{"id":18391,"date":"2015-08-18T23:56:32","date_gmt":"2015-08-18T23:56:32","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=18391"},"modified":"2026-07-21T11:19:50","modified_gmt":"2026-07-21T16:19:50","slug":"gre-quantitative-practice-test","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/gre-quantitative-practice-test\/","title":{"rendered":"GRE<sup>&reg;<\/sup> Quantitative Practice Test"},"content":{"rendered":"<p>The Quantitative Reasoning test on the GRE<sup>&reg;<\/sup> assesses your knowledge of basic arithmetic, algebra, geometry, and data analysis. To help you prepare for this section of the GRE, this page contains everything you need to know, including what topics are covered, how many questions there are, and how you can study effectively.<\/p>\n<p>Click \u201cStart Test\u201d above to take a free GRE Quantitative Reasoning practice test!<\/p>\n<div class=\"buttonlinks\">\n<a href=\"https:\/\/www.mometrix.com\/university\/gre\/\" class=\"class_names\" style=\"color:black;\" onclick=\"_paq.push(['trackEvent', 'Course Button', 'Course Click', 'GRE Course Click']);\">GRE Online Course<\/a><br \/>\n<a href=\"https:\/\/www.mometrix.com\/studyguides\/gre\/\" class=\"class_names\" style=\"color:black;\" onclick=\"_paq.push(['trackEvent', 'Guide Button', 'Guide Click', 'GRE Guide Click']);\">GRE Study Guide<\/a><br \/>\n<a href=\"https:\/\/www.flashcardsecrets.com\/gre\/\" class=\"class_names\" style=\"color:black;\" onclick=\"_paq.push(['trackEvent', 'Flashcard Button', 'Flashcard Button Click', 'GRE Flashcard Click']);\">GRE Flashcards<\/a>\n<\/div>\n<h2 class=\"pt-page\"><span id=\"What&#039;s_on_the_GRE_Quantitative_Reasoning_Test\" class=\"m-toc-anchor\"><\/span>What&#8217;s on the GRE Quantitative Reasoning Test?<\/h2>\n<table class=\"ATable\" style=\"margin: auto;box-shadow: 1.5px 1.5px 3px grey;width: 70%\">\n<thead>\n<tr>\n<th>Section<\/th>\n<th>Questions<\/th>\n<th>Time Limit<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Section 1<\/td>\n<td>12<\/td>\n<td>21 minutes<\/td>\n<\/tr>\n<tr>\n<td>Section 2<\/td>\n<td>15<\/td>\n<td>26 minutes<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<br \/>\nThere are three types of quantitative reasoning questions.<\/p>\n<ol>\n<li style=\"margin-bottom: 12px\"><strong>Quantitative Comparison: <\/strong>You must compare two given quantities and determine which quantity is greater (or if they are equal).<\/li>\n<li style=\"margin-bottom: 12px\"><strong>Multiple-Choice: <\/strong>You must choose one or more correct answers from a list of five answer choices.<\/li>\n<li><strong>Numeric Entry: <\/strong>You must enter your answer into a single box as a decimal or as an integer, or you must enter your answer as a fraction into two separate boxes.<\/li>\n<\/ol>\n<p>Click below to see all of the formulas you should know:<\/p>\n<div style=\"text-align: center; margin-bottom: 20px;\">\n  <button class=\"buttontranscript\" onclick=\"toggle('NewContents')\">GRE Formulas<\/button>\n<\/div>\n<div id=\"NewContents\" class=\"showanswer\" style=\"width: 80%; text-align: left; margin-top: 1em; margin-bottom: 2em;\">\n<p style=\"text-align: center;font-size: 110%\"><strong>GRE Formulas<\/strong><\/p>\n<ul>\n<li>Arithmetic and Number Properties<\/li>\n<li>Types of Numbers<\/li>\n<li>Order of Operations: PEMDAS<\/li>\n<li>Commutative, Associative, and Distributive Properties<\/li>\n<li>Prime Numbers<\/li>\n<li>Factorization<\/li>\n<li>Divisibility<\/li>\n<li>Absolute Values<\/li>\n<li>Fast Fractions<\/li>\n<li>Percentages<\/li>\n<li>Ratios<\/li>\n<li>Powers and Roots<\/li>\n<li>Exponents<\/li>\n<li>Roots<\/li>\n<li>Algebra<\/li>\n<li>Simplifying Expressions<\/li>\n<li>Factoring<\/li>\n<li>Solving Equations<\/li>\n<li>Geometry<\/li>\n<li>Angles<\/li>\n<li>Polygons<\/li>\n<li>Triangles<\/li>\n<li>Circles<\/li>\n<li>Squares<\/li>\n<li>Rectangles<\/li>\n<li>Trapezoids<\/li>\n<li>Quadrilaterals<\/li>\n<li>3-D Shapes<\/li>\n<li>Coordinate Geometry<\/li>\n<li>Lines<\/li>\n<li>The Distance Formula<\/li>\n<li>Quadratics<\/li>\n<li>Word Problems<\/li>\n<li>Distance, Rate, and Time<\/li>\n<li>Work Rate<\/li>\n<li>Sequences<\/li>\n<li>Interest<\/li>\n<li>Statistics<\/li>\n<li>Counting<\/li>\n<li>Probability<\/li>\n<\/ul>\n<\/div>\n<h2 class=\"pt-page\"><span id=\"GRE_Quantitative_Practice_Questions\" class=\"m-toc-anchor\"><\/span>GRE Quantitative Practice Questions<\/h2>\n<p>One of the best ways to test your knowledge is by taking a practice test. Evaluate your math skills by trying your hand at the three practice questions below!