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Percentage Multiplier Worksheet

KS3-GCSE | Years 8-11Intermediate25 questions

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

Why use multipliers?

Instead of finding the percentage and adding or subtracting, you multiply in one step.
To increase by r%: multiply by (1 + r ÷ 100)
To decrease by r%: multiply by (1 - r ÷ 100)

Example: Increase by 15% means multiply by 1.15. Decrease by 15% means multiply by 0.85.

Percentage changeMultiplierPercentage changeMultiplier
+5%1.05-5%0.95
+10%1.10-10%0.90
+15%1.15-15%0.85
+20%1.20-20%0.80
+25%1.25-25%0.75
+50%1.50-50%0.50

Section A: write the correct multiplier for each percentage change. Section B: use the multiplier to calculate the result. Show all working.

Section A: Write the Multiplier (Q1-10)

  1. 1. Increase by 12%. Multiplier = ________

  2. 2. Decrease by 18%. Multiplier = ________

  3. 3. Increase by 7.5%. Multiplier = ________

  4. 4. Decrease by 35%. Multiplier = ________

  5. 5. Increase by 4%. Multiplier = ________

  6. 6. Decrease by 12.5%. Multiplier = ________

  7. 7. Increase by 125%. Multiplier = ________

  8. 8. Decrease by 2.5%. Multiplier = ________

  9. 9. Increase by 0.5%. Multiplier = ________

  10. 10. A multiplier of 0.73 is used. What percentage change does this represent?

Section B: Apply the Multiplier (Q11-25)

  1. 11. Increase £480 by 15% using the multiplier method.

  2. 12. Decrease 720 by 22% using the multiplier method.

  3. 13. Increase £1,250 by 12.5%.

  4. 14. Decrease £840 by 17.5%.

  5. 15. A salary of £28,000 rises by 6.5%. Find the new salary.

  6. 16. A TV costing £599 is reduced by 25% in a sale. Find the sale price.

  7. 17. Increase 4,200 by 3.5%.

  8. 18. A house worth £340,000 rises in value by 7%. Find the new value.

  9. 19. A price is multiplied by 0.68. The new price is £54.40. What was the original price?

  10. 20. A price is multiplied by 1.35. The new price is £675. What was the original price?

  11. 21. A price of £300 is increased by 20%, then decreased by 20%. Find the final price. Is it the same as the original?

  12. 22. A price of £600 is decreased by 30%, then increased by 30%. Find the final price.

  13. 23. An investment of £5,000 grows by 4% per year for 2 years. Use the multiplier to find the final value.

  14. 24. A car worth £16,000 depreciates by 12% per year for 3 years. Find its value after 3 years.

  15. 25. What single multiplier represents an increase of 10% followed by a further increase of 10%? Explain why this is not the same as a single increase of 20%.

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Worked Answers

  1. 1. Increase by 12%: multiplier = 1.12
  2. 2. Decrease by 18%: multiplier = 0.82
  3. 3. Increase by 7.5%: multiplier = 1.075
  4. 4. Decrease by 35%: multiplier = 0.65
  5. 5. Increase by 4%: multiplier = 1.04
  6. 6. Decrease by 12.5%: multiplier = 0.875
  7. 7. Increase by 125%: multiplier = 1 + 1.25 = 2.25
  8. 8. Decrease by 2.5%: multiplier = 0.975
  9. 9. Increase by 0.5%: multiplier = 1.005
  10. 10. 0.73 means 1 - 0.27, so the change is a 27% decrease
  11. 11. 480 × 1.15 = £552
  12. 12. 720 × 0.78 = 561.60
  13. 13. 1,250 × 1.125 = £1,406.25
  14. 14. 840 × 0.825 = £693
  15. 15. 28,000 × 1.065 = £29,820
  16. 16. 599 × 0.75 = £449.25
  17. 17. 4,200 × 1.035 = 4,347
  18. 18. 340,000 × 1.07 = £363,800
  19. 19. 54.40 ÷ 0.68 = £80
  20. 20. 675 ÷ 1.35 = £500
  21. 21. 300 × 1.20 × 0.80 = 300 × 0.96 = £288. No, it is not the same as the original. A 20% increase then a 20% decrease gives a 4% net decrease overall.
  22. 22. 600 × 0.70 × 1.30 = 600 × 0.91 = £546. This is less than the original because the 30% decrease was applied to the larger amount first.
  23. 23. 5,000 × 1.04 × 1.04 = 5,000 × 1.04² = 5,000 × 1.0816 = £5,408
  24. 24. 16,000 × 0.88³ = 16,000 × 0.681472 = £10,903.55
  25. 25. Combined multiplier = 1.10 × 1.10 = 1.21, which represents a 21% increase. This is not the same as 20% because the second 10% increase is applied to the already-increased amount, not the original. The extra 1% arises from 10% of 10% = 1%.

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