{"id":8618,"date":"2025-06-12T14:26:05","date_gmt":"2025-06-12T21:26:05","guid":{"rendered":"https:\/\/magoosh.com\/gre\/?p=8618"},"modified":"2024-03-26T09:10:47","modified_gmt":"2024-03-26T16:10:47","slug":"gre-math-practice-questions","status":"publish","type":"post","link":"https:\/\/magoosh.com\/gre\/gre-math-practice-questions\/","title":{"rendered":"15 GRE Math Practice Questions with Explanations"},"content":{"rendered":"<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-20174\" src=\"https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Math-Practice-Questions-v2.jpg\" alt=\"Magoosh GRE Math Practice Questions\" width=\"1200\" height=\"600\" srcset=\"https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Math-Practice-Questions-v2.jpg 1200w, https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Math-Practice-Questions-v2-300x150.jpg 300w, https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Math-Practice-Questions-v2-600x300.jpg 600w, https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Math-Practice-Questions-v2-768x384.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p>Our GRE math practice questions cover the same range of <a href=\"https:\/\/magoosh.com\/gre\/gre-math-review\/\">math topics<\/a> you&#8217;ll see on the actual exam, including arithmetic, algebra, geometry, and data interpretation. With so many areas to study, practice is the key to mastering the GRE Quant section.<\/p>\n<p>Don&#8217;t worry\u2014Magoosh is here to help! The GRE math practice questions in this post will help you identify which areas you need to work on and how well you&#8217;re prepared for the exam. Keep going for an in-depth look at 15 easy, medium, and hard GRE quantitative practice questions with answers and explanations.<\/p>\n<nav id=\"TOC\" role=\"doc-toc\">\n<p style=\"color: #4D2079; font-size:larger\"><strong>Table of Contents<\/strong><\/p>\n<ul>\n<li><a href=\"#what-to-expect\">GRE Math Practice Questions: What to Expect<\/a><\/li>\n<li><a href=\"#qc-questions\">GRE Quantitative Comparison Practice Questions<\/a><\/li>\n<li><a href=\"#mc\">GRE Multiple-Choice Practice Questions<\/a><\/li>\n<li><a href=\"#numeric\">GRE Numeric Entry Practice Questions<\/a><\/li>\n<li><a href=\"#multipleanswer\">GRE Multiple-Answer Practice Questions<\/a><\/li>\n<li><a href=\"#data\">GRE Data Interpretation Practice Questions<\/a><\/li>\n<li><a href=\"#takeaway\">GRE Math Practice Questions: An Important Takeaway<\/a><\/li>\n<li><a href=\"#more-help\">Need More Help?<\/a><\/li>\n<\/ul>\n<\/nav>\n<h2 style=\"color: #4d2079;\" id=\"what-to-expect\">GRE Math Practice Questions: What to Expect<\/h2>\n<p>For each of the five question types that you&#8217;ll see on the GRE Quant section, we&#8217;ve included easy, medium, and hard practice questions for you to try.<\/p>\n<p>What do those difficulty labels represent?  For every question in our product, Magoosh tracks how students perform on it so we can make sure each question is perfectly calibrated to mirror the real GRE!  Magoosh students as a whole\u2014who are already determined to do well and have usually put in some study time\u2014have the following average correct percentages for each difficulty: <\/p>\n<ul>\n<li>Easy:  ~70%<\/li>\n<li>Medium:  ~60%<\/li>\n<li>Hard:  ~50%<\/li>\n<\/ul>\n<p>Use the table below to jump to each practice question:<\/p>\n<table id=\"tablepress-75\" class=\"tablepress tablepress-id-75 tablepress-responsive\">\n<thead>\n<tr class=\"row-1 odd\">\n<th class=\"column-1\">Question Type<\/th>\n<th class=\"column-2\"><font color=\"#41A8D8\">Easy<\/font><\/th>\n<th class=\"column-3\"><font color=\"#D6A428\">Medium<\/font><\/th>\n<th