File "exam-tips.html"
Path: /StudyIB/mathsanalysis/page/857/exam-tipshtml
File size: 73.26 KB
MIME-type: text/html
Charset: utf-8
<!DOCTYPE html><html lang="EN"><head> <script>(function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start': new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0], j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src= 'https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f); })(window,document,'script','dataLayer','GTM-PZBWZ8J');</script> <title>Exam Tips</title><!-- Removed by WebCopy --><!--<base href="/">--><!-- Removed by WebCopy --><meta http-equiv="x-ua-compatible" content="IE=Edge"><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1"><link href="../../../css/bootstrap.flatly.min.css" rel="stylesheet" media="screen"><link rel="stylesheet" href="../../../fonts/awesome/css/font-awesome.min.css"><link href="../../../js/jquery-fancybox/jquery.fancybox.min.css" type="text/css" rel="stylesheet"><link rel="stylesheet" href="../../../css/style.min.css?v=202301301645"><meta name="robots" content="index, follow"><meta name="googlebot" content="noarchive"><meta prefix="og: http://ogp.me/ns#" property="og:title" name="og:title" content="StudyIB Maths: Analysis & Approaches: Exam Tips"> <meta prefix="og: http://ogp.me/ns#" property="og:image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta prefix="og: http://ogp.me/ns#" property="og:description" name="og:description" content="Go from exam fail to exam ace. Improve your predicted grade from a 3 to a 7. Become an expert at IBDP mathematics. It would be nice if, by following a few tips on an 'exam tips' page, we could be all magically achieve that overnight. The truth..."> <meta prefix="og: http://ogp.me/ns#" property="og:url" name="og:url" content="https://studyib.net/mathsanalysis/page/857/exam-tips"> <meta prefix="og: http://ogp.me/ns#" property="og:site_name" name="og:site_name" content="StudyIB - Your IB learning companion"> <meta prefix="og: http://ogp.me/ns#" property="og:locale" name="og:locale" content="en"> <meta prefix="og: http://ogp.me/ns#" property="og:type" name="og:type" content="website"> <meta name="description" content="Go from exam fail to exam ace. Improve your predicted grade from a 3 to a 7. Become an expert at IBDP mathematics. It would be nice if, by following a few tips on an 'exam tips' page, we could be all magically achieve that overnight. The truth..."> <meta name="image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta name="keywords" content="Examination, Preparation, Advice, Study skills, Flash cards, IB, IBDP, InThinking, International Baccalaureate, Revision, Revision websites, Student Sites, Students, Learning, Guidance, Exam, Questions, Practice problems, Diagnose, Help"> <meta itemprop="name" content="StudyIB Maths: Analysis & Approaches: Exam Tips"> <meta itemprop="description" content="Go from exam fail to exam ace. Improve your predicted grade from a 3 to a 7. Become an expert at IBDP mathematics. It would be nice if, by following a few tips on an 'exam tips' page, we could be all magically achieve that overnight. The truth..."> <meta itemprop="image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta name="twitter:card" content="summary_large_image"> <meta name="twitter:title" content="StudyIB Maths: Analysis & Approaches: Exam Tips"> <meta name="twitter:description" content="Go from exam fail to exam ace. Improve your predicted grade from a 3 to a 7. Become an expert at IBDP mathematics. It would be nice if, by following a few tips on an 'exam tips' page, we could be all magically achieve that overnight. The truth..."> <meta name="twitter:image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta name="twitter:creator" content="@inthinker"><link rel="stylesheet" href="../../../css/snippets.min.css?v=202209111300"><link rel="stylesheet" href="../../../css/article.min.css?v=202211221000"><link rel="stylesheet" type="text/css" href="../../../js/slick-carousel/slick.min.css"><link rel="stylesheet" type="text/css" href="../../../js/slick-carousel/slick-theme.min.css"><link rel="stylesheet" type="text/css" href="../../../css/flashcards/flashcards.min.css?v=202211221000"><link rel="stylesheet" href="../../../css/flashcards/magic.min.css"><style type="text/css">.filter-sl-only { display: none; }</style><script src="../../../ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script><script src="../../../js/ifvisible.min.js"></script><script>ifvisible.setIdleDuration(300);</script><link rel="apple-touch-icon-precomposed" sizes="57x57" href="../../../img/favicon/apple-touch-icon-57x57.png"> <link rel="apple-touch-icon-precomposed" sizes="114x114" href="../../../img/favicon/apple-touch-icon-114x114.png"> <link rel="apple-touch-icon-precomposed" sizes="72x72" href="../../../img/favicon/apple-touch-icon-72x72.png"> <link rel="apple-touch-icon-precomposed" sizes="144x144" href="../../../img/favicon/apple-touch-icon-144x144.png"> <link rel="apple-touch-icon-precomposed" sizes="60x60" href="../../../img/favicon/apple-touch-icon-60x60.png"> <link rel="apple-touch-icon-precomposed" sizes="120x120" href="../../../img/favicon/apple-touch-icon-120x120.png"> <link rel="apple-touch-icon-precomposed" sizes="76x76" href="../../../img/favicon/apple-touch-icon-76x76.png"> <link rel="apple-touch-icon-precomposed" sizes="152x152" href="../../../img/favicon/apple-touch-icon-152x152.png"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-196x196.png" sizes="196x196"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-96x96.png" sizes="96x96"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-32x32.png" sizes="32x32"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-16x16.png" sizes="16x16"> <link rel="icon" type="image/png" href="../../../img/favicon/favicon-128.png" sizes="128x128"> <meta name="application-name" content="StudyIB: Your IB Learning Companion"> <meta name="msapplication-TileColor" content="#A5BED5"> <meta name="msapplication-TileImage" content="/img/favicon/mstile-144x144.png"> <meta name="msapplication-square70x70logo" content="/img/favicon/mstile-70x70.png"> <meta name="msapplication-square150x150logo" content="/img/favicon/mstile-150x150.png"> <meta name="msapplication-wide310x150logo" content="/img/favicon/mstile-310x150.png"> <meta name="msapplication-square310x310logo" content="/img/favicon/mstile-310x310.png"><script>var stdHash = "6da675cbcb3d25f050b05557349abc79", stdTicket = "082b9c9c4ae3624d";</script><script src="../../../js/user/local-stats.min.js?v=202205311700"></script><link href="../../../css/subjects-frontpage.min.css?v=202302031000" rel="stylesheet"></head><body class="public mathsanalysis"> <noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-PZBWZ8J" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript> <div id="top-header"> <div class="wmap general hidden-sm hidden-xs subjects"> <div class="layout-wrapper"> <div class="container-fluid"> <a href=""> <img class="header-thinker" src="../../../img/header-thinker.svg"> </a> <h1> <a href="../../../mathsanalysis.html"> <span style="font-family: 'Helvetica Narrow','Arial Narrow',Tahoma,Arial,Helvetica,sans-serif;font-stretch: condensed;letter-spacing: -1px">IBDP Maths: Analysis & Approaches</span> </a> <a href="https://inthinking.net" title="inthinking.net" class="inthinking-logo pull-right"> <img src="../../../img/header-logo.svg" style="height: 80px; width: auto;"> </a> </h1> <p class="slogan">InThinking Revision Sites for students</p> <p class="author">Website by <strong>Richard Wade</strong></p> <p class="updated">Updated 3 February 2023</p> </div> </div> </div> <nav id="public-topnav" class="navbar navbar-default"> <div class="container-fluid"> <div class="navbar-header"> <a class="navbar-brand hidden-md hidden-lg" href="../../../index.htm"> <img class="header-xs-thinker" src="../../../img/header-thinker.svg"> </a> <button type="button" class="collapsed navbar-toggle" data-toggle="collapse" data-target="#subject-navbar-collapse" aria-expanded="false"> <span class="sr-only">Toggle navigation</span> <i class="fa fa-fw fa-2x fa-user"></i> </button> <div class="brand hidden-lg hidden-md hidden-sm"> <a class="brand-xs" href="../../../mathsanalysis.html"> <strong class="title" style="white-space: nowrap;font-size: 18px;">Maths: A&A</strong> </a> </div> </div> <div class="collapse navbar-collapse" id="subject-navbar-collapse"> <ul class="nav navbar-bar navbar-userbox hidden-md hidden-lg"><li class="dropdown"><a href="#" class="dropdown-toggle" data-toggle="dropdown"><i