GRE Math Practice Questions and Answers 2025

The Quantitative Reasoning section of the GRE assesses your basic mathematical skills, your understanding of fundamentals, and your ability to reason quantitatively. In this article, you will learn about the GRE 2025 math section and how efficiently you can apply your skills to solve mathematical problems.

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This Story also Contains

1. What is the GRE Math Section?
2. GRE General Test Structure:
3. Understanding Quantitative Reasoning (Maths) sectio:
4. Importance of Practicing GRE Math Questions 2025
5. Types of GRE Math Questions 2025
6. Strategies for Solving GRE 2025 Math Questions and Answers
7. GRE Math Practice Questions and Answers
8. Answer Explanations
9. GRE Math Practice Additional Resources
10. Final Tips for GRE Math Preparation:
11. Conclusion

What is the GRE Math Section?

First, you need to know the structure of the GRE Exam 2025, which is held to get admission to Master's degree courses in business, law, and more. You also need to practice GRE math questions and answers 2025 to get admission to good colleges abroad. This article contains GRE 2025 math questions and answers.

GRE General Test Structure:

The GRE General Test is computer-delivered. Its test-taker-friendly design lets you skip questions within a section, go back and change answers, and have the flexibility to choose which questions within a section you want to answer first.

Test sections and timing

The overall test time is about 1 hour and 58 minutes. There are five sections.

Understanding Quantitative Reasoning (Maths) sectio:

The GRE Mathematics test is generally chosen by students willing to pursue their master's in mathematics. mostly opted by students aspiring to pursue master’s degree programs in Mathematics at the top universities abroad.

Quantitative reasoning sections of the GRE have two sections.

Section 1 consists of 12 questions to be solved in 21 minutes, and section 2 consists of 15 questions to be solved in 26 minutes.

GRE maths contains approximately 50% of the questions that involve calculus and its applications, about 25% of the questions in the test are from elementary algebra, linear algebra, abstract algebra, and number theory.

The remaining 25% of the questions are from the other areas of mathematics currently studied by undergraduates in many institutions.

Importance of Practicing GRE Math Questions 2025

Practice is the key to success in any exam related to maths. Without practice, maths can’t be learned. So, practising makes you perfect and fit for the exam.

Here are some common outcomes of practising GRE 2025 maths questions:

• The GRE math section is one of the most versatile sections that test you based on a range of topics like arithmetic, algebra, geometry, and data interpretation. If you don’t practice them properly, you won’t be able to understand the concepts. So, to master your basics, you need to practice.

• If you practice more, you will learn new and quicker methods to solve the maths questions that will improve your efficiency.

• Practicing will help you to identify your weak areas and you can improve them by practicing more.

• Practice will make you exam-ready.

• It will also help you to get rid of last-minute hustle.

Types of GRE Math Questions 2025

Here we are going to discuss the types of GRE maths questions 2025:

Quantitative Comparison:

These are specific types of questions asked in GRE 2025 maths. You need not to worry much about it. You just need to learn the strategies to solve such questions. In Quantitative Comparison questions, You need to compare two values (A and B) to determine if one is greater, if they are equal, or if there isn't enough information to draw a definitive conclusion.

It will be better if you memorize the answer choices for this section. It will save you time during the exam.

Example:

Q: m - n = 7 and 3m + 2n > 38

Options:

1. Quantity A is greater.

2. Quantity B is greater.

3. The two quantities are equal.

4. The relationship cannot be determined from the information given.

Solution:

Put m = 7 + n in 3m + 2n > 38

⇒ 3(7 + n) + 2n > 38

⇒ 21 + 3n + 2n > 38

⇒ 5n > 17

⇒ n > 5.4

So, n can be less than 29 as well as can be more than 29. Therefore, the relationship cannot be determined from the information given and hence the answer should be option D.

Problem-Solving:

With the example, we are going to discuss here, you will be able to understand the problem-solving type of question. Problem-solving questions are the first of four main Math question-type variations tested on the new, shorter GRE.
GRE problem-solving questions are not just plain math questions, but they can be more of it. The following sample GRE math practice 2025 questions will help you to understand the same.