class=\"column-4\"><font color=\"#C5168C\">Hard<\/font><\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-hover\">\n<tr class=\"row-2 even\">\n<td class=\"column-1\"><a href=\"#quantitative\">Quantitative Comparison<\/a><\/td>\n<td class=\"column-2\"><a href=\"#easyq1\">Question 1<\/a><\/td>\n<td class=\"column-3\"><a href=\"#mediumq1\">Question 2<\/a><\/td>\n<td class=\"column-4\"><a href=\"#hardq1\">Question 3<\/a><\/td>\n<\/tr>\n<tr class=\"row-3 odd\">\n<td class=\"column-1\"><a href=\"#mc\">Multiple-Choice<\/a><\/td>\n<td class=\"column-2\"><a href=\"#easyq2\">Question 4<\/a><\/td>\n<td class=\"column-3\"><a href=\"#mediumq2\">Question 5<\/a><\/td>\n<td class=\"column-4\"><a href=\"#hardq2\">Question 6<\/a><\/td>\n<\/tr>\n<tr class=\"row-4 even\">\n<td class=\"column-1\"><a href=\"#numeric\">Numeric Entry<\/a><\/td>\n<td class=\"column-2\"><a href=\"#easyq3\">Question 7<\/a><\/td>\n<td class=\"column-3\"><a href=\"#mediumq3\">Question 8<\/a><\/td>\n<td class=\"column-4\"><a href=\"#hardq3\">Question 9<\/a><\/td>\n<\/tr>\n<tr class=\"row-5 odd\">\n<td class=\"column-1\"><a href=\"#multipleanswer\">Multiple-Answer<\/a><\/td>\n<td class=\"column-2\"><a href=\"#easyq4\">Question 10<\/a><\/td>\n<td class=\"column-3\"><a href=\"#mediumq4\">Question 11<\/a><\/td>\n<td class=\"column-4\"><a href=\"#hardq4\">Question 12<\/a><\/td>\n<\/tr>\n<tr class=\"row-6 even\">\n<td class=\"column-1\"><a href=\"#data\">Data Interpretation<\/a><\/td>\n<td class=\"column-2\"><a href=\"#easyq5\">Question 13<\/a><\/td>\n<td class=\"column-3\"><a href=\"#mediumq5\">Question 14<\/a><\/td>\n<td class=\"column-4\"><a href=\"#hardq5\">Question 15<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><!-- #tablepress-75 from cache --> <\/p>\n<p><em>Note: We&#8217;ve provided various input fields for you to track your answers as you go and then check your work at the end.  However, please note that there&#8217;s no option to submit your answers from this page!<\/em><\/p>\n<blockquote style=\"border-left: 4px solid #4d2079; background: #F9FAFB; padding: 1em 1.2em; margin: 1em 0; border-radius: 6px; box-shadow: 0 1px 2px rgba(0,0,0,0.05);\">\n<p><span style=\"font-size: 1.5em;\">\ud83d\udca1<\/span>On the actual GRE, you&#8217;ll have access to a <a href=\"https:\/\/magoosh.com\/gre\/the-new-gre-calculator\/\">basic, on-screen calculator<\/a> during the Quant section.<\/p>\n<\/blockquote>\n<p><!-- =========  COLLAPSIBLE ANSWERS ========= --><\/p>\n<style>\/* Container *\/\n  .answer-section{\n    max-width:600px;\n    margin:2rem auto;\n  }\/* Each collapsible item *\/\n  .answer-item{\n    border:1px solid #fff;\n    border-radius:8px;\n    overflow:hidden;\n    background-color: #4D2079;\n  }\/* Question header *\/\n  .answer-item summary{\n    cursor:pointer;\n    padding:1rem 1.25rem;\n    color: #fff;\n    font-weight:600;\n    position:relative;\n    list-style:none;            \/* hides default arrow *\/\n  }\/* Custom arrow *\/\n  .answer-item summary::after{\n    content:\"\u25b8\";\n    position:absolute;\n    right:1.25rem;\n  }.answer-item[open] summary::after{\n    transform:rotate(90deg);\n  }\/* Response panel *\/\n  .answer-item .response{\n    padding:1rem 1.25rem 1.5rem;\n    background: #F9FAFB;\n  }\n<\/style>\n<h2 style=\"color: #4d2079;\" id=\"quantitative\">GRE Quantitative Comparison Practice Questions<\/h2>\n<p>Quantitative Comparison questions don&#8217;t ask you to solve problems. Instead, they ask you to compare two quantities. On the official GRE, these could be equations, variables, angle measurements, or other quantities. Then, you choose the answer that best describes how they are related.