{"id":18356,"date":"2015-08-17T21:20:05","date_gmt":"2015-08-17T21:20:05","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=18356"},"modified":"2026-08-17T10:34:00","modified_gmt":"2026-08-17T15:34:00","slug":"act-math-practice-test","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/act-math-practice-test\/","title":{"rendered":"ACT<sup>\u00ae<\/sup> Math Practice Test"},"content":{"rendered":"<p>The Math section of the ACT<sup>\u00ae<\/sup> evaluates your knowledge of various math concepts, including algebra, geometry, functions, and statistics.<\/p>\n<div class=\"notice\" style=\"padding-bottom: 0px; font-size: 80%; margin-top: 2.5em;\">\nACT\u00ae is a registered trademark belonging to ACT Education Corp. (\u201cACT\u201d). ACT is not involved with or affiliated with Mometrix Media LLC, nor does ACT endorse or sponsor any of the products or services offered by Mometrix Media LLC.<br \/>\n&nbsp;\n<\/div>\n<p>&nbsp;<br \/>\nTo help you prepare for this section of the ACT, 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 ACT Math practice test!<\/p>\n<div class=\"buttonlinks\"><a href=\"https:\/\/www.mometrix.com\/university\/act\/?utm_source=academy&amp;utm_medium=button&amp;utm_campaign=academy-mu-ads&amp;utm_content=act-test\" class=\"class_names\" style=\"color:black;\" onclick=\"_paq.push(['trackEvent', 'Course Button', 'Course Click', 'ACT Course Click']);\">ACT Online Course<\/a><br \/>\n<a href=\"https:\/\/www.mometrix.com\/academy\/act-study-guide\/\" class=\"class_names\" style=\"color:black;\" onclick=\"_paq.push(['trackEvent', 'Academy Guide Button', 'Guide Click', 'ACT Academy Guide Click']);\">ACT Study Guide<\/a><br \/>\n<a href=\"https:\/\/www.flashcardsecrets.com\/act\/\" class=\"class_names\" style=\"color:black;\" onclick=\"_paq.push(['trackEvent', 'Flashcard Button', 'Flashcard Button Click', 'ACT Flashcard Click']);\">ACT Flashcards<\/a><\/div>\n<h2 class=\"pt-page\"><span id=\"What&#039;s_on_the_ACT_Math_Section\" class=\"m-toc-anchor\"><\/span>What&#8217;s on the ACT Math Section?<\/h2>\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/09\/ACT-Math-Outline.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-266977\" role=\"img\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/09\/ACT-Math-Test-Outline.svg\" alt=\"ACT Math Outline showing 45 questions in 50 minutes; topics include algebra, geometry, statistics, and probability, plus essential skills like rates, area, and averages.\" width=\"378\" height=\"411\" \/><\/a><\/p>\n<h2 class=\"pt-page\"><span id=\"ACT_Math_Practice_Questions\" class=\"m-toc-anchor\"><\/span>ACT Math 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\/ACT_Math\" 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=\"act-question-container\">\r\n    <p class=\"act-question-text\">1. Each base of a triangular prism has a base length of 9 cm and a height of 12 cm. The height of the prism is 15 cm. What is the volume of the prism?<\/p>\r\n    \r\n    <label class=\"act-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice6\" value=\"A\" class=\"act-choice-input\"> <span style=\"font-weight: 600;\">A.<\/span>&nbsp;652 cm<sup style=\"margin-top: 1em\">3<\/sup><\/label>\r\n    <label class=\"act-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice6\" value=\"B\" class=\"act-choice-input\"> <span style=\"font-weight: 600;\">B. <\/span>&nbsp;720 cm<sup style=\"margin-top: 1em\">3<\/sup><\/label>\r\n    <label class=\"act-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice6\" value=\"C\" class=\"act-choice-input\"> <span style=\"font-weight: 600;\">C. <\/span>&nbsp;792 cm<sup style=\"margin-top: 1em\">3<\/sup><\/label>\r\n    <label class=\"act-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice6\" value=\"D\" class=\"act-choice-input\"> <span style=\"font-weight: 600;\">D. <\/span>&nbsp;810 cm<sup style=\"margin-top: 1em\">3<\/sup><\/label>\r\n    <button class=\"act-submit-btn\" onclick=\"checkAnswer(6)\">Submit<\/button><br>\r\n    <div id=\"feedback6\" class=\"act-feedback-text\"><\/div>\r\n    <div id=\"explanation6\" class=\"act-explanation-text\">\r\nThe volume of a prism may be calculated using the formula \\(V=Bh\\), where \\(B\\) represents the area of the base and \\(h\\) represents the height of the prism.\r\n<br>\r\n<br>\r\nThe area of each triangular base is represented by \\(A=\\frac{1}{2}(9)(12)\\). So the area of each base is equal to 54 square centimeters.\r\n<br>\r\n<br>\r\nSubstituting 54 for the area of the base and 15 for the height of the prism gives \\(V=(54)(15)\\), or \\(V=810\\). Therefore, the volume of the prism is 810 cm<sup>3<\/sup>.