.5C11.6875 9.25 11.8438 9.03125 12 8.8125V17L6 15V8.8125C6.125 9.03125 6.28125 9.25 6.46875 9.5C6.84375 10.0312 7.28125 10.6562 7.78125 11.375C8.0625 11.7812 8.5 12 9 12C9.46875 12 9.90625 11.7812 10.1875 11.375ZM17.3125 6.0625C17.625 5.90625 18 6.15625 18 6.53125V14.4375C18 14.6562 17.875 14.8125 17.6562 14.9062L13 17V8L17.3125 6.0625Z" fill="white"/><path d="M5 4.77051C5 2.57617 6.74316 0.8125 8.9375 0.8125C11.1113 0.8125 12.875 2.57617 12.875 4.77051C12.875 6.34961 12.3213 6.80078 9.32715 11.1074C9.14258 11.3945 8.71191 11.3945 8.52734 11.1074C5.5332 6.80078 5 6.34961 5 4.77051Z" fill="#F7941E"/></svg> 31 Holland CI #01-225<br>Singapore 270031 </div> </div> <div class="footer_section_timings"> <div class="footer_timing_working"> <div class="footer_section_content days_week">Mon - Fri</div> <div class="footer_section_content hours_week">1 pm - 9 pm</div> </div> <div class="footer_timing_working"> <div class="footer_section_content days_week">Sat - Sun</div> <div class="footer_section_content hours_week">9 am - 6 pm</div> </div> <div class="footer_timing_holidays"> <div class="footer_section_content holidays">Closed on Public Holidays</div> </div> </div> </div> <div class="footer_section_content_address_office"> <div 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fill="white"/><path d="M5 4.77051C5 2.57617 6.74316 0.8125 8.9375 0.8125C11.1113 0.8125 12.875 2.57617 12.875 4.77051C12.875 6.34961 12.3213 6.80078 9.32715 11.1074C9.14258 11.3945 8.71191 11.3945 8.52734 11.1074C5.5332 6.80078 5 6.34961 5 4.77051Z" fill="#F7941E"/></svg> 3 Ang Mo Kio Street 62<br>#01-30 Link@AMK<br>Singapore 569139 </div> </div> <div class="footer_section_timings"> <div class="footer_timing_working"> <div class="footer_section_content days_week">Mon - Sun</div> <div class="footer_section_content hours_week">10 am - 7 pm</div> </div> <div class="footer_timing_holidays"> <div class="footer_section_content holidays">Closed on Public Holidays</div> </div> </div> </div> </div> </div> </div> <div id="footer_section_copyright_and_kidsafe_seal">  <div id="footer_section_policies"> <div class="footer_main_menu_section"> <div class="footer_country"> <div class="footer_country_dropdown"> <div class="footer_custom_dropdown"> <button class="footer_custom_dropdown_button"> <div 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All rights reserved.</div> </div>  </div> </div> </div> <style> #loading_container { display: none; position: fixed; z-index: 3000000001; /* Set to this to overlap Sleekflow */ text-align: center; top: 0; left: 0; right: 0; bottom: 0; opacity: 0; -webkit-tap-highlight-color: transparent; } #loading_bg { width: 100%; height: 100%; background: rgba(255, 255, 255, 0.5); } .loading_img { position: absolute; top: 50%; left: 50%; width: 100px; height: auto; margin-left: -50px; margin-top: -50px; -webkit-animation: spin 2s linear infinite; -moz-animation: spin 2s linear infinite; animation: spin 2s linear infinite; } @-moz-keyframes spin { 100% { -moz-transform: rotate(-360deg); } } @-webkit-keyframes spin { 100% { -webkit-transform: rotate(-360deg); } } @keyframes spin { 100% { -webkit-transform: rotate(-360deg); transform: rotate(-360deg); } } </style> <script> var loading_container_el, body_container_el; async.push(["ready", function() { loading_reload_variables(); }]); function hide_loading() { loading_reload_variables(); 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} /* MOBILE SCREEN SIZE */ @media only screen and (max-width: 768px) { #cta_sticky_popup_container { position: fixed; display: none; z-index: 3000000000; /* Set to this to overlap Sleekflow */ overflow: auto; z-index: 10; width: 100%; height: auto; bottom: 0; background-color: #6660B9; padding: 3.738vw 7.476vw; border-radius: 7.476vw 7.476vw 0 0; box-sizing: border-box; } #cta_sticky_popup_container.open { display: flex; } #cta_sticky_popup_container #cta_sticky_popup_form_title_mobile { display: block; font-family: "Museo Sans"; font-weight: 900; color: var(--white); font-size: 5.607vw; line-height: 1.2; padding-bottom: 3.738vw; } #cta_sticky_popup_container .sticky_cta_form_input { border: 0; margin: 0; color: var(--navy_blue); font-family: "Campton Book"; appearance: none; -moz-appearance: none; -webkit-appearance: none; width: 100%; box-sizing: border-box; border-radius: 