Answer all 25 questions. Show your working. For compound interest, use the formula A = P(1 + r/100)^n.

1. 1. After a 20% increase, a price is £360. What was the original price?

2. 2. After a 15% reduction, a price is £340. What was the original price?

3. 3. A value rises from £540 to £594. Calculate the percentage increase.

4. 4. A value falls from 840 to 714. Calculate the percentage decrease.

5. 5. £800 is invested at 5% compound interest for 2 years. What is the total amount?

6. 6. A car was bought for £15,000 and sold for £12,750. Calculate the percentage loss.

7. 7. After a 7.5% increase, a salary is £32,250. What was the original salary?

8. 8. £1,500 is invested at 4% compound interest for 3 years. What is it worth?

9. 9. A population of 20,000 grows by 3% per year. What is the population after 2 years?

10. 10. After a 12% discount, a price is £352. What was the original price?

11. 11. A house bought for £180,000 increases in value by 6% in year 1 and by 4% in year 2. What is it worth after 2 years?

12. 12. After a 35% rise, a price is £675. What was the original price?

13. 13. A car depreciates by 15% per year. It is worth £25,500 after 1 year. What was the original price?

14. 14. A value increases by 20% and then decreases by 20%. Starting from 500, what is the final value?

15. 15. A shop increases prices by 8%, then offers a 5% discount. Starting from £200, what is the final price?

16. 16. Express 42p as a percentage of £3.50.

17. 17. £2,000 is invested at 3.5% compound interest per year. How much is it worth after 2 years?

18. 18. A town's population falls from 48,000 to 39,600. Calculate the percentage decrease.

19. 19. After a 4% pay rise, a salary is £26,000. What was the original salary?

20. 20. A quantity falls by 60% to become 800. What was the original quantity?

21. 21. £5,000 is invested at 2.5% compound interest for 3 years. What is it worth?

22. 22. A jacket sells for £119, which includes a 40% profit on the cost price. What was the cost price?

23. 23. A price is reduced by 25% and then by a further 20%. What is the total percentage reduction from the original price?

24. 24. A value increases from 360 to 414. Calculate the percentage increase.

25. 25. After a 30% increase followed by a 30% decrease, starting from £600, what is the final value?

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