class="fa fa-fw fa-lg fa-user-circle" style="margin-right: 5px;"></i><span style="font-size: 16px;"></span></a><ul class="dropdown-menu"><li class="dropdown-submenu"><a class="dropdown-toggle" href="#" data-toggle="dropdown"><i class="fa fa-fw fa-globe"></i> Subjects</a><ul class="dropdown-menu"><li></li><li class=""><a href="../../../biology.html">DP Biology</a></li><li class=""><a href="../../../chemistry.html">DP Chemistry</a></li><li class=""><a href="../../../englishalanglit.html">DP English A: Language & Literature</a></li><li class="active"><a href="../../../mathsanalysis.html"><i class="fa fa-caret-right"></i> DP Maths: Analysis & Approaches</a></li><li class=""><a href="../../../mathsapplications.html">DP Maths: Applications & Interpretations SL</a></li><li class=""><a href="../../../physics.html">DP Physics</a></li><li class=""><a href="../../../spanishb.html">DP Spanish B</a></li></ul></li><li class="menu-item"><a href="../../../user.html"><i class="fa fa-fw fa-dashboard"></i> Dashboard</a></li><li class="menu-item"><a href="../../../user/profile.html"><i class="fa fa-fw fa-cog"></i> My profile</a></li><li class="menu-item"><a href="../../../user/messages.html"><i class="fa fa-fw fa-envelope"></i> Messages</a></li><li class="menu-item hidden-md hidden-lg mt-xs-3"><a href="../../../index.htm?logout=1" class="btn btn-primary btn-xs-block"><i class="fa fa-fw fa-lg fa-power-off text-danger"></i>Log out</a></li></ul></li></ul> <ul class="nav navbar-bar"><li class=""><a class="home" href="../../../mathsanalysis.html"><i class="fa fa-fw fa-home"></i> Home</a></li><li class=""><a class="topics" href="#"><i class="fa fa-fw fa-th-large"></i> Topics</a></li><li class=""><a class="favorites" href="../../../mathsanalysis.html"><i class="fa fa-fw fa-star"></i> My favorites</a></li><li class=""><a class="qbank" href="../../test-your-knowledge.html"><i class="fa fa-fw fa-question"></i> Question bank</a></li><li class=""><a class="sitemap" href="../../sitemap.html"><i class="fa fa-fw fa-sitemap"></i> Sitemap</a></li><li class=""><a class="activity" href="../../../mathsanalysis.html"><i class="fa fa-fw fa-calendar-check-o"></i> My activity</a></li></ul> <ul class="nav navbar-bar navbar-right"> <li> <form class="navbar-form hidden-md hidden-lg" role="search" method="get" action="mathsanalysis/search"> <div class="input-group"> <input class="form-control nav-search" name="glob" type="search" placeholder="Search..."> <span class="input-group-btn"> <button type="submit" class="btn bg-blue"> <i class="fa fa-search"> </i> </button> </span> </div> </form> <a href="#" class="toggle-menu-search hidden-sm hidden-xs" data-toggle="dropdown"> <i class="fa fa-lg fa-search"></i> </a> </li></ul> </div> </div></nav><nav id="nav-menu-search" class="shadow-bottom hidden-sm hidden-xs" style="display: none;"> <div class="container-fluid"> <form class="" role="search" method="get" action="mathsanalysis/search"> <input class="form-control nav-search" name="glob" type="search" placeholder="Search Maths: A&A..."> <button class="btn btn-sm btn-primary" type="submit"> Search </button> </form> </div></nav><div class="modal fade" tabindex="-1" role="dialog" id="modal-mini-login"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-body"> <button aria-hidden="true" data-dismiss="modal" class="close hidden-xs login-button-close" type="button">×</button> <form method="post"> <div class="form-group"> <input name="user-email" class="form-control" type="text" placeholder="Email"> </div> <div class="form-group"> <input name="user-password" class="form-control" type="password" placeholder="Password"> <input name="user-fp" class="fp" value="d8c893da5db7501669ffeeac46273ba6" type="hidden"> </div> <div class="form-group"> <a href="../../../reset-password.html" class="reset-password" style="font-weight: normal;"> Forgot your password? </a> </div> <div class="form-group"> <button type="submit" name="submit-login" value="1" class="btn btn-primary btn-block text-center"> <i class="fa fa-user fa-fw"></i> Log in </button> </div> </form> </div> </div> </div></div></div><div class="modal fade" id="show-topics" tabindex="-1" role="dialog"><div id="dialog-topics" class="modal-dialog modal-dialog-topics"><div class="modal-content"><div class="modal-body modal-body-topics"><div id="new-frontpage-toplevels-topics" class="frontpage-box"><div class="row"><div class="col-md-4 col-sm-4"><div class="item"><a href="../3016/free-access-weekend.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Free Access Weekend</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/free.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../2696/start-here.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Start Here</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/start-here.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../2902/examination-questions.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Examination Questions</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/exam.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../2563/question-bank.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Question Bank</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/questionbank.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../537/algebra.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Algebra</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsanalysis/images/algebra.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../539/functions.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Functions</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsanalysis/images/function_s.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../540/geometry-trigonometry.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Geometry & Trigonometry</h3></div><div class="body"><div class="cropper" style="background-image: url('../../images/photo-by-a-href=httpsunsplash.com@pawel_czerwinskiutm_source=unsplash-utm_medium=referral-utm_content=creditcopytextpawel-czerwinskia-on-a-href=httpsunsplash.comutm_source=unsplash-utm_medium=referral-utm_co.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../549/stats-probability.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Stats & Probability</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsanalysis/images/probability.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="../550/calculus.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Calculus</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsanalysis/images/calculus1.jpg'); height: 10vw;"></div></div></a></div></div><div class="col-md-4 col-sm-4"><div class="item"><a href="exam-tips.html"><div class="header" style="height: 35px;"><h3 class="title special" style="margin-top: 0;">Exam Tips</h3></div><div class="body"><div class="cropper" style="background-image: url('/media/mathsanalysis/files/exam-tips/exam-tips.jpg'); height: 10vw;"></div></div></a></div></div></div></div></div></div></div></div><div class="container-fluid shadow-ith"><div class="row frontpage"> <div class="col-md-3" id="left-column"> <p class="visible-xs-block"></p><div class="dropdown user-menu hidden-xs" style="margin-bottom: 20px;"> <button type="button" class="btn btn-default dropdown-toggle" data-toggle="dropdown" style="border-radius: 0; padding: 6px 18px;"> <i class="fa fa-fw fa-user-circle"></i> <small><i class="fa fa-caret-down"></i></small> </button> <ul class="dropdown-menu"> <li class="dropdown-submenu"><a href="#"><i class="fa fa-fw fa-globe"></i> Subjects</a><ul id="user-subjects-menu" class="dropdown-menu"><li></li><li class=""><a href="../../../biology.html">DP Biology</a></li><li class=""><a href="../../../chemistry.html">DP Chemistry</a></li><li class=""><a href="../../../englishalanglit.html">DP English A: Language & Literature</a></li><li class="active"><a href="../../../mathsanalysis.html"><i class="fa fa-caret-right"></i> DP Maths: Analysis & Approaches</a></li><li class=""><a href="../../../mathsapplications.html">DP Maths: Applications & Interpretations SL</a></li><li class=""><a href="../../../physics.html">DP Physics</a></li><li class=""><a href="../../../spanishb.html">DP Spanish B</a></li></ul></li><li class="divider"></li><li><a href="../../../user.html"><i class="fa fa-fw fa-dashboard"></i> Dashboard</a></li><li><a href="../../../user/profile.html"><i class="fa fa-fw fa-cog"></i> My profile</a></li><li><a href="../../../user/messages.html"><i class="fa fa-fw