2.57vw; font-size: 3.738vw; height: 11.215vw; line-height: 12.215vw; padding: 0 3.123vw 0; background-color: var(--white); } #cta_sticky_popup_container select.sticky_cta_form_input { cursor: pointer; } #cta_sticky_popup_container select.sticky_cta_form_input.placeholder, #cta_sticky_popup_container .sticky_cta_form_input::placeholder { color: var(--pale_silver); } #cta_sticky_popup_container .sticky_form_group { position: relative; display: flex; flex-direction: column; padding-bottom: 3.738vw; } #cta_sticky_popup_container #user_mobile_scta_container { position: relative; overflow: hidden; background-color: var(--white); box-sizing: border-box; display: flex; height: 11.215vw; align-items: flex-start; } #cta_sticky_popup_container #user_mobile_scta { font-size: 3.738vw; height: auto; line-height: 12.215vw; } /* mobile country code select */ #cta_sticky_popup_container .country_id_scta { -webkit-appearance: none; -moz-appearance: none; appearance: none; border: 0; } #cta_sticky_popup_container #user_mobile_scta { border: 0; margin: 0; padding: 0; color: var(--navy_blue); font-family: "Campton Book"; appearance: none; -moz-appearance: none; -webkit-appearance: none; box-sizing: border-box; flex-grow: 1; background-color: transparent; font-size: 3.738vw; height: auto; line-height: 12.215vw; } #cta_sticky_popup_container #user_mobile_scta::placeholder { color: var(--pale_silver); } #cta_sticky_popup_container.open ~ .select2-container .detail_country { display: inline-block; vertical-align: middle; font-size: 3.505vw; } #cta_sticky_popup_container .country_code { color: #aaaaaa; } #cta_sticky_popup_container.open ~ .select2-container .img_flag { display: inline-block; vertical-align: middle; margin-right: 0.935vw; width: 7.103vw; height: 4.299vw; background: url("../../../images/gb/flags.png") no-repeat 0 0; -webkit-background-size: cover; -moz-background-size: cover; -o-background-size: cover; background-size: cover; } #cta_sticky_popup_container #country_id_scta + .select2-container { width: 16vw !important; vertical-align: top !important; padding: 0; height: 100%; } #cta_sticky_popup_container #country_id_scta + .select2-container > * { width: 100%; line-height: 3.738vw; } #cta_sticky_popup_container .select2-container--default .select2-selection--single { background-color: transparent !important; border: 0 !important; height: auto !important; } #cta_sticky_popup_container #select2-country_id_scta-container { color: var(--navy_blue) !important; text-align: center; font-family: "Campton SemiBold"; letter-spacing: 0.187vw; font-size: 3.738vw; line-height: 12.215vw; padding: 0 7vw 0 0; } #cta_sticky_popup_container #user_mobile_scta_container #scta_phone_arrow_down { position: absolute; pointer-events: none; display: inline-flex; width: 2.516vw; top: 3.7vw; left: 13.8vw; transition: transform 0.3s; } #cta_sticky_popup_container #country_id_scta + .select2-container--open + #scta_phone_arrow_down { transform: rotate(180deg); } #cta_sticky_popup_container #scta_phone_arrow_down img { width: 100%; height: auto; } #cta_sticky_popup_container #scta_phone_arrow_down img:nth-child(2) { display: none; } #cta_sticky_popup_container #select2-country_id_scta-container + .select2-selection__arrow { display: none; } #cta_sticky_popup_container.open ~ .select2-container .select2-dropdown { top: 0; left: -2.804vw; width: 69.626vw !important; border-radius: 2.336vw !important; overflow: hidden; z-index: 3000000003; /* Set to this to overlap Sleekflow */ border: none; } #cta_sticky_popup_container.open ~ .select2-container .select2-search__field { font-family: "Museo Sans" !important; color: var(--navy_blue) !important; font-size: 3.505vw !important; border-radius: 2.336vw !important; } /* end of mobile country code select */ #cta_sticky_popup_container #level_scta_container #scta_phone_arrow_down { position: absolute; pointer-events: none; display: inline-flex; width: 2.516vw; top: 3.7vw; right: 3vw; transition: transform 0.3s; } #cta_sticky_popup_container .btn_sign_up_scta { display: block; width: 100%; width: calc(100% - 0.701vw); margin-left: 0.701vw; border-radius: 2.57vw; height: 10.514vw; line-height: 11.5vw; font-size: 3.738vw; } #cta_sticky_popup_container .btn_sign_up_scta.button:hover .button_bg_hover { width: 115%; } #cta_sticky_popup_container #scta_popup_agreement { font-family: "Campton Book"; color: var(--white); font-size: 2.803vw; line-height: 1.333; padding-top: 4.439vw; text-align: left; } #cta_sticky_popup_container #scta_popup_agreement a { text-decoration: underline; color: var(--white); } /* form error */ #cta_sticky_popup_container .sticky_form_group.input_error .sticky_cta_form_input, #cta_sticky_popup_container .sticky_form_group.input_error #user_mobile_scta_container { background-color: var(--rose_white); box-shadow: inset 0 0 0 0.467vw var(--dusty_red); } #cta_sticky_popup_container .sticky_form_group.input_error select.sticky_cta_form_input.placeholder, #cta_sticky_popup_container .sticky_form_group.input_error input.sticky_cta_form_input, #cta_sticky_popup_container .sticky_form_group.input_error #user_mobile_scta, #cta_sticky_popup_container .sticky_form_group.input_error input.sticky_cta_form_input::placeholder, #cta_sticky_popup_container .sticky_form_group.input_error #user_mobile_scta::placeholder { color: var(--dusty_red); } #cta_sticky_popup_container .sticky_form_group.input_error #select2-country_id_scta-container { color: var(--dusty_red) !important; } #cta_sticky_popup_container .sticky_form_group.input_error #scta_phone_arrow_down img:nth-child(1) { display: none; } #cta_sticky_popup_container .sticky_form_group.input_error #scta_phone_arrow_down img:nth-child(2) { display: block; } /* end of form error */ #btn_submit_scta.disable_button_submit { background-color: #B4B4B4; box-shadow: none; cursor: unset; pointer-events: none; } #button_submit_loading_animation_scta { width: 10.514vw; height: 100%; margin: auto; } .button_disable { display: none; } } </style> <div id="cta_sticky_popup_container"> <form id="cta_sticky_popup_body_form" method="post" action="https://geniebook.com/homepage/create_lead" onsubmit="event.preventDefault(); create_lead_sticky_cta();"> <div> <div id="cta_sticky_popup_form_title_mobile">Claim your free demo today!</div> <input id="lead_source_scta" name="lead_source" type="hidden" value=""> <input id="campaign_scta" name="campaign" type="hidden" value="Homepage-1"> <input id="nohuman_scta" class="nohuman" name="nohuman" type="text" value="" autocomplete="off"> <div class="sticky_form_group"> <div id="parent_name_scta_container" > <input id="parent_name_scta" class="sticky_cta_form_input" name="parent_name" type="text" placeholder="Parent name" onkeydown="$(this).parent().parent().removeClass('input_error');"> </div> </div> <div class="sticky_form_group"> <div id="user_mobile_scta_container" class="sticky_cta_form_input"> <select id="country_id_scta" name="country_id" class="phone_country_select country_code_select2 country_id_scta" onchange="$(this).parent().parent().removeClass('input_error');"></select> <div id="scta_phone_arrow_down"> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down.svg" loading="lazy" alt="Arrow Down" width="94" height="150"/> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down_dusty_red.svg" loading="lazy" alt="Arrow Down" width="94" height="150"/> </div> <input id="user_mobile_scta" name="user_mobile" type="tel" placeholder="Phone number" maxlength="18" onkeypress="return filterInput(1, event, '', '+');" onkeydown="$(this).parent().parent().removeClass('input_error');"> </div> </div> <div class="sticky_form_group"> <div id="email_scta_container" > <input id="email_address_scta" class="sticky_cta_form_input" name="email_address" type="text" placeholder="johndoe@gmail.com" onkeydown="$(this).parent().parent().removeClass('input_error');"> </div> </div> <div class="sticky_form_group"> <div id="level_scta_container"> <select id="level_id_scta" name="level_id" class="sticky_cta_form_input placeholder" onchange="$(this).parent().parent().removeClass('input_error');$(this).removeClass('placeholder');"> <option value="" disabled selected hidden>Select student level</option> <option value="1">Primary 1</option> <option value="2">Primary 2</option> <option value="3">Primary 3</option> <option value="4">Primary 4</option> <option value="5">Primary 5</option> <option value="6">Primary 6</option> <option value="7">Secondary 1</option> <option value="8">Secondary 2</option> <option value="9">Secondary 3</option> <option value="10">Secondary 4</option> </select> <div