KS3 Percentage Practice Questions
Seventy-five practice questions at Key Stage 3 level, suitable for pupils in Years 7 to 9 (ages 11 to 14). Questions are split into three sets of 25: percentage of an amount, percentage increase and decrease using the multiplier method, and mixed and reverse percentage problems. Click Show Answer to reveal a full worked solution.
Set 1: Percentage of an Amount
Finding percentages of amounts, with increasing difficulty.
1. What is 30% of 200?
2. What is 45% of 80?
3. What is 12% of 150?
4. What is 8% of 350?
5. What is 65% of 60?
6. What is 3.5% of 200?
7. What is 17.5% of 80?
8. What is 22% of 450?
9. What is 35% of 840?
10. What is 6.5% of 1200?
11. What is 72% of 525?
12. What is 15% of 64?
13. What is 4% of 750?
14. What is 85% of 320?
15. What is 11% of 900?
16. Express 36 as a percentage of 150.
17. Express 56 as a percentage of 80.
18. Express 13 as a percentage of 52.
19. A student scores 54 out of 72. What percentage is that?
20. In a class of 32 pupils, 20 voted for the science museum. What percentage voted for it?
21. What is 0.4% of 5000?
22. What is 133% of 60?
23. What is 37.5% of 240?
24. What is 0.75% of 8000?
25. In a survey, 168 out of 560 people preferred tea. What percentage is that?
Set 2: Percentage Increase and Decrease
Using the multiplier method for increases, decreases and percentage change.
26. Increase 80 by 20%.
27. Decrease 150 by 30%.
28. A jacket costs £60 and goes up in price by 15%. What is the new price?
29. A TV costs £480 and is reduced by 12.5% in a sale. What is the sale price?
30. A house was worth £200,000 and increased in value by 7%. What is it worth now?
31. A school's population was 900 and decreased by 8%. What is the new population?
32. Increase £340 by 5%.
33. Decrease 250 kg by 16%.
34. A car costs £12,500 and loses 22% of its value in the first year. What is it worth after one year?
35. A salary of £28,000 increases by 3.5%. What is the new salary?
36. A value increases from 60 to 75. Calculate the percentage increase.
37. A price falls from £240 to £192. Calculate the percentage decrease.
38. A population rises from 4,000 to 4,600. Calculate the percentage increase.
39. A value falls from 320 to 272. Calculate the percentage decrease.
40. A shirt originally costs £45. After a sale it costs £36. What is the percentage decrease?
41. Increase £720 by 12.5% using the multiplier method.
42. Decrease 960 by 37.5%.
43. A laptop was £850 and is now worth 15% less after 6 months. What is it worth?
44. A factory produces 2,400 units per week. Production increases by 12.5%. How many units are produced each week now?
45. A value changes from 500 to 430. Calculate the percentage change and state whether it is an increase or decrease.
46. A price increases by 40%, then decreases by 40%. Starting from £100, what is the final price?
47. Increase 1,250 by 4%.
48. A shop adds 20% VAT to a price of £85. What is the final price?
49. A school uniform costs £65 this year, compared to £50 last year. What is the percentage increase?
50. A mobile phone is reduced by 15% in a sale. The sale price is £340. What was the original price?
Set 3: Mixed and Reverse Percentages
Including harder reverse percentage problems and multi-step questions.
51. After a 20% increase, a price is £120. What was the original price?
52. After a 25% decrease, a value is 150. What was the original value?
53. A coat costs £98 after a 30% reduction. What was the original price?
54. A car is now worth £9,360 after losing 22% of its value. What was the car's original value?
55. After a 15% pay rise, a worker earns £28,750 per year. What was their salary before the rise?
56. A number increases by 20%, then by a further 10%. The final number is 132. What was the original?
57. After a 40% reduction, then a further 10% reduction, a price is £108. What was the original price?
58. Work out 15% of 240 without a calculator. Show your method.
59. Work out 17.5% of 80 without a calculator. Show your method.
60. After an 8% increase, a price is £324. What was the original price?
61. A quantity decreases by 16%. The new quantity is 504. What was the original?
62. A ticket costs £68.40 including a 14% booking fee. What was the original ticket price?
63. A value increases by 25% to reach 375. What was the original value?
64. An item is reduced by 35% in a clearance sale. The clearance price is £19.50. What was the original price?
65. A computer costs £540 with VAT at 20% included. What is the price before VAT?
66. Express 72 as a percentage of 270. Give your answer to 1 decimal place.
67. A sportsperson ran 13.2 km, which was 60% of their target distance. What was their target?
68. After increasing by 12% then by a further 5%, a salary is £26,460. What was the original salary?
69. A price increases by 30%, then is reduced by 30%. Starting from £200, what is the final price?
70. After a 45% discount, a sofa costs £330. What was the original price?
71. A number is increased by 60%. What single multiplier would return it to its original value?
72. A company's profit rose from £45,000 to £58,500. What is the percentage increase?
73. The price of a meal including a 12.5% service charge is £40.50. What was the price before the service charge?
74. A quantity decreases by 60%. The new quantity is 800. What was the original?
75. In a sale, all prices are reduced by 15%. At the till, a further 10% is deducted from the sale price. What is the overall percentage discount compared to the original price?
Learn the theory
Read the KS3 guide before attempting these questions, or revisit it if you get stuck.
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Ready for GCSE level?
Once you are confident with KS3 topics, try the GCSE practice questions.
GCSE Practice Questions