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href="../2122/21-22-introducing-functions-.html">2.1 & 2.2 Introducing Functions </a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2127/23-24-key-features-of-functions-and-graphing-.html">2.3 & 2.4 Key Features of Functions And Graphing </a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2207/25-linear-models.html">2.5 Linear models</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2256/25-quadratic-models.html">2.5 Quadratic Models</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2257/25-exponential-models.html">2.5 Exponential Models</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2186/25-trigonometric-models-.html">2.5 Trigonometric Models </a></label></li></ul></li><li class=""><label style="padding-left: 0px"><a class="expander" href="#" 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Circles</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2120/35-36-perpendicular-bisectors-voronoi-diagrams-.html"> 3.5 & 3.6 Perpendicular Bisectors & Voronoi Diagrams </a></label></li></ul></li><li class=""><label style="padding-left: 0px"><a class="expander" href="#" style="font-size: .9em"><i class="fa fa-fw fa-caret-right"></i></a><a href="../1065/statistics-and-probability.html">Statistics and Probability</a></label><ul class="side-nav level-1"><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2188/41-statistical-concepts.html">4.1 Statistical concepts</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2099/42-43-cumulative-frequency-box-plots-.html">4.2 & 4.3 Cumulative Frequency & Box Plots </a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2189/43-central-tendency-and-dispersion.html">4.3 Central tendency and Dispersion</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2266/44-bivariate-data-linear-correlation.html">4.4 Bivariate data & Linear Correlation</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2258/45-46-probability.html">4.5 & 4.6 Probability</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2190/47-discrete-random-variables.html">4.7 Discrete random variables</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2403/48-binomial-distribution.html">4.8 Binomial Distribution</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2191/49-normal-distribution.html">4.9 Normal Distribution</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2407/410-spearmans-rank-correlation-coefficient.html">4.10 Spearman's Rank Correlation Coefficient</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2259/411-chi-squared-independence-tests.html">4.11 Chi Squared Independence tests</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2413/411-chi-squared-goodness-of-fit-and-the-t-test.html">4.11 Chi Squared Goodness of Fit and the T-Test</a></label></li></ul></li><li class=""><label style="padding-left: 0px"><a class="expander" href="#" style="font-size: .9em"><i class="fa fa-fw fa-caret-right"></i></a><a href="../1078/calculus.html">Calculus</a></label><ul class="side-nav level-1"><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2400/51-53-introduction-to-calculus.html">5.1 & 5.3 Introduction to Calculus</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2401/52-54-tangents-normals-and-the-second-derivative.html">5.2 & 5.4 Tangents, normals and the second derivative</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2402/56-57-stationary-points-and-optimisation.html">5.6 & 5.7 Stationary Points and Optimisation</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2197/55-58-integration-and-trapezoidal-rule.html">5.5 & 5.8 Integration and Trapezoidal rule</a></label></li></ul></li><li class="expanded parent selected"><label style="padding-left: 0px"><a class="expander" href="#" style="font-size: .9em"><i class="fa fa-fw fa-caret-right"></i></a><a href="pre-ib-preparation-.html">Pre-IB Preparation </a></label><ul class="side-nav level-1"><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2812/pre-ib-weekly-quiz-1.html">Pre-IB Weekly Quiz 1</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2814/pre-ib-weekly-quiz-2.html">Pre IB Weekly Quiz 2</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2815/pre-ib-weekly-quiz-3.html">Pre-IB Weekly Quiz 3</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2819/pre-ib-weekly-quiz-4.html">Pre-IB Weekly Quiz 4</a></label></li></ul></li><li class=""><label