Year 5 Percentage Worksheet
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Year 5 Percentage Worksheet
Year 5 | Ages 9–10 | KS2
Answer all questions. Show all working for questions worth 2 or more marks.
Answer all questions. Show all working for questions worth 2 or more marks.
60 questions · 103 marks
Set 1 (Questions 1–20): Starter — percentages of amounts, fractions, decimals and percentages
10% of 340 = ___
20% of 150 = ___
5% of 80 = ___
15% of 200 = ___
35% of 400 = ___
Write 3/10 as a percentage.
Write 1/4 as a percentage.
Write 3/5 as a percentage.
Write 7/10 as a percentage.
Write 3/4 as a percentage.
Write 2/5 as a percentage.
Write 0.3 as a percentage.
Write 0.75 as a percentage.
Write 0.4 as a percentage.
Write 65% as a decimal.
Write 8% as a decimal.
40% of 350 = ___
60% of 250 = ___
90% of 200 = ___
45% of 80 = ___
Set 2 (Questions 21–40): Main — expressing as a percentage, percentage increase and decrease
45 out of 60 pupils passed a test. What percentage passed?
18 out of 24 apples are red. What percentage are red?
30 out of 40 questions were correct. What percentage were correct?
A jacket costs £80. There is a 20% discount. How much is the sale price?
A school has 600 pupils. 35% travel by bus. How many travel by bus?
A shop sells 400 items in a week. 15% are returned. How many are returned?
A price rises from £50 to £60. What is the percentage increase?
A price falls from £80 to £60. What is the percentage decrease?
A town has 5000 people. 2% own a boat. How many own a boat?
5% of £360 = ___
A shirt costs £45. It is reduced by 20%. What is the new price?
12 out of 50 children walk to school. What percentage walk?
A number increases from 200 to 250. What is the percentage increase?
A factory makes 500 parts. 4% are faulty. How many are faulty?
Write 1/8 as a percentage.
A bookshop has 360 books. 30% are children's books. How many are children's books?
A number decreases from 80 to 60. What is the percentage decrease?
Write 0.08 as a percentage.
16 out of 64 sweets are strawberry flavour. What percentage are strawberry?
Which is greater: 35% of 400 or 40% of 350? Show your working.
Set 3 (Questions 41–60): Challenge — multi-step word problems and reasoning
A television costs £320. It is reduced by 15%. What is the new price?
In a survey, 120 out of 480 children say they prefer reading to sport. What percentage prefer reading?
A car's value falls from £8000 to £6000. What is the percentage decrease?
A baker makes 240 loaves. She sells 75% on Saturday and 10% on Sunday. How many loaves remain?
Express 45 minutes as a percentage of 1 hour.
Express 350 m as a percentage of 1 km (1000 m).
A school council has 40 members. 30% are from Year 5, 25% from Year 6 and the rest from other years. How many are from other years?
A laptop costs £500. It rises in price by 20% and then the new price is reduced by 10%. What is the final price?
In a class of 32 pupils, 8 are left-handed. What percentage are left-handed?
A market trader buys goods for £240 and sells them for £300. What is the percentage profit?
A recipe uses 360 g of flour and 90 g of sugar. What percentage of the total mixture is sugar?
A number increases by 30% to give 260. What was the original number?
A bus has 60 seats. On Monday 75% are occupied. On Tuesday 40% are occupied. How many more passengers were on the bus on Monday than on Tuesday?
A gym has 500 members. 12% joined this month. How many joined this month?
A field is 800 m long. A farmer ploughs 35% of it. How many metres has he ploughed?
Reasoning: A price increases by 10% then decreases by 10%. Anya says the price is back to where it started. Is she correct? Explain.
Reasoning: Sam says "60% of 50 is the same as 50% of 60." Is he correct? Explain why.
Reasoning: In a class, 40% of pupils are boys. There are 12 boys. How many pupils are in the class? Explain your method.
Reasoning: A coat is reduced by 25% to £90. What was the original price? Explain how you found your answer.
Reasoning: Is it possible for a percentage decrease to bring a value below zero? Explain.
