AQA GCSE Percentage Worksheet
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These questions are written in the style of AQA GCSE Maths papers. They are not official AQA material.
AQA GCSE Percentage Worksheet
Section A (questions 1 to 15) is non-calculator. Section B (questions 16 to 30) allows a calculator. Show all working. The number of marks available is shown in brackets.
Section A: Non-Calculator (Foundation)
1. Find 50% of 84. [1 mark]
2. Find 25% of 160. [1 mark]
3. Find 10% of 430. [1 mark]
4. Find 15% of 80. [2 marks]
5. Find 35% of 120. [2 marks]
6. A coat costs £48. It is reduced by 20% in a sale. What is the sale price? [2 marks]
7. A shop increases all prices by 10%. A lamp originally costs £35. What is the new price? [2 marks]
8. A student scores 36 out of 60 in a test. Write this as a percentage. [2 marks]
9. In a class of 30 pupils, 18 are girls. What percentage of the class are boys? [2 marks]
10. Write 45 out of 180 as a percentage. [1 mark]
11. A television is priced at £320. It is reduced by 25% in a sale. Find the sale price. [2 marks]
12. A worker earns £560 per week. She gets a 5% pay rise. By how much does her weekly pay increase? [2 marks]
13. A jacket costs £80. VAT at 20% is added. What is the total cost including VAT? [2 marks]
14. Out of 200 people surveyed, 150 said they preferred tea. What percentage preferred tea? [1 mark]
15. A bag of flour weighs 500 g. A baker uses 45% of the bag. How many grams does she use? [2 marks]
Section B: Calculator (Higher)
16. A price after a 15% increase is £161. What was the original price? [2 marks]
17. After a 30% reduction, a dress costs £63. What was the original price? [2 marks]
18. A laptop costs £850 plus VAT at 20%. Calculate the total cost including VAT. [2 marks]
19. A car is bought for £12,000 and sold for £9,600. Calculate the percentage loss. [2 marks]
20. A trader buys a bicycle for £240 and sells it for £300. Calculate the percentage profit. [2 marks]
21. An item including VAT at 20% costs £96. What is the price before VAT? [2 marks]
22. A house was worth £180,000 three years ago. It has increased in value by 4% each year using compound growth. What is it worth now? Give your answer to the nearest pound. [3 marks]
23. A car worth £16,000 depreciates at 18% per year. What is the car worth after 3 years? Give your answer to the nearest pound. [3 marks]
24. Sophie invests £5,000 at 3.5% compound interest per year. How much does she have after 4 years? Give your answer to the nearest penny. [3 marks]
25. A town has a population of 24,000. The population decreases by 2.5% per year. What is the population after 2 years? Give your answer to the nearest whole number. [3 marks]
26. After a 12% increase, a salary is £33,600. What was the original salary? [2 marks]
27. A population grew from 45,000 to 48,600. Calculate the percentage increase. [2 marks]
28. Marcus buys a flat for £120,000. He spends £8,000 on improvements and sells it for £145,000. Calculate the percentage profit on the total amount he spent. [3 marks]
29. £2,000 is invested at 5% compound interest per year. In which year does the investment first exceed £2,500? Use trial and improvement and show your working. [4 marks]
30. A factory produces 4,800 units one year and 5,520 units the next year. The following year production falls by 10% from the previous year. Calculate the overall percentage change from year 1 to year 3. [4 marks]
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Worked Answers
1. 42
50% of 84 = 84 ÷ 2 = 42
2. 40
25% of 160 = 160 ÷ 4 = 40
3. 43
10% of 430 = 430 ÷ 10 = 43
4. 12
10% of 80 = 8; 5% of 80 = 4; 15% = 8 + 4 = 12
5. 42
10% of 120 = 12; 30% = 36; 5% = 6; 35% = 36 + 6 = 42
6. £38.40
20% of £48 = £9.60; sale price = £48 − £9.60 = £38.40
7. £38.50
10% of £35 = £3.50; new price = £35 + £3.50 = £38.50
8. 60%
36 ÷ 60 = 0.6 = 60%
9. 40%
Girls = 18; boys = 30 − 18 = 12; 12 ÷ 30 = 0.4 = 40%
10. 25%
45 ÷ 180 = 0.25 = 25%
11. £240
25% of £320 = £80; sale price = £320 − £80 = £240
12. £28
5% of £560 = £560 ÷ 10 ÷ 2 = £28
13. £96
20% of £80 = £16; £80 + £16 = £96
14. 75%
150 ÷ 200 = 0.75 = 75%
15. 225 g
10% of 500 = 50 g; 40% = 200 g; 5% = 25 g; 45% = 200 + 25 = 225 g
16. £140
Multiplier = 1.15; original = £161 ÷ 1.15 = £140
17. £90
Multiplier = 0.70; original = £63 ÷ 0.70 = £90
18. £1,020
£850 × 1.20 = £1,020
19. 20% loss
Loss = £12,000 − £9,600 = £2,400; percentage loss = £2,400 ÷ £12,000 × 100 = 20%
20. 25% profit
Profit = £300 − £240 = £60; percentage profit = £60 ÷ £240 × 100 = 25%
21. £80
£96 ÷ 1.20 = £80
22. £202,479
A = 180000 × 1.04³ = 180000 × 1.124864 = £202,475.52 ≈ £202,476. Step by step: year 1 = £187,200; year 2 = £194,688; year 3 = £202,475.52 ≈ £202,476
23. £8,866
Multiplier = 0.82; A = 16000 × 0.82³ = 16000 × 0.551368 = £8,821.89 ≈ £8,822
24. £5,752.32
A = 5000 × 1.035&sup4; = 5000 × 1.147523 = £5,737.62. 1.035² = 1.071225; 1.035&sup4; = 1.071225² = 1.147523; A = 5000 × 1.147523 = £5,737.62
25. 22,830
Multiplier = 0.975; A = 24000 × 0.975² = 24000 × 0.950625 = 22,815 (to nearest whole number)
26. £30,000
£33,600 ÷ 1.12 = £30,000
27. 8%
Increase = 48,600 − 45,000 = 3,600; percentage = 3,600 ÷ 45,000 × 100 = 8%
28. 12.5%
Total spent = £120,000 + £8,000 = £128,000; profit = £145,000 − £128,000 = £17,000; percentage profit = £17,000 ÷ £128,000 × 100 = 13.28%
29. After 5 complete years
Year 1: 2000 × 1.05 = £2,100. Year 2: £2,205. Year 3: £2,315.25. Year 4: £2,431.01. Year 5: £2,552.56. First exceeds £2,500 after 5 complete years.
30. 3.5% overall increase from year 1 to year 3
Year 1 = 4,800; year 2 = 5,520; year 3 = 5,520 × 0.90 = 4,968. Change = 4,968 − 4,800 = 168. Percentage change = 168 ÷ 4,800 × 100 = 3.5% increase.
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