style="padding-left: 0px"><a class="expander" href="#" style="font-size: .9em"><i class="fa fa-fw fa-caret-right"></i></a><a href="../1082/exams-assessment.html">Exams & Assessment</a></label><ul class="side-nav level-1"><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../1083/ia-technology.html">IA & technology</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../1085/exam-advice.html">Exam Advice</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../1084/sixes-sevens.html">Sixes & sevens</a></label></li></ul></li><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../2928/for-teachers.html">For Teachers</a></label></li></ul></div> <div class="hidden-xs hidden-sm"> <button class="btn btn-default btn-block text-xs-center" data-toggle="modal" data-target="#modal-feedback" style="margin-bottom: 10px"><i class="fa fa-send"></i> Feedback</button> </div> </div> <div class="col-md-9" id="main-column"> <h1 class="page_title"> Pre-IB Preparation <a href="#" class="mark-page-favorite pull-right" data-pid="2800" title="Mark as favorite" onclick="return false;"><i class="fa fa-star-o"></i></a> </h1> <ol class="breadcrumb"> <li><a href="../../../mathsapplications.html"><i class="fa fa-home"></i> Home</a><i class="fa fa-fw fa-chevron-right divider"></i></li><li><span class="gray">Pre-IB Preparation </span></li> </ol> <article id="main-article"> <div class="intro-card" readonly="false"><img class="intro-image" readonly="true" src="../../images/dans-images/pexels-keira-burton-6146978.jpg" style="width: 200px; height: 133px;"> <div class="content" readonly="true"> <p class="text">Welcome to the IB-preparation page for the Applications and Interpretations course. This page will help you to consolidate concepts you may have covered previously to ensure you have a solid base to begin the course on a strong footing. If you would like to dig deeper into more of the content in A&I, please do feel free to explore the pages across the rest of the site. Good luck with the start of your IB Diploma journey in mathematics!</p> </div> </div> <div class="panel panel-has-colored-body panel-turquoise"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <p>Key Concepts</p> </div> </div> <div class="panel-body"> <p>The knowledge and skills you will consolidate in preparation for the course are: </p> <ul> <li>Pythagoras' Theorem: Distance between two points </li> <li>Rounding and Significant Figures</li> <li>Forming and Solving Linear Equations: Real Life Contexts</li> <li>Rearranging Linear Equations</li> <li>Straight Line Graphs</li> <li>Exponents (Indices)</li> <li>Area and Volume Fundamentals</li> <li>Get to know your Graphic Display Calculator </li> </ul> <p>For further consolidation of concepts you may have already covered, see the following pages on the site:</p> <ul> <li>Page 1.1: Standard Index Form (Scientific Notation)</li> <li>Page 1.4 & 1.7: Compound Interest</li> <li>Page 1.5: Laws of Exponents</li> <li>Page 1.6: Significant Figures, Lower and Upper Bounds and Percentage Error. </li> <li>Page 2.1 & 2.2: Introducing Functions</li> <li>Page 2.5: Linear Models</li> <li>Page 2.5: Quadratic Models </li> <li>Page 3.1: Volume and Surface Area</li> <li>Page 3.2: Right angled Trigonometry</li> <li>Page 3.3: Non-right angled Trigonometry </li> <li>Page 3.3: Applications of Trigonometry </li> <li>Page 4.2: Cumulative Frequency and Box Plots</li> <li>Page 4.3: Central Tendency and Dispersion </li> </ul> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> <div class="panel panel-has-colored-body panel-yellow"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <p>Essentials</p> </div> </div> <div class="panel-body"> <div class="panel panel-has-colored-body panel-orange"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>1. Pythagoras' Theorem: Distance between two points </p> </div> </div> <div class="panel-body"> <div> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/710694696"></iframe></div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-expandable panel-yellow"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>2. Rounding and Significant Figures </p> </div> </div> <div class="panel-body"> <div>Rounding using decimal places:</div> <div> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/455197229?h=3d91071c88"></iframe></div> </div> <div> </div> <div>Rounding using significant