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121+ Free GRE Quantitative Practice Questions

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Key Facts: GRE Quantitative Exam

130–170

Scoring scale

ETS GRE General Test

27 questions

Total scored Quant questions

ETS GRE General Test (shortened format, Sept 2023)

~47 minutes

Total Quant time

ETS GRE General Test

4 content areas

Arithmetic, Algebra, Geometry, Data Analysis

ETS GRE Quantitative Reasoning Content Overview

21 days

Minimum interval between GRE General Test attempts

ETS GRE registration policy

5 years

GRE score reportability period

ETS GRE score reporting

The GRE General Test Quantitative Reasoning measure is scored 130–170 and consists of 27 questions across 2 section-level-adaptive sections completed in 47 minutes: 12 questions in 21 minutes, then 15 in 26 minutes. ETS names four content areas—Arithmetic, Algebra, Geometry, and Data Analysis—but publishes no numerical topic weights. Its response formats are Quantitative Comparison, multiple choice selecting one answer, multiple choice selecting one or more answers, and Numeric Entry. An on-screen calculator is provided.

Sample GRE Quantitative Practice Questions

Try these sample questions to test your GRE Quantitative exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 121+ question experience with AI tutoring.

1Quantity A: The number of distinct prime factors of 60 Quantity B: The number of distinct prime factors of 72 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
Explanation: 60 = 2² × 3 × 5, so it has 3 distinct prime factors: {2, 3, 5}. 72 = 2³ × 3², so it has 2 distinct prime factors: {2, 3}. Since 3 > 2, Quantity A is greater.
2What is the value of 2⁵ × 2⁻³?
A.2
B.4
C.8
D.16
Explanation: Using the exponent rule aᵐ × aⁿ = aᵐ⁺ⁿ: 2⁵ × 2⁻³ = 2^(5−3) = 2² = 4.
3A jacket originally priced at $120 is on sale for 25% off. What is the sale price?
A.$85
B.$88
C.$90
D.$95
Explanation: 25% of $120 = 0.25 × 120 = $30. Sale price = $120 − $30 = $90.
4Quantity A: (−3)⁴ Quantity B: −3⁴ 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
Explanation: (−3)⁴ = (−3)(−3)(−3)(−3) = +81. But −3⁴ means −(3⁴) = −81. So Quantity A = 81 and Quantity B = −81; A is greater.
5If the ratio of boys to girls in a class is 3:5 and there are 30 girls, how many students are in the class?
A.42
B.48
C.50
D.56
Explanation: Ratio boys:girls = 3:5. Girls = 5 parts = 30, so 1 part = 6. Boys = 3 × 6 = 18. Total = 18 + 30 = 48.
6Which of the following is divisible by both 4 and 6?
A.18
B.20
C.24
D.28
Explanation: LCM(4, 6) = 12. A number divisible by both 4 and 6 must be divisible by 12. Among the options: 18 ÷ 12 is not an integer; 20 ÷ 12 is not; 24 ÷ 12 = 2 ✓; 28 ÷ 12 is not.
7Quantity A: √144 + √25 Quantity B: √(144 + 25) 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
Explanation: Quantity A: √144 + √25 = 12 + 5 = 17. Quantity B: √(144 + 25) = √169 = 13. Since 17 > 13, Quantity A is greater.
8What is 15% of 240?
A.30
B.32
C.36
D.40
Explanation: 15% of 240 = 0.15 × 240 = 36. Alternatively: 10% of 240 = 24; 5% = 12; 24 + 12 = 36.
9A number n is chosen at random from the integers 1 through 20, inclusive. What is the probability that n is a prime number?
A.2/5
B.7/20
C.9/20
D.1/2
Explanation: Primes from 1–20: 2, 3, 5, 7, 11, 13, 17, 19 — eight primes. P = 8/20 = 2/5.
10What is the greatest common divisor (GCD) of 84 and 120?
A.12
B.18
C.24
D.36
Explanation: 84 = 2² × 3 × 7; 120 = 2³ × 3 × 5. GCD = product of shared prime factors at their lowest exponents = 2² × 3 = 12.

About the GRE Quantitative Exam

The GRE Quantitative Reasoning measure assesses basic mathematical skills, understanding of elementary mathematical concepts, and the ability to reason quantitatively and model and solve problems with quantitative methods. The shortened GRE (introduced September 2023) includes 2 scored Quant sections totaling 27 questions answered in approximately 47 minutes. An on-screen calculator is provided for all questions.

Questions

27 scored questions

Time Limit

~47 minutes (2 adaptive sections)

Passing Score

Scored 130–170 (no universal passing score; programs set minimums)

Exam Fee

Varies by test location; confirm the current fee with ETS (ETS (Educational Testing Service))

GRE Quantitative Exam Content Outline

No numerical weight published by ETS

Arithmetic

Integers, divisibility, prime numbers, exponents, roots, percents, ratios, and absolute value — the foundational layer of GRE Quant.

No numerical weight published by ETS

Algebra

Linear equations, inequalities, quadratic equations, functions, coordinate geometry, and algebraic word problems.

No numerical weight published by ETS

Geometry

Lines, angles, triangles, circles, polygons, 3-D solids, and coordinate geometry; no proofs or trigonometry required.

No numerical weight published by ETS

Data Analysis

Statistics (mean, median, mode, SD, quartiles), probability, counting methods, and data interpretation from tables and graphs.

How to Pass the GRE Quantitative Exam

What You Need to Know

  • Passing score: Scored 130–170 (no universal passing score; programs set minimums)
  • Exam length: 27 questions
  • Time limit: ~47 minutes (2 adaptive sections)
  • Exam fee: Varies by test location; confirm the current fee with ETS

Keys to Passing

  • Work through all 121 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

GRE Quantitative Study Tips from Top Performers

1Master the four quantitative comparison strategies: plug in numbers, use algebra, estimate, and look for equality/inequality patterns.
2Memorize perfect squares (1–25), perfect cubes (1–5), common Pythagorean triples (3-4-5, 5-12-13, 8-15-17), and fraction-decimal-percent equivalents.
3For data analysis, always read graph axes and titles carefully before answering — units and scale can be traps.
4When a Quantitative Comparison question contains variables, test special values: 0, 1, −1, a fraction between 0 and 1, and a large positive number.
5Use the on-screen calculator strategically — it is slower than mental math for simple calculations but invaluable for complex data interpretation problems.

Frequently Asked Questions

What is the score range for GRE Quantitative Reasoning?

GRE Quantitative Reasoning is scored on a scale of 130–170 in 1-point increments. There is no universal passing score — each graduate program sets its own minimum.

How many questions are on the GRE Quant section?

The shortened GRE (since September 2023) has 27 scored Quantitative Reasoning questions split across 2 adaptive sections.

Is a calculator allowed on GRE Quant?

Yes. A basic on-screen calculator is provided for all Quantitative Reasoning questions. You cannot bring your own calculator.

What math topics are covered on GRE Quant?

The four content areas are Arithmetic, Algebra, Geometry, and Data Analysis. All content is at or below the high school level; calculus and proofs are not tested.

What are Quantitative Comparison questions?

Quantitative Comparison questions present two quantities and ask whether Quantity A is greater, Quantity B is greater, the quantities are equal, or the relationship cannot be determined. ETS publishes this format but not a fixed percentage of the section for it.

How long is the GRE Quantitative Reasoning section?

The two Quantitative Reasoning sections in the shortened GRE take approximately 47 minutes total. Each section has roughly 12–15 questions.