fa-envelope"></i> Messages</a></li> <li class="divider"></li> <li> <a href="../../../index.htm?logout=1"> <i class="fa fa-fw fa-power-off"></i> Log out </a> </li> </ul></div> <div id="side-nav"><h4 class="side-nav-title dropdown"><a href="../../../mathsanalysis.html"> <i class="fa fa-home"></i> Home</a><div class="pull-right"><a class="sidenav-expand" title="Expand all" href="#"><i class="fa fa-plus-circle"></i></a> <a class="sidenav-compress" title="Compress all" href="#"><i class="fa fa-minus-circle"></i></a></div></h4><ul class="side-nav level-0"><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../3016/free-access-weekend.html">Free Access Weekend</a></label></li><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../2696/start-here.html">Start Here</a></label></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="../2902/examination-questions.html">Examination Questions</a></label><ul class="side-nav level-1"><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2904/algebra-examination-questions-hl.html">Algebra Examination Questions HL</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2906/functions-examination-questions-hl.html">Functions Examination Questions HL</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2908/geometry-and-trigonometry-examination-questions-hl.html">Geometry and Trigonometry Examination Questions HL</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2910/statistics-and-probability-examination-questions-hl.html">Statistics and Probability Examination Questions HL</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2912/calculus-examination-questions-hl.html">Calculus Examination Questions HL</a></label></li></ul></li><li class=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../2563/question-bank.html">Question Bank</a></label></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="../537/algebra.html">Algebra</a></label><ul class="side-nav level-1"><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../662/arithmetic-sequences.html">Arithmetic Sequences</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../661/geometric-sequences.html">Geometric Sequences</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../543/indices-and-logarithms.html">Indices and Logarithms</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../673/counting-principles.html">Counting Principles</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../1732/binomial-theorem-hl.html">Binomial Theorem HL</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../1733/deductive-proofs.html">Deductive Proofs</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../1734/proof-by-contradiction.html">Proof by Contradiction</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../664/proof-by-induction.html">Proof by Induction</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../547/complex-numbers-the-basics.html">Complex Numbers - The Basics</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../674/complex-numbers-de-moivres-theorem.html">Complex Numbers - de Moivre's Theorem</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../675/complex-numbers-roots-of-polynomials.html">Complex Numbers - Roots of Polynomials</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="../539/functions.html">Functions</a></label><ul class="side-nav level-1"><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../1913/equation-of-a-straight-line.html">Equation of a Straight Line</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../676/functions-the-basics.html">Functions - The Basics</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../679/quadratics.html">Quadratics</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../1758/rational-functions-hl.html">Rational Functions HL</a></label></li><li class=""><label style="padding-left: 14px"><a class="expander" href="#" style="font-size: .9em"><i class="fa fa-fw fa-caret-right"></i></a><a href="../875/transforming-functions-hl.html">Transforming Functions HL</a></label><ul class="side-nav level-2"><li class=""><label style="padding-left: 28px"><i class="fa fa-fw"></i><a href="../1803/horizontal-stretch.html">Horizontal Stretch</a></label></li><li class=""><label style="padding-left: 28px"><i class="fa fa-fw"></i><a href="../1805/absolute-functions.html">Absolute functions</a></label></li><li class=""><label style="padding-left: 28px"><i class="fa fa-fw"></i><a href="../1806/1-over-function.html">1 over function</a></label></li><li class=""><label style="padding-left: 28px"><i class="fa fa-fw"></i><a href="../1804/translations.html">Translations</a></label></li></ul></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../681/factor-and-remainder-theorem.html">Factor and Remainder Theorem</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../680/sums-and-products-of-roots.html">Sums and Products of Roots</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="../540/geometry-trigonometry.html">Geometry & Trigonometry</a></label><ul class="side-nav level-1"><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2797/3-dimensional-solids.html">3-Dimensional Solids</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2798/radians-arcs-and-sectors.html">Radians, Arcs and Sectors</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2820/right-angled-trigonometry.html">Right-angled Trigonometry</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../686/sine-and-cosine-rule.html">Sine and Cosine Rule</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../869/unit-circle-hl.html">Unit Circle HL</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2825/trigonometric-graphs.html">Trigonometric Graphs</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2789/pythagorean-identities-hl.html">Pythagorean Identities HL</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2795/compound-angle-formulae.html">Compound Angle Formulae</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2793/double-angle-formulae-hl.html">Double Angle Formulae HL</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../685/solving-trigonometric-equations.html">Solving Trigonometric Equations</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../652/scalar-product-and-angles-.html">Scalar Product and Angles </a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../651/equation-of-a-line.html">Equation of a Line</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../667/intersection-of-lines.html">Intersection of Lines</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../669/kinematics.html">Kinematics</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../668/vector-product.html">Vector Product</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../650/equations-of-planes.html">Equations of Planes</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../655/intersection-of-planes.html">Intersection of Planes</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../666/intersection-of-line-and-plane.html">Intersection of Line and Plane</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="../549/stats-probability.html">Stats & Probability</a></label><ul class="side-nav level-1"><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../687/representing-and-measuring-data.html">Representing and Measuring Data</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../1926/linear-correlation.html">Linear Correlation</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../919/probability-calculations.html">Probability Calculations</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../689/conditional-probability.html">Conditional Probability</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../690/discrete-random-variables.html">Discrete Random Variables</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../692/binomial-distribution.html">Binomial Distribution</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../691/continuous-random-variables.html">Continuous Random Variables</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../693/normal-distribution.html">Normal Distribution</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="../550/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="../2405/hl-mixed-differentiation.html">HL Mixed Differentiation</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../1165/mixed-integration.html">Mixed Integration</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../657/introducing-derivatives.html">Introducing