Quantitative Reasoning
8 free practice tests · 27 questions · 47 minutes · No sign-up required
About This Exam
The GRE Quantitative Reasoning measure assesses your basic mathematical skills, understanding of elementary mathematical concepts, and ability to reason quantitatively and to solve problems with quantitative methods. It covers arithmetic, algebra, geometry, and data analysis.
What's Covered
- Arithmetic — properties of integers, fractions, decimals, real numbers, ratio, proportion, and percent
- Algebra — operations with exponents, simplifying algebraic expressions, linear and quadratic equations, and coordinate geometry
- Geometry — properties of parallel and perpendicular lines, triangles, quadrilaterals, other polygons, circles, and 3D figures
- Data Analysis — basic statistics (mean, median, mode, range, standard deviation), interpretation of data in graphs and tables, and probability
For more details, see the official ETS GRE Quantitative Reasoning page.
Study Tips
- Review basic math concepts thoroughly. Most questions cover high school level math, but they test it in complex ways.
- Get comfortable with the on-screen calculator. It's available during the test, but manually calculating simple operations is often faster.
- Practice Data Interpretation. Many questions involve analyzing graphs (bar, line, circle) and tables.
- Understand Quantitative Comparisons. These require you to determine if Quantity A is greater, Quantity B is greater, they are equal, or the relationship is undetermined.
- Manage your time. You have roughly 1.5 minutes per question. If a question is taking too long, mark it and move on.
About Our Practice Tests
Our practice tests are designed to match the format and difficulty of the real GRE. Practice Mode provides instant feedback and explanations, while Test Mode simulates the actual testing environment with a timer and no hints. Both are entirely free and require no account.
Sample Practice Questions
Review these sample questions to get a feel for the exam formatting.
Quantity B: 8^3
Compare the two quantities.
- A) Quantity A is greater.
- B) Quantity B is greater.
- C) The two quantities are equal.
- D) The relationship cannot be determined from the information given.
View Answer & Explanation
Correct Answer:
A) Quantity A is greater.
Explanation:
3^8 = 6,561. 8^3 = 512. Since 6,561 > 512, Quantity A is greater.
Quantity A: (x + 1)^2
Quantity B: x^2 + 1
Compare the two quantities.
- A) Quantity A is greater.
- B) Quantity B is greater.
- C) The two quantities are equal.
- D) The relationship cannot be determined from the information given.
View Answer & Explanation
Correct Answer:
A) Quantity A is greater.
Explanation:
(x + 1)^2 = x^2 + 2x + 1. So Quantity A = x^2 + 2x + 1 and Quantity B = x^2 + 1. The difference is A - B = 2x. Since x > 0, the difference 2x > 0, so Quantity A is always greater.
- A) 26
- B) 28
- C) 30
- D) 32
View Answer & Explanation
Correct Answer:
B) 28
Explanation:
For consecutive even integers, the average equals the middle (third) number. So the third integer is 24. The five consecutive even integers are 20, 22, 24, 26, 28. The largest is 28.