Year 7 Percentage Worksheet
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Year 7 Percentage Worksheet
Year 7 | Ages 11–12 | KS3
Answer all questions. Use the multiplier method where possible. Show all working.
Answer all questions. Use the multiplier method where possible. Show all working.
60 questions · 103 marks
Set 1 (Questions 1–20): Starter — percentage of amounts and the multiplier method
What is 30% of 200? Use the multiplier 0.3.
What is 45% of 80? Use the multiplier 0.45.
What is 15% of 120?
What is 60% of 350?
What is 5% of 460?
What is 72.5% of 200?
Write the multiplier for a 20% increase.
Write the multiplier for a 35% decrease.
Write the multiplier for a 7% increase.
Write the multiplier for a 12.5% decrease.
What is 8% of 250?
What is 35% of 160?
Increase £80 by 10% using the multiplier method.
Decrease 300 by 20% using the multiplier method.
Increase £240 by 15% using the multiplier method.
Decrease 560 by 25% using the multiplier method.
What is 17.5% of 400?
What is 2.5% of 800?
Write the multiplier for a 100% increase.
Increase 180 by 50% using the multiplier method.
Set 2 (Questions 21–40): Main — percentage increase, decrease and percentage change
Express 24 as a percentage of 80.
Express 45 as a percentage of 150.
A coat costs £75. It is reduced by 20%. What is the sale price?
Increase £340 by 12% using the multiplier method.
A price rises from £50 to £65. Calculate the percentage increase.
A price falls from £120 to £96. Calculate the percentage decrease.
A shirt costs £35. VAT at 20% is added. What is the total price?
Decrease 480 by 35% using the multiplier method.
Express £6 as a percentage of £24.
A value rises from 200 to 230. Calculate the percentage increase.
A value falls from 360 to 270. Calculate the percentage decrease.
A pair of trainers costs £64. They are on sale at 12.5% off. What is the sale price?
A salary of £18,000 increases by 5%. What is the new salary?
Express 36 as a percentage of 144.
Increase 720 by 12.5% using the multiplier method.
A shop reduces all prices by 30%. A bag costs £85 originally. What is the sale price?
A value rises from 400 to 468. Calculate the percentage increase.
Express 56p as a percentage of £3.20.
Decrease 1,200 by 17.5% using the multiplier method.
A value falls from 840 to 672. Calculate the percentage decrease.
Set 3 (Questions 41–60): Challenge — multi-step problems and reasoning
A laptop costs £480. It is reduced by 15% in a sale. What is the sale price?
A factory has 1,400 workers. 8% are absent on Monday. How many workers are present?
In a class of 30 pupils, 40% are boys. How many girls are there?
A price rises from £140 to £168. Calculate the percentage increase.
A car costs £8,500 excluding VAT. VAT is added at 20%. What is the price including VAT?
A value increases by 8% to 864. What was the original value?
Shop A sells a phone for £240 after a 20% discount. Shop B sells the same phone for £228 after a 25% discount. Which shop had the higher original price? Show your working.
A baker increases the price of a loaf from £1.20 to £1.32. Calculate the percentage increase.
A sports club has 250 members. 48% are adults, 30% are teenagers and the rest are children. How many children are in the club?
Decrease 3,600 by 22.5% using the multiplier method.
Express 84p as a percentage of £4.20.
A shop first increases prices by 10%, then reduces them by 10%. Starting from £200, what is the final price? Explain why it is not £200.
A flight costs £185. Airport taxes add 12% to the cost. What is the total price?
A score of 63 out of 75 is what percentage?
Increase £2,650 by 6% using the multiplier method.
Reasoning: A phone is marked "40% off." The sale price is £138. Sam says the original price was £230. Is Sam correct? Show your calculation.
Reasoning: Two items both increase by 10%. Item A starts at £50 and item B starts at £200. Will they increase by the same amount? Explain with calculations.
Reasoning: A shop increases a price by 25% and then decreases the new price by 20%. Mia says the price is back to its original value. Use a starting price of £100 to show whether she is correct.
Reasoning: In a survey, 35% of 60 people said they walk to school, and 40% of 80 people in another survey said the same. Which survey had more people who walk to school?
Reasoning: A jacket costs £72 after a 10% discount and then a further 10% discount off the reduced price. Owen says the total discount is 20%. Is he correct? Show full working.
Free to print and use in your classroom. percentages.co.uk
Answer Sheet — Year 7 Percentage Worksheet (Set A)
Answers are shown below. When printed, the answer sheet always starts on a new page.
| Q | Answer | Marks |
|---|---|---|
| 1 | 60 | 1 |
| 2 | 36 | 1 |
| 3 | 18 | 1 |
| 4 | 210 | 1 |
| 5 | 23 | 1 |
| 6 | 145 | 1 |
| 7 | 1.2 | 1 |
| 8 | 0.65 | 1 |
| 9 | 1.07 | 1 |
| 10 | 0.875 | 1 |
| 11 | 20 | 1 |
| 12 | 56 | 1 |
| 13 | £88 | 1 |
| 14 | 240 | 1 |
| 15 | £276 | 1 |
| 16 | 420 | 1 |
| 17 | 70 | 1 |
| 18 | 20 | 1 |
| 19 | 2 | 1 |
| 20 | 270 | 1 |
| 21 | 30% | 1 |
| 22 | 30% | 1 |
| 23 | £60 | 2 |
| 24 | £380.80 | 2 |
| 25 | 30% | 2 |
| 26 | 20% | 2 |
| 27 | £42 | 2 |
| 28 | 312 | 2 |
| 29 | 25% | 1 |
| 30 | 15% | 2 |
| Q | Answer | Marks |
|---|---|---|
| 31 | 25% | 2 |
| 32 | £56 | 2 |
| 33 | £18,900 | 2 |
| 34 | 25% | 1 |
| 35 | 810 | 2 |
| 36 | £59.50 | 2 |
| 37 | 17% | 2 |
| 38 | 17.5% | 2 |
| 39 | 990 | 2 |
| 40 | 20% | 2 |
| 41 | £408 | 2 |
| 42 | 1,288 | 2 |
| 43 | 18 | 3 |
| 44 | 20% | 2 |
| 45 | £10,200 | 3 |
| 46 | 800 | 2 |
| 47 | Shop A original: £240 ÷ 0.8 = £300. Shop B original: £228 ÷ 0.75 = £304. Shop B had the higher original price. | 3 |
| 48 | 10% | 2 |
| 49 | 55 | 3 |
| 50 | 2,790 | 2 |
| 51 | 20% | 2 |
| 52 | £198. The 10% reduction is applied to the increased price of £220, so the reduction is larger than the original increase. | 3 |
| 53 | £207.20 | 2 |
| 54 | 84% | 2 |
| 55 | £2,809 | 2 |
| 56 | £138 ÷ 0.6 = £230. Yes, Sam is correct. | 2 |
| 57 | No. Item A increases by £5 (10% of £50); item B increases by £20 (10% of £200). The percentage is the same but the cash amount differs. | 2 |
| 58 | £100 × 1.25 = £125. £125 × 0.8 = £100. Mia is correct in this case. The multipliers 1.25 and 0.8 are reciprocals, so the effect cancels out. | 3 |
| 59 | Survey 1: 35% of 60 = 21 people. Survey 2: 40% of 80 = 32 people. Survey 2 had more people who walk to school. | 2 |
| 60 | Original price: £72 ÷ 0.9 = £80 (after first discount). Before any discount: £80 ÷ 0.9 = £88.89. Combined multiplier: 0.9 × 0.9 = 0.81, so total discount is 19%. Owen is incorrect. | 3 |
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