figures</div> <div> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/455202494?h=534bb74535"></iframe></div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-expandable panel-yellow"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>3. Solving Linear Equations</p> </div> </div> <div class="panel-body"> <div> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/710723452"></iframe></div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-yellow panel-has-colored-body panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>4. Rearranging Linear Equations</p> </div> </div> <div class="panel-body"> <div> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/711792694"></iframe></div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-expandable panel-yellow"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>5. Straight Line Graphs 1: Intuitive Understanding</p> </div> </div> <div class="panel-body"> <div> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/710846744"></iframe></div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-yellow panel-has-colored-body panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>6. Straight Line Graphs: Going more technical...</p> </div> </div> <div class="panel-body"> <div> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/711372745"></iframe></div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-yellow panel-has-colored-body panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div>7. Exponents (Indices)</div> </div> <div class="panel-body"> <div> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/666476499?h=1028b9bd47"></iframe></div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-yellow panel-has-colored-body panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div>8. Area Fundamentals: The Formula Booklet</div> </div> <div class="panel-body"> <div> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/710695483"></iframe></div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-yellow panel-has-colored-body panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div>9. Volume Fundamentals: The Formula Booklet</div> </div> <div class="panel-body"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/710784028"></iframe></div> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-yellow panel-has-colored-body panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div>10. Getting to know your Graphic Display Calculator (GDC)</div> </div> <div class="panel-body"> <div>Casio: </div> <div style="text-align: center;"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/713711073"></iframe></div> </div> <div> </div> <div>TI-84: </div> <div> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/717438264"></iframe></div> </div> <div> </div> <div>TI-Nspire:</div> <div> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/717429359"></iframe></div> </div> </div> <div class="panel-footer"> <div> </div> </div> </div> </div> </div> <div class="panel panel-has-colored-body panel-violet"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <p>Summary</p> </div> </div> <div class="panel-body"> <p>These slides summarise the essential understanding and skills in this topic. They are what we have previously included as 'Flash Cards' or 'revision cards</p> <ul class="gallery layout-row thumb48"><li class=""><a href="../../../std-galleries/15-284/s8.png" data-fancybox="gallery-284" class="fancy"><img src="../../../std-galleries/15-284/s8-thumb128.jpg" class="thumb"></a></li><li class=""><a href="../../../std-galleries/15-284/s7.png" data-fancybox="gallery-284" class="fancy"><img src="../../../std-galleries/15-284/s7-thumb128.jpg" class="thumb"></a></li><li class=""><a href="../../../std-galleries/15-284/s6.png" data-fancybox="gallery-284" class="fancy"><img src="../../../std-galleries/15-284/s6-thumb128.jpg" class="thumb"></a></li><li class=""><a href="../../../std-galleries/15-284/s5.png" data-fancybox="gallery-284" class="fancy"><img src="../../../std-galleries/15-284/s5-thumb128.jpg" class="thumb"></a></li><li class=""><a href="../../../std-galleries/15-284/s4.png" data-fancybox="gallery-284" class="fancy"><img src="../../../std-galleries/15-284/s4-thumb128.jpg" class="thumb"></a></li><li class=""><a href="../../../std-galleries/15-284/s3.png" data-fancybox="gallery-284" class="fancy"><img src="../../../std-galleries/15-284/s3-thumb128.jpg" class="thumb"></a></li><li class=""><a