Derivatives</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../658/graphs-and-derivatives.html">Graphs and Derivatives</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../742/chain-rule.html">Chain Rule</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../743/product-and-quotient-rule.html">Product and Quotient Rule</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../744/equation-of-tangent-and-normal.html">Equation of Tangent and Normal</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../695/optimisation.html">Optimisation</a></label></li><li class=""><label style="padding-left: 14px"><a class="expander" href="#" style="font-size: .9em"><i class="fa fa-fw fa-caret-right"></i></a><a href="../741/implicit-differentiation.html">Implicit Differentiation</a></label><ul class="side-nav level-2"><li class=""><label style="padding-left: 28px"><i class="fa fa-fw"></i><a href="../565/graphs-of-implicit-equations.html">Graphs of Implicit Equations</a></label></li></ul></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2872/related-rates-of-change.html">Related Rates of Change</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2829/lhopitals-rule.html">L'Hôpital's Rule</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../586/definite-integration.html">Definite Integration</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../730/area-between-graphs-hl.html">Area between Graphs HL</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../644/volume-of-revolution.html">Volume of Revolution</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../634/integration-by-substitution-hl.html">Integration by Substitution HL</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../635/integration-by-parts.html">Integration by Parts</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2107/differential-equations-separable-variables.html">Differential Equations - Separable Variables</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2109/differential-equations-integrating-factor.html">Differential Equations - Integrating Factor</a></label></li><li class=""><label style="padding-left: 14px"><i class="fa fa-fw"></i><a href="../2108/differential-equations-homogeneous.html">Differential Equations - Homogeneous</a></label></li></ul></li><li class="expanded parent selected"><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="exam-tips.html">Exam Tips</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"> Exam Tips <a href="#" class="mark-page-favorite pull-right" data-pid="857" title="Mark as favorite" onclick="return false;"><i class="fa fa-star-o"></i></a> </h1> <ol class="breadcrumb"> <li><a href="../../../mathsanalysis.html"><i class="fa fa-home"></i> Home</a><i class="fa fa-fw fa-chevron-right divider"></i></li><li><span class="gray">Exam Tips</span></li> </ol> <article id="main-article"> <p><img alt="" src="../../files/exam-tips/exam-tips.jpg" style="width: 150px; height: 150px; float: left;">Go from exam failure to exam ace. Improve your predicted grade from a 3 to a 7. Become an expert at IBDP mathematics. It would be nice if, by following a few tips on an 'exam tips' page, we could all magically achieve that overnight. The truth is that improvement in mathematics is gradual, it takes effort, good study skills and the right advice. However, there are a lot of little things that you can do in your preparation for an examination to ensure that you do the best you possibly can. Sports coaches often look at marginal gains that make tiny 1% improvements. This page aims to help you make those tiny improvements that could add up to something significant and ensure that you avoid a few errors of judgment that could lead to failure.</p> <hr class="hidden-separator"> <div class="panel panel-has-border panel-expandable panel-violet"> <div class="panel-heading"> <div> <hr class="hidden-separator"><p>Memorize key Facts</p></div> </div> <div class="panel-body"> <div> <h4>Trigonometry Exact Values</h4> <p>You definitely need to know these before paper 1.</p> <p><img alt="" src="../../files/exam-tips/exact-values.jpg" style="width: 600px; height: 256px;"></p> <hr> <h4>Graphs of Sine Cosine and Tangent Functions</h4> <p>Ensure that you know how to sketch these graphs so that you can work out the key properties of the functions</p> <p><img alt="" src="../../files/exam-tips/sinx.jpg" style="width: 400px; height: 230px;"></p> <p><img alt="" src="../../files/exam-tips/cosx.jpg" style="width: 400px; height: 231px;"></p> <p><img alt="" src="../../files/exam-tips/tanx.jpg" style="width: 400px; height: 231px;"></p> <p>Some students like to use the following diagram to remind them in which quadrants each of the trigonometric ratios is positive</p> <p><img alt="" src="../../files/exam-tips/cast.jpg" style="width: 150px; height: 151px;"></p> <hr> <h4>Chain Rule</h4> <p>You should know how to use the Chain Rule to differentiate a composite function, but you are sometimes required to know the general form when the question is given in function notation. This is not in the formula booklet</p> <p><span class="math-tex">\(h(x)=f[g(x)]\\ h'(x)=g'(x)f'[g(x)]\)</span></p> <p>This is useful for answering exam questions like the following</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="greenBg"> <p>Consider two functions <strong><em>f</em></strong> and <strong><em>g</em></strong> and their derivatives <strong><em>f'</em></strong> and <strong><em>g'</em></strong>. The following table shows the values for the two functions and their derivatives at x = -1, 0, 1</p> <table style="width: 400px;" cellspacing="0" cellpadding="1" border="1" align="center"> <thead> <tr> <th scope="row" style="text-align: center;"> </th> <th scope="col" style="text-align: center;">-1</th> <th scope="col" style="text-align: center;">0</th> <th scope="col" style="text-align: center;">1</th> </tr> </thead> <tbody> <tr> <th scope="row" style="text-align: center;"><strong><em>f(x)</em></strong></th> <td style="text-align: center;">-2</td> <td style="text-align: center;">1</td> <td style="text-align: center;">6</td> </tr> <tr> <th scope="row" style="text-align: center;"><strong><em>g(x)</em></strong></th> <td style="text-align: center;">3</td> <td style="text-align: center;">-1</td> <td style="text-align: center;">1.5</td> </tr> <tr> <th scope="row" style="text-align: center;"><strong><em>f'(x)</em></strong></th> <td style="text-align: center;">2</td> <td style="text-align: center;">3</td> <td style="text-align: center;">4</td> </tr> <tr> <th scope="row" style="text-align: center;"><strong><em>g'(x)</em></strong></th> <td style="text-align: center;">4</td> <td style="text-align: center;">-2</td> <td style="text-align: center;">3</td> </tr> </tbody> </table> <p><span class="math-tex">\(h(x) = f\circ g(x)\)</span></p> <p>Find <strong><em>h'(0)</em></strong></p> <hr> <p>Answer = -2</p> <p><strong>h'(x) </strong>=<strong> g'(x)f'(g(x))</strong></p> <p><strong>h'(0) </strong>=<strong> g'(0)f'(g(0))</strong></p> <p><strong>h'(0) </strong>=<strong> g'(0)f'(-1)</strong></p> <p><strong>h'(0) </strong>=<strong> -1<span class="math-tex">\(\times\)</span>2</strong></p> <p><strong>h'(0) </strong>=<strong> -2</strong></p> </div> <content> </content></section> <p>There are other formula that are derived from the Chain Rule. It helps your speed if you can memorize these</p> <div class="tib-flashcard"><a class="show-flashcards btn btn-success btn-xs-block btn-block " data-levels="1" data-mode="" data-topics="694" data-subject-id="11" data-n-flashcards="4" style="text-align:center">Show flashcards</a></div><hr> <p style="text-align: right;"> </p> <p>Need some practice in using these? Why not try a quiz from <a href="../742/chain-rule.html" target="_blank" title="Chain Rule">Chain Rule</a> page</p> <hr> <h4>Integration by Recognition</h4> <p>These integrals can all be found by integration by substitution, but if you can recognize them, you can save yourself a lot of time</p> <div class="tib-flashcard"><a class="show-flashcards btn btn-success btn-xs-block btn-block " data-levels="1" data-mode="" data-topics="840" data-subject-id="11" data-n-flashcards="6" style="text-align:center">Show flashcards</a></div><hr> <div class="filter-hl-only"> <h4><img class="sibico" src="../../../img/sibico/hl-blue.svg" style="height:1.25em;width: auto;vertical-align:text-bottom" title="HL"> Properties of Vector Product</h4> <p>There are several properties of the vector product that do not appear in the formula booklet</p> <div class="tib-flashcard"><a class="show-flashcards