Mixed Percentage Questions Worksheet
Free to print and use in your classroom. No sign-up required.
Mixed Percentage Questions Worksheet
This worksheet covers all key percentage topics. Answer each section in turn. Show your working clearly. A calculator may be used.
Section 1: Percentage of an Amount
1. Calculate 20% of 350.
2. Calculate 35% of 480.
3. Calculate 7.5% of 640.
4. A cinema has 250 seats. 72% of the seats are filled. How many seats are occupied?
5. A survey asked 1,200 people about their travel habits. 43% said they drive to work. How many people is that?
6. Calculate 112% of 75.
7. A recipe requires 15% of a 2 kg bag of flour. How many grams of flour are needed?
Section 2: Percentage Increase and Decrease
8. Increase 560 by 15%.
9. Decrease 840 by 12%.
10. A wage of £28,000 per year is increased by 3.5%. What is the new annual wage?
11. A jacket is reduced by 40% to a sale price. The original price was £95. What is the sale price?
12. A value increases from 420 to 504. What is the percentage increase?
13. A football club's average attendance fell from 32,000 to 27,200. Calculate the percentage decrease.
14. A company increases its prices by 8% in January and by a further 5% in July. What is the total percentage increase over the year? Do not simply add 8 and 5.
Section 3: Expressing as a Percentage and Conversion
15. Express 45 out of 60 as a percentage.
16. Express 7 out of 40 as a percentage.
17. Convert 0.072 to a percentage.
18. Convert 3/8 to a percentage.
19. In a class of 28 students, 7 achieved a top grade. What percentage achieved a top grade?
20. A bag contains 5 red, 3 blue and 12 green counters. What percentage of the counters are blue?
21. A runner completes 9.6 km of a 12 km course before stopping. What percentage of the course has been completed?
Section 4: Reverse Percentages
22. After a 20% increase, a value is 180. What was the original value?
23. After a 15% decrease, a price is £170. What was the original price?
24. A laptop is sold for £510 after a 32% reduction. What was the original price?
25. An item costs £552 including VAT at 15%. What is the price before VAT?
26. After a 60% rise, a number is 1,280. What was the original number?
27. After receiving a 7% pay rise, Dan earns £3,745 per month. What was his salary before the pay rise?
28. In a sale, all prices are reduced by 18%. A coat is now £123. What was its original price?
Section 5: Compound Interest and Real-World Problems
29. £2,000 is invested at 5% per year compound interest. How much is in the account after 3 years?
30. A car is bought for £14,000 and depreciates at 20% per year. What is its value after 4 years?
31. £10,000 is invested at 3.2% compound interest. How much interest is earned after 5 years? Give your answer to the nearest penny.
32. A business increases its turnover by 8% each year for 3 consecutive years. If the turnover starts at £500,000, what is it at the end of the 3 years? Give your answer to the nearest pound.
33. A jeweller buys a ring for £280 and sells it for £392. Calculate the percentage profit.
34. A bank offers 4% per year compound interest. How many complete years does it take for an investment of £1,000 to exceed £1,200? Show all working.
35. A house was bought for £180,000 and sold three years later for £226,800. Express the profit as a percentage of the buying price.
Free to print and use in your classroom. No sign-up required. percentages.co.uk
Worked Answers
Section 1: Percentage of an Amount
- Q1: 0.20 × 350 = 70
- Q2: 0.35 × 480 = 168
- Q3: 0.075 × 640 = 48
- Q4: 0.72 × 250 = 180 seats
- Q5: 0.43 × 1,200 = 516 people
- Q6: 1.12 × 75 = 84
- Q7: 2 kg = 2,000 g. 0.15 × 2,000 = 300 g
Section 2: Percentage Increase and Decrease
- Q8: 560 × 1.15 = 644
- Q9: 840 × 0.88 = 739.2
- Q10: £28,000 × 1.035 = £28,980
- Q11: £95 × 0.60 = £57
- Q12: Increase = 504 − 420 = 84. (84 ÷ 420) × 100 = 20%
- Q13: Decrease = 32,000 − 27,200 = 4,800. (4,800 ÷ 32,000) × 100 = 15%
- Q14: 1.08 × 1.05 = 1.134. Overall increase = 13.4%
Section 3: Expressing as a Percentage and Conversion
- Q15: (45 ÷ 60) × 100 = 75%
- Q16: (7 ÷ 40) × 100 = 17.5%
- Q17: 0.072 × 100 = 7.2%
- Q18: 3 ÷ 8 = 0.375. 0.375 × 100 = 37.5%
- Q19: (7 ÷ 28) × 100 = 25%
- Q20: Total counters = 5 + 3 + 12 = 20. (3 ÷ 20) × 100 = 15%
- Q21: (9.6 ÷ 12) × 100 = 80%
Section 4: Reverse Percentages
- Q22: 180 ÷ 1.20 = 150
- Q23: £170 ÷ 0.85 = £200
- Q24: £510 ÷ 0.68 = £750
- Q25: £552 ÷ 1.15 = £480
- Q26: 1,280 ÷ 1.60 = 800
- Q27: £3,745 ÷ 1.07 = £3,500
- Q28: £123 ÷ 0.82 = £150
Section 5: Compound Interest and Real-World Problems
- Q29: £2,000 × 1.05³ = £2,000 × 1.157625 = £2,315.25
- Q30: £14,000 × 0.80&sup4; = £14,000 × 0.4096 = £5,734.40
- Q31: £10,000 × 1.032&sup5; = £10,000 × 1.17197 = £11,719.71. Interest = £11,719.71 − £10,000 = £1,719.71
- Q32: £500,000 × 1.08³ = £500,000 × 1.259712 = £629,856
- Q33: Profit = £392 − £280 = £112. (112 ÷ 280) × 100 = 40%
- Q34: Year 1: £1,040. Year 2: £1,081.60. Year 3: £1,124.86. Year 4: £1,169.86. Year 5: £1,216.65. The investment first exceeds £1,200 after 5 complete years.
- Q35: Profit = £226,800 − £180,000 = £46,800. (46,800 ÷ 180,000) × 100 = 26%
Related resources
Percentage Change Calculator
Find the percentage change between two values.
GCSE Percentages Revision
Full GCSE revision guide covering all percentage topics with exam-style examples.
GCSE Percentage Worksheet
Printable worksheet covering all GCSE percentage topics.
Assessment Worksheet
Full assessment worksheet covering all percentage topics.