id="scta_phone_arrow_down"> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down.svg" loading="lazy" alt="Arrow Down" width="94" height="150"/> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down_dusty_red.svg" loading="lazy" alt="Arrow Down" width="94" height="150"/> </div> </div> </div> </div> <div> <button type="submit" id="btn_submit_scta" class="button btn_sign_up_scta"> <div class="button_bg_hover"></div> <div id="button_submit_text_scta" class="button_content">Click here to get started</div> <dotlottie-player id="button_submit_loading_animation_scta" class="button_disable" src="https://geniebook.com/images/button/four_dots_loading.lottie" loop autoplay></dotlottie-player> </button> <div id="scta_popup_agreement">*By submitting your phone number, we have your permission to contact you regarding Geniebook. See our <a href="https://geniebook.com/policies/privacy" target="_blank">Privacy Policy</a>.</div> </div> </form> </div><div id="cta_general_popup_container" class="cta_general_popup_container cta_general_popup_2"> <div id="cta_general_popup_content"> <div id="cta_general_popup_illustration"> <img id="cta_general_popup_illustration_bg" src="https://geniebook.com/images/popup/new_cta_bg.svg" loading="lazy" alt="Geniebook CTA Illustration" width="816" height="985"> <img id="cta_general_popup_illustration_bg_mobile" src="https://geniebook.com/images/popup/new_cta_bg_mobile.svg" loading="lazy" alt="Geniebook CTA Illustration" width="819" height="315"> <div id="cta_general_popup_illustration_title" class="cta_general_popup_title">Turn your child's weaknesses into strengths</div> <div class="cta_general_popup_circle_bg"></div> <picture><source srcset="data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mNkYAAAAAYAAjCB0C8AAAAASUVORK5CYII=" data-src="https://geniebook.com/images/popup/new_cta_bg_2.webp" type="image/webp"><img class="cta_general_popup_asset_bg" src="data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mNkYAAAAAYAAjCB0C8AAAAASUVORK5CYII=" data-src="https://geniebook.com/images/popup/new_cta_bg_2.png" alt="Geniebook CTA Illustration"></picture> <picture><source srcset="data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mNkYAAAAAYAAjCB0C8AAAAASUVORK5CYII=" data-src="https://geniebook.com/images/popup/new_cta_bg_mobile_2.webp" type="image/webp"><img class="cta_general_popup_asset_bg_mobile" src="data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAQAAAC1HAwCAAAAC0lEQVR42mNkYAAAAAYAAjCB0C8AAAAASUVORK5CYII=" data-src="https://geniebook.com/images/popup/new_cta_bg_mobile_2.png" alt="Geniebook CTA Illustration"></picture> </div> <img id="cta_general_popup_illustration_asset_mobile" src="https://geniebook.com/images/popup/new_cta_illustration_mobile.svg" loading="lazy" alt="Geniebook CTA Illustration" width="722" height="424"> <div id="cta_general_popup_body"> <div id="cta_general_popup_button_close" onclick="close_cta_general_popup()"> <svg xmlns="http://www.w3.org/2000/svg" width="500" height="500" viewBox="0 0 500 500"><path class="cls-1" d="M382.83,117.38c-8.22-8.22-21.51-8.22-29.73,0l-103.1,102.89-103.1-103.1c-8.22-8.22-21.51-8.22-29.73,0-8.22,8.22-8.22,21.51,0,29.73l103.1,103.1-103.1,103.1c-8.22,8.22-8.22,21.51,0,29.73,8.22,8.22,21.51,8.22,29.73,0l103.1-103.1,103.1,103.1c8.22,8.22,21.51,8.22,29.73,0,8.22-8.22,8.22-21.51,0-29.73l-103.1-103.1,103.1-103.1c8.01-8.01,8.01-21.51,0-29.52Z"/></svg> </div> <form id="cta_general_popup_body_form" method="post" action="https://geniebook.com/homepage/create_lead" onsubmit="event.preventDefault(); create_lead_general_cta();"> <div id="cta_general_popup_form_upper"> <div id="cta_general_popup_form_title_mobile" class="cta_general_popup_title">Turn your child's weaknesses into strengths</div> <div id="cta_general_popup_form_desc">Get a free diagnostic report of your child’s strengths & weaknesses!