href="../../../std-galleries/15-284/s1.png" data-fancybox="gallery-284" class="fancy"><img src="../../../std-galleries/15-284/s1-thumb128.jpg" class="thumb"></a></li><li><a href="../../../std-galleries/15-284/s2.png" data-fancybox="gallery-284" class="fancy"><img src="../../../std-galleries/15-284/s2-thumb128.jpg" class="thumb"></a></li></ul> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> <div class="panel panel-has-colored-body panel-green"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <p>Test yourself</p> </div> </div> <div class="panel-body"> <h4>Self Checking Quiz</h4> <p>Practice your understanding on these quiz questions. Check your answers when you are done and read the worked solutions when you get stuck. If you find there are still some gaps in your understanding then go back to the videos above<em>.</em></p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="tib-quiz" data-stats="15-912-2800"><div class="label label-default q-number">1</div><div class="exercise shadow-bottom"><div class="q-question"><p>What is the distance between coordinates A and B?</p><p>A: (3,5)</p><p>B:(5, 7)</p></div><div class="q-answer"><p> <input type="text" style="height: auto;" data-c="2.83"> <span class="review"></span></p></div><div class="q-explanation"><p>Use Pythagoras to calculate this:</p><p><span class="math-tex">\(\sqrt{\left(\left(5-3\right)^{2}+\left(7-5\right)^{2}\right)}=2.828...\)</span></p><p>which rounds to 3sf to 2.83</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">2</div><div class="exercise shadow-bottom"><div class="q-question"><p>Find</p><p><span class="math-tex">\({ 5 }^{ -2 }\times { 5 }^{ 5 }\)</span></p></div><div class="q-answer"><p><label class="radio"> <input type="radio"> <span class="math-tex">\({ 5 }^{ -10 }\)</span></label> </p><p><label class="radio"> <input class="c" type="radio"> <span class="math-tex">\({ 5 }^{ 3 }\)</span></label> </p><p><label class="radio"> <input type="radio"> <span class="math-tex">\({ 25 }^{ -10 }\)</span></label> </p><p><label class="radio"> <input type="radio"> <span class="math-tex">\({ 25 }^{ 3 }\)</span></label> </p></div><div class="q-explanation"><p>When the bases are the same, multiply the exponents only.</p><p><span class="math-tex">\({ =5 }^{ (-2+5) }\)</span></p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">3</div><div class="exercise shadow-bottom"><div class="q-question"><p>A triangular prism has a volume of 300 cm<sup>3</sup> and a length of 15cm.</p><p>a) What is the area of the triangular cross section?</p><p>b) If the triangular cross section has a height of 5cm, how long is its base?</p></div><div class="q-answer"><p>a) Area of triangular face is <input type="text" style="height: auto;" data-c="20"> <span class="review"></span> cm<sup>2</sup></p><p>b) the base of the triangular criss section is <input type="text" style="height: auto;" data-c="8"> <span class="review"></span> cm</p></div><div class="q-explanation"><p>a) Volume = Cross section x length, so 300 = Cross section x 15. Cross section = 300/15</p><p>b) Area of truiangle is base x height / 2. If base x 5/2 = 20 then base must be 8</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">4</div><div class="exercise shadow-bottom"><div class="q-question"><p>Which of the following graphs is the function y = 3x + 2?</p><p style="text-align: center;"><img alt="" src="../../files/MM/LM/Q4.jpg" style="width: 400px; height: 344px;"></p></div><div class="q-answer"><p><label class="checkbox" style=" float: left; margin-right: 40px; "><input class="c" type="checkbox"> D</label></p><p><label class="checkbox" style=" float: left; margin-right: 40px; "><input type="checkbox"> A</label></p><p><label class="checkbox" style=" float: left; margin-right: 40px; "><input type="checkbox"> B</label></p><p><label class="checkbox" style=" float: left; margin-right: 40px; "><input type="checkbox"> C</label></p></div><div class="q-explanation"><p>Gradient is 3 and intercept is positive 2.