<\/p>\n<p>Answer each question and read through the answer explanation, whether you got the answer right or wrong. This will help you ensure you&#8217;ve got the topic mastered.<\/p>\n<p>Whether you struggled with these questions or aced them on your first try, be sure to take the <a class=\"ylist\" href=\"https:\/\/academy-pq.app.mometrix.com\/practicequestion\/products\/GRE_Quantitative\" target=\"_blank\">full practice test<\/a> to get a better idea of how prepared you really are!<\/p>\n<div style=\"margin-bottom: 1.5em; margin-top: 2em;\"><div class=\"gre-question-container\">\r\n    <p class=\"gre-question-text\">1. How many odd prime factors does 368 have?<\/p>\r\n    \r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice3\" value=\"A\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">A.<\/span>&nbsp;0<\/label>\r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice3\" value=\"B\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">B. <\/span>&nbsp;1<\/label>\r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice3\" value=\"C\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">C. <\/span>&nbsp;2<\/label>\r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice3\" value=\"D\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">D. <\/span>&nbsp;3<\/label>\r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice3\" value=\"E\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">E. <\/span>&nbsp;4<\/label>\r\n    <button class=\"gre-submit-btn\" onclick=\"checkAnswer(3)\">Submit<\/button><br>\r\n    <div id=\"feedback3\" class=\"gre-feedback-text\"><\/div>\r\n    <div id=\"explanation3\" class=\"gre-explanation-text\">\r\nEvery positive integer has a unique prime factorization. In other words, there exists exactly one set of prime numbers that multiply to make that integer. In this case:\r\n<br>\r\n<br>\r\n<p style=\"text-align: center\">\\(368=2\\times 2\\times 2\\times 2\\times 23\\)<\/p>\r\n\r\nThe number 23 is the only odd factor, so the correct answer is 1.\r\n\r\n<\/div>\r\n <div class=\"bugreport\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shr5gZ1gnO15kxPFw?prefill_Test=GRE%20Quantitative&prefill_Question+Number=1&prefill_Which+Form=General-IQ-Feedback&prefill_UP-ID=General-IQ-Feedback%20-%20GRE%20Quantitative%20-%201&hide_Test=true&hide_Which+Form=true&hide_UP-ID=true&hide_Question+Number=true\" target=\"_blank\" rel=\"noopener\">Let us know!<\/a><\/div>\r\n<\/div><\/div>\n<div style=\"margin-bottom: 1.5em;\"><div class=\"gre-question-container\">\r\n    <p class=\"gre-question-text\">2. Based on the rounded percentage data in the chart below, assuming a total of 125 students were polled, which of the following statements is definitely NOT true?<\/p>\r\n\r\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/07\/Understanding-Engineers-Graph.svg\" alt=\"Pie chart showing survey responses: 69% strongly agree, 27% agree, 2% neither agree nor disagree, and 2% strongly disagree on understanding how engineers use math and science.\" width=\"641\" height=\"477\" class=\"aligncenter size-full wp-image-302283\"  role=\"img\" style=\"margin-bottom: 1.2em; border: solid 1px gray\"\/>\r\n    \r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice4\" value=\"A\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">A.<\/span>&nbsp;The number of students who strongly disagreed was 3.<\/label>\r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice4\" value=\"B\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">B. <\/span>&nbsp;The number of students who neither agreed nor disagreed was 3.<\/label>\r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice4\" value=\"C\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">C. <\/span>&nbsp;The number of students who agreed was 34.<\/label>\r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice4\" value=\"D\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">D. <\/span>&nbsp;The number of students who strongly agreed was 86.<\/label>\r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice4\" value=\"E\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">E. <\/span>&nbsp;None of these<\/label>\r\n    <button class=\"gre-submit-btn\" onclick=\"checkAnswer(4)\">Submit<\/button><br>\r\n    <div id=\"feedback4\" class=\"gre-feedback-text\"><\/div>\r\n    <div id=\"explanation4\" class=\"gre-explanation-text\">\r\nFor each of the statements, calculate the exact percentage of the total that its category would be.