</div> <input id="lead_source_general_cta" name="lead_source" type="hidden" value=""> <input id="campaign_general_cta" name="campaign" type="hidden" value="Homepage-1"> <input id="nohuman_general_cta" class="nohuman" name="nohuman" type="text" value="" autocomplete="off"> <div class="form_group parent_name_general_cta"> <label for="parent_name">Your Name</label> <input id="parent_name_general_cta" class="cta_general_form_input" name="parent_name" type="text" placeholder="Parent name" onkeydown="$(this).parent().removeClass('input_error');"> </div> <div class="form_group user_mobile_general_cta"> <label for="user_mobile">Phone Number</label> <div id="user_mobile_cta_general_container" class="cta_general_form_input"> <select id="country_id_general_cta" name="country_id" class="phone_country_select country_code_select2 country_id_general_cta" onchange="$(this).parent().parent().removeClass('input_error');"></select> <div id="cta_general_phone_arrow_down"> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down.svg" loading="lazy" alt="Arrow Down" width="94" height="150"> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down_dusty_red.svg" loading="lazy" alt="Arrow Down" width="94" height="150"> </div> <input id="user_mobile_general_cta" name="user_mobile" type="tel" placeholder="Insert valid phone number" maxlength="18" onkeypress="return filterInput(1, event, '', '+');" onkeydown="$(this).parent().parent().removeClass('input_error');"> </div> </div> <div class="form_group level_id_general_cta"> <div id="level_id_cta_general_container"> <select id="level_id_general_cta" class="cta_general_form_input placeholder" name="level_id" onchange="$(this).parent().parent().removeClass('input_error');$(this).removeClass('placeholder');"> <option value="" class="default_option" disabled selected hidden>Choose student grade</option> <option value="1">Primary 1</option> <option value="2">Primary 2</option> <option value="3">Primary 3</option> <option value="4">Primary 4</option> <option value="5">Primary 5</option> <option value="6">Primary 6</option> <option value="7">Secondary 1</option> <option value="8">Secondary 2</option> <option value="9">Secondary 3</option> <option value="10">Secondary 4</option> </select> <div id="cta_general_level_arrow_down"> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down.svg" alt="Arrow Down" width="94" height="150"/> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down_dusty_red.svg" alt="Arrow Down" width="94" height="150"/> </div> </div> </div> </div> <div id="cta_general_popup_form_error" class="cta_general_popup_form_result"> <div class="cta_general_popup_form_result_title">Error</div> <div class="cta_general_popup_form_result_msg">Oops! Something went wrong.<br>Let’s refresh the page!</div> </div> <div id="cta_general_popup_form_error_reload" class="cta_general_popup_form_result"> <div class="cta_general_popup_form_result_title">Error</div> <div class="cta_general_popup_form_result_msg">Oops! Something went wrong.<br>Let’s refresh the page!</div> </div> <div id="cta_general_popup_form_submitted" class="cta_general_popup_form_result"> <div class="cta_general_popup_form_result_title">We got your request!</div> <div class="cta_general_popup_form_result_msg">A consultant will be contacting you in the next few days to schedule a demo!</div> </div> <div id="cta_general_popup_form_lower"> <button type="submit" id="btn_submit_general_cta" class="button btn_sign_up_general_cta"> <div class="button_bg_hover"></div> <div id="button_submit_text_cta_general_popup" class="button_content">Click here to get started</div> <dotlottie-player id="button_submit_loading_animation_cta_general_popup" class="button_disable" src="https://geniebook.com/images/button/four_dots_loading.lottie" loop autoplay></dotlottie-player> </button> <div id="btn_done_general_cta" class="button btn_sign_up_general_cta" onclick="close_cta_general_popup()"> <div class="button_bg_hover"></div> <div class="button_content">Return to Homepage</div> </div> <div id="btn_reload_general_cta" class="button btn_sign_up_general_cta" onclick="location.reload()"> <div class="button_bg_hover"></div> <div class="button_content">Reload Page</div> </div> <div id="cta_general_popup_agreement">*By submitting your phone number, we have your permission to contact you regarding Geniebook. See our <a href="https://geniebook.com/policies/privacy" target="_blank">Privacy Policy</a>.</div> </div> </form> </div> </div> <div id="cta_general_popup_overlay"></div> </div><div id="cta_popup_container" class="cta_popup_container" design="1"> <div id="cta_popup_content"> <div id="cta_popup_body"> <div id="cta_popup_body_circle_bg"></div> <div class="cta_popup_body_title_container"> <div id="cta_popup_form_title" class="cta_popup_title">Gain access to <span>300,000</span> questions aligned to MOE syllabus</div> <div id="cta_popup_form_desc">Trusted by over 220,000 students.