Percentage Assessment Worksheet
Free to print and use in your classroom. No sign-up required.
Percentage Assessment Worksheet
Answer all questions. Show your working clearly. The number of marks available for each question is shown in square brackets.
Percentage of amounts
1. Find 30% of 150. [1 mark]
2. Find 17.5% of 240. [1 mark]
3. Find 8% of 350. [1 mark]
4. Find 62.5% of 480. [1 mark]
5. A school has 840 pupils. 55% are girls. How many boys are in the school? [2 marks]
Percentage increase and decrease
6. Increase 360 by 25%. [2 marks]
7. Decrease 5,200 by 15%. [2 marks]
8. A jacket costs £85. In a sale it is reduced by 20%. What is the sale price? [2 marks]
9. A train journey takes 80 minutes. Due to engineering works, the journey time increases by 35%. How many minutes does the journey now take? [2 marks]
10. A shop reduces a television from £640 by 12.5% and then reduces it by a further 10%. What is the final price? [2 marks]
Expressing as a percentage
11. Express 36 out of 90 as a percentage. [2 marks]
12. A student scores 54 out of 72 in a test. What is their score as a percentage? Give your answer to 1 decimal place. [2 marks]
13. A town's population grew from 24,000 to 27,600. Calculate the percentage increase. [2 marks]
14. A car was worth £12,500 and is now worth £9,875. Calculate the percentage decrease. [2 marks]
Reverse percentages
15. After a 20% increase, a value is 156. Find the original value. [2 marks]
16. After a 15% decrease, a price is £85. Find the original price. [2 marks]
17. A coat costs £108 after a 10% discount. What was the original price? [2 marks]
18. A price including VAT at 20% is £276. Find the price before VAT was added. [3 marks]
Compound interest and depreciation
19. £4,000 is invested at a compound interest rate of 3% per year. What is the total value after 4 years? Give your answer to the nearest penny. [3 marks]
20. A motorbike costs £7,200 and depreciates at 18% per year. What is it worth after 3 years? Give your answer to the nearest pound. [3 marks]
21. £2,500 is invested at a compound interest rate of 4% per year. After how many whole years will the investment exceed £3,000? [3 marks]
22. A house was bought for £180,000. Its value increased by 6% in year 1 and decreased by 4% in year 2. What is the value at the end of year 2? [3 marks]
Multi-step problems
23. A shop buys an item for £48 and sells it with a 35% markup. During a sale the selling price is then reduced by 20%. What is the final sale price, and does the shop make a profit or loss overall? [4 marks]
24. Sarah earns £32,000 per year. She receives a 4% pay rise, then 18 months later receives a further 2.5% rise. What is her salary after both rises? How much more does she earn per year compared to her starting salary? Give your answers to the nearest pound. [4 marks]
25. In 2020, a city's population was 125,000. It grew by 3% in 2021, then by 2% in 2022, and then fell by 1% in 2023. What was the population at the start of 2024? What was the overall percentage change from 2020 to 2024? Give your percentage answer to 2 decimal places. [4 marks]
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