btn btn-success btn-xs-block btn-block " data-levels="3" data-mode="" data-topics="709" data-subject-id="11" data-n-flashcards="5" style="text-align:center">Show flashcards</a></div><hr> <h4><img class="sibico" src="../../../img/sibico/hl-blue.svg" style="height:1.25em;width: auto;vertical-align:text-bottom" title="HL"> Properties of Complex Numbers</h4> <p>There are several properties of complex numbers that do not appear in the formula booklet</p> <div class="tib-flashcard"><a class="show-flashcards btn btn-success btn-xs-block btn-block " data-levels="3" data-mode="" data-topics="738" data-subject-id="11" data-n-flashcards="9" style="text-align:center">Show flashcards</a></div><hr> </div> </div> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> <div class="panel panel-has-border panel-expandable panel-violet"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <hr class="hidden-separator"><p>Timing</p></div> </div> <div class="panel-body"> <div><img alt="" src="../../files/exam-tips/5minutes.jpg" style="float: right; width: 100px; height: 100px;">In the examinations, you are given 5 minutes reading time. Many students don't like, nor make good use of, this time. Quickly glancing at unfamiliar questions can cause panic. Don't forget that this 5 minutes is a bonus, so make the most of it! You are not allowed to write anything down during this time, but it is useful for helping you organise yourself, gather your thoughts and decide on a plan for the examination that follows. In your revision, you should practise papers under timed conditions and include this reading time to decide how best to use it. Here are some suggestions as to how you might use it</div> <ul> <li>Quickly glance through the paper and check that you there are not any missing questions or pages. This should also enable you to not miss out any questions and avoid that OMG, I didn't see that last page!</li> <li>Find some questions that you like the look of and start thinking about how you might start them.</li> <li>There will be some unfamiliar questions. Try not to panic. Once you have got warmed up, you will be in a better position to try them.</li> <li>Take a few deep breaths.</li> </ul> <hr> <p><img alt="" src="../../files/exam-tips/watching-time.jpg" style="float: right; width: 100px; height: 100px;">The examination is divided into two sections: section A (write on the paper), section B (write in the booklet). The marks available for the two sections are approximately equal, so you should divide your time equally between them. Many students spend too long on section A and run out of time on section B. The questions in section A gradually increase in difficulty and the last question in section A is for superhuman students who are aiming at a high grade 7. Do not spend too much time on this question and be prepared to leave it out (you can always come back to it at the end). Which would you rather do: the last question in section A worth 6-8 marks or the last question in section B worth 18-24 marks?</p> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> <div class="panel panel-has-border panel-expandable panel-violet"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <hr class="hidden-separator"><p>Command Terms</p></div> </div> <div class="panel-body"> <div> <h4>Show that vs Verify</h4> <p>The term <strong>show that </strong>comes up in long section B questions, it is there to help you. First of all, you know the answer that you are trying to attain and secondly, if you are unable to get the answer, you can carry on with the next part using the answer given in the question. In questions that require you to <strong>show that</strong> you must try to avoid working backwards from the answer.</p> <p>A question that asks you to <strong>verify </strong>requires only for you to provide evidence that validates a result, perhaps by substituting a value into a formula.</p> <p>Here are two examples that should help you to see what to do:</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="greenBg"> <h4>Example 1</h4> <p>Point A (-2 , k) lies on the line <strong>r</strong> = <span class="math-tex">\(\left( \begin{matrix} 1 \\ 2 \end{matrix} \right) +s\left( \begin{matrix} -1 \\ 3 \end{matrix} \right) \)</span></p> <p><strong>Show that </strong>k = 11</p> <hr> <p>Here you must avoid working backwards from the answer of 11 to <strong>verify</strong> that A lies on the line.</p> <p>Start with the idea that A lies on the line and find the value of <em>s</em></p> <p><span class="math-tex">\(\left( \begin{matrix} -2 \\ k \end{matrix} \right) =\left( \begin{matrix} 1 \\ 2 \end{matrix} \right) +s\left( \begin{matrix} -1 \\ 3 \end{matrix} \right) \)</span></p> <p>-2 = 1 - s</p> <p>s = 3</p> <p>Now find <strong><em>k</em></strong></p> <p>k = 2 + sx3</p> <p>k = 2 + 3x3</p> <p>k = 11</p> </div> <content> </content> <div class="greenBg"> <p>Example 2</p> <p>Let f(x) = ax² + 12x + c.</p> <p>A horizontal line intersects with the graph of <strong><em>f</em></strong> at x = -2 and x = 6.</p> <p>a) Find the equation of the axis of symmetry</p> <p>b) Hence, <strong>show that</strong> a = -3</p> <hr> <p>a) the axis of symmetry lies halfway in between x = -2 and x = 6</p> <p><span class="math-tex">\(\frac{-2+6}{2}=2\)</span></p> <p>axis of symmetry is x = 2</p> <p>b) We <strong>should not</strong> substitute the value of <em>a</em> into the function and <strong>verify</strong> that the line of symmetry is x = 2, we should start with the fact that we know that the axis of symmetry is x = 2 - the word <strong>hence </strong>helps us to see that this part follows on from what we know in part a).</p> <p>For the general quadratic function, f(x) = ax² + bx + c, the equation of the axis of symmetry is x = <span class="math-tex">\(\frac{-b}{2a}\)</span></p> <p>For our function, f(x) = ax² + 12x + c, the equation of the axis of symmetry is x = <span class="math-tex">\(\frac{-12}{2a}\)</span></p> <p><strong>Hence </strong><span class="math-tex">\(\frac{-12}{2a}=2\)</span></p> <p>-6 = 2a</p> <p>a = -3</p> </div> </section> <h4>Sketch vs Plot</h4> <p>In questions that ask you to <strong>sketch</strong>, you are not expected to draw an accurate plot of a graph using graph paper. You need to include key information: local maxima/minima, intercepts and equations of asymptotes.</p> <p>In questions asking you to <strong>plot</strong>, you are often required to mark the position of points on a diagram.</p> <p>Here is an example to show you what might be expected in a question asking you to <strong>sketch</strong> a graph of a function:</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="greenBg"> <p>Let f(x) = -(x - 2) + 3</p> <p>a) Write down the vertex of the graph of f</p> <p>b) Sketch the graph of the f for <span class="math-tex">\(-1\le x\le 5\)</span> on the grid below</p> <p><img alt="" src="../../files/exam-tips/sketch" style="width: 334px; height: 500px;"></p> <hr> <p>a) Vertex at (2 , 3)</p> <p>b) We could be expected to include the vertex, the y intercept and the end points of the function</p> <p><img alt="" src="../../files/exam-tips/sketch-answer.jpg" style="width: 334px; height: 508px;"></p> </div> <content> </content></section> <h4>Hence</h4> <p>The word <strong>hence </strong>is there to help you. You should be using something that you found in the previous part to help you find the answer to this question. If you ignore this, not only do you risk wasting time, but also marks, since using a different method may get you no marks!</p> <p>Here is an example:</p> <button class="btn btn-xs bg-turquoise showhider"><i class="fa fa-fw fa-plus"></i></button><section class="hiddenbox hidden"> <div class="greenBg"> <p>The first three terms of a geometric sequence are 4m + 5 , 10 , m - 1</p> <p>a) Write down an expression for the common ratio, r</p> <p>b) Hence, show that 4m² + m - 105 = 0</p> <hr> <p>a) Since this is a geometric sequence, the ratio can be found by dividing the 2nd term by the 1st term</p> <p><span class="math-tex">\(r = \frac{10}{4m+5}\)</span></p> <p>b) The <strong>hence </strong>tells us we need to use the result from part a).</p> <p>Let's use the same method. The ratio can be found from dividing the 3rd term by the 2nd term</p> <p><span class="math-tex">\(r = \frac{m-1}{10}\)</span></p> <p><strong>Hence</strong>, <span class="math-tex">\(\frac{10}{4m+5}=\frac{m-1}{10}\)</span></p> <p>100 = (4m+5)(m-1)</p> <p>100 = 4m² + m - 5</p> <p>0 = 4m² + m - 105</p> <p>This question also includes the command term <strong>show that</strong>. What we <strong>cannot</strong> do here is use the quadratic equation to find m (m =<span class="math-tex">\(\frac{-21}{4}\)</span> , m = 5) and substitute this into the expressions and <strong>verify </strong>that we have three terms of a geometric sequence.