<\/p>\n<h3 style=\"color: #C5168C\" id=\"easyq1\">Question 1 &#8211; Easy<\/h3>\n<p>The revenue generated by Company X is divided between Doug and Moira in a 6 to 5 ratio respectively.<\/p>\n<table style=\"text-align:center;\">\n<tbody>\n<tr>\n<th width=\"50%\">Column A<\/th>\n<th>Column B<\/th>\n<\/tr>\n<tr>\n<td>Moira&#8217;s share when the revenue generated by Company X is $15,700<\/td>\n<td>$7,900<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><input id=\"Q1A\" name=\"choice-q1\" type=\"radio\" value=\"A\" \/><label for=\"Q1A\"> The quantity in Column A is greater<\/label><br \/>\n<input id=\"Q1B\" name=\"choice-q1\" type=\"radio\" value=\"B\" \/><label for=\"Q1B\"> The quantity in Column B is greater<\/label><br \/>\n<input id=\"Q1C\" name=\"choice-q1\" type=\"radio\" value=\"C\" \/><label for=\"Q1C\"> The two quantities are equal<\/label><br \/>\n<input id=\"Q1D\" name=\"choice-q1\" type=\"radio\" value=\"D\" \/><label for=\"Q1D\"> The relationship cannot be determined from the information given<\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: B. The quantity in Column B is greater<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/201\/a\/285133723\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h3 style=\"color: #C5168C\" id=\"mediumq1\">Question 2 &#8211; Medium<\/h3>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-18750\" src=\"https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Practice_Q2.png\" alt=\"GRE Math Practice Questions - Diagram for Question 2\" width=\"310\" height=\"203\" srcset=\"https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Practice_Q2.png 310w, https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Practice_Q2-300x196.png 300w\" sizes=\"(max-width: 310px) 100vw, 310px\" \/><\/p>\n<table style=\"text-align:center;\">\n<tbody>\n<tr>\n<th width=\"50%\">Column A<\/th>\n<th>Column B<\/th>\n<\/tr>\n<tr>\n<td>Length of arc <em>ABC<\/em><\/td>\n<td>6<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><input id=\"Q2A\" name=\"choice-q2\" type=\"radio\" value=\"A\" \/><label for=\"Q2A\"> The quantity in Column A is greater<\/label><br \/>\n<input id=\"Q2B\" name=\"choice-q2\" type=\"radio\" value=\"B\" \/><label for=\"Q2B\"> The quantity in Column B is greater<\/label><br \/>\n<input id=\"Q2C\" name=\"choice-q2\" type=\"radio\" value=\"C\" \/><label for=\"Q2C\"> The two quantities are equal<\/label><br \/>\n<input id=\"Q2D\" name=\"choice-q2\" type=\"radio\" value=\"D\" \/><label for=\"Q2D\"> The relationship cannot be determined from the information given<\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: A. The quantity in Column A is greater<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/1054\/a\/285134078\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h3 style=\"color: #C5168C\" id=\"hardq1\">Question 3 &#8211; Hard<\/h3>\n<ul>\n<li>The greatest prime factor of 144 is <em>x<\/em><\/li>\n<li>The greatest prime factor of 96 is <em>y<\/em><\/li>\n<\/ul>\n<table style=\"text-align:center;\">\n<tbody>\n<tr>\n<th width=\"50%\">Column A<\/th>\n<th>Column B<\/th>\n<\/tr>\n<tr>\n<td><em>x<\/em><\/td>\n<td><em>y<\/em><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><input id=\"Q3A\" name=\"choice-q3\" type=\"radio\" value=\"A\" \/><label for=\"Q3A\"> The quantity in Column A is greater<\/label><br \/>\n<input id=\"Q3B\" name=\"choice-q3\" type=\"radio\" value=\"B\" \/><label for=\"Q3B\"> The quantity in Column B is greater<\/label><br \/>\n<input id=\"Q3C\" name=\"choice-q3\" type=\"radio\" value=\"C\" \/><label for=\"Q3C\"> The two quantities are equal<\/label><br \/>\n<input id=\"Q3D\" name=\"choice-q3\" type=\"radio\" value=\"D\" \/><label for=\"Q3D\"> The relationship cannot be determined from the information given<\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: C. The two quantities are equal<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/209\/a\/285134193\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h2 style=\"color: #4d2079;\" id=\"mc\">GRE Multiple-Choice Practice Questions<\/h2>\n<p>For GRE multiple-choice questions, solve the problem and select the choice (one of five) that best answers it.