Answer all 25 questions. Show your working to gain full marks. Marks are shown in brackets.

1. 1. Calculate 13.5% of 460.[2 marks]
2. 2. A price increases from £85 to £99.45. Calculate the percentage increase.[2 marks]
3. 3. Decrease £1,240 by 17.5%.[2 marks]
4. 4. After a 22% reduction, a price is £312. Calculate the original price.[3 marks]
5. 5. After a 12% pay rise, a salary is £39,200. What was the original salary?[3 marks]
6. 6. A school's test score improves by 12%. The new score is 224. What was the original score?[3 marks]
7. 7. An investment of £3,000 earns compound interest at 4% per year. What is it worth after 3 years? Give your answer to the nearest penny.[3 marks]
8. 8. A house worth £250,000 falls by 8% in year 1 then rises by 5% in year 2. What is it worth at the end of year 2?[3 marks]
9. 9. A shop sells a jacket for £135, making a 12.5% profit on the cost price. What was the cost price?[3 marks]
10. 10. A quantity increases by 15% to become 1,380. What was the original quantity?[3 marks]
11. 11. Express £3.60 as a percentage of £24.[3 marks]
12. 12. A car is bought for £18,000 and depreciates at 15% per year. What is it worth after 3 years? Give your answer to the nearest pound.[4 marks]
13. 13. A price of £500 is increased by 12% and then decreased by 12%. What is the final price and what is the overall percentage change?[4 marks]
14. 14. A savings account pays 3.5% compound interest per year. Emma invests £4,000. How many complete years does it take for her investment to exceed £5,000?[4 marks]
15. 15. A price is reduced by 30% and then increased by 20%. Starting from £800, what is the final price and what is the overall percentage change?[4 marks]
16. 16. A car worth £20,000 depreciates at 20% per year for the first 2 years and then 10% per year for the next 2 years. What is it worth after 4 years?[4 marks]
17. 17. A laptop costs £680. In year 1 it loses 25% of its value. In year 2 it loses 20% of its remaining value. What is it worth at the end of year 2?[4 marks]
18. 18. An investment grows from £3,000 to £3,630 in exactly 2 years with compound interest. What is the annual percentage rate of interest?[4 marks]
19. 19. A population of 50,000 grows at 2.5% compound growth per year. What will the population be after 4 years? Give your answer to the nearest whole number.[4 marks]
20. 20. A quantity decreases by 40% each year. Starting at 5,000, what is the quantity after 3 years?[4 marks]
21. 21. A price is reduced by 25% and then by a further 10%. What is the total percentage reduction from the original price?[4 marks]
22. 22. An investment of £6,000 is made at 5% compound interest per year. How much interest is earned in year 3 alone?[4 marks]
23. 23. The value of a painting increases by 8% each year. It is currently worth £15,000. What will it be worth in 5 years? Give your answer to the nearest pound.[4 marks]
24. 24. A house worth £250,000 rises in value by 6% in year 1, falls by 3% in year 2 and rises by 4% in year 3. What is it worth at the end of year 3? Give your answer to the nearest pound. By how much has it changed from the original value?[5 marks]
25. 25. A car is bought for £24,000. In year 1 it depreciates by 25%, in year 2 by 20% and in year 3 by 15%. What is it worth after 3 years? What is the total percentage decrease in value?[5 marks]

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