</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">5</div><div class="exercise shadow-bottom"><div class="q-question"><p>Which of the following is 452756 correctly rounded to 3 significant figures</p></div><div class="q-answer"><p><label class="radio"><input type="radio">453 </label></p><p><label class="radio"> <input type="radio">452000</label></p><p><label class="radio"> <input class="c" type="radio"> 453000</label></p><p><label class="radio"><input type="radio">450000</label></p></div><div class="q-explanation"><p>453000 - the third non zero digit is 2, which becomes 3 because of the 7 that follows</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">6</div><div class="exercise shadow-bottom"><div class="q-question"><p>Which of the following is 0.003046 correctly rounded to 3 significant figures</p></div><div class="q-answer"><p><label class="radio"> <input type="radio">0.00304</label></p><p><label class="radio"> <input class="c" type="radio"> 0.00305</label></p><p><label class="radio"><input type="radio">0.003</label></p><p><label class="radio"><input type="radio"><span>0</span></label> </p></div><div class="q-explanation"><p>0.00305 - the third non zero digit is 4, which is rounded up to 7 because of the 6 that follows</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">7</div><div class="exercise shadow-bottom"><div class="q-question"><p>What is the distance between coordinates A and B?</p><p>A: (3,3)</p><p>B:(7, 7)</p></div><div class="q-answer"><p> <input type="text" style="height: auto;" data-c="5.66"> <span class="review"></span></p></div><div class="q-explanation"><p>Use Pythagoras to calculate this:</p><p><span class="math-tex">\(\sqrt{\left(\left(7-3\right)^{2}+\left(7-3\right)^{2}\right)}=5.6568...\)</span></p><p>which rounds to 3sf to 5.66</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">8</div><div class="exercise shadow-bottom"><div class="q-question"><p>If <span class="math-tex">\(350-90C=100\)</span>, what is the value of <span class="math-tex">\(C\)</span>? (<em>to 3sf</em>)</p></div><div class="q-answer"><p>C = <input type="text" style="height: auto;" data-c="2.78"> <span class="review"></span> </p></div><div class="q-explanation"><p>1. Subtract 350 from both sides. </p><p>2. divide both sides by -90. </p><p>3. Remember to round to three significant figures!</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">9</div><div class="exercise shadow-bottom"><div class="q-question"><p>If <span class="math-tex">\(2t-4=4t-6\)</span>, what is the value of <span class="math-tex">\(t\)</span>? (<em>to 3sf</em>)</p></div><div class="q-answer"><p>t= <input type="text" style="height: auto;" data-c="1"> <span class="review"></span> </p></div><div class="q-explanation"><p>1.Subtract 2t from both sides </p><p>2. Add 6 to both sides</p><p>3. Divide both sides by 2</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">10</div><div class="exercise shadow-bottom"><div class="q-question"><p>What is the longest length of a triangle with shorter sides 12 and 40?</p></div><div class="q-answer"><p> <input type="text" style="height: auto;" data-c="41.8"> <span class="review"></span></p></div><div class="q-explanation"><p>Use Pythagoras to calculate this:</p><p><span class="math-tex">\(\sqrt{\left(12^{2}+40^{2}\right)}\)</span></p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">11</div><div class="exercise shadow-bottom"><div class="q-question"><p>Rearrange the equation <span class="math-tex">\(y=2x-1\)</span> to make <span class="math-tex">\(x\)</span> the subject</p></div><div class="q-answer"><p>x= <input type="text" style="height: auto;" data-c="(y+1)/2"> <span class="review"></span> </p></div><div class="q-explanation"><p> </p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">12</div><div class="exercise shadow-bottom"><div class="q-question"><p>Write an equation to represent the following situation. </p><p>The Cost (C) of roses for a Sonali's wedding has a flat fee of £50 and is £2 extra for each additional rose (r)</p></div><div class="q-answer"><p> C=<input type="text" style="height: auto;" data-c="2r+50"> <span class="review"></span> </p></div><div class="q-explanation"></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">13</div><div class="exercise shadow-bottom"><div class="q-question"><p>What is the equation of the line that crosses through the coordinates (3,3) and (0,-3), written in the form <span class="math-tex">\(y=mx+c\)</span></p></div><div class="q-answer"><p>y= <input type="text" style="height: auto;" data-c="2x-3"> <span class="review"></span> </p></div><div class="q-explanation"><p>1. Find the gradient first</p><p>2. Substitute the gradient and a coordinate into the equation of a straight line formula </p><p>(for more support with this specific skill, watch video 6 in the 'pre-IB preparation' page)</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">14</div><div class="exercise shadow-bottom"><div class="q-question"><p>Which formulae below find the circumference of a circle, C, with radius, r, and diameter, d?