OCR GCSE Percentage Questions
Thirty practice questions written in the style of OCR GCSE Maths papers. Questions include a mix of foundation and higher tier and are each labelled with the number of marks. OCR questions tend to be contextualised and problem-solving in style. Topics covered include percentage of an amount, percentage increase and decrease, reverse percentages, and compound interest. Click Show Answer to reveal a full worked solution.
These questions are practice resources written in the OCR exam style. They are not official OCR materials.
1. Calculate 65% of 160.
2. A pair of trainers cost £80. They are reduced by 35% in a sale. Find the sale price.
3. A bag of rice contains 2 kg. A recipe uses 750 g. What percentage of the bag is used?
4. In a survey, 420 out of 700 people said they exercised regularly. What percentage is that?
5. Increase 640 by 22%.
6. A value rises from £150 to £201. Calculate the percentage increase.
7. A pair of shoes costs £63 after a 10% reduction. What was the original price?
8. A savings account holds £480. Interest at 5% is added. How much is in the account after the interest is added?
9. A school canteen sells 450 meals in a week. 36% are vegetarian. How many vegetarian meals are sold?
10. Work out 22.5% of 400.
11. A concert venue holds 2,500 people. 64% of tickets have been sold. How many tickets are still available?
12. Express 85p as a percentage of £3.40.
13. Decrease 1,600 by 13.5%.
14. After an 18% rise, a wage is £8,496 per month. What was the monthly wage before the rise?
15. A price is increased by 20% and then increased by a further 10%. What is the overall percentage increase?
16. A house is bought for £195,000 and increases in value at 3% per year. What is it worth after 4 years? Give your answer to the nearest pound.
17. Leo invests £1,800 at 4.5% compound interest per year. How much will he have after 3 years? Give your answer to the nearest penny.
18. A bicycle costs £391.60 after a 16% reduction. What was the original price?
19. A quantity decreases by 35% to become 975. What was the original quantity?
20. The weight of a package decreases from 3.6 kg to 2.88 kg. Calculate the percentage decrease.
21. After two successive increases of 5% each, a value is 2,205. What was the original value?
22. A fund of £8,000 grows at 6% compound interest per year. After how many complete years does it first exceed £10,000? Show your working.
23. A car is bought for £14,500 and depreciates at 22% in year 1, then 14% per year after that. What is it worth at the end of year 3? Give your answer to the nearest pound.
24. A plumber charges £276 including 15% VAT. What is the charge before VAT?
25. Rosa invests £3,500 at 3.8% compound interest per year. How much interest does she earn over 4 years? Give your answer to the nearest penny.
26. A flat is worth £220,000. In year 1 it rises by 6%. In year 2 it falls by 4%. What is the flat worth at the end of year 2? By what percentage has it changed overall from the original?
27. A school raises its number of pupils from 980 to 1,078. What percentage increase is this?
28. Zara and Marcus each invest £5,000. Zara gets 3.5% per year compound interest. Marcus gets 4% per year. After 5 years, how much more does Marcus have than Zara? Give your answer to the nearest pound.
29. The selling price of a product is £345.60, which is 44% more than the cost price. What is the cost price?
30. A savings account offers 2.4% per year compound interest. How many complete years does it take for an initial deposit to grow by more than 15%? Show your working.
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