</p> </div> <content> </content></section> <h4>Hence or otherwise</h4> <p>This is very much like <strong>hence</strong>, but is meant more for guidance. The previous part of a question may guide you to use a particular method, this may be the quickest and most obvious method. However, you will not be penalised if you use an alternative method.</p> <h4>Write down</h4> <p>This means you probably won't have to do any working out (or not much at least). You should be able to complete this fairly quickly.</p> </div> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> <div class="panel panel-has-border panel-expandable panel-violet"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <hr class="hidden-separator"><p>Accuracy</p></div> </div> <div class="panel-body"> <div> <p>On paper two, you risk losing several marks if you do not round your answers appropriately. According to the reports by examiners, some students don't seem to know the difference between rounding to 3 decimal places and rounding to 3 significant figures. This is an easy one to get right!</p> <p>Here's a recap of significant figures if you need it:</p> <ul> <li>Significant figures are a way of rounding numbers that allow you to always be consistent in the accuracy of your answers.</li> <li>The first significant figure is the first non-zero digit.</li> <li>Start counting significant figures after this digit.</li> <li>Any zeros between non-zero digits are significant.</li> <li>Stop counting (for 3 sig figs) when you get to the third significant figure</li> <li>Decide to round up or down</li> </ul> <hr> <h4>Example 1</h4> <p>0.00305</p> <p>The 1<sup>st</sup> significant figure is 3</p> <p>The 2<sup>nd</sup> significant figure is 0 (the zero between 3 and 5 is SIGNIFICANT)</p> <p>The 3<sup>rd</sup> significant figure is 5</p> <h4>Example 2</h4> <p>Round the following numbers to 3 significant figures</p> <p>a) 82 761 <span class="math-tex">\(\approx \)</span> 82 800</p> <p>b) 0.001358 <span class="math-tex">\(\approx \)</span>0.00136</p> <p>c) 57.0098 <span class="math-tex">\(\approx \)</span> 57.0</p> <h4><img class="sibico" src="../../../img/sibico/quiz.svg" style="height:1.25em;width: auto;vertical-align:text-bottom" title="Quiz"> Ready for a quick Quiz?</h4> <br><a class="btn btn-primary btn-block text-center" data-toggle="modal" href="#92731539"><i class="fa fa-play"></i> START QUIZ!</a><div class="modal fade modal-slide-quiz" id="92731539"> <div class="modal-dialog" style="width: 95vw; max-width: 960px"> <div class="modal-content"> <div class="modal-header slide-quiz-title"> <h4 class="modal-title" style="width: 100%;"> Significant Figures <strong class="q-number pull-right"> <span class="counter">1</span>/<span class="total">1</span> </strong> </h4> </div> <div class="modal-body p-xs-3"> <div class="slide-quiz" data-stats="11-235-857" style="opacity: 0"> <div class="exercise shadow-bottom"><div class="q-question"><p>Round the following numbers to 3 significant figures</p></div><div class="q-answer"><p>5.11405 <span></span><span class="math-tex">\(\approx \)</span><span></span> <input type="text" style="height: auto;" data-c="5.11"> <span class="review"></span></p></div><div class="q-explanation"></div><div class="slide-q-actions"><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="exercise shadow-bottom"><div class="q-question"><p>Round the following numbers to 3 significant figures</p></div><div class="q-answer"><p>7074.75 <span></span><span class="math-tex">\(\approx \)</span><span></span> <input type="text" style="height: auto;" data-c="7070"> <span class="review"></span></p></div><div class="q-explanation"></div><div class="slide-q-actions"><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="exercise shadow-bottom"><div class="q-question"><p>Round the following numbers to 3 significant figures</p></div><div class="q-answer"><p>0.003056 <span></span><span class="math-tex">\(\approx \)</span><span></span> <input type="text" style="height: auto;" data-c="0.00306"> <span class="review"></span></p></div><div class="q-explanation"></div><div class="slide-q-actions"><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="exercise shadow-bottom"><div class="q-question"><p>Round the following numbers to 3 significant figures</p></div><div class="q-answer"><p>100059 <span></span><span class="math-tex">\(\approx \)</span><span></span> <input type="text" style="height: auto;" data-c="100000"> <span class="review"></span></p></div><div class="q-explanation"></div><div class="slide-q-actions"><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="exercise shadow-bottom"><div class="q-question"><p>Round the following numbers to 3 significant figures</p></div><div class="q-answer"><p>38999 <span></span><span class="math-tex">\(\approx \)</span><span></span> <input type="text" style="height: auto;" data-c="39000"> <span class="review"></span></p></div><div class="q-explanation"></div><div class="slide-q-actions"><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> </div> <div class="modal-footer slide-quiz-actions"> <div class=""> <div class="pull-left pull-xs-none mb-xs-3"> <button class="btn btn-default d-xs-none btn-prev"> <i class="fa fa-arrow-left"></i> Prev </button> </div> <div class="pull-right pull-xs-none"> <button class="btn btn-success btn-xs-block text-xs-center btn-results" style="display: none"> <i class="fa fa-bar-chart"></i> Check Results </button> <button class="btn btn-default d-xs-none btn-next"> Next <i class="fa fa-arrow-right"></i> </button> <button class="btn btn-default btn-xs-block text-xs-center btn-close" data-dismiss="modal" style="display: none"> Close </button> </div> </div> </div> </div> </div></div> </div> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> <div class="panel panel-has-border panel-expandable panel-violet"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <hr class="hidden-separator"><p>Graphical Calculator Skills</p></div> </div> <div class="panel-body"> <div> <ul> <li>Make sure that your calculator has the latest operating system/firmware and you know how to put it in examination mode (press to test). You should practise using it in this mode to avoid any surprises.</li> <li>Students often use an analytical method and waste time when they should use their calculators. Once an equation is set up, use your calculator to solve it.</li> <li>Several marks for a question suggests working out needs to be shown.</li> <li>Sketch the output of graphing screen to show key features which lead to answer. Don't forget to label axes.</li> <li>Round only at end of the question, that is, use more than 3 significant figures in calculations. Better still, know how to use calculator memory.</li> </ul> </div> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div> <div class="panel panel-has-border panel-expandable panel-violet"> <div class="panel-heading"><a class="expander pull-right" href="#"><span class="fa fa-plus"></span></a> <div> <hr class="hidden-separator"><p>Miscellaneous</p></div> </div> <div class="panel-body"> <div> <ul> <li><strong>Read the questions carefully</strong>. Underline key terms. This will slow you down and allow you to think and may give you a clue as to how to solve the problem.</li> <li><strong>Write down</strong> as much information as you can. In the question below, you are given credit for recognising that it is a question about binomial probabilities. Write down all your thinking!</li> </ul> <div class="greenBg"> <p><img alt="" src="../../files/exam-tips/read-question.jpg" style="width: 600px; height: 103px; float: right;"></p> </div> <ul> <li><strong>Draw diagrams and graphs</strong> to help you visualize the problem:</li> </ul> <div class="greenBg"> <p><img alt="" src="../../files/exam-tips/diagrams.jpg" style="width: 600px; height: 197px; float: right;"></p> </div> <ul> <li><img alt="" src="../../files/exam-tips/formula-booklet.png" style="float: right; width: 100px; height: 94px;">The <strong>formula booklet</strong> is your friend. Get to know it. Get your own copy and be familiar with the contents. Annotate it and don't waste any time learning any of the formula that are given in it.