100+ Free GMAT Quantitative Reasoning Practice Questions

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Key Facts: GMAT Quantitative Reasoning Exam

Problem Solving questions in the Quantitative Reasoning section

GMAC GMAT Focus Edition official format (2024)

45 minutes

Total time for the GMAT Quantitative Reasoning section

GMAC GMAT Focus Edition official format (2024)

60–90

Score range for each GMAT Focus Edition section (Quant, Verbal, Data Insights)

GMAC scoring guide (2024)

Geometry questions on GMAT Focus Edition Quantitative — removed entirely

GMAC GMAT Focus Edition content changes (2023)

205–805

Total GMAT Focus Edition score range (all three sections weighted equally)

GMAC GMAT Focus Edition scoring (2024)

No calculator

Calculator availability on the GMAT Quantitative Reasoning section

GMAC GMAT Focus Edition rules (2024)

The GMAT Focus Edition Quantitative Reasoning section has 21 multiple-choice Problem Solving questions with a 45-minute time limit (GMAC, 2024). No calculator is permitted and Euclidean geometry is completely removed from this section. The section is scored on a 60–90 scale, contributing equally to the total GMAT score of 205–805. Top MBA programs (Harvard, Wharton, Booth) typically require scores of 80+ on this section. The Focus Edition replaced the classic GMAT in late 2023 and is now the only version available worldwide.

Sample GMAT Quantitative Reasoning Practice Questions

Try these sample questions to test your GMAT Quantitative Reasoning exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If x/4 + x/6 = 5, what is the value of x?

A.10

B.12

C.15

D.18

Explanation: Find a common denominator: x/4 + x/6 = 3x/12 + 2x/12 = 5x/12 = 5. Multiply both sides by 12/5: x = 12.

2A store sells a jacket for $120, which is 20% more than the store paid for it. How much did the store pay for the jacket?

A.$96

B.$100

C.$102

D.$104

Explanation: If the store paid p, then p × 1.20 = 120. Dividing: p = 120/1.20 = 100. The store paid $100.

3What is the value of 2^10 / 2^7?

A.2

B.4

C.8

D.16

Explanation: 2^10 / 2^7 = 2^(10-7) = 2^3 = 8. When dividing same-base exponentials, subtract exponents.

4If 3 workers can complete a task in 12 days, how many days will 9 workers take to complete the same task (assuming all workers work at the same rate)?

A.3

B.4

C.6

D.9

Explanation: Total work = 3 × 12 = 36 worker-days. With 9 workers: 36/9 = 4 days.

5The average (arithmetic mean) of 5 numbers is 18. If four of the numbers are 14, 16, 22, and 24, what is the fifth number?

A.10

B.12

C.14

D.16

Explanation: Sum of all 5 numbers = 5 × 18 = 90. Sum of the four known numbers = 14+16+22+24 = 76. Fifth number = 90 - 76 = 14.

6If x² - 9 = 0, which of the following gives ALL solutions for x?

A.x = 3 only

B.x = -3 only

C.x = 3 or x = -3

D.x = 9 or x = -9

Explanation: x² = 9 → x = ±√9 = ±3. Both positive and negative roots satisfy the equation.

7A train travels 240 miles in 4 hours. At this rate, how many miles will it travel in 7 hours?

A.360

B.400

C.420

D.480

Explanation: Speed = 240/4 = 60 miles per hour. In 7 hours: 60 × 7 = 420 miles.

8Which of the following is NOT a prime number?

A.17

B.23

C.51

D.71

Explanation: 51 = 3 × 17, so it is composite. 17, 23, and 71 are all prime (not divisible by any integer other than 1 and themselves).

9If 5x - 3 = 2x + 12, what is the value of x?

A.3

B.5

C.7

D.9

Explanation: 5x - 2x = 12 + 3 → 3x = 15 → x = 5.

10A bag contains 4 red marbles, 6 blue marbles, and 2 green marbles. If one marble is selected at random, what is the probability it is blue?

A.1/3

B.1/2

C.7/12

D.2/3

Explanation: Total marbles = 4 + 6 + 2 = 12. P(blue) = 6/12 = 1/2.

