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Percentage Increase and Decrease Worksheet

KS3-GCSE | Years 7-11Mixed30 questions

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

Step-by-Step Method

Increase £340 by 15%

Find 15% of £340:
10% of £340 = £34
5% of £340 = £17
15% = £34 + £17 = £51
New price = £340 + £51 = £391

Answer: £391

Multiplier Method

Increase £340 by 15%

Multiplier = 1 + 15 ÷ 100 = 1.15
£340 × 1.15 = £391

Answer: £391

For a decrease of 20%: multiplier = 1 - 0.20 = 0.80

Use the step-by-step method for Section A. Use the multiplier method for Section B. Show all working.

Section A: Step-by-Step Method (Q1-15)

  1. 1. Increase £200 by 10%.

  2. 2. Decrease 350 by 20%.

  3. 3. Increase £85 by 30%.

  4. 4. Decrease 640 by 25%.

  5. 5. Increase £120 by 15%.

  6. 6. Decrease £450 by 10%.

  7. 7. Increase 180 by 5%.

  8. 8. Decrease 240 by 15%.

  9. 9. A price of £36 is increased by 25%. Find the new price.

  10. 10. A shirt costs £48. It is reduced by 20% in a sale. Find the sale price.

  11. 11. Increase £680 by 12%.

  12. 12. Decrease 1,200 by 35%.

  13. 13. A salary of £24,000 receives a 5% pay rise. Find the new salary.

  14. 14. Decrease 840 by 17.5%.

  15. 15. Increase £560 by 22.5%.

Section B: Multiplier Method (Q16-30)

  1. 16. Increase £300 by 20%.

  2. 17. Decrease 480 by 25%.

  3. 18. Increase £750 by 16%.

  4. 19. Decrease 920 by 30%.

  5. 20. Increase £1,400 by 12.5%.

  6. 21. A house is worth £220,000. It increases in value by 7.5%. Find the new value.

  7. 22. A car is worth £15,500. It depreciates by 18% in the first year. Find its value after one year.

  8. 23. Decrease £4,200 by 14%.

  9. 24. An energy bill rises by 12.5% from £1,840. Find the new bill.

  10. 25. A shop reduces all items by 35%. A sofa originally costs £1,200. Find the sale price.

  11. 26. Increase 6,800 by 5.5%.

  12. 27. A population of 85,000 decreases by 3.5%. Find the new population.

  13. 28. Decrease £38,500 by 22%.

  14. 29. A flat is worth £195,000. It increases in value by 8.5% over one year. Find its new value.

  15. 30. A school's budget of £2,400,000 is cut by 6%. Find the new budget.

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