</li> <li><strong>Scrap for marks</strong>. If you cannot do part b, then maybe you can do part c. It is not necessarily more difficult. Make use of '<strong>show that</strong>' questions to carry on when you get stuck.</li> <li><strong>Check your answers</strong>. If you have time at the end of the exam go through the paper and check, check, check! Errors are often hard to find. Look for any results that seem strange.</li> <li><strong>Don't cross out </strong>any of your working out (unless you are replacing it with something else). You probably have some working or thinking that is correct and that you will be given credit for.</li> <li><img alt="" src="../../files/exam-tips/question-spotting.png" style="float: right; width: 100px; height: 100px;"><strong>Predict questions on paper 2</strong>. Straight after paper 1, get together with your friends and <strong>make a list of the topics</strong> that were on it. Any topics that were not covered in paper 1 are likely to be tested on paper 2. This will help you decide what to concentrate on the evening before paper 2. Remember, you are NOT ALLOWED to discuss the exam outside your school community.</li> <li>Try to get a good night's sleep before the exam. You need to be fresh and 1 more hour of sleep might be better than 1 more hour of revision.</li> </ul> </div> </div> <div class="panel-footer"> <div> <p>text</p> </div> </div> </div><hr class="thin"> <div id="modal-feedback" class="modal fade" tabindex="-1" role="dialog"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <h4 class="modal-title">Feedback</h4> <button type="button" class="close hidden-xs hidden-sm" data-dismiss="modal" aria-label="Close"> <span aria-hidden="true">×</span> </button> </div> <div class="modal-body"> <div class="errors"></div> <p><strong>Which of the following best describes your feedback?</strong></p> <form method="post" style="overflow: hidden"> <div class="form-group"> <div class="radio"><label style="color: #121212;"><input type="radio" name="feedback-type" value="Recommendation"> Recommend</label></div><div class="radio"><label style="color: #121212;"><input type="radio" name="feedback-type" value="Problem"> Report a problem</label></div><div class="radio"><label style="color: #121212;"><input type="radio" name="feedback-type" value="Improvement"> Suggest an improvement</label></div><div class="radio"><label style="color: #121212;"><input type="radio" name="feedback-type" value="Other"> Other</label></div> </div> <hr> <div class="row"> <div class="col-md-6"> <div class="form-group"> <label for="feedback-name">Name</label> <input type="text" class="form-control" name="feedback-name" placeholder="Name" value=" "> </div> </div> <div class="col-md-6"> <div class="form-group"> <label for="feedback-email">Email address</label> <input type="email" class="form-control" name="feedback-email" placeholder="Email" value="@airmail.cc"> </div> </div> </div> <div class="form-group"> <label for="feedback-comments">Comments</label> <textarea class="form-control" name="feedback-comments" style="resize: vertical;"></textarea> </div> <input type="hidden" name="feedback-ticket" value="082b9c9c4ae3624d"> <input type="hidden" name="feedback-url" value="https://studyib.net/mathsanalysis/page/857/exam-tips"> <input type="hidden" name="feedback-subject" value="11"> <input type="hidden" name="feedback-subject-name" value="Maths: Analysis & Approaches"> <div class="pull-left"> </div> </form> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary btn-xs-block feedback-submit mb-xs-3 pull-right"> <i class="fa fa-send"></i> Send </button> <button type="button" class="btn btn-default btn-xs-block m-xs-0 pull-left" data-dismiss="modal"> Close </button> </div> </div> </div></div> <div id="fc-viewer" class="modal fade modal-flashcard" tabindex="-1" role="dialog"><div class="modal-dialog" role="document"><div class="modal-content"><div class="modal-header" style="background-color: #fafafa;"><div class="row" style="width: 100%;"><div class="col-md-12 tags-heading"><div style="display: flex; justify-content: space-between; align-items: center;"><p id="fc-viewer-info" style="width: 80%;"></p><button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button></div></div></div></div><div id="flashcard-body" class="modal-body"><div class="row" style="margin: 0;"><div class="col-md-8 fc-viewer-main"><div class="fc-viewer-inner"><div id="fc-viewer-main-front"><div class="fc-viewer-content"></div><span class="mark-favorite" style="position: absolute; top: 10px; right: 10px; font-size: 22px;"><i class="fa fa-lg fa-star-o"></i></span><span id="issue-report" class="issue-report hidden-xs hidden-sm" title="Report a problem"><i class="fa fa-fw fa-lg fa-exclamation-circle" style="font-size: 1.5em;"></i> </span> </div><div id="fc-viewer-main-back" class="reverse-flashcard green-bg"><div class="fc-viewer-content"></div><span class="mark-favorite" style="position: absolute; top: 10px; right: 10px; font-size: 22px;"><i class="fa fa-lg fa-star-o"></i></span></div></div></div><div class="col-md-4 fc-viewer-controls"><div class="fc-viewer-controls-middle"> <div class="fc-viewer-controls-middle-inner fc-back"><div class="fc-viewer-controls-answers mt-xs-0 mx-xs-0"><button id="right-answer" class="btn btn-success text-center btn-block" title="Mark this flashcard as CORRECT"><i class="fa fa-check"></i> Correct</button><button id="wrong-answer" class="btn text-center bg-red btn-block" title="Mark this flashcard as INCORRECT"><i class="fa fa-remove"></i> Incorrect</button></div><table class="table stats"><tr><td>Times flipped</td><td id="fc-viewer-tflipped" class="text-right">0</td></tr><tr><td>Marked as <em>correct</em></td><td id="fc-viewer-right" class="text-right">0</td></tr><tr><td>Marked as <em>incorrect</em></td><td id="fc-viewer-wrong" class="text-right">0</td></tr></table><a href="#" class="btn btn-default btn-sm btn-block text-center reset-stats hidden-xs hidden-sm" title="Reset stats for this flashcard" style="margin: 10px 0;"><i class="fa fa-undo"></i> Reset</a> <div class="fc-notes-container hidden-xs hidden-sm"><textarea class="form-control notes fc-back card-notes" rows="4" placeholder="Write your own notes here..." style="resize: none;">
</textarea><a href="#" class="btn btn-default btn-sm btn-block text-center save-notes" title="Save personal notes for this flashcard" style="margin-bottom: 10px;"><i class="fa fa-pencil"></i> Save notes</a> </div><div class="fc-viewer-actions-sm hidden-md hidden-lg"><button type="button" class="btn btn-sm btn-xs-block reset-stats"><i class="fa fa-fw fa-undo"></i>Reset</button> <button type="button" class="btn btn-sm btn-xs-block" data-toggle="modal" data-target="#card-notes-sm-modal"><i class="fa fa-fw fa-pencil"></i>Notes</button><button type="button" class="btn btn-sm btn-xs-block" data-toggle="modal" data-target="#report-problem-sm-modal"><i class="fa fa-fw fa-exclamation-circle"></i>Report error</button></div> </div></div><div class="fc-viewer-controls-bottom hidden-xs hidden-sm"><div class="fc-move"> <button class="btn bg-turquoise text-center disabled" rel="prev" title="Previous flashcard"><i class="fa fa-fw fa-chevron-left"></i>Prev</button><button class="btn bg-turquoise text-center disabled" rel="next" title="Next flashcard">Next<i class="fa fa-fw fa-chevron-right"></i></button></div><div class="fc-actions"><button class="btn btn-default btn-block text-center shuffle"><i class="fa fa-random"></i> Shuffle</button><div class="fc-progress"><div class="progress"><div class="progress-bar"></div></div><div class="text-right"><span class="fc-viewer-results-counter"></span></div></div></div></div><div class="fc-close-sm hidden-md hidden-lg"><button id="fc-xs-close" type="button" class="btn btn-default btn-block text-center" data-dismiss="modal" aria-label="Close">Close</button> <hr class="thin"> <div class="fc-actions" style="width: 100%;"> <button class="btn btn-default btn-block text-center shuffle"> <i class="fa fa-random"></i> Shuffle </button><div class="fc-progress"><div class="progress"><div class="progress-bar"></div></div><div class="text-right"><span class="fc-viewer-results-counter hidden-md hidden-lg"></span></div></div> </div></div></div></div></div><div class="modal-footer"><div id="report-error-container" class="report-problem"><div class="row"><div class="col-md-8"><div class="msg"></div><div class="form-group"><label>Report a problem for flashcard <span class="fc-viewer-id"></span></label><textarea class="form-control issue-description" cols="4"></textarea></div><button type="button" class="btn btn-primary pull-right send-report disabled"><i class="fa fa-paper-plane"></i>Send</button><button id="close-send-report" type="button" class="btn btn-default" style="margin-left: 0;">Close</button></div></div></div></div></div></div></div><div id="card-notes-sm-modal" class="modal fade overlay-modal" tabindex="-1" role="dialog"><div class="modal-dialog modal-sm" role="document"><div class="modal-content"><div class="modal-header p-xs-3"><h4 class="modal-title text-center my-xs-2">Notes</h4></div><div class="modal-body p-xs-3"><textarea class="form-control notes fc-back card-notes p-xs-3" rows="8" style="resize: none;">