About the GMAT Quantitative Reasoning Exam

The GMAT Focus Edition Quantitative Reasoning section consists of 21 Problem Solving questions to be completed in 45 minutes without a calculator. Unlike the classic GMAT, the Focus Edition removes geometry entirely and moves Data Sufficiency to the Data Insights section — leaving Quant focused on arithmetic, algebra, word problems, number properties, and statistics.

Questions

21 scored questions

Time Limit

45 minutes

Passing Score

Section score 60–90; contributes equally to total GMAT score of 205–805

Exam Fee

$275–$300 USD (full GMAT exam; Quantitative is one of three equal sections) (Graduate Management Admission Council (GMAC))

GMAT Quantitative Reasoning Exam Content Outline

~25%

Arithmetic

Fractions, decimals, percentages, ratios, exponents, radicals, and percent change problems.

~30%

Algebra

Linear equations, quadratic equations, inequalities, functions, absolute value, and coordinate geometry (slopes and lines).

~25%

Word Problems

Rate-time-distance, work problems, mixtures, simple and compound interest, age problems, and overlapping sets.

~10%

Number Properties

Divisibility rules, prime factorization, GCF, LCM, parity, remainders, and modular arithmetic.

~10%

Statistics and Probability/Counting

Mean, median, mode, range, standard deviation, basic probability, combinations, and permutations.

How to Pass the GMAT Quantitative Reasoning Exam

What You Need to Know

Passing score: Section score 60–90; contributes equally to total GMAT score of 205–805
Exam length: 21 questions
Time limit: 45 minutes
Exam fee: $275–$300 USD (full GMAT exam; Quantitative is one of three equal sections)

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

GMAT Quantitative Reasoning Study Tips from Top Performers

1Master the four arithmetic operations on fractions and percentages without a calculator — most GMAT quant mistakes happen at the arithmetic step, not the setup.

2Memorize key number theory facts: divisibility rules for 2, 3, 4, 6, 9; prime numbers up to 50; perfect squares and cubes up to 15.

3For word problems, translate every sentence into a variable or equation before calculating — don't let the story fool you into skipping the setup.

4Practice the difference-of-squares, perfect-square trinomial, and sum/difference of cubes factoring patterns until they are automatic — they appear often.

5Time yourself strictly: 21 questions in 45 minutes means ~2 minutes each. If a problem takes more than 3 minutes, make your best guess and move on — you can flag it for review.

Frequently Asked Questions

Is a calculator allowed on the GMAT Quantitative Reasoning section?

No. No calculator is allowed on the Quantitative Reasoning section. A basic on-screen calculator is only available for the Data Insights section. Strong mental math and estimation skills are essential.

Is geometry tested on the GMAT Focus Edition Quantitative section?

Euclidean geometry (angles, triangles, circles, area/volume) has been completely removed from the Focus Edition Quant section. Coordinate geometry concepts — slopes, equations of lines, and x-y coordinates — are retained and classified under algebra.

What happened to Data Sufficiency on the GMAT Focus Edition?

Data Sufficiency was moved from the Quantitative Reasoning section to the Data Insights section in the Focus Edition. The Quant section now contains only Problem Solving (multiple-choice) questions.

How many questions and how much time is on the GMAT Quant section?

The GMAT Focus Edition Quantitative section has 21 questions with a 45-minute time limit, giving approximately 2 minutes and 8 seconds per question. The exam is computer-adaptive, so difficulty adjusts based on your performance.

What score do I need on the GMAT Quant section for a top MBA program?

Section scores range from 60 to 90. Top programs like Harvard Business School and Wharton typically see median GMAT total scores around 730–740 (out of 805). A Quant section score of 80 or above (roughly the 75th percentile) is considered competitive for elite programs.

Can I review and change answers on the GMAT Focus Edition?

Yes — the GMAT Focus Edition introduced a 'Review and Edit' feature that allows you to bookmark questions and change up to 3 answers per section. This is a significant change from the classic GMAT where no changes were allowed.