<\/p>\n<h3 style=\"color: #C5168C\" id=\"easyq2\">Question 4 &#8211; Easy<\/h3>\n<p>The price of a pair of sneakers was $80 for the last six months of last year. On January first, the price increased 20%. After the price increase, an employee bought these sneakers with a 10% employee discount. What price did the employee pay?<\/p>\n<p><input id=\"Q4A\" name=\"choice-q4\" type=\"radio\" value=\"A\" \/><label for=\"Q4A\"> $70.40<\/label><br \/>\n<input id=\"Q4B\" name=\"choice-q4\" type=\"radio\" value=\"B\" \/><label for=\"Q4B\"> $82.00<\/label><br \/>\n<input id=\"Q4C\" name=\"choice-q4\" type=\"radio\" value=\"C\" \/><label for=\"Q4C\"> $83.33<\/label><br \/>\n<input id=\"Q4D\" name=\"choice-q4\" type=\"radio\" value=\"D\" \/><label for=\"Q4D\"> $86.40<\/label><br \/>\n<input id=\"Q4E\" name=\"choice-q4\" type=\"radio\" value=\"E\" \/><label for=\"Q4E\"> $88.00<\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: D. $86.40<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/2588\/a\/285134341\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h3 style=\"color: #C5168C\" id=\"mediumq2\">Question 5 &#8211; Medium<\/h3>\n<p>If 6<em>k<\/em><sup>2<\/sup> + <em>k<\/em> = 2 and <em>k<\/em> &gt; 0, then <em>k<\/em> must equal which of the following?<\/p>\n<p><input id=\"Q5A\" name=\"choice-q5\" type=\"radio\" value=\"A\" \/><label for=\"Q5A\"> \\(\\frac{1}{2}\\)<\/label><br \/>\n<input id=\"Q5B\" name=\"choice-q5\" type=\"radio\" value=\"B\" \/><label for=\"Q5B\"> 1<\/label><br \/>\n<input id=\"Q5C\" name=\"choice-q5\" type=\"radio\" value=\"C\" \/><label for=\"Q5C\"> \\(\\frac{3}{2}\\)<\/label><br \/>\n<input id=\"Q5D\" name=\"choice-q5\" type=\"radio\" value=\"D\" \/><label for=\"Q5D\"> 2<\/label><br \/>\n<input id=\"Q5E\" name=\"choice-q5\" type=\"radio\" value=\"E\" \/><label for=\"Q5E\"> 3<\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: A. \\(\\frac{1}{2}\\)<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/12633\/a\/285134457\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h3 style=\"color: #C5168C\" id=\"hardq2\">Question 6 &#8211; Hard<\/h3>\n<p>In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?<\/p>\n<p><input id=\"Q6A\" name=\"choice-q6\" type=\"radio\" value=\"A\" \/><label for=\"Q6A\"> 20<\/label><br \/>\n<input id=\"Q6B\" name=\"choice-q6\" type=\"radio\" value=\"B\" \/><label for=\"Q6B\"> 40<\/label><br \/>\n<input id=\"Q6C\" name=\"choice-q6\" type=\"radio\" value=\"C\" \/><label for=\"Q6C\"> 216<\/label><br \/>\n<input id=\"Q6D\" name=\"choice-q6\" type=\"radio\" value=\"D\" \/><label for=\"Q6D\"> 720<\/label><br \/>\n<input id=\"Q6E\" name=\"choice-q6\" type=\"radio\" value=\"E\" \/><label for=\"Q6E\"> 729<\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: A. 20<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/856\/a\/285134537\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h2 style=\"color: #4d2079;\" id=\"numeric\">GRE Numeric Entry Practice Questions<\/h2>\n<p>On GRE Numeric Entry questions, you type your answer into a box provided on screen.