File "examination-questions.html"
Path: /StudyIB/mathsanalysis/page/2902/examination-questionshtml
File size: 42.55 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>Examination Questions</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: Examination Questions"> <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="These pages contain exam questions written in the style of the IBDP Analysis and Approaches examinations. The pages are organised in terms of the five topics: Algebra, Functions, Geometry and Trigonometry, Statistics and Probability and Calculus...."> <meta prefix="og: http://ogp.me/ns#" property="og:url" name="og:url" content="https://studyib.net/mathsanalysis/page/2902/examination-questions"> <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="These pages contain exam questions written in the style of the IBDP Analysis and Approaches examinations. The pages are organised in terms of the five topics: Algebra, Functions, Geometry and Trigonometry, Statistics and Probability and Calculus...."> <meta name="image" content="https://studyib.net/img/studyib-card-default.jpg"> <meta name="keywords" content="Past paper, Exam, Ibdp, IB, IBDP, InThinking, International Baccalaureate, Revision, Revision websites, Student Sites, Students, Learning, Guidance, Questions, Practice problems, Diagnose, Help, Notes"> <meta itemprop="name" content="StudyIB Maths: Analysis & Approaches: Examination Questions"> <meta itemprop="description" content="These pages contain exam questions written in the style of the IBDP Analysis and Approaches examinations. The pages are organised in terms of the five topics: Algebra, Functions, Geometry and Trigonometry, Statistics and Probability and Calculus...."> <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: Examination Questions"> <meta name="twitter:description" content="These pages contain exam questions written in the style of the IBDP Analysis and Approaches examinations. The pages are organised in terms of the five topics: Algebra, Functions, Geometry and Trigonometry, Statistics and Probability and Calculus...."> <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"><style type="text/css">.filter-sl-only { display: none; }</style><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="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="../857/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="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="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=""><label style="padding-left: 0px"><i class="fa fa-fw"></i><a href="../857/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"> Examination Questions <a href="#" class="mark-page-favorite pull-right" data-pid="2902" 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">Examination Questions</span></li> </ol> <article id="main-article"> <p><img alt="" src="../../images/exam.jpg" style="width: 200px; height: 133px; float: left;">These pages contain exam questions written in the style of the IBDP Analysis and Approaches examinations. The pages are organised in terms of the five topics:</p> <p>Algebra, Functions, Geometry and Trigonometry, Statistics and Probability and Calculus.</p> <p>Each of the questions is marked by difficulty level</p> <hr class="hidden-separator"> <p><img class="sibico" src="../../../img/sibico/hl-green.svg" style="height:1.25em;width: auto;vertical-align:text-bottom" title="HL easy"> <img class="sibico" src="../../../img/sibico/sl-green.svg" style="height:1.25em;width: auto;vertical-align:text-bottom" title="SL easy"> Easy</p> <p><img class="sibico" src="../../../img/sibico/hl-orange.svg" style="height:1.25em;width: auto;vertical-align:text-bottom" title="HL moderate"> <img class="sibico" src="../../../img/sibico/sl-orange.svg" style="height:1.25em;width: auto;vertical-align:text-bottom" title="SL moderate"> Medium</p> <p><img class="sibico" src="../../../img/sibico/hl-red.svg" style="height:1.25em;width: auto;vertical-align:text-bottom" title="HL difficult"> <img class="sibico" height="19" src="../../../img/sibico/sl-red.svg" style="vertical-align: text-bottom;" title="SL difficult" width="19"> Hard</p> <p>If you need some help getting started, there are hints and each question has a full solution with explanation</p> <p><span class="fa fa-support" style="color:rgb(0, 0, 0);"></span> hints</p> <p><span class="fa fa-pencil" style="color:rgb(0, 0, 0);"></span> solutions</p> <p>Don't forget to make good use of the formula booklet and your graphical calculator (when the question allows <img class="sibico" src="../../../img/sibico/calc.svg" style="height:1.25em;width: auto;vertical-align:text-bottom" title="Calculator">).</p> <p>For further revision, you should also consider the <a href="../2563/question-bank.html" title="Question Bank">Question Bank</a> where you can try shorter questions and get instant feedback. They are great for building confidence and fluency</p> <hr class="thin"><div class="row"><div class="col-md-12"><br><ul class="resources"><li class="resource-item"><div class="img-container"><img class="thumb thumb-cover" src="../../images/algebra-1.jpg"></div><div class="media-body"><h4 style="font-size: 19px;"><a class="text-normal" href="../2904/algebra-examination-questions-hl.html">Algebra Examination Questions HL</a></h4><p class="body">On this page you can find examination questions from the topic of algebra</p></div></li><li class="resource-item"><div class="img-container"><img class="thumb thumb-cover" src="../../images/function_s-1.jpg"></div><div class="media-body"><h4 style="font-size: 19px;"><a class="text-normal" href="../2906/functions-examination-questions-hl.html">Functions Examination Questions HL</a></h4><p class="body">On this page you can find examination questions from the topic of functions</p></div></li><li class="resource-item"><div class="img-container"><img class="thumb thumb-cover" src="../../images/trigonometry.jpg"></div><div class="media-body"><h4 style="font-size: 19px;"><a class="text-normal" href="../2908/geometry-and-trigonometry-examination-questions-hl.html">Geometry and Trigonometry Examination Questions HL</a></h4><p class="body">On this page you can find examination questions from the topic of geometry and trigonometry</p></div></li><li class="resource-item"><div class="img-container"><img class="thumb thumb-cover" src="../../images/probability-1.jpg"></div><div class="media-body"><h4 style="font-size: 19px;"><a class="text-normal" href="../2910/statistics-and-probability-examination-questions-hl.html">Statistics and Probability Examination Questions HL</a></h4><p class="body">On this page you can find examination questions from the topic of statistics and probability</p></div></li><li class="resource-item"><div class="img-container"><img class="thumb thumb-cover" src="../../images/calculus.jpg"></div><div class="media-body"><h4 style="font-size: 19px;"><a class="text-normal" href="../2912/calculus-examination-questions-hl.html">Calculus Examination Questions HL</a></h4><p class="body">On this page you can find examination questions from the topic of calculus</p></div></li></ul></div></div> <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/2902/examination-questions"> <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> </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 = 2902;</script><script>var sAJAX='/pages/subjects/activity/user-stats-page.php?t=082b9c9c4ae3624d&p=2902&s=11&x=27662';var sData='k4iA6GSB03BgPm14wUQ4IxiA6GSB0bfq7Y9FwFiA6GSBPFAF7YcHEKvrZ0fREzP5PgKN6GLjWncrZGv2PccLE0arZGv274PRPHpsE3KeSYcH74P5k4irWbpj6bOFwBR3aU7Ram9NId74axA3aD7Ram7N0zAF738jWYyDPmjWadESIxiRE0EBWVOFwBRy00rRPnLsSYK4ZGcR74P5EncR739RPHaL6nfhWGcjWFP5PFPRPHpsSYlFwFi7I3LsSYsD6GqsWVBDZ0a7IbpsE3K7IDPqOdi7I3KN6GLjWncrZGv2I0cLE0arZGv274iv';var loopSecs = 30;var minSecsLog = 60;var lsKey = '11-83608-2902';</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>