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GMAT Quant Practice Worksheets & Answer Key

Download an 8-question GMAT Quant worksheet with a separate answer and explanation section. The selected text questions work without a screen or an account.

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Version 2026-10-27 · Original foundation materials · No sign-up

What this collection covers

Quantitative Reasoning foundations: arithmetic and elementary algebra.

This fixed sample includes one question per selected skill before additional families. Questions requiring a separate diagram are excluded from this text worksheet. It is an untimed study resource with working space, rather than an official mock examination.

Author-reviewed learning materials. Independent educator review is pending; question difficulty has not been calibrated with learner results. Check coverage and gaps before planning your preparation.

Inside the printable worksheet

8 original questionsSeparate explanationsUS Letter · PDF · Version 2026-10-27

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Questions included in this PDF

QUESTION 1 · Divisibility and integer structure

A distributor has 45 pens and 75 notebooks. It makes the greatest possible number of identical kits, with every item used. How many kits does it make?

  1. 45
  2. 3
  3. 5
  4. 225
  5. 15
Read the answer and explanation

Answer: 15

  1. The kit count must divide both item counts.
  2. The common factor of 15 and 25 is 5, and both counts include a factor 3.
  3. The greatest kit count is 15.
Review the lesson
QUESTION 2 · Fixed costs and break-even decisions

Service A costs $10 plus $7 per use. Service B costs $42 plus $3 per use. At what number of uses do the total costs match?

  1. 8
  2. 6
  3. 16/5
  4. 66
  5. 13
Read the answer and explanation

Answer: 8

  1. Equate the totals: 10+7x = 42+3x.
  2. Collect variable terms: 4x = 32.
  3. The plans match at 8 uses.
Review the lesson
QUESTION 3 · Fractions as budgets and relationships

What is the value of (1/5) ÷ (1/5 + 1/6)?

  1. 5/11
  2. 11/30
  3. 1/11
  4. 1/5
  5. 6/11
Read the answer and explanation

Answer: 6/11

  1. The denominator is (6 + 5)/30.
  2. Divide by this fraction by multiplying by its reciprocal.
  3. Cancellation gives 6/11.
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QUESTION 4 · Quadratic structure with restrictions

A model gives profit P = 600 − (q − 11)² for real q ≥ 0. What is the greatest possible profit?

  1. 11
  2. 600
  3. 121
  4. 0
  5. 721
Read the answer and explanation

Answer: 600

  1. The squared term is at least zero.
  2. Profit is therefore at most the constant, and the bound occurs when the square is zero.
  3. At q = 11, the greatest profit is 600.
Review the lesson
QUESTION 5 · Price changes and simple interest

An item costing $300 is marked up by 35%, then its marked price is discounted by 20%. What is its final selling price in dollars?

  1. 324
  2. 345
  3. 21
  4. 300
  5. 405
Read the answer and explanation

Answer: 324

  1. A 35% markup multiplies cost by 1.35.
  2. A 20% discount multiplies the marked price by 0.80.
  3. The combined factor is 1.08, giving $324.
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QUESTION 6 · Budgets, bounds and integer decisions

A team has a budget of $152. A service charges a fixed $12 plus $7 per report. What is the greatest whole number of reports the team can buy?

  1. 19
  2. 140
  3. 20
  4. 21
  5. 8
Read the answer and explanation

Answer: 20

  1. The report budget is 152−12 = 140.
  2. Divide by 7 and take the greatest integer that does not exceed the result.
  3. The maximum is 20 reports; 21 would cost $159.
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QUESTION 7 · Partnerships, mixtures and ages

Three partners divide $350 in the ratio 2:3:5. How many dollars does the second partner receive?

  1. 350/3
  2. 35
  3. 175
  4. 105
  5. 150
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Answer: 105

  1. The total number of ratio parts is 10.
  2. The second partner receives 3 of those 10 parts.
  3. The amount is 350 × 3/10 = 105.
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QUESTION 8 · Sequences and accumulated totals

An arithmetic sequence begins with 18 and has common difference 7. What is its eighth term?

  1. 144
  2. 74
  3. 60
  4. 67
  5. 340
Read the answer and explanation

Answer: 67

  1. From the first to the eighth term there are seven changes.
  2. Add seven copies of 7 to 18.
  3. The eighth term is 67.
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Sources and preparation route

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