\r\n<br>\r\n<br>\r\n\u201cStrongly disagree\u201d and \u201cneither agree nor disagree\u201d students would each be \\(\\frac{3}{125}=2.4\\%\\) of the total. \u201cAgree\u201d students would be \\(\\frac{34}{125}=27.2\\%\\). \u201cStrongly agree\u201d students would be \\(\\frac{86}{125}=68.8\\%\\).\r\n<br>\r\n<br>All these percentages round to the numbers shown in the chart, so none are definitely false.\r\n\r\n<\/div>\r\n <div class=\"bugreport\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shr5gZ1gnO15kxPFw?prefill_Test=GRE%20Quantitative&prefill_Question+Number=2&prefill_Which+Form=General-IQ-Feedback&prefill_UP-ID=General-IQ-Feedback%20-%20GRE%20Quantitative%20-%201&hide_Test=true&hide_Which+Form=true&hide_UP-ID=true&hide_Question+Number=true\" target=\"_blank\" rel=\"noopener\">Let us know!<\/a><\/div>\r\n<\/div><\/div>\n<div style=\"margin-bottom: 1.5em;\"><div class=\"gre-question-container\">\r\n    <p class=\"gre-question-text\">3. Octagon \\(ABCDEFGH\\) contains five squares (\\(S\\)) and four triangles (\\(T\\)). The length of side \\(AB\\) is 6. What is the sum of the areas of the five squares?<\/p>\r\n\r\n<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/07\/OCtagon-ABCDEFGH.svg\" alt=\"An octagon divided into nine sections: five labeled &#039;S&#039; in the middle and four labeled &#039;T&#039; at the corners, with vertices labeled A to H.\" width=\"344.8\" height=\"387.2\" class=\"aligncenter size-full wp-image-302286\"  role=\"img\" style=\"margin-bottom: 1em\"\/>\r\n    \r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice5\" value=\"A\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">A.<\/span>&nbsp;90<\/label>\r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice5\" value=\"B\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">B. <\/span>&nbsp;180<\/label>\r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice5\" value=\"C\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">C. <\/span>&nbsp;270<\/label>\r\n    <label class=\"gre-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice5\" value=\"D\" class=\"gre-choice-input\"> <span style=\"font-weight: 600;\">D. <\/span>&nbsp;360<\/label>\r\n    <button class=\"gre-submit-btn\" onclick=\"checkAnswer(5)\">Submit<\/button><br>\r\n    <div id=\"feedback5\" class=\"gre-feedback-text\"><\/div>\r\n    <div id=\"explanation5\" class=\"gre-explanation-text\">\r\nThe area of a single square is \\(A=s^2\\), where \\(s\\) is the length of one side of the square. In this case, the length of one side of a single square is 6. Therefore, the area of a single square is \\(6^2=36\\).\r\n<br>\r\n<br>\r\nThe sum of the areas of the five squares is \\(5A=(5)(36)=180\\).\r\n\r\n<\/div>\r\n <div class=\"bugreport\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shr5gZ1gnO15kxPFw?prefill_Test=GRE%20Quantitative&prefill_Question+Number=3&prefill_Which+Form=General-IQ-Feedback&prefill_UP-ID=General-IQ-Feedback%20-%20GRE%20Quantitative%20-%201&hide_Test=true&hide_Which+Form=true&hide_UP-ID=true&hide_Question+Number=true\" target=\"_blank\" rel=\"noopener\">Let us know!<\/a><\/div>\r\n<\/div><\/div>\n\n<h2 id=\"GRECourse\" class=\"pt-page\"><span id=\"GRE_Online_Prep_Course\" class=\"m-toc-anchor\"><\/span>GRE Online Prep Course<\/h2>\n<p>If you want to be fully prepared, Mometrix offers an <strong>online GRE prep course<\/strong> designed to give you everything you need to succeed!<\/p>\n<p>Here&#8217;s what you&#8217;ll find in the GRE course:<\/p>\n<div class=\"mocblurb\"><ul>\n  <li class=\"moclessons\"><span class=\"moc-feature-text\">70+ Review Lessons Covering Every Topic<\/span><\/li>\n  <li class=\"mocpqs\"><span class=\"moc-feature-text\">Over 600 GRE Practice Questions<\/span><\/li>\n  <li class=\"mocflash\"><span class=\"moc-feature-text\">300+ Digital Flashcards<\/span><\/li>\n  <li class=\"mocvideos\"><span class=\"moc-feature-text\">270+ Instructional Videos<\/span><\/li>\n  <li class=\"mocmoney\"><span class=\"moc-feature-text\">Money-back Guarantee<\/span><\/li>\n  <li class=\"mocmobile\"><span class=\"moc-feature-text\">Mobile Access<\/span><\/li>\n<\/ul><\/div>\n\n<p>Everyone learns differently, so we&#8217;ve tailored the GRE online prep course to ensure every learner has what they need to prepare for the GRE exam.<\/p>\n<p>Click below to check it out!