<\/p>\n<h3 style=\"color: #C5168C\" id=\"easyq3\">Question 7 &#8211; Easy<\/h3>\n<p>Dharik lives in a house on a straight street. For years, there have been 16 houses on his street to the right of his house and 17 houses on his street to the left of his house. Last year, 5 new houses were built on the same street even further to the left of those houses to the left of Dharik\u2019s house. If these are the only houses on this street, how many houses are on this street?<\/p>\n<p><label><input name=\"GRE Numeric Entry Question 1\" type=\"text\" \/><\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: 39<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/12666\/a\/285134621\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h3 style=\"color: #C5168C\" id=\"mediumq3\">Question 8 &#8211; Medium<\/h3>\n<p>If \\(\\bigg(\\dfrac{2^{-\\text{n}}}{3}\\bigg)\\bigg(\\dfrac{3^{-\\text{n}}}{2}\\bigg)=\\dfrac{1}{36}\\), what is the value of n?<\/p>\n<p><label><input name=\"GRE Numeric Entry Question 2\" type=\"text\" \/><\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: 1<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/2185\/a\/285134665\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h3 style=\"color: #C5168C\" id=\"hardq3\">Question 9 &#8211; Hard<\/h3>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-18752\" src=\"https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Practice_Q9.png\" alt=\"Diagram for Question 9\" width=\"355\" height=\"359\" srcset=\"https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Practice_Q9.png 355w, https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Practice_Q9-297x300.png 297w\" sizes=\"(max-width: 355px) 100vw, 355px\" \/><\/p>\n<p>In the diagram, point <em>D<\/em> is the center of the medium-sized circle that passes through <em>C<\/em> and <em>E<\/em>, and it is also the center of the largest circle that passes through <em>A<\/em> and <em>G<\/em>. Each of the diameters of the small circles with centers <em>B<\/em> and F equals the radius of the medium-sized circle with center <em>D<\/em>. The shaded area is what fraction of the largest circle?<\/p>\n<p><label><input name=\"GRE Numeric Entry Question 3\" type=\"text\" \/><\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: 5\/8<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/6019\/a\/285134734\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h2 style=\"color: #4d2079;\" id=\"multipleanswer\">GRE Multiple-Answer Practice Questions<\/h2>\n<p>If you encounter a question on GRE quantitative that appears to be multiple choice but does <em>not<\/em> specify that there is only one correct answer, you have found a multiple-answer question! Select <strong>all<\/strong> correct answer choices for this question type.<\/p>\n<h3 style=\"color: #C5168C\" id=\"easyq4\">Question 10 &#8211; Easy<\/h3>\n<p>In a population of chickens, the average (arithmetic mean) weight is 6.3 pounds, and the standard deviation is 1.2 pounds. Which of the following weights (in pounds) are within 1.5 units of standard deviation of the mean?<\/p>\n<p>Indicate <u>all<\/u> weights.<br \/>\n<label><input name=\"ma1\" type=\"checkbox\" value=\"Bike\" \/> 4.4<\/label><br \/>\n<label><input name=\"ma1\" type=\"checkbox\" value=\"Bike\" \/> 4.6<\/label><br \/>\n<label><input name=\"ma1\" type=\"checkbox\" value=\"Bike\" \/> 5.1<\/label><br \/>\n<label><input name=\"ma1\" type=\"checkbox\" value=\"Bike\" \/> 5.2<\/label><br \/>\n<label><input name=\"ma1\" type=\"checkbox\" value=\"Bike\" \/> 6.9<\/label><br \/>\n<label><input name=\"ma1\" type=\"checkbox\" value=\"Bike\" \/> 7.6<\/label><br \/>\n<label><input name=\"ma1\" type=\"checkbox\" value=\"Bike\" \/> 7.7<\/label><br \/>\n<label><input name=\"ma1\" type=\"checkbox\" value=\"Bike\" \/> 8.2<\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: B. 4.6 through G. 7.7 are all correct<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/2215\/a\/285134788\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h3 style=\"color: #C5168C\" id=\"mediumq4\">Question 11 &#8211; Medium<\/h3>\n<p>If x &gt; 0 which of the following expressions are equal to 3.6% of \\(\\frac{5x}{12}\\)?