</p></div><div class="q-answer"><p><label class="checkbox"><input class="c" type="checkbox"> <span class="math-tex">\(C=\pi d\)</span></label></p><p><label class="checkbox"><input class="c" type="checkbox"> <span class="math-tex">\(C=2\pi r\)</span></label></p><p><label class="checkbox"><input type="checkbox"> <span class="math-tex">\(C=\frac { \theta }{ 360 } \times 2\pi r\)</span></label></p><p><label class="checkbox"><input type="checkbox"> <span class="math-tex">\(C=\pi {r}^2\)</span></label></p></div><div class="q-explanation"><p>See answers.</p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="label label-default q-number">15</div><div class="exercise shadow-bottom"><div class="q-question"><p>Find the volume of the cylinder with diameter 10cm and height of 10cm. Give your answer in terms of pi. <a href="https://file-manager.studyib.net/mathsapplications/prism-2.png"><img alt="" src="https://file-manager.studyib.net/mathsapplications/prism-2.png"></a></p></div><div class="q-answer"><p>Volume= <input type="text" style="height: auto;" data-c="250"> <span class="review"></span> <span class="math-tex">\(\pi cm^3\)</span></p></div><div class="q-explanation"><p><span class="math-tex">\(\pi\cdot5^{2}\cdot10\)</span></p></div><div class="actions"><span class="score" data-score="0"></span><button class="btn btn-default btn-sm btn-xs-block text-xs-center check"><i class="fa fa-check-square-o"></i> Check</button></div></div><div class="totals"><span class="score"></span><button class="btn btn-success btn-block text-center check-total"><i class="fa fa-check-square-o"></i> Check</button></div></div><hr> </section> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <p>Exam Style Questions</p> </div> </div> <div class="panel-body"> <p>The following are exam style questions on this topic that you should try on your own before checking against the video solution.</p> <div class="panel panel-has-colored-body panel-default"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 1</p> </div> </div> <div class="panel-body"> <p><img alt="" src="../../images/dans-images/exam-q1.png" style="width: 650px; height: 252px;"></p> <p>Video Solution and Worked Solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/717215450"></iframe></div> <p style="text-align: center;"><img alt="" src="../../files/pre-ib/preibq1.jpg" style="width: 700px; height: 544px;"></p> </section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 2</p> </div> </div> <div class="panel-body"> <p><img alt="" src="../../images/dans-images/exam-q2.png" style="width: 650px; height: 302px;"> </p> <p>Video Solution and Worked Solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/717218959"></iframe></div> <p style="text-align: center;"><img alt="" src="../../files/pre-ib/preib2.jpg" style="width: 700px; height: 476px;"></p> </section> </div> <div class="panel-footer"> <div> </div> </div> </div> <div class="panel panel-has-colored-body panel-default panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Question 3</p> </div> </div> <div class="panel-body"> <p><img alt="" src="../../images/dans-images/exam-q3.png" style="width: 650px; height: 358px;"> </p> <p>Video Solution and Worked Solution</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="video-embed vimeo"><iframe allow="accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" mozallowfullscreen="" webkitallowfullscreen="" height="420" width="100%" src="https://player.vimeo.com/video/717221714"></iframe></div> <p style="text-align: center;"><img alt="" src="../../files/pre-ib/preib3ab.jpg" style="width: 700px; height: 413px;"></p> <p style="text-align: center;"><img alt="" src="../../files/pre-ib/preib3c.jpg" style="width: 700px; height: 518px;"></p> </section> </div> </div> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> <div class="panel panel-indigo panel-has-colored-body panel-has-border panel-expandable"> <div class="panel-heading"><a class="expander" href="#"><span class="fa fa-plus"></span></a> <div> <p>Pre-IB Weekly quiz 1</p> </div> </div> <div class="panel-body"> <div> <p>Follow this link to the first pre-IB weekly quiz! 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