Example:

The average (arithmetic mean) age of the people in Group A is 27 years, and the average age of the people in Group B is 37 years. The average age of the people in the two groups combined is 31. If no person is common in both groups, what fraction of the total people are in group B?

Options:

A. 2/5
B. 1/2
C. 3/5
D. 2/3
E. 3/4

Solution:

You need to find the ratio of people in group A and people in group B.

Let the people in group A be x and the people in group B be y. Then

27x+37y=31(x+y)

⇒37y-31y=31x-27x

⇒6y=4x

yx=23

So, if the people in group B are 2 then people in group A are 3. So, the total number of people is 5.

So, required fraction = 25.

Hence, the correct answer is option A.

Data Interpretation:

Data interpretation questions contain either long passages, graphs, or tables followed by questions. Solving these questions requires analyzing and interpreting the data given in the above-discussed format. These questions can be in the form of multiple-choice questions or numeric entries.

For a better understanding, go through the following example:

Example:

Annual Percent Change in dollar Amount of Sales at Five Retail Stores of a multinational company from 2011 to 2013.

If the dollar amount of sales at Store A3 was $110,250 for 2013, what was the dollar amount of sales at that store for 2011?

Options:

1. $727,200

2. $792,000

3. $910,000

4. $980,000

5. $100,000

Solution:

Since the percentage changes are successive. So, you can solve this by assuming the dollar amount of sales of store A3 as 100x for the year 2011.

Amount of dollar sales of A3 in 2012 = 105x

Amount of dollar sales of A3 in 2013 = 110.25x = 110250

⇒ x = 1000

So, dollar amount of sales at Store A3 in 2011 = $100,000

Hence, the correct answer is option E.

Strategies for Solving GRE 2025 Math Questions and Answers

There are three basic steps to solve any maths problem that will also apply to GRE 2025 maths questions and answers.

Step 1: Understand the problem

Step 2: Solve the problem using a suitable strategy (back-solving, number picking, conceptual thinking, etc.)

Step 3: Check your answer

Understanding the Question Types

We have already discussed the types of questions that are asked in GRE 2025 maths in the above section i.e. Quantitative comparison type, Problem-solving type, and Data interpretation type.

Time Management Tips

The GRE maths section is designed in such a way that you get around 1.75 minutes to answer 1 question. Here, along with accuracy time management is also important.

In the GRE quant section, if you can’t perform within the time limits, your hard work won’t pay you. During practice remember one thing: If you can’t do it within the time limits, it doesn’t count.

You can enhance your time management by:

• Attempting more practice sets on different portals.

• Planning well during the GRE mock test.

• Make strategies during your preparation to master your concepts.

• Practice Vedic maths or mental maths

• For each question, allocate the time according to its difficulty. If you are not able to solve the question in that time, then mark the answer as per your best estimation and move forward.

• Don’t spend too much time on one question. If you know the concept then solve it otherwise move to the next question.

Common Pitfalls to Avoid

There are many pitfalls and challenges faced by an aspirant during an exam summarized here:

• Unable to understand the pattern of questions

• Silly mistakes while doing basic arithmetic calculations

• Unable to do calculations without using a calculator

• Lack of consistency in scores of practice tests

• Spending too much time on certain types of questions

You can avoid common mistakes during exams by

• Keeping yourself calm and focused

• Practice well before the exam

• Don’t rely on the use of calculators during practice sessions

• Master your basics to understand the pattern of questions and to gain consistency in your test results.

GRE Math Practice Questions and Answers

Quantitative Comparison Questions

Example 1
The ratio of profit shared by the two partners Allan and Donald is 6 : 5 respectively.

Options:

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

Example 2
The greatest prime factor of 882 is x

The greatest prime factor of 196 is y

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

GRE Math Problem-Solving Questions

Example 1

If 6k2 - 3k = 3 and k > 0, then k must equal which of the following?

A. 1/2

B. 1

C. 3/2

D. 2

E. 3

Example 2

In how many different ways can 4 identical chocolates and 4 identical ice-creams be distributed among 8 children such that each child receives 1 desert?
A. 20
B. 70
C. 512
D. 720
E. 729

Data Interpretation Questions

Example 1

The following chart shows the population of ABC city and the number of televisions in the town through the middle of part of the 20th century.

