GMAT Focus Edition

GMAT Practice Questions by Topic

Free GMAT sample questions in the GMAT Focus style, grouped by topic, each with a worked answer. They are original questions, not official GMAT items. Tap a question to reveal the answer. Need the rules? See the formula sheet. Want more at your level? Try adaptive practice, or check your level with the free diagnostic and plan your timeline with the study plan.

Percents

A price rises 20% and then falls 20%. What is the net change?
  1. 0%
  2. 4% decrease
  3. 4% increase
  4. 2% decrease
  5. 20% decrease

Answer: B. 1.2 × 0.8 = 0.96, a 4% decrease.

40 is 25% of what number?
  1. 10
  2. 100
  3. 120
  4. 160
  5. 200

Answer: D. 40 ÷ 0.25 = 160.

Rates and work

Pipe A fills a tank in 3 hours and pipe B in 6 hours. Together, how long do they take?
  1. 1.5 h
  2. 2 h
  3. 2.5 h
  4. 4.5 h
  5. 9 h

Answer: B. 1/3 + 1/6 = 1/2 tank per hour, so 2 hours.

A car drives 60 miles at 30 mph and returns at 60 mph. What is its average speed?
  1. 40 mph
  2. 42 mph
  3. 45 mph
  4. 48 mph
  5. 50 mph

Answer: A. Total 120 miles over 2 + 1 = 3 hours: 40 mph.

Algebra

If x² − 9 = 0 and x < 0, what is x?
  1. −9
  2. −3
  3. 0
  4. 3
  5. 9

Answer: B. x² = 9 gives x = ±3; x < 0, so x = −3.

If 3x + 2y = 12 and x − y = −1, what is x?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 5

Answer: B. y = x + 1, so 3x + 2x + 2 = 12, x = 2.

Number properties

How many positive factors does 72 have?
  1. 6
  2. 8
  3. 10
  4. 12
  5. 14

Answer: D. 72 = 2³ × 3², so (3 + 1)(2 + 1) = 12.

What is the remainder when 2^10 is divided by 7?
  1. 1
  2. 2
  3. 3
  4. 4
  5. 6

Answer: B. Powers of 2 mod 7 cycle 2, 4, 1. 10 = 3 × 3 + 1, so remainder 2.

Statistics and probability

The mean of 5 numbers is 12. Four of them sum to 44. What is the fifth?
  1. 12
  2. 14
  3. 16
  4. 18
  5. 20

Answer: C. Total is 60; 60 − 44 = 16.

A fair coin is flipped 3 times. What is the probability of at least one head?
  1. 1/8
  2. 3/8
  3. 1/2
  4. 3/4
  5. 7/8

Answer: E. 1 − P(no heads) = 1 − 1/8 = 7/8.

Counting

How many ways can a committee of 3 be chosen from 6 people?
  1. 18
  2. 20
  3. 36
  4. 120
  5. 216

Answer: B. 6C3 = 6! ÷ (3! × 3!) = 20.

Data Sufficiency

What is the value of x? (1) x² = 9. (2) x > 0.
  1. Statement (1) alone is sufficient, but (2) alone is not.
  2. Statement (2) alone is sufficient, but (1) alone is not.
  3. Both together are sufficient, but neither alone is.
  4. Each statement alone is sufficient.
  5. The statements together are not sufficient.

Answer: C. (1) gives x = 3 or −3, not enough. (2) only says x is positive, not enough. Together, x = 3, so both are needed.

Is the integer n even? (1) n + 1 is odd. (2) n is divisible by 3.
  1. Statement (1) alone is sufficient, but (2) alone is not.
  2. Statement (2) alone is sufficient, but (1) alone is not.
  3. Both together are sufficient, but neither alone is.
  4. Each statement alone is sufficient.
  5. The statements together are not sufficient.

Answer: A. (1) If n + 1 is odd, n must be even: sufficient. (2) 3 is odd and 6 is even, so it does not decide the question.

Questions

Where can I find free GMAT sample questions?

This page has free sample questions in the GMAT Focus style, each with a worked answer. They cover percents, rates, algebra, number properties, statistics, counting and Data Sufficiency. For more, use GMAT Buddy adaptive practice or take the free diagnostic.

Is there a free GMAT practice test?

The free diagnostic gives you a quick read on your level across Quant, Verbal and Data Insights. When you are ready for full timed sections, GMAT Buddy also has full-length mock exams.

Are these official GMAT questions?

No. They are original questions written in the GMAT Focus style. For official material, see mba.com.

How many practice questions should I do?

Quality beats volume. Most people do 1,000 to 1,500 questions over their prep, reviewing every miss.

Where can I practice more?

GMAT Buddy offers adaptive practice that picks questions at your level, plus full mock exams.

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