\r\n\r\n<\/div>\r\n <div class=\"bugreport\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shr5gZ1gnO15kxPFw?prefill_Test=ACT%20Math&prefill_Question+Number=1&prefill_Which+Form=General-IQ-Feedback&prefill_UP-ID=General-IQ-Feedback%20-%20ACT%20Math%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=\"act-question-container\">\r\n    <p class=\"act-question-text\">2. Jeremy put a heavy chalk mark on the tire of his bicycle. His bike tire is 27 inches in diameter. When he rolled the bike, the chalk left marks on the sidewalk. Which expression can be used to best determine the distance, in inches, the bike rolled from the first mark to the fourth mark?<\/p>\r\n    \r\n    <label class=\"act-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice7\" value=\"A\" class=\"act-choice-input\"> <span style=\"font-weight: 600;\">A.<\/span>&nbsp;<span>\\(3(27\\pi)\\)<\/span><\/label>\r\n    <label class=\"act-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice7\" value=\"B\" class=\"act-choice-input\"> <span style=\"font-weight: 600;\">B. <\/span>&nbsp;<span>\\(4\\pi (27)\\)<\/span><\/label>\r\n    <label class=\"act-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice7\" value=\"C\" class=\"act-choice-input\"> <span style=\"font-weight: 600;\">C. <\/span>&nbsp;<span>\\((27\\div 3)\\pi \\)<\/span><\/label>\r\n    <label class=\"act-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice7\" value=\"D\" class=\"act-choice-input\"> <span style=\"font-weight: 600;\">D. <\/span>&nbsp;<span>\\((27\\div 4)\\pi \\)<\/span><\/label>\r\n    <button class=\"act-submit-btn\" onclick=\"checkAnswer(7)\">Submit<\/button><br>\r\n    <div id=\"feedback7\" class=\"act-feedback-text\"><\/div>\r\n    <div id=\"explanation7\" class=\"act-explanation-text\">\r\nThe distance given from the top to the bottom of the tire through the center is the diameter. Finding the distance the bike traveled in one complete roll of the tire is the same as finding the circumference.\r\n<br>\r\n<br>\r\nUsing the formula, \\(C=\\pi d\\), we multiply 27 by \\(\\pi\\), so \\(C=27\\pi\\).\r\n<br>\r\n<br>\r\nFrom the first mark to the fourth, the tire rolls three times. Then, you would multiply by 3, and the distance would be \\(3(27\\pi)\\).\r\n\r\n<\/div>\r\n <div class=\"bugreport\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shr5gZ1gnO15kxPFw?prefill_Test=ACT%20Math&prefill_Question+Number=2&prefill_Which+Form=General-IQ-Feedback&prefill_UP-ID=General-IQ-Feedback%20-%20ACT%20Math%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=\"act-question-container\">\r\n    <p class=\"act-question-text\">3. A regular deck of cards has 52 cards and four cards of each type. What is the probability of drawing three aces in a row?<\/p>\r\n    \r\n    <label class=\"act-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice8\" value=\"A\" class=\"act-choice-input\"> <span style=\"font-weight: 600;\">A.<\/span>&nbsp;1 in 52<\/label>\r\n    <label class=\"act-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice8\" value=\"B\" class=\"act-choice-input\"> <span style=\"font-weight: 600;\">B. <\/span>&nbsp;1 in 156<\/label>\r\n    <label class=\"act-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice8\" value=\"C\" class=\"act-choice-input\"> <span style=\"font-weight: 600;\">C. <\/span>&nbsp;1 in 5,525<\/label>\r\n    <label class=\"act-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice8\" value=\"D\" class=\"act-choice-input\"> <span style=\"font-weight: 600;\">D. <\/span>&nbsp;1 in 132,600<\/label>\r\n    <button class=\"act-submit-btn\" onclick=\"checkAnswer(8)\">Submit<\/button><br>\r\n    <div id=\"feedback8\" class=\"act-feedback-text\"><\/div>\r\n    <div id=\"explanation8\" class=\"act-explanation-text\">\r\nThe probability of getting three aces in a row is the product of the probabilities for each draw. For the first ace, that is 4 in 52 since there are 4 aces in a deck of 52 cards. For the second, it is 3 in 51, since 3 aces and 51 cards remain; and for the third, it is 2 in 50. So, the overall probability, \\(P\\), is:\r\n<br>\r\n<br>\r\n<p style=\"text-align: center; margin-bottom: 0.5em; line-height: 45px\">\\(P=\\dfrac{4}{52}\\times \\dfrac{3}{51}\\times \\dfrac{2}{50}=\\dfrac{24}{132{,}600}\\)\\(\\:=\\dfrac{1}{5{,}525}\\)<\/p>\r\n\r\n<\/div>\r\n <div class=\"bugreport\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shr5gZ1gnO15kxPFw?prefill_Test=ACT%20Math&prefill_Question+Number=3&prefill_Which+Form=General-IQ-Feedback&prefill_UP-ID=General-IQ-Feedback%20-%20ACT%20Math%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=\"ACTCourse\" class=\"pt-page\"><span id=\"ACT_Online_Prep_Course\" class=\"m-toc-anchor\"><\/span>ACT Online Prep Course<\/h2>\n<p>If you want to be fully prepared, Mometrix offers an <strong>online ACT 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 ACT course:<\/p>\n<div class=\"mocblurb\"><ul>\n  <li class=\"moclessons\"><span class=\"moc-feature-text\">80+ Review Lessons Covering Every Topic<\/span><\/li>\n  <li class=\"mocpqs\"><span class=\"moc-feature-text\">Over 1,150 ACT Practice Questions<\/span><\/li>\n  <li class=\"mocflash\"><span class=\"moc-feature-text\">350+ Digital Flashcards<\/span><\/li>\n  <li class=\"mocvideos\"><span class=\"moc-feature-text\">310+ 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 ACT online prep course to ensure every learner has what they need to prepare for the ACT exam.