The ratio of people to televisions in ABC city decreased by approximately what percent from 1978 to 1983?

Give your answer to the nearest integer percent and do not enter the percent sign.

Example 2

Animal Distribution in a National Park

If the number of leopards at the national park is 24 more than the number of Tigers at the same national park, what is the total population of animals at the national park?

A. 750
B. 850
C. 1150
D. 1200
E. 1375

Answer Explanations

Explanation for Quantitative Comparison Questions

Example 1 Explanation

Value in column A = Donald’s share = 511×14300=$6,500

Value in column B = $7,700

So, B > A

Hence, the correct answer is option B.

Example 2 Explanation

882= 2×3×3×7×7

196= 2×2×7×7

So, the greatest prime factor of 882 = 7 = x

and the greatest prime factor of 196 = 7 = y

⇒ The two quantities are equal
Hence, the correct answer is option C.

Explanation for Problem-Solving Questions

Example 1 Explanation

6k2-3k=3

⇒ 6k2-3k-3=0

⇒ 6k2-6k+3k-3=0

⇒ 6k(k-1)+3(k-1)=0

⇒ (k-1)(6k+3)=0

So, k=1, -12

So, k = 1 is the answer since k > 0.

Hence, the correct answer is option B.

Example 2 Explanation

Since there are 8 objects to be distributed among 8 children, the total number of ways = 8!

but there are two groups of 4 identical things.

Therefore, the total number of "different" ways is = 8!4!×4!=70.

Hence, the correct answer is option B.

Explanation for Data Interpretation Questions

Example 1 Explanation

Step 1: The ratio for 1978 = [Population/Number of TV] = 8800110=8

Step 2: The ratio for 1983 = [Population/Number of TV] = 9100130=7

So, percentage decrease in ratio = 78×100=12.5%≈13.

Hence, the correct answer is 13.

Example 2 Explanation

Animal Distribution in a National Park

The number of leopards at the national park is 24 more than the number of Tigers at the same national park.

So, 2% = 24
⇒ 1% = 12

⇒ Total number of animals at the national park = 100% = 1200.

Hence, the correct answer is option D.

GRE Math Practice Additional Resources

You can find resources to prepare for the GRE. Here we are going to discuss some online resources to boost your preparation for the GRE.

Recommended GRE Math Prep Books

Here, we suggest you some useful books for GRE maths:

• Official GRE Quantitative Reasoning Practice Questions

• GRE prep by Magoosh

• GRE math workbook

• 60+ Math Concepts You Need to Know for the GRE and GMAT (Quick Review Notes) Kindle Edition

Online Practice Tools

There are many things you can do online to improve your GRE score. Here are some practice tools that will enhance your prep:

• Taking Practice Tests

You can take practice tests through several online portals, some of them are free and some are paid. Here are some online portals where you can register yourself to take tests

GRE Sample Paper - Set 1

• Online study material

You can study online from several portals or websites. Here are some online portals from where you can prepare for GRE maths

GRE Quantitative Reasoning Sample Questions

GRE Math Tutoring Services

If you need to hire a tutor for GRE maths, either you can look for one near you or you can find some good tutors online.

Final Tips for GRE Math Preparation:

• To solve the GRE problem-solving questions, you need to master your basics in the areas related to arithmetic, algebra, geometry, statistics, etc.

• Read the question carefully, understand every hint given in the question, and choose the right strategy to solve the question.

• Answer choices on the GRE are always listed in either descending or ascending order. If you are solving the question using options, you should start with option C, so that you will eliminate half of the options in one go.

• Specifically in data interpretation questions, quickly scan the data to get an overview of the question. First, read the question and focus on the information related to that question only.

• To manage your time, practice more.

Conclusion

In one line, we can say: “Practice is the key to success in any maths exam”.

Summary of Key Takeaways

This article is mainly focussed on the preparation of the GRE maths section. You should remember the following points:

• Understand the GRE maths section

• Make a study plan

• Master your basics

• Manage your time

• Take real-time practice tests