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?
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