</textarea></div><div class="modal-footer p-xs-3"><button type="button" class="btn btn-sm btn-primary btn-xs-block save-notes"><i class="fa fa-fw fa-pencil"></i>Save</button><button type="button" class="btn btn-sm btn-default btn-xs-block mx-xs-0" data-dismiss="modal" aria-label="Close">Close</button></div></div></div></div><div id="report-problem-sm-modal" class="modal fade overlay-modal report-problem" tabindex="-1" role="dialog"><div class="modal-dialog modal-sm" role="document"><div class="modal-content"><div class="modal-header p-xs-3"><h4 class="modal-title text-center my-xs-2">Report a problem for flashcard <span class="fc-viewer-id"></span></h4></div><div class="modal-body p-xs-3"><div class="msg"></div><div class="form-group mb-xs-0"><textarea class="form-control issue-description p-xs-3" rows="8"></textarea></div></div><div class="modal-footer p-xs-3"><button type="button" class="btn btn-sm btn-primary text-center btn-xs-block mb-xs-3 disabled send-report"><i class="fa fa-fw fa-paper-plane"></i>Send</button><button type="button" class="btn btn-sm btn-default text-center btn-xs-block mx-xs-0" data-dismiss="modal" aria-label="Close">Close</button></div></div></div></div> <div id="fcgame-viewer" class="modal fade modal-flashcard" tabindex="-1" role="dialog"> <div class="modal-dialog modal-lg modal-dialog-fcgame" role="document"> <div class="modal-content mc-flashcard modal-content-fcgame"> <div class="modal-header" style="background-color: #fafafa;"> <div class="row text-center" style="width: 100%;"> <div class="col-md-12"> <div style="display: flex; justify-content: space-between; align-items: center;"> <div class="text-left"> Your time: <span class="chronometer c-mobile" id="chronometer">00:00:</span> <span class="chronometer msec c-mobile" id="chronometer-msec">000</span> <br> Your best time: <span class="chronometer c-mobile" id="best-record"></span> </div> <button type="button" class="close" data-dismiss="modal" aria-label="Close"> <span aria-hidden="true">×</span> </button> </div> </div> </div> </div> <div id="fcgame-body" class=" modal-body modal-body-fcgame"> <div class="row-fluid"> <div class="col-lg-12 col-md-12 col-sm-12 fc-content" id="fc-content" style="padding: 15px;"></div> </div> </div> <div id="end-game" style="display: none;"> <div class="col-lg-10 col-lg-offset-1 col-md-10 col-md-offset-1 col-sm-10 col-sm-offset-1 result shadow-bottom"> <div id="end-game-dismiss"></div> <div id="end-game-results"></div> <div id="show-percent" style="margin-bottom: 30px;font-size: 16px;"></div> </div> <div id="end-game-fc" class="col-lg-12"></div> </div> <div id="start-game" class="col-lg-12 col-md-12 col-sm-12 centered"> <div style="width: 200px;"> <button class="btn btn-success btn-xs-block" id="play-game" style="display: block; width: 100%; margin: 10px 0;">Start</button> <button class="btn btn-default btn-xs-block" id="cancel-game" style="display: block; width: 100%; margin: 10px 0;">Cancel</button> </div> </div> <div class="modal-footer"></div> </div> </div></div><div id="fcgame-modal-issue-report" class="modal fade" tabindex="-1" role="dialog"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title">Report error</h4> </div> <div class="modal-body"> <textarea id="issue-description-fcgame" class="form-control"></textarea> </div> <div class="modal-footer"> <button id="send-report-fcgame" type="button" class="btn btn-primary">Send Report</button> </div> </div> </div></div> </article> <hr class="hidden-md hidden-lg"> <div class="hidden-md hidden-lg mt-xs-3"> <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> <input type="hidden" id="user-id" value="38342"></div><input id="ticket" type="hidden" value="082b9c9c4ae3624d"><input id="tzoffset" type="hidden" value="new"><input id="fp" class="fp" type="hidden" value=""></div><div id="std-footer"> <div class="wmap"> <div class="layout-wrapper"> <p> <a href="https://www.inthinking.net"> © <span id="footer-year"></span> <em>InThinking</em> <script>document.getElementById("footer-year").innerHTML = new Date().getFullYear();</script> </a> | <a target="_self" href="../../../about.html"> About us </a> | <a target="_self" href="../../../terms-and-conditions.html"> Legal </a> | <a target="_self" href="../../../contact.html"> Contact </a> </p> <p> <a class="social" target="_blank" href="https://twitter.com/#!/inthinker"> <img src="../../../img/social/twitter-square.svg"> Twitter </a> <a class="social" target="_blank" href="https://www.facebook.com/inthinking.net"> <img src="../../../img/social/facebook-square.svg"> Facebook </a> <a class="social" target="_blank" href="https://www.linkedin.com/profile/view?id=139741989"> <img src="../../../img/social/linkedin-square.svg"> LinkedIn </a> </p> </div> </div></div><script src="../../../js/jquery-1.11.3.min.js"></script><script src="../../../js/bootstrap.min.js"></script><script src="../../../js/jquery-fancybox/jquery.fancybox.min.js"></script><script>var pageId = 857;</script><script type="text/javascript" src="../../../js/jqueryui/jquery-ui-custom.min.js"></script><script type="text/javascript" src="../../../js/jqueryui/jquery.ui.touch-punch.js"></script><script type="text/javascript" src="../../../js/std-quizzes-helpers.min.js?v=20220406"></script><script src="../../../ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script><script type="text/javascript" src="../../../js/slick-carousel/slick.min.js"></script><script type="text/javascript" src="../../../js/std-slide-quizzes.min.js?v=20220406"></script><script type="text/javascript" src="../../../js/jq-boxfit/jquery.boxfit.min.js"></script><script src="../../../ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script><script type="text/javascript" src="../../../js/flashcards/flashcards-utils.min.js?v=202211221200"></script><script type="text/javascript" src="../../../js/flashcards/std-flashcards.min.js?v=202211221000"></script><script type="text/javascript" src="../../../js/hammerjs/hammerjs.min-1.js?v=20220414"></script><script>var sAJAX='/pages/subjects/activity/user-stats-page.php?t=082b9c9c4ae3624d&p=857&s=11&x=10261';var sData='k4iA6GSB03BgPm1NaU7RPHpsE3KeSVBAEzP5PHpsE39FIxiA6GSB0bfjSYyBPm1Ff0ssWzp9Z0pDPFAF7YcHEKvr6GSDPmjn6GyDEzAFWGcrE0ij6GyDPmjn6GyDEzAF7bKFEYv86GB2Pm1FPFAF7YcrZxP5PBAhWGcrZVasWncRk0aj7LAh7YcHEKAhwd9b0xvBkYc8I0fj7VOFeC==';var loopSecs = 30;var minSecsLog = 60;var lsKey = '11-83608-857';</script><script src="../../../js/subjects/activity/user-stats-page.min.js?v=202205311700"></script><script src="../../../js/subjects/activity/my-favorites.min.js?v=20220610"></script><script src="../../../js/subjects/feedback.min.js?v=202211221000"></script><script>var sessionUpdateSecs = 300;</script><script type="text/javascript" src="../../../js/session-updater.js"></script><script>(function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){(i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o),m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m)})(window,document,'script','https://www.google-analytics.com/analytics.js','ga');ga('create', 'UA-98480796-4', 'auto');ga('send', 'pageview');</script><script src="../../../js/devicefp/devicefp.min.js"></script><script src="../../../js/jq-quickfit/jq-quickfit.min.js?v=20220201"></script><script src="../../../js/frontpage-subjects.min.js?v=202211161300"></script><script type="text/javascript" src="../../../js/studyib-jq.min.js?v=202211241300"></script><script type="text/javascript">$(document).ready(function(){ $('#trigger-modal-video-overview').click(function() { if( $('#modal-video-overview .modal-body iframe').attr('src').length == 0 ) { $('#modal-video-overview .modal-body iframe').attr('src', 'https://www.youtube.com/embed/hxxtdiLdTFk?rel=0'); } }); $('#modal-video-overview').on('hidden.bs.modal', function() { $('#modal-video-overview .modal-body iframe').attr('src', ''); }); });</script></body></html>