Free to print and use in your classroom. percentages.co.uk
Answer Sheet — Year 5 Percentage Worksheet (Set A)
Answers are shown below. When printed, the answer sheet always starts on a new page.
| Q | Answer | Marks |
|---|---|---|
| 1 | 34 | 1 |
| 2 | 30 | 1 |
| 3 | 4 | 1 |
| 4 | 30 | 1 |
| 5 | 140 | 1 |
| 6 | 30% | 1 |
| 7 | 25% | 1 |
| 8 | 60% | 1 |
| 9 | 70% | 1 |
| 10 | 75% | 1 |
| 11 | 40% | 1 |
| 12 | 30% | 1 |
| 13 | 75% | 1 |
| 14 | 40% | 1 |
| 15 | 0.65 | 1 |
| 16 | 0.08 | 1 |
| 17 | 140 | 1 |
| 18 | 150 | 1 |
| 19 | 180 | 1 |
| 20 | 36 | 1 |
| 21 | 75% (45 ÷ 60 × 100 = 75%) | 2 |
| 22 | 75% (18 ÷ 24 × 100 = 75%) | 2 |
| 23 | 75% (30 ÷ 40 × 100 = 75%) | 2 |
| 24 | £64 (20% of £80 = £16; £80 − £16 = £64) | 2 |
| 25 | 210 (10% = 60, 30% = 180, 5% = 30; 35% = 210) | 2 |
| 26 | 60 (10% = 40, 5% = 20; 15% = 60) | 2 |
| 27 | 20% (increase = £10; 10 ÷ 50 × 100 = 20%) | 2 |
| 28 | 25% (decrease = £20; 20 ÷ 80 × 100 = 25%) | 2 |
| 29 | 100 (1% of 5000 = 50; 2% = 100) | 2 |
| 30 | £18 | 1 |
| Q | Answer | Marks |
|---|---|---|
| 31 | £36 (20% of £45 = £9; £45 − £9 = £36) | 2 |
| 32 | 24% (12 ÷ 50 × 100 = 24%) | 2 |
| 33 | 25% (increase = 50; 50 ÷ 200 × 100 = 25%) | 2 |
| 34 | 20 (1% = 5; 4% = 20) | 2 |
| 35 | 12.5% | 1 |
| 36 | 108 (10% = 36; 30% = 108) | 2 |
| 37 | 25% (decrease = 20; 20 ÷ 80 × 100 = 25%) | 2 |
| 38 | 8% | 1 |
| 39 | 25% (16 ÷ 64 × 100 = 25%) | 2 |
| 40 | 35% of 400 = 140 and 40% of 350 = 140. They are equal. | 2 |
| 41 | £272 (10% = £32, 5% = £16; 15% = £48; £320 − £48 = £272) | 2 |
| 42 | 25% (120 ÷ 480 × 100 = 25%) | 3 |
| 43 | 25% (decrease = £2000; 2000 ÷ 8000 × 100 = 25%) | 2 |
| 44 | 36 (75% of 240 = 180, 10% of 240 = 24; 204 sold; 240 − 204 = 36 remain) | 3 |
| 45 | 75% (45 ÷ 60 × 100 = 75%) | 2 |
| 46 | 35% | 2 |
| 47 | 18 (30% = 12, 25% = 10; 22 accounted for; 40 − 22 = 18) | 3 |
| 48 | £540 (20% rise: £500 × 1.2 = £600; 10% reduction: £600 × 0.9 = £540) | 3 |
| 49 | 25% (8 ÷ 32 × 100 = 25%) | 2 |
| 50 | 25% (profit = £60; 60 ÷ 240 × 100 = 25%) | 3 |
| 51 | 20% (total = 450 g; 90 ÷ 450 × 100 = 20%) | 2 |
| 52 | 200 (260 ÷ 1.3 = 200) | 2 |
| 53 | 21 (Monday: 45 passengers; Tuesday: 24 passengers; 45 − 24 = 21) | 3 |
| 54 | 60 (10% = 50, 2% = 10; 12% = 60) | 2 |
| 55 | 280 m (10% = 80, 30% = 240, 5% = 40; 35% = 280) | 2 |
| 56 | No. For example, £100 increased by 10% = £110. £110 decreased by 10% = £99. The final price is lower than the original. | 2 |
| 57 | Yes. 60% of 50 = 30 and 50% of 60 = 30. Percentages commute: x% of y = y% of x. | 2 |
| 58 | 30 pupils. 40% = 12, so 10% = 3 and 100% = 30. Alternatively, 12 ÷ 0.4 = 30. | 2 |
| 59 | £120. After a 25% reduction, 75% of the original = £90, so 1% = £90 ÷ 75 = £1.20 and 100% = £120. | 2 |
| 60 | No. A percentage decrease is a proportion of the original value. The smallest result is 100% decrease (which gives zero). You cannot go below zero using a percentage reduction alone. | 2 |