<\/p>\n<div style=\"text-align: center\">\n<a href=\"https:\/\/www.mometrix.com\/university\/gre\/?utm_source=academy&amp;utm_medium=button&amp;utm_campaign=academy-mu-ads&amp;utm_content=gre-test\" class=\"class_names\" style=\"color:black;\" onclick=\"_paq.push(['trackEvent', 'Course Button', 'Course Click', 'GRE Course Click']);\"><button class=\"buttontranscript\">Start Your GRE Online Course<\/button><\/a><\/div>\n<h2 class=\"pt-page\"><span id=\"FAQs\" class=\"m-toc-anchor\"><\/span>FAQs<\/h2>\n<div class=\"faq-list\">\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How many questions are on the exam?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>There are 20 questions on each section of the GRE Quantitative Reasoning test, which means there is a total of 40 questions.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How long is the exam?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The Quantitative Reasoning test is timed at 35 minutes per section, giving you a total of 1 hour and 10 minutes to complete the test.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What is a passing score?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>There is no set passing score for the Quantitative Reasoning test.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n\n<p><div itemscope=\"\" itemprop=\"author\" itemtype=\"http:\/\/schema.org\/Person\" class=\"author-bio\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"image\" class=\"author-image\" height=\"127\" width=\"127\" alt=\"Headshot of Mometrix associate Peter Rench.\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/01\/Peter-Rench-scaled.webp\"><div class=\"author-text\"><p class=\"author-name\">By <span itemprop=\"name\">Peter Rench<\/span><\/p><div class=\"author-desc\"><p>Peter Rench joined Mometrix in 2009 and serves as Vice President of Product Development, responsible for overseeing all new product development and quality improvements. Mr. Rench, a National Merit Scholar, graduated magna cum laude with a Bachelor of Science in Mechanical Engineering and a minor in mathematics from Texas A&amp;M University.<\/p>\n<\/div><\/div><\/div><div itemscope=\"\" itemprop=\"editor\" itemtype=\"http:\/\/schema.org\/Person\" class=\"author-bio\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"image\" class=\"author-image\" height=\"127\" width=\"127\" alt=\"Aaron Lanni profile pic\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/image_2024-12-11_124906662.png\"><div class=\"author-text\"><p class=\"author-name\">Edited by <span itemprop=\"name\">Aaron Lanni<\/span><\/p><div class=\"author-desc\"><p>Aaron is the content manager and lead editor for Mometrix Academy. He regularly produces, updates, proofreads, and edits content to ensure it meets Mometrix\u2019s quality and accessibility standards.<\/p>\n<\/div><p class=\"alignright author-desc author-link\"><a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/editorial-guidelines\/\">Learn more about our editorial guidelines<\/a> \u2192<\/p><\/div><\/div><\/p>\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/gre-practice-test\/\">GRE Practice Test Home<\/a><\/p>\n<\/div>\n<p class=\"disclaimer\">GRE and Graduate Record Examinations are registered trademarks of Educational Testing Service, which is not affiliated with Mometrix Test Preparation and does not endorse this page.<\/p>\n<p><script>\nfunction toggle(id) {\n  var element = document.getElementById(id);\n  if (element.style.display === \"block\") {\n    element.style.display = \"none\";\n  } else {\n    element.style.display = \"block\";\n  }\n}\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Quantitative Reasoning test on the GRE&reg; assesses your knowledge of basic arithmetic, algebra, geometry, and data analysis. To help you prepare for this section of the GRE, this page contains everything you need to know, including what topics are covered, how many questions there are, and how you can study effectively. Click \u201cStart Test\u201d &#8230; <a title=\"GRE&reg; Quantitative Practice Test\" class=\"read-more\" href=\"https:\/\/www.mometrix.com\/academy\/gre-quantitative-practice-test\/\" aria-label=\"Read more about GRE&reg; Quantitative Practice Test\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":271966,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-18391","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-course-pages","7":"page_category-gre-pages","8":"page_type-exam-overview","9":"page_domain-gre"},"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO Pro 5.0.0.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"Get our GRE Quantitative Reasoning Practice Test questions. Learn more about the GRE test. 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