OCR GCSE Percentage Worksheet
Free to print and use in your classroom. No sign-up required.
These questions are written in the style of OCR GCSE Maths papers. They are not official OCR material.
OCR GCSE Percentage Worksheet
Section A (questions 1 to 15) is non-calculator. Section B (questions 16 to 30) allows a calculator. Show all working. Some questions ask you to explain your reasoning as well as calculate. The number of marks available is shown in brackets.
Section A: Non-Calculator (Foundation)
1. Find 20% of 350. [1 mark]
2. A library has 600 books. 45% are fiction. How many fiction books are there? [2 marks]
3. Write 24 out of 60 as a percentage. [1 mark]
4. A shirt costs £40. It is reduced by 15% in a sale. What is the sale price? [2 marks]
5. A meal costs £32. A tip of 12.5% is added. What is the total amount paid? [2 marks]
6. A gardener plants 180 bulbs. 30% fail to grow. How many bulbs successfully grow? [2 marks]
7. In a survey, 90 out of 360 people said they cycled to work. What percentage is this? [1 mark]
8. A price is increased by 5% from £260. What is the new price? [2 marks]
9. Find 65% of 80. [2 marks]
10. A council tax bill of £1,200 is increased by 2.5%. What is the new bill? [2 marks]
11. A charity raises £4,800. 60% goes directly to the cause. How much is that? [2 marks]
12. A car park has 500 spaces. On Monday morning 420 spaces were taken. What percentage were empty? [2 marks]
13. Find 5% of £640. [1 mark]
14. A factory produced 800 items in January and 920 items in February. What is the percentage increase? [2 marks]
15. A bag of rice weighs 2 kg. 35% of the bag has been used. How many grams remain? [2 marks]
Section B: Calculator (Higher)
16. After a 28% increase, a house is worth £192,000. What was its original value? [2 marks]
17. A price including VAT at 20% is £108. What is the price without VAT? [2 marks]
18. A car is bought for £14,500 and sold for £11,020. Calculate the percentage loss. [2 marks]
19. Show that £5,000 invested at 4% compound interest for 3 years gives a total of £5,624.32. Show all steps clearly. [3 marks]
20. A car depreciates at 22% per year. It is currently worth £9,500. What will it be worth after 2 years? Give your answer to the nearest pound. [3 marks]
21. A school roll increases by 3% per year compound. The school has 800 pupils now. How many pupils will it have after 4 years? Give your answer to the nearest whole number. [3 marks]
22. Explain why a 10% increase followed by a 10% decrease does not return a value to its original amount. Use an example to support your answer. [3 marks]
23. After a 45% reduction in a sale, a sofa costs £330. What was the original price? [2 marks]
24. A company made a profit of £42,000 last year. This year the profit has fallen to £35,700. Calculate the percentage decrease in profit. [2 marks]
25. Show that a value which increases by 25% and then decreases by 20% returns to exactly its original value. Explain what is happening mathematically. [3 marks]
26. A savings account pays 3.2% compound interest per year. How much must be invested now so that the total after 5 years is at least £10,000? Give your answer to the nearest pound. [4 marks]
27. A city has a population of 320,000. It grows at 1.8% per year compound. After how many complete years will the population first exceed 350,000? Show your working. [4 marks]
28. A laptop is priced at £680 before VAT. During a sale it is reduced by 15% before VAT is added at 20%. Calculate the final price. [3 marks]
29. A machine is bought for £50,000. Its value depreciates at r% per year. After 4 years it is worth £26,244.70. Find r. Show your working. [4 marks]
30. Two competing investments are available. Investment A: £8,000 at 5% compound interest for 3 years. Investment B: £8,000 at 6% simple interest for 3 years. Which investment gives a greater return and by how much? [4 marks]
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