</div> <div id="cta_popup_form_desc_mob">Trusted by over 220,000 students.</div> </div> <div class="cta_popup_body_content_container"> <div class="cta_popup_body_content_left_container"> <form id="cta_popup_body_form" method="post" action="https://geniebook.com/homepage/create_lead" onsubmit="event.preventDefault(); create_lead_cta();"> <div id="cta_popup_form_upper"> <input id="lead_source_cta" name="lead_source" type="hidden" value=""> <input id="campaign_cta" name="campaign" type="hidden" value="Homepage-1" readonly> <input id="nohuman_cta" class="nohuman" name="nohuman" type="text" value="" autocomplete="off"> <div class="form_group parent_name_cta"> <input id="parent_name_cta" class="cta_form_input" name="parent_name" type="text" placeholder="Parent name" onkeydown="$(this).parent().removeClass('input_error');"> </div> <div class="form_group user_mobile_cta"> <div id="user_mobile_cta_container" class="cta_form_input"> <select id="country_id_cta" name="country_id" class="phone_country_select country_code_select2 country_id_cta" onchange="$(this).parent().parent().removeClass('input_error');"></select> <div id="cta_phone_arrow_down"> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down.svg" loading="lazy" alt="Arrow Down" width="94" height="150"> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down_dusty_red.svg" loading="lazy" alt="Arrow Down" width="94" height="150"> </div> <input id="user_mobile_cta" name="user_mobile" type="tel" placeholder="Insert valid phone number" maxlength="18" onkeypress="return filterInput(1, event, '', '+');" onkeydown="$(this).parent().parent().removeClass('input_error');"> </div> </div> <div class="form_group level_id_cta"> <div id="level_id_cta_container"> <select id="level_id_cta" class="cta_form_input placeholder" name="level_id" onchange="$(this).parent().parent().removeClass('input_error');$(this).removeClass('placeholder');"> <option value="" class="default_option" disabled selected hidden>Student age</option> <option value="1">7 years old</option> <option value="2">8 years old</option> <option value="3">9 years old</option> <option value="4">10 years old</option> <option value="5">11 years old</option> <option value="6">12 years old</option> <option value="7">13 years old</option> <option value="8">14 years old</option> <option value="9">15 years old</option> <option value="10">16 years old</option> </select> <div id="cta_level_arrow_down"> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down.svg" alt="Arrow Down" width="94" height="150"/> <img src="https://geniebook.com/images/footer/icons/icon_arrow_down_dusty_red.svg" alt="Arrow Down" width="94" height="150"/> </div> </div> </div> </div> <div id="cta_popup_form_error" class="cta_popup_form_result"> <div class="cta_popup_form_result_title">Error</div> <div class="cta_popup_form_result_msg">Oops! 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Something went wrong.<br>Let’s refresh the page!</div> </div> <div id="cta_popup_form_submitted" class="cta_popup_form_result"> <div class="cta_popup_form_result_title">We got your request!</div> <div class="cta_popup_form_result_msg">A consultant will be contacting you in the next few days to schedule a demo!</div> </div> <div id="cta_popup_form_lower"> <button type="submit" id="btn_submit_cta" class="button btn_sign_up_cta"> <div class="button_bg_hover"></div> <div id="button_submit_text_cta_popup" class="button_content">I want more practice!</div> <dotlottie-player id="button_submit_loading_animation_cta_popup" class="button_disable" src="https://geniebook.com/images/button/four_dots_loading.lottie" loop autoplay></dotlottie-player> </button> <button id="btn_done_cta" class="button btn_sign_up_cta" onclick="close_cta_popup()"> <div class="button_bg_hover"></div> <div class="button_content">Return to Homepage</div> </button> <button id="btn_reload_cta" class="button btn_sign_up_cta" onclick="location.reload()"> <div class="button_bg_hover"></div> <div class="button_content">Reload Page</div> </button> <div id="cta_popup_agreement">*By submitting your phone number, we have your permission to contact you regarding Geniebook. 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