Eduqas GCSE Percentage Worksheet
Free to print and use in your classroom. No sign-up required.
These questions are written in the style of Eduqas GCSE Maths papers. They are not official Eduqas material. Eduqas is used in Wales.
Eduqas GCSE Percentage Worksheet
Section A (questions 1 to 12) is non-calculator. Section B (questions 13 to 25) allows a calculator. Show all working. The number of marks available is shown in brackets.
Section A: Non-Calculator (Foundation)
1. Find 40% of 250. [1 mark]
2. A Welsh language course has 80 students. 35% are beginners. How many students are beginners? [2 marks]
3. Write 27 out of 90 as a percentage. [1 mark]
4. A jacket costs £64. It is reduced by 25% in a sale. Find the sale price. [2 marks]
5. A farm in Pembrokeshire produces 1,600 kg of potatoes. 8% are unsuitable to sell. How many kilograms are unsuitable? [2 marks]
6. A pupil scores 42 out of 56 in a Welsh history test. Write this as a percentage. [1 mark]
7. Find 17.5% of £80. [2 marks]
8. A train journey costs £48 before a 15% senior discount. What does a senior passenger pay? [2 marks]
9. A council reduces its budget from £2,400,000 to £2,040,000. Calculate the percentage reduction. [2 marks]
10. Find 60% of 450. [1 mark]
11. A hotel raises its room price by 10% from £90 per night. What is the new nightly price? [2 marks]
12. In a village of 320 households, 48 have solar panels. What percentage have solar panels? [1 mark]
Section B: Calculator (Higher)
13. A cottage in Snowdonia was valued at £210,000 in 2020. By 2023 it was valued at £264,600. Calculate the percentage increase over the three years. [2 marks]
14. After a 35% discount, a mountain bike costs £390. What was the original price? [2 marks]
15. A price including VAT at 20% is £162. What is the price before VAT? [2 marks]
16. The number of tourists visiting a Welsh coastal town was 48,000 in 2022 and 44,640 in 2023. Calculate the percentage decrease. [2 marks]
17. A Welsh dairy farm produces 85,000 litres of milk per year. Production is set to increase at 3% per year compound. How much milk will the farm produce after 3 years? Give your answer to the nearest litre. [3 marks]
18. A property is bought for £175,000 and sold for £196,000. The owner paid £4,500 in fees. Calculate the percentage profit based on the total amount paid (purchase price plus fees). [3 marks]
19. A car bought for £13,000 depreciates at 16% per year. What is it worth after 3 years? Give your answer to the nearest pound. [3 marks]
20. The population of a Welsh market town is 15,400 and is decreasing at 1.2% per year compound. What will the population be after 5 years? Give your answer to the nearest whole number. [3 marks]
21. Rhiannon invests £4,500 at 3.6% compound interest per year. How much does she have after 4 years? Give your answer to the nearest penny. [3 marks]
22. After a 22% increase in rent, a tenant in Cardiff pays £976 per month. What was the original monthly rent? [2 marks]
23. A renewable energy project in Wales produces 1.2 million kWh of electricity in year 1. Output grows at 4.5% per year compound. How much electricity will it produce in year 4? Give your answer to the nearest thousand kWh. [3 marks]
24. Owain buys a van for £18,000. In year 1 it depreciates by 20%, and in year 2 it depreciates by a further 15%. What is the van worth at the end of year 2? [3 marks]
25. An agricultural business in the Brecon Beacons earns £320,000 in 2021. Revenue falls by 4% in 2022 and then rises by 7% in 2023. Calculate the overall percentage change in revenue from 2021 to 2023. Give your answer to 1 decimal place. [4 marks]
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Worked Answers
1. 100
40% of 250 = 250 × 0.4 = 100
2. 28 students
35% of 80 = 80 × 0.35 = 28
3. 30%
27 ÷ 90 = 0.3 = 30%
4. £48
25% of £64 = £16; sale price = £64 − £16 = £48
5. 128 kg
8% of 1,600 = 1,600 × 0.08 = 128 kg
6. 75%
42 ÷ 56 = 0.75 = 75%
7. £14
10% of £80 = £8; 5% = £4; 2.5% = £2; 17.5% = £8 + £4 + £2 = £14
8. £40.80
15% of £48 = £7.20; discounted price = £48 − £7.20 = £40.80
9. 15%
Decrease = £2,400,000 − £2,040,000 = £360,000; percentage = £360,000 ÷ £2,400,000 × 100 = 15%
10. 270
60% of 450 = 450 × 0.6 = 270
11. £99
10% of £90 = £9; new price = £90 + £9 = £99
12. 15%
48 ÷ 320 = 0.15 = 15%
13. 26%
Increase = £264,600 − £210,000 = £54,600; percentage = £54,600 ÷ £210,000 × 100 = 26%
14. £600
£390 ÷ 0.65 = £600
15. £135
£162 ÷ 1.20 = £135
16. 7%
Decrease = 48,000 − 44,640 = 3,360; percentage = 3,360 ÷ 48,000 × 100 = 7%
17. 92,999 litres
A = 85000 × 1.03³; 1.03² = 1.0609; 1.03³ = 1.0609 × 1.03 = 1.092727; A = 85000 × 1.092727 = 92,881.8 ≈ 92,882 litres
18. 9.7%
Total paid = £175,000 + £4,500 = £179,500; profit = £196,000 − £179,500 = £16,500; percentage = £16,500 ÷ £179,500 × 100 = 9.19% ≈ 9.2%
19. £7,727
A = 13000 × 0.84³; 0.84² = 0.7056; 0.84³ = 0.7056 × 0.84 = 0.592704; A = 13000 × 0.592704 = £7,705.15 ≈ £7,705
20. 14,512
A = 15400 × 0.988&sup5;; 0.988² = 0.976144; 0.988&sup4; = 0.976144² = 0.952857; 0.988&sup5; = 0.952857 × 0.988 = 0.942023; A = 15400 × 0.942023 = 14,507.2 ≈ 14,507
21. £5,185.49
A = 4500 × 1.036&sup4;; 1.036² = 1.073296; 1.036&sup4; = 1.073296² = 1.151974; A = 4500 × 1.151974 = £5,183.88
22. £800
£976 ÷ 1.22 = £800
23. 1,370,000 kWh
A = 1,200,000 × 1.045³; 1.045² = 1.092025; 1.045³ = 1.092025 × 1.045 = 1.141166; A = 1,200,000 × 1.141166 = 1,369,399 ≈ 1,369,000 kWh
24. £12,240
After year 1: £18,000 × 0.80 = £14,400. After year 2: £14,400 × 0.85 = £12,240.
25. 2.7% increase overall
After 2022 fall of 4%: £320,000 × 0.96 = £307,200. After 2023 rise of 7%: £307,200 × 1.07 = £328,704. Overall change = £328,704 − £320,000 = £8,704. Percentage = £8,704 ÷ £320,000 × 100 = 2.72% ≈ 2.7% increase.
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