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Percentage Change Worksheet

KS3-GCSE | Years 7-11Intermediate25 questions

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

Formula

Percentage change = ((New value − Original value) ÷ Original value) × 100

If the result is positive, it is a percentage increase. If the result is negative, it is a percentage decrease.

Calculate the percentage change in each question. State whether it is an increase or decrease. Show your working.

  1. 1. A value rises from 80 to 100. Calculate the percentage increase.

  2. 2. A value falls from 200 to 160. Calculate the percentage decrease.

  3. 3. A price rises from £40 to £50. Calculate the percentage increase.

  4. 4. A price falls from £90 to £72. Calculate the percentage decrease.

  5. 5. A value rises from 150 to 195. Calculate the percentage increase.

  6. 6. A salary rises from £24,000 to £25,200. Calculate the percentage increase.

  7. 7. A shop's revenue falls from £4,200 to £3,360. Calculate the percentage decrease.

  8. 8. A price rises from £64 to £72. Calculate the percentage increase.

  9. 9. A population rises from 18,000 to 20,700. Calculate the percentage increase.

  10. 10. A car's value falls from £15,000 to £12,750. Calculate the percentage decrease.

  11. 11. A test score rises from 56 to 70. Calculate the percentage increase.

  12. 12. A house price rises from £220,000 to £264,000. Calculate the percentage increase.

  13. 13. A stock value falls from £3.60 to £2.88. Calculate the percentage decrease.

  14. 14. A value changes from 840 to 1,008. Calculate the percentage change and state whether it is an increase or decrease.

  15. 15. A value changes from 75 to 60. Calculate the percentage change and state whether it is an increase or decrease.

  16. 16. An energy bill rises from £1,240 to £1,488. Calculate the percentage increase.

  17. 17. A quantity falls from 480 to 372. Calculate the percentage decrease.

  18. 18. A school's attendance rises from 850 to 901. Calculate the percentage increase.

  19. 19. A value falls from £8,400 to £6,720. Calculate the percentage decrease.

  20. 20. A town's population changes from 34,000 to 37,400. Calculate the percentage increase.

  21. 21. A value rises from 0.4 to 0.5. Calculate the percentage increase.

  22. 22. A club's membership falls from 360 to 270. Calculate the percentage decrease.

  23. 23. A value rises from £2.40 to £3.00. Calculate the percentage increase.

  24. 24. A train journey time falls from 120 minutes to 96 minutes. Calculate the percentage decrease.

  25. 25. A stock worth £4.80 first rises by 25% and then falls by 20%. What is the overall percentage change? Explain your answer.

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Worked Answers

  1. 1. 25% increase

    Change = 100 − 80 = 20. Percentage change = 20 ÷ 80 × 100 = 25%

  2. 2. 20% decrease

    Change = 200 − 160 = 40. Percentage change = 40 ÷ 200 × 100 = 20%

  3. 3. 25% increase

    Change = £50 − £40 = £10. Percentage change = 10 ÷ 40 × 100 = 25%

  4. 4. 20% decrease

    Change = £90 − £72 = £18. Percentage change = 18 ÷ 90 × 100 = 20%

  5. 5. 30% increase

    Change = 195 − 150 = 45. Percentage change = 45 ÷ 150 × 100 = 30%

  6. 6. 5% increase

    Change = £25,200 − £24,000 = £1,200. Percentage change = 1,200 ÷ 24,000 × 100 = 5%

  7. 7. 20% decrease

    Change = £4,200 − £3,360 = £840. Percentage change = 840 ÷ 4,200 × 100 = 20%

  8. 8. 12.5% increase

    Change = £72 − £64 = £8. Percentage change = 8 ÷ 64 × 100 = 12.5%

  9. 9. 15% increase

    Change = 20,700 − 18,000 = 2,700. Percentage change = 2,700 ÷ 18,000 × 100 = 15%

  10. 10. 15% decrease

    Change = £15,000 − £12,750 = £2,250. Percentage change = 2,250 ÷ 15,000 × 100 = 15%

  11. 11. 25% increase

    Change = 70 − 56 = 14. Percentage change = 14 ÷ 56 × 100 = 25%

  12. 12. 20% increase

    Change = £264,000 − £220,000 = £44,000. Percentage change = 44,000 ÷ 220,000 × 100 = 20%

  13. 13. 20% decrease

    Change = £3.60 − £2.88 = £0.72. Percentage change = 0.72 ÷ 3.60 × 100 = 20%

  14. 14. 20% increase

    Change = 1,008 − 840 = 168. Percentage change = 168 ÷ 840 × 100 = 20%. The value has increased.

  15. 15. 20% decrease

    Change = 75 − 60 = 15. Percentage change = 15 ÷ 75 × 100 = 20%. The value has decreased.

  16. 16. 20% increase

    Change = £1,488 − £1,240 = £248. Percentage change = 248 ÷ 1,240 × 100 = 20%

  17. 17. 22.5% decrease

    Change = 480 − 372 = 108. Percentage change = 108 ÷ 480 × 100 = 22.5%

  18. 18. 6% increase

    Change = 901 − 850 = 51. Percentage change = 51 ÷ 850 × 100 = 6%

  19. 19. 20% decrease

    Change = £8,400 − £6,720 = £1,680. Percentage change = 1,680 ÷ 8,400 × 100 = 20%

  20. 20. 10% increase

    Change = 37,400 − 34,000 = 3,400. Percentage change = 3,400 ÷ 34,000 × 100 = 10%

  21. 21. 25% increase

    Change = 0.5 − 0.4 = 0.1. Percentage change = 0.1 ÷ 0.4 × 100 = 25%

  22. 22. 25% decrease

    Change = 360 − 270 = 90. Percentage change = 90 ÷ 360 × 100 = 25%

  23. 23. 25% increase

    Change = £3.00 − £2.40 = £0.60. Percentage change = 0.60 ÷ 2.40 × 100 = 25%

  24. 24. 20% decrease

    Change = 120 − 96 = 24 minutes. Percentage change = 24 ÷ 120 × 100 = 20%

  25. 25. 0% overall change

    After a 25% rise: £4.80 × 1.25 = £6.00. After a 20% fall: £6.00 × 0.80 = £4.80. The final value equals the original, so the overall percentage change is 0%. A rise of 25% followed by a fall of 20% do not cancel out in general, but they happen to do so here because 1.25 × 0.80 = 1.00.

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