Math & Worksheets

Word problems 3: percentages and fractions

Questions 13–18 with worked answers and printable practice.

Show your method. A calculator is optional. Prices, rates, and scenarios are fictional arithmetic examples.

  1. A fictional store sells 110 screens for $1,500 each. What are the gross receipts?

  2. An item priced at $1,800 is reduced by 10%. Find the sale price.

  3. For this arithmetic example, add a hypothetical 6.5% charge to the $1,620 sale price. Find the charge.

  4. Add 10½ and 2¾.

  5. A 67-member club requires at least two-thirds of all members to vote yes. What is the smallest whole number of yes votes needed?

  6. One task takes 3½ hours and another takes ¾ hour. What is the difference?

Answers and explanations
  1. 110 × $1,500 = $165,000. This is receipts, before any costs.
  2. 10% is $180. $1,800 − $180 = $1,620.
  3. $1,620 × 0.065 = $105.30. This is not a statement of any current tax rate.
  4. 10½ = 10¼ + ¼; more directly, 10.5 + 2.75 = 13.25 = 13¼.
  5. 67 × 2/3 = 44⅔, so at least 45 votes are needed.
  6. 3½ − ¾ = 3¼ + ¼ − ¾ = 2¾ hours. Equivalently, 3.50 − 0.75 = 2.75. The old answer key was wrong.

Adapted from Rick’s Math Word Problems Test, page 3. Wording and answer explanations have been revised; original diagrams are labeled as recovered. This is a practice sheet, not a standardized assessment.

Sources & further reading

Source links are provided for editorial review. Recovered historical text has not been independently verified.