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Medium Difficulty Percentage Worksheet

KS3 / Year 7-9Medium25 questions

Free to print and use in your classroom. No sign-up required.

Formula

Percentage of amount = Amount × (Percentage ÷ 100)

Express as a percentage = (Part ÷ Whole) × 100

Percentage increase: multiply by (1 + rate/100)

Percentage decrease: multiply by (1 − rate/100)

Work out each percentage. Show your working for all questions. Answers to Section A may be decimals.

Section A: Find the percentage of an amount

  1. 1. Find 17% of 200.

  2. 2. Find 35% of 80.

  3. 3. Find 42% of 150.

  4. 4. Find 65% of 40.

  5. 5. Find 85% of 60.

  6. 6. Find 12% of 250.

  7. 7. Find 78% of 400.

  8. 8. Find 47% of 300.

  9. 9. Find 93% of 500.

  10. 10. Find 6% of 350.

Section B: Express one number as a percentage of another

  1. 11. Express 18 out of 60 as a percentage.

  2. 12. Express 45 out of 180 as a percentage.

  3. 13. Express 36 out of 120 as a percentage.

  4. 14. Express 14 out of 40 as a percentage.

  5. 15. Express 7 out of 20 as a percentage.

  6. 16. A student scores 54 marks out of 90. Express this as a percentage.

  7. 17. In a jar of 200 sweets, 70 are red. What percentage are red?

  8. 18. A team wins 24 games out of 60 played. What percentage of games do they win?

Section C: Percentage increase and decrease

  1. 19. Increase 80 by 15%.

  2. 20. Decrease 200 by 30%.

  3. 21. Increase 450 by 20%.

  4. 22. Decrease 360 by 25%.

  5. 23. A price of £120 is increased by 5%. What is the new price?

  6. 24. A jacket costs £80. It is reduced by 35% in a sale. What is the sale price?

  7. 25. A town has a population of 24,000. The population increases by 12.5%. What is the new population?

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Worked Answers

Section A: Find the percentage of an amount

  1. 1. 17% of 200 = 34

    200 × 0.17 = 34

  2. 2. 35% of 80 = 28

    80 × 0.35 = 28

  3. 3. 42% of 150 = 63

    150 × 0.42 = 63

  4. 4. 65% of 40 = 26

    40 × 0.65 = 26

  5. 5. 85% of 60 = 51

    60 × 0.85 = 51

  6. 6. 12% of 250 = 30

    250 × 0.12 = 30

  7. 7. 78% of 400 = 312

    400 × 0.78 = 312

  8. 8. 47% of 300 = 141

    300 × 0.47 = 141

  9. 9. 93% of 500 = 465

    500 × 0.93 = 465

  10. 10. 6% of 350 = 21

    350 × 0.06 = 21

Section B: Express one number as a percentage of another

  1. 11. 30%

    (18 ÷ 60) × 100 = 0.3 × 100 = 30%

  2. 12. 25%

    (45 ÷ 180) × 100 = 0.25 × 100 = 25%

  3. 13. 30%

    (36 ÷ 120) × 100 = 0.3 × 100 = 30%

  4. 14. 35%

    (14 ÷ 40) × 100 = 0.35 × 100 = 35%

  5. 15. 35%

    (7 ÷ 20) × 100 = 0.35 × 100 = 35%

  6. 16. 60%

    (54 ÷ 90) × 100 = 0.6 × 100 = 60%

  7. 17. 35%

    (70 ÷ 200) × 100 = 0.35 × 100 = 35%

  8. 18. 40%

    (24 ÷ 60) × 100 = 0.4 × 100 = 40%

Section C: Percentage increase and decrease

  1. 19. 80 increased by 15% = 92

    80 × 1.15 = 92

  2. 20. 200 decreased by 30% = 140

    200 × 0.70 = 140

  3. 21. 450 increased by 20% = 540

    450 × 1.20 = 540

  4. 22. 360 decreased by 25% = 270

    360 × 0.75 = 270

  5. 23. New price = £126

    £120 × 1.05 = £126

  6. 24. Sale price = £52

    £80 × 0.65 = £52

  7. 25. New population = 27,000

    24,000 × 1.125 = 27,000

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