<\/p>\n<p>Click below to check it out!<\/p>\n<div style=\"text-align: center;\"><a href=\"https:\/\/www.mometrix.com\/university\/act\/?utm_source=academy&amp;utm_medium=button&amp;utm_campaign=academy-mu-ads&amp;utm_content=act\" class=\"class_names\" style=\"color:black;\" onclick=\"_paq.push(['trackEvent', 'Course Button', 'Course Click', 'ACT Course Click']);\"><button class=\"buttontranscript\">Start Your ACT Online Course<\/button><\/a><\/div>\n<h2 class=\"pt-page\"><span id=\"ACT_Math_Formulas\" class=\"m-toc-anchor\"><\/span>ACT Math Formulas<\/h2>\n<p>Though you are able to use a calculator during the test, you won&#8217;t be given a formula sheet to reference.<\/p>\n<p>To help you out, we&#8217;ve compiled all of the formulas you need to know into one free PDF, including area and volume formulas, algebraic expressions, metric conversions, and more!<\/p>\n<link href=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/font-awesome\/6.7.0\/css\/all.min.css\" rel=\"stylesheet\">\r\n<div class=\"multprint\">\r\n    <div class=\"pdf-item-large\">\r\n        <div class=\"image-container-large\">\r\n            <a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/08\/ACT-Math-Cram-Sheet.pdf\">\r\n                <img decoding=\"async\" class=\"aligncenter size-full\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/03\/ACT-Math-Sheet-Cover-Preview.webp\" alt=\"ACT Math Cram Sheet\" width=\"490.2\" height=\"750.88\" \/>\r\n            <\/a>\r\n            <button class=\"print-button-large\" aria-label=\"Print\" title=\"Print PDF\" onclick=\"printPDF('https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/08\/ACT-Math-Cram-Sheet.pdf')\">\r\n                <span class=\"fas fa-print\" aria-hidden=\"true\"><\/span>\r\n            <\/button>\r\n        <\/div>\r\n        <a class=\"pdfdownloadbutton\" href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2026\/08\/ACT-Math-Cram-Sheet.pdf\">\r\n            <img loading=\"lazy\" decoding=\"async\" class=\"pdfdownloadbutton-icon\" src=\"https:\/\/courses.mometrix.com\/wp-content\/uploads\/2024\/07\/download-icon.png\" alt=\"\" width=\"20\" height=\"20\" \/><span class=\"pdfdownloadbutton-label\" aria-hidden=\"true\">Download Cram Sheet<\/span>\r\n  <span class=\"sr-only\">Download ACT Math Cram Sheet PDF<\/span>\r\n        <\/a>\r\n    <\/div>\r\n<\/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;\">What math is on the ACT?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>There is a wide range of math concepts covered on the ACT, including algebra, geometry, and statistics.<\/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 many math questions are on the ACT?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The ACT contains 45 math 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 Math section of the ACT?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>The Math section is timed at 50 minutes.<\/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 on the ACT Math section?<\/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 Math section of the ACT. However, a score of at least 21 is generally recommended.<\/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\/act-test\/\">ACT Test &#8211; Home<\/a><\/p>\n<\/div>\n<p class=\"disclaimer\">ACT\u00ae is a registered trademark belonging to ACT Education Corp. (&#8220;ACT&#8221;). ACT is not involved with or affiliated with Mometrix Media LLC, nor does ACT endorse or sponsor any of the products or services offered by Mometrix Media LLC.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Math section of the ACT\u00ae evaluates your knowledge of various math concepts, including algebra, geometry, functions, and statistics. ACT\u00ae is a registered trademark belonging to ACT Education Corp. (\u201cACT\u201d). ACT is not involved with or affiliated with Mometrix Media LLC, nor does ACT endorse or sponsor any of the products or services offered by &#8230; <a title=\"ACT\u00ae Math Practice Test\" class=\"read-more\" href=\"https:\/\/www.mometrix.com\/academy\/act-math-practice-test\/\" aria-label=\"Read more about ACT\u00ae Math Practice Test\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":271795,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-18356","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-act-advertising-group","7":"page_category-act-pages","8":"page_category-contains-misc-pdf","9":"page_category-course-pages","10":"page_type-exam-overview","11":"page_domain-act"},"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO Pro 5.0.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"Take a free ACT Math practice test with realistic algebra, geometry, functions, and statistics questions. 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