<\/p>\n<p>Indicate <u>all<\/u> such expressions.<br \/>\n<label><input name=\"ma2\" type=\"checkbox\" value=\"Bike\" \/> 3 percent of 20x<\/label><br \/>\n<label><input name=\"ma2\" type=\"checkbox\" value=\"Bike\" \/> x percent of \\(\\frac{3}{2}\\)<\/label><br \/>\n<label><input name=\"ma2\" type=\"checkbox\" value=\"Bike\" \/> 3x percent of 0.2<\/label><br \/>\n<label><input name=\"ma2\" type=\"checkbox\" value=\"Bike\" \/> 0.05 percent of 3x<\/label><br \/>\n<label><input name=\"ma2\" type=\"checkbox\" value=\"Bike\" \/> \\(\\frac{3x}{200}\\)<\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: B. x percent of \\(\\frac{3}{2}\\), and E. \\(\\frac{3x}{200}\\)<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/2212\/a\/285134857\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h3 style=\"color: #C5168C\" id=\"hardq4\">Question 12 &#8211; Hard<\/h3>\n<p>A popular website requires users to create a password consisting of digits only. If no digit may be repeated and each password must be at least 9 digits long, how many passwords are possible?<\/p>\n<p><label><input name=\"ma3\" type=\"checkbox\" value=\"Bike\" \/> 9! + 10!<\/label><br \/>\n<label><input name=\"ma3\" type=\"checkbox\" value=\"Bike\" \/> 2 \u00d7 10!<\/label><br \/>\n<label><input name=\"ma3\" type=\"checkbox\" value=\"Bike\" \/> 9! \u00d7 10!<\/label><br \/>\n<label><input name=\"ma3\" type=\"checkbox\" value=\"Bike\" \/> 19!<\/label><br \/>\n<label><input name=\"ma3\" type=\"checkbox\" value=\"Bike\" \/> 20!<\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: B. 2 \u00d7 10!<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/849\/a\/285134917\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h2 style=\"color: #4d2079;\" id=\"data\">GRE Data Interpretation Practice Questions<\/h2>\n<p>GRE Data Interpretation questions ask you to look at graphics (primarily charts, graphs, and tables) and solve questions based on those.<\/p>\n<h3 style=\"color: #C5168C\" id=\"easyq5\">Question 13 &#8211; Easy<\/h3>\n<p><center><strong>ANIMAL DISTRIBUTION IN THE ZOO<\/strong><\/center><\/p>\n<table id=\"tablepress-76\" class=\"tablepress tablepress-id-76 tablepress-responsive\">\n<thead>\n<tr class=\"row-1 odd\">\n<th class=\"column-1\"><strong>Animal<\/strong><\/th>\n<th class=\"column-2\"><strong>Percent<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"row-2 even\">\n<td class=\"column-1\">Lions<\/td>\n<td class=\"column-2\">32%<\/td>\n<\/tr>\n<tr class=\"row-3 odd\">\n<td class=\"column-1\">Leopards<\/td>\n<td class=\"column-2\">16%<\/td>\n<\/tr>\n<tr class=\"row-4 even\">\n<td class=\"column-1\">Ocelots<\/td>\n<td class=\"column-2\">20%<\/td>\n<\/tr>\n<tr class=\"row-5 odd\">\n<td class=\"column-1\">Tigers<\/td>\n<td class=\"column-2\">8%<\/td>\n<\/tr>\n<tr class=\"row-6 even\">\n<td class=\"column-1\">Bobcats<\/td>\n<td class=\"column-2\">24%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><!-- #tablepress-76 from cache --><br \/>\nIf there are 44 leopards at the zoo, what is the zoo\u2019s total animal population?