Percentage Multiplier Worksheet
Free to print and use in your classroom. No sign-up required.
Percentage Multiplier Worksheet
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 change | Multiplier | Percentage change | Multiplier |
|---|---|---|---|
| +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. Increase by 12%. Multiplier = ________
2. Decrease by 18%. Multiplier = ________
3. Increase by 7.5%. Multiplier = ________
4. Decrease by 35%. Multiplier = ________
5. Increase by 4%. Multiplier = ________
6. Decrease by 12.5%. Multiplier = ________
7. Increase by 125%. Multiplier = ________
8. Decrease by 2.5%. Multiplier = ________
9. Increase by 0.5%. Multiplier = ________
10. A multiplier of 0.73 is used. What percentage change does this represent?
Section B: Apply the Multiplier (Q11-25)
11. Increase £480 by 15% using the multiplier method.
12. Decrease 720 by 22% using the multiplier method.
13. Increase £1,250 by 12.5%.
14. Decrease £840 by 17.5%.
15. A salary of £28,000 rises by 6.5%. Find the new salary.
16. A TV costing £599 is reduced by 25% in a sale. Find the sale price.
17. Increase 4,200 by 3.5%.
18. A house worth £340,000 rises in value by 7%. Find the new value.
19. A price is multiplied by 0.68. The new price is £54.40. What was the original price?
20. A price is multiplied by 1.35. The new price is £675. What was the original price?
21. A price of £300 is increased by 20%, then decreased by 20%. Find the final price. Is it the same as the original?
22. A price of £600 is decreased by 30%, then increased by 30%. Find the final price.
23. An investment of £5,000 grows by 4% per year for 2 years. Use the multiplier to find the final value.
24. A car worth £16,000 depreciates by 12% per year for 3 years. Find its value after 3 years.
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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