Our GRE math practice questions cover the same range of math topics you’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’t worry—Magoosh 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’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.
GRE Math Practice Questions: What to Expect
For each of the five question types that you’ll see on the GRE Quant section, we’ve included easy, medium, and hard practice questions for you to try.
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—who are already determined to do well and have usually put in some study time—have the following average correct percentages for each difficulty:
- Easy: ~70%
- Medium: ~60%
- Hard: ~50%
Use the table below to jump to each practice question:
Note: We’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’s no option to submit your answers from this page!
💡On the actual GRE, you’ll have access to a basic, on-screen calculator during the Quant section.
GRE Quantitative Comparison Practice Questions
Quantitative Comparison questions don’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.
Question 1 – Easy
The revenue generated by Company X is divided between Doug and Moira in a 6 to 5 ratio respectively.
| Column A | Column B |
|---|---|
| Moira’s share when the revenue generated by Company X is $15,700 | $7,900 |
Click to reveal the answer
Question 2 – Medium
| Column A | Column B |
|---|---|
| Length of arc ABC | 6 |
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Question 3 – Hard
- The greatest prime factor of 144 is x
- The greatest prime factor of 96 is y
| Column A | Column B |
|---|---|
| x | y |
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GRE Multiple-Choice Practice Questions
For GRE multiple-choice questions, solve the problem and select the choice (one of five) that best answers it.
Question 4 – Easy
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?
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Question 5 – Medium
If 6k2 + k = 2 and k > 0, then k must equal which of the following?
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Question 6 – Hard
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?
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GRE Numeric Entry Practice Questions
On GRE Numeric Entry questions, you type your answer into a box provided on screen.
Question 7 – Easy
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’s house. If these are the only houses on this street, how many houses are on this street?
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Question 8 – Medium
If \(\bigg(\dfrac{2^{-\text{n}}}{3}\bigg)\bigg(\dfrac{3^{-\text{n}}}{2}\bigg)=\dfrac{1}{36}\), what is the value of n?
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Question 9 – Hard
In the diagram, point D is the center of the medium-sized circle that passes through C and E, and it is also the center of the largest circle that passes through A and G. Each of the diameters of the small circles with centers B and F equals the radius of the medium-sized circle with center D. The shaded area is what fraction of the largest circle?
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GRE Multiple-Answer Practice Questions
If you encounter a question on GRE quantitative that appears to be multiple choice but does not specify that there is only one correct answer, you have found a multiple-answer question! Select all correct answer choices for this question type.
Question 10 – Easy
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?
Indicate all weights.
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Question 11 – Medium
If x > 0 which of the following expressions are equal to 3.6% of \(\frac{5x}{12}\)?
Indicate all such expressions.
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Question 12 – Hard
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?
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GRE Data Interpretation Practice Questions
GRE Data Interpretation questions ask you to look at graphics (primarily charts, graphs, and tables) and solve questions based on those.
Question 13 – Easy
| Animal | Percent |
|---|---|
| Lions | 32% |
| Leopards | 16% |
| Ocelots | 20% |
| Tigers | 8% |
| Bobcats | 24% |
If there are 44 leopards at the zoo, what is the zoo’s total animal population?
Click to reveal the answer
Question 14 – Medium
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’s annual income from tuition in 2008. The dot, above or below on the same dashed vertical line, indicates the college’s annual income in 2008 from investments such as endowments. The base of the vertical dashed line indicates the number of students at that college in 2008.
For how many colleges shown is the investment income in 2008 more than double the same college’s tuition income in 2008?
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Question 15 – Hard
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.
The ratio of people to televisions in Jenkinsville decreased by approximately what percent from 1955 to 1960?
Give your answer to the nearest integer percent and do not enter the percent sign.
Click to reveal the answer
🎉 Congratulations on finishing all these GRE math practice questions! If you’d like to try your hand at another practice set—and get an estimated score!—check out our GRE Diagnostic Quiz.
GRE Math Practice Questions: An Important Takeaway
How did your mini-GRE math practice test go? If you missed some (or even all) of the GRE math sample questions, don’t despair! You can still get the GRE score you want—and get into the graduate schools of your choice, with one big caveat…
When practicing GRE math problems, the key is to figure out why you answered questions incorrectly. Are you having trouble with the Numeric Entry question type? Are questions about geometry giving you the most issues? For a lot of students, it’s Quantitative Comparisons that prove tricky.
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.
This process of practicing and reviewing is the best (and really the only) way to improve your score on the GRE. With enough GRE quantitative practice, you’ll get the score you want! And for more good habits that’ll help you get that high score, check out this video:
Need More Help?
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 Magoosh GRE Premium plan. Happy studying!