<\/p>\n<p><input id=\"Q7A\" name=\"choice-q7\" type=\"radio\" value=\"A\" \/><label for=\"Q7A\"> 225<\/label><br \/>\n<input id=\"Q7B\" name=\"choice-q7\" type=\"radio\" value=\"B\" \/><label for=\"Q7B\"> 275<\/label><br \/>\n<input id=\"Q7C\" name=\"choice-q7\" type=\"radio\" value=\"C\" \/><label for=\"Q7C\"> 325<\/label><br \/>\n<input id=\"Q7D\" name=\"choice-q7\" type=\"radio\" value=\"D\" \/><label for=\"Q7D\"> 350<\/label><br \/>\n<input id=\"Q7E\" name=\"choice-q7\" type=\"radio\" value=\"E\" \/><label for=\"Q7E\"> 375<\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: B. 275<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/2240\/a\/285134959\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h3 style=\"color: #C5168C\" id=\"mediumq5\">Question 14 &#8211; Medium<\/h3>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-18753\" src=\"https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Practice_Q14.png\" alt=\"Diagram for Question 14\" width=\"894\" height=\"567\" srcset=\"https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Practice_Q14.png 894w, https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Practice_Q14-300x190.png 300w, https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Practice_Q14-768x487.png 768w, https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Practice_Q14-600x381.png 600w\" sizes=\"(max-width: 894px) 100vw, 894px\" \/><\/p>\n<p>In the diagram above, each of fifteen private colleges is represented by a dot and an X on a vertical line. The X indicates the college&#8217;s annual income from <strong>tuition<\/strong> in 2008. The dot, above or below on the same dashed vertical line, indicates the college&#8217;s annual income in 2008 from <strong>investments<\/strong> such as endowments. The base of the vertical dashed line indicates the number of students at that college in 2008.<\/p>\n<p>For how many colleges shown is the investment income in 2008 more than double the same college&#8217;s tuition income in 2008?<\/p>\n<p><input id=\"Q8A\" name=\"choice-q8\" type=\"radio\" value=\"A\" \/><label for=\"Q8A\"> none<\/label><br \/>\n<input id=\"Q8B\" name=\"choice-q8\" type=\"radio\" value=\"B\" \/><label for=\"Q8B\"> one<\/label><br \/>\n<input id=\"Q8C\" name=\"choice-q8\" type=\"radio\" value=\"C\" \/><label for=\"Q8C\"> two<\/label><br \/>\n<input id=\"Q8D\" name=\"choice-q8\" type=\"radio\" value=\"D\" \/><label for=\"Q8D\"> three<\/label><br \/>\n<input id=\"Q8E\" name=\"choice-q8\" type=\"radio\" value=\"E\" \/><label for=\"Q8E\"> four<\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: B. one<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/12619\/a\/285134998\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<h3 style=\"color: #C5168C\" id=\"hardq5\">Question 15 &#8211; Hard<\/h3>\n<p>The following chart shows the population of Jenkinsville and the number of televisions in the town through the middle of part of the 20th century.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-18754\" src=\"https:\/\/magoosh.com\/gre\/files\/2019\/05\/GRE_Practice_Question15.png\" alt=\"Table for Question 15\" width=\"437\" height=\"283\" \/><\/p>\n<p>The ratio of people to televisions in Jenkinsville decreased by approximately what percent from 1955 to 1960?<\/p>\n<p>Give your answer to the nearest integer percent and do not enter the percent sign.<\/p>\n<p><label><input name=\"GRE Numeric Entry Question 4\" type=\"text\" \/><\/label><\/p>\n<section class=\"answer-section\">\n<details class=\"answer-item\">\n<summary>Click to reveal the answer<\/summary>\n<div class=\"response\">\nAnswer: 33<\/p>\n<p><a href=\"https:\/\/gre.magoosh.com\/questions\/12609\/a\/285135047\" target=\"_blank\" rel=\"noopener noreferrer\">View the text and video explanation here!<\/a>\n<\/div>\n<\/details>\n<\/section>\n<blockquote style=\"border-left: 4px solid #4d2079; background: #F9FAFB; padding: 1em 1.2em; margin: 1em 0; border-radius: 6px; box-shadow: 0 1px 2px rgba(0,0,0,0.05);\">\n<p><span style=\"font-size: 1.5em;\">\ud83c\udf89 <\/span>Congratulations on finishing all these GRE math practice questions!  