Answer all 15 questions. Show your working clearly. A calculator may be used.

1. A price rises from £380 to £437. Calculate the percentage increase.

2. After a 45% reduction, a sofa costs £440. What was the original price?

3. A value increases by 12% and then by a further 8%. What is the combined percentage increase? Do not just add 12 and 8.

4. Amy invests £6,000 at 3.5% compound interest per year. How much does she have after 5 years? Give your answer to the nearest penny.

5. A car is worth £22,000 when new. It depreciates at 18% per year. What is it worth after 3 years? Give your answer to the nearest pound.

6. Express 0.064 as a percentage.

7. A salary of £32,000 is increased by 4% and then, one year later, decreased by 4%. What is the final salary? Explain why it is not £32,000.

8. After a 22% rise, an item costs £732. What was the original price?

9. The population of a town grows at 2.4% per year. The current population is 48,000. What will the population be after 6 years? Give your answer to the nearest whole number.

10. A radioactive substance decays at 15% per year. If there is initially 500 g, how much remains after 4 years? Give your answer to 2 decimal places.

11. Fatima invests £8,000 at 1.8% compound interest per year. After how many complete years will her investment first exceed £9,000? Show all working.

12. An item is sold at a 35% profit for £540. What was the cost price?

13. A company's revenue fell by 12% in 2023 and rose by 18% in 2024. Calculate the overall percentage change from the start of 2023 to the end of 2024.

14. Zara borrows £2,500 at a compound interest rate of 6% per year. She does not make any payments. How much does she owe after 3 years? Give your answer to the nearest penny.

15. A house increases in value by 5% per year. How many complete years does it take for the value to increase by at least 30% of its original value? Show your working.

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