Year 6 Percentage Worksheet
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Year 6 Percentage Worksheet
Year 6 | Ages 10–11 | KS2 SATs
Answer all questions. Show your working for every question worth 2 or more marks.
Answer all questions. Show your working for every question worth 2 or more marks.
60 questions · 103 marks
Set 1 (Questions 1–20): Starter — percentage of amounts, FDP conversions
What is 50% of 120?
What is 25% of 80?
What is 10% of 350?
Convert 0.45 to a percentage.
Convert 75% to a decimal.
Convert 1/4 to a percentage.
Convert 3/5 to a percentage.
What is 20% of 150?
Convert 0.8 to a percentage.
Convert 30% to a decimal.
What is 5% of 200?
Convert 7/10 to a percentage.
What is 1% of 600?
Convert 0.625 to a percentage.
Convert 2/5 to a percentage.
What is 15% of 60?
Convert 35% to a decimal.
What is 75% of 48?
Convert 3/8 to a percentage.
Convert 0.125 to a percentage.
Set 2 (Questions 21–40): Main — percentage increase, decrease and expressing as a percentage
Express 18 out of 30 as a percentage.
Express 12 out of 40 as a percentage.
Increase £80 by 10%. What is the new amount?
Decrease 200 by 15%. What is the new amount?
A coat costs £120. It is reduced by 25%. What is the sale price?
Increase £450 by 20%. What is the new amount?
Express 24 out of 60 as a percentage.
A school has 400 pupils. 15% are absent. How many pupils are absent?
Decrease £350 by 30%. What is the new amount?
Express 45 out of 180 as a percentage.
A price rises from £50 to £55. What is the percentage increase?
A price falls from £80 to £72. What is the percentage decrease?
Increase 240 by 5%. What is the new amount?
A jacket costs £180. It has 20% off. What is the sale price?
Express 27 out of 36 as a percentage.
A test has 40 questions. Freya gets 34 correct. What percentage did she get correct?
Increase £1,200 by 8%. What is the new amount?
Decrease 500 by 12%. What is the new amount?
A price rises from £60 to £75. What is the percentage increase?
Express £35 as a percentage of £140.
Set 3 (Questions 41–60): Challenge — multi-step SATs-style problems and reasoning
A TV costs £420. It is on sale with 15% off. What is the sale price?
A school has 600 pupils. 55% are girls. How many boys are there?
A bike costs £320. First it is reduced by 10%, then a further 5% off the reduced price. What is the final price?
In a class of 32 pupils, 75% passed a test. How many pupils passed?
A shop buys trainers for £40 and sells them for £52. What is the percentage profit?
A population of 8,000 increases by 3%. What is the new population?
Tom scored 36 out of 48 in a maths test and 28 out of 40 in a science test. In which subject did he score a higher percentage? Show your working.
A laptop costs £560. VAT of 20% is added. What is the total price including VAT?
A train ticket costs £24.50. It increases by 8%. What is the new price? Give your answer in pounds and pence.
In a survey of 150 people, 42% preferred coffee. How many people preferred coffee?
A house is valued at £240,000. It increases by 4% in one year. What is it worth after one year?
A school collects £2,400 for charity. 35% goes to a local food bank and the rest is split equally between two other charities. How much does each of the other two charities receive?
A factory makes 1,500 items. 3.5% are faulty. How many items are faulty?
A price falls from £150 to £126. What is the percentage decrease?
A shop increases a price by 20% and then offers a 20% discount on the new price. Starting from £80, what is the final price? Is this the same as the original price? Explain.
Reasoning: Amara says "50% of 90 is the same as 90% of 50." Is she correct? Explain your answer with a calculation.
Reasoning: A jumper is reduced by 25%. Kaito says the sale price is 75% of the original price. Is he correct? Explain.
Reasoning: In a class, 40% of pupils are boys. There are 18 girls. How many pupils are in the class? Show your full working.
Reasoning: A shop says "Buy now: 30% off!" The original price was £60. A different shop sells the same item for £43. Which shop is cheaper, and by how much?
Reasoning: Priya gets 54 out of 60 in a spelling test and 34 out of 40 in a reading test. Her teacher says she did better in reading. Is the teacher correct? Show your percentage calculations.
Free to print and use in your classroom. percentages.co.uk
Answer Sheet — Year 6 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 | 20 | 1 |
| 3 | 35 | 1 |
| 4 | 45% | 1 |
| 5 | 0.75 | 1 |
| 6 | 25% | 1 |
| 7 | 60% | 1 |
| 8 | 30 | 1 |
| 9 | 80% | 1 |
| 10 | 0.3 | 1 |
| 11 | 10 | 1 |
| 12 | 70% | 1 |
| 13 | 6 | 1 |
| 14 | 62.5% | 1 |
| 15 | 40% | 1 |
| 16 | 9 | 1 |
| 17 | 0.35 | 1 |
| 18 | 36 | 1 |
| 19 | 37.5% | 1 |
| 20 | 12.5% | 1 |
| 21 | 60% | 1 |
| 22 | 30% | 1 |
| 23 | £88 | 2 |
| 24 | 170 | 2 |
| 25 | £90 | 2 |
| 26 | £540 | 2 |
| 27 | 40% | 1 |
| 28 | 60 | 2 |
| 29 | £245 | 2 |
| 30 | 25% | 1 |
| Q | Answer | Marks |
|---|---|---|
| 31 | 10% | 2 |
| 32 | 10% | 2 |
| 33 | 252 | 2 |
| 34 | £144 | 2 |
| 35 | 75% | 1 |
| 36 | 85% | 2 |
| 37 | £1,296 | 2 |
| 38 | 440 | 2 |
| 39 | 25% | 2 |
| 40 | 25% | 2 |
| 41 | £357 | 2 |
| 42 | 270 | 2 |
| 43 | £273.60 (10% of £320 = £32; £288. 5% of £288 = £14.40; £288 − £14.40 = £273.60) | 3 |
| 44 | 24 | 2 |
| 45 | 30% (profit = £12; 12 ÷ 40 × 100 = 30%) | 3 |
| 46 | 8,240 | 2 |
| 47 | Maths: 75%; Science: 70%. Tom scored higher in maths. | 3 |
| 48 | £672 | 2 |
| 49 | £26.46 | 3 |
| 50 | 63 | 2 |
| 51 | £249,600 | 2 |
| 52 | Food bank: £840. Each other charity: £780. | 3 |
| 53 | 52.5 (accept 52 or 53 with appropriate rounding) | 2 |
| 54 | 16% | 2 |
| 55 | £76.80. No, not the same. The 20% decrease is applied to the larger increased price, so the final amount is less than the original. | 3 |
| 56 | Yes. 50% of 90 = 45; 90% of 50 = 45. Both give 45, so she is correct. | 2 |
| 57 | Yes. Reducing by 25% means 100% − 25% = 75% remains, so the sale price is 75% of the original price. | 2 |
| 58 | 18 girls = 60% of the class. 1% = 18 ÷ 60 = 0.3. 100% = 30 pupils. | 3 |
| 59 | Shop 1 sale price: £42. Shop 1 is cheaper by £1. | 2 |
| 60 | Spelling: 54 ÷ 60 × 100 = 90%. Reading: 34 ÷ 40 × 100 = 85%. Priya scored higher in spelling, so the teacher is incorrect. | 3 |
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