If you&#8217;d like to try your hand at another practice set\u2014and get an estimated score!\u2014check out our <a href=\"https:\/\/magoosh.com\/gre\/gre-diagnostic-quizzes\/\" target=\"_blank\" rel=\"noopener\"><strong>GRE Diagnostic Quiz<\/strong><\/a>.<\/p>\n<\/blockquote>\n<h2 style=\"color: #4d2079;\" id=\"takeaway\">GRE Math Practice Questions: An Important Takeaway<\/h2>\n<p>How did your mini-GRE math practice test go? If you missed some (or even all) of the GRE math sample questions, don&#8217;t despair! You can still get the GRE score you want\u2014and get into the graduate schools of your choice, with one big caveat&#8230;<\/p>\n<p><strong>When practicing GRE math problems, the key is to figure out why you answered questions incorrectly.<\/strong> Are you having trouble with the <a href=\"https:\/\/magoosh.com\/gre\/gre-math-challenge-numeric-entry\/\">Numeric Entry<\/a> question type? Are questions about <a href=\"https:\/\/magoosh.com\/gre\/navigating-geometry-for-gre\/\">geometry<\/a> giving you the most issues?\u00a0 For a lot of students, it&#8217;s <a href=\"https:\/\/magoosh.com\/gre\/about-gre-quantitative-comparison-question\/\">Quantitative Comparisons<\/a> that prove tricky.<\/p>\n<p>At first, this process can be frustrating. But, remember, by forcing yourself to figure out the answer instead of immediately turning to an explanation during your GRE math practice, you will understand the problem at a deeper level and be less likely to miss a similar problem in the future. GRE math practice questions can help you get there.<\/p>\n<p>This process of practicing <em>and<\/em> reviewing is the best (and really the only) way to improve your score on the GRE. With enough GRE quantitative practice, you&#8217;ll get the score you want! And for more good habits that&#8217;ll help you get that high score, check out this video:<\/p>\n<p><iframe style=\"border: 0; margin: 0 auto; display: flex;\" src=\"https:\/\/www.youtube.com\/embed\/MtKyXmS6ZCI\" width=\"560\" height=\"315\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<h2 style=\"color: #4d2079;\" id=\"more-help\">Need More Help?<\/h2>\n<p>For more personalized support, practice questions full-length tests, and lesson videos that are guaranteed to improve your score, you can sign up for a <a href=\"https:\/\/gre.magoosh.com\/plans?utm_source=greblog&#038;utm_medium=blog&#038;utm_campaign=greplans&#038;utm_term=inline&#038;utm_content=gre-math-practice-questions\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Magoosh GRE Premium plan<\/strong><\/a>. Happy studying!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Our GRE math practice questions cover the same range of math topics you&#8217;ll see on the actual exam, including arithmetic, algebra, geometry, and data interpretation. With so many areas to study, practice is the key to mastering the GRE Quant section. Don&#8217;t worry\u2014Magoosh is here to help! The GRE math practice questions in this post [&hellip;]<\/p>\n","protected":false},"author":10,"featured_media":19922,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[25,10764],"tags":[],"ppma_author":[12264],"class_list":["post-8618","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math","category-math-practice"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.7 (Yoast SEO v21.7) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>15 GRE Math Practice Questions with Explanations - Magoosh Blog \u2014 GRE\u00ae Test<\/title>\n<meta name=\"description\" content=\"Need math practice? 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