Percentage Word Problems Worksheet (GCSE)
GCSE | Years 10-11GCSE Exam Style25 questions
Free to print and use in your classroom. No sign-up required.
Percentage Word Problems Worksheet (GCSE)
Name: ___________________________Date: ___________________________Class: ___________
Show all working to gain full marks. Use of a calculator is permitted.
- 1. A jacket costs £72 after a 20% reduction. Find the original price.[3 marks]
- 2. A shop buys goods for £360 and sells them for £432. Calculate the percentage profit.[3 marks]
- 3. After a 15% pay rise, a salary is £34,500. Find the original salary.[3 marks]
- 4. A television costs £504 including VAT at 20%. Find the price before VAT.[3 marks]
- 5. A house increased in value by 8% to £324,000. Find the original value.[3 marks]
- 6. £6,000 is invested at 4% compound interest per year for 3 years. Find the total amount at the end of the 3 years.[3 marks]
- 7. A school's pupil numbers fell from 1,200 to 1,008. Calculate the percentage decrease.[3 marks]
- 8. A restaurant adds a 12.5% service charge to a bill of £84. What is the total bill?[2 marks]
- 9. After a 40% reduction, a price is £270. Find the original price.[3 marks]
- 10. A car worth £22,000 depreciates by 18% per year. Find its value after 2 years.[4 marks]
- 11. A price increases by 15% then decreases by 10%. Starting from £400, find the final price and state the overall percentage change.[4 marks]
- 12. A quantity falls by 60% to become 3,200. Find the original quantity.[3 marks]
- 13. £8,000 is invested at 5% compound interest per year. How many complete years does it take for the investment to exceed £9,000?[4 marks]
- 14. In a sale, all prices are reduced by 35%. A coat costs £97.50 in the sale. Find the original price.[3 marks]
- 15. A company's profits rise from £2.4 million to £2.88 million. Calculate the percentage increase.[3 marks]
- 16. A farmer's field produces 4,800 kg of wheat. After a drought, production falls by 37.5%. Find the new yield.[3 marks]
- 17. A flat was bought for £185,000 and sold 5 years later for £222,000. Calculate the percentage profit.[3 marks]
- 18. A price increases by 25% in year 1 and then by a further 20% in year 2. Starting from £800, find the final price and the overall percentage increase.[4 marks]
- 19. A worker's hourly pay is £14.80. After a 7.5% increase, what is the new hourly rate? Give your answer to the nearest penny.[2 marks]
- 20. The population of a city increases from 340,000 to 391,000. Calculate the percentage increase.[3 marks]
- 21. An investment grows from £12,000 to £14,520 in 2 years with compound interest. Find the annual rate of interest.[4 marks]
- 22. After VAT at 20% is included, a bill is £108. How much VAT was charged?[3 marks]
- 23. A shop increases a price by 10% and then reduces the new price by 10%. A student says the price is unchanged. Show whether the student is correct.[3 marks]
- 24. A savings account offers 3.5% compound interest per year. Zara invests £9,000. How many complete years does it take for her investment to exceed £11,000?[5 marks]
- 25. A price falls by 15% each year. Starting from £8,000, find the value after 4 years and calculate the overall percentage decrease.[5 marks]
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