Year 5 percentages worksheet answers to download as PDF

These Year 5 percentages worksheet answers give a full worked solution to all 21 questions of the percentages worksheet. Try each question yourself first, then check your method step by step.

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Answer to Question 1
1. 45 out of 100 squares: 45%.
2. \(\frac{45}{100}\) = \(\frac{9}{20}\) (divide by 5).
3. 45 ÷ 100 = 0.45.
4. 100% − 45% = 55%.
Answer to Question 2
1. 45% = \(\frac{45}{100}\) = \(\frac{9}{20}\) = 0.45.
2. 60% = \(\frac{60}{100}\) = \(\frac{3}{5}\) = 0.6.
3. 8% = \(\frac{8}{100}\) = \(\frac{2}{25}\) = 0.08.
4. 35% = \(\frac{35}{100}\) = \(\frac{7}{20}\) = 0.35.
5. 90% = \(\frac{90}{100}\) = \(\frac{9}{10}\) = 0.9.
Answer to Question 3
1. \(\frac{7}{100}\) = 7%.
2. 0.6 = 0.60 = 60%.
3. 0.05 = 5%.
4. \(\frac{3}{10}\) = \(\frac{30}{100}\) = 30%.
5. \(\frac{1}{4}\) = \(\frac{25}{100}\) = 25%.
6. \(\frac{4}{5}\) = \(\frac{80}{100}\) = 80%.
Answer to Question 4
1. \(\frac{3}{20}\): 20 × 5 = 100, so multiply the top by 5 too: 3 × 5 = 15. 15%.
2. \(\frac{7}{25}\): 25 × 4 = 100, so multiply the top by 4 too: 7 × 4 = 28. 28%.
3. \(\frac{9}{50}\): 50 × 2 = 100, so multiply the top by 2 too: 9 × 2 = 18. 18%.
4. \(\frac{13}{20}\): 20 × 5 = 100, so multiply the top by 5 too: 13 × 5 = 65. 65%.
Answer to Question 5
1. Change to percentages: \(\frac{3}{5}\) = 60%, 0.58 = 58%, 62%, \(\frac{1}{2}\) = 50%, 0.7 = 70%.
2. In order: 50%, 58%, 60%, 62%, 70%. So the order is \(\frac{1}{2}\), 0.58, \(\frac{3}{5}\), 62%, 0.7.
Answer to Question 6
1. 50% of 80: 80 ÷ 2 = 40.
2. 25% of 60: 60 ÷ 4 = 15.
3. 10% of 350: 350 ÷ 10 = 35.
4. 20% of 45: 45 ÷ 5 = 9.
5. 75% of 40: 3 × (40 ÷ 4) = 3 × 10 = 30.
6. 30% of 90: 3 × (90 ÷ 10) = 3 × 9 = 27.
Answer to Question 7
1. 100% − 84% = 16%.
2. 84% − 39% = 45 percentage points.
3. 39 ÷ 100 = 0.39.
4. 39% + 45% = 84%.
Answer to Question 8
1. 25% of £48 = 48 ÷ 4 = £12. Sale price: 48 − 12 = £36.
2. 10% of £20 = £2. Sale price: 20 − 2 = £18.
3. 50% of £60 = £30. Sale price: 60 − 30 = £30.
4. 36 + 18 + 30 = £84.
Answer to Question 9
1. Ali: \(\frac{18}{20}\) = 90%. Beth: \(\frac{21}{25}\) = 84%. Chen: \(\frac{40}{50}\) = 80%. Dina: \(\frac{9}{10}\) = 90%.
2. Ali and Dina both got 90%.
3. Chen got the lowest (80%).
4. Ali = Dina (90%), Beth (84%), Chen (80%).
Answer to Question 10
1. 10% of 120 = 12. 35% = 3 × 12 + 6 = 36 + 6 = 42 children. (5% is half of 12 = 6.)
2. 25% of 120 = 120 ÷ 4 = 30 children.
3. 35% + 25% + 10% = 70%. So 100% − 70% = 30%.
4. 30% of 120 = 3 × 12 = 36 children.
5. 10% = \(\frac{10}{100}\) = \(\frac{1}{10}\).
Answer to Question 11
1. 10% of 20 = 2, so 60% = 6 × 2 = 12 matches.
2. 25% of 20 = 20 ÷ 4 = 5 matches.
3. 100% − 60% − 25% = 15%. 15% of 20 = 2 + 1 = 3 matches.
4. 12 × 3 = 36 and 5 × 1 = 5. Total 41 points.
Answer to Question 12
1. 20% of £15 = 15 ÷ 5 = £3.
2. 40% of £15 = 2 × £3 = £6.
3. 100% − 20% − 40% = 40%. 40% of £15 = £6.
4. 10 × £3 = £30.
Answer to Question 13
1. 20% of 500 = 500 ÷ 5 = 100 ml.
2. 100% − 20% = 80%.
3. 500 − 100 = 400 ml.
4. 25% of 400 = 100 ml. Both bottles have the same amount, 100 ml, of orange juice.
Answer to Question 14
1. 10% of 40 = 4, so 16 children is 4 × 10% = 40%.
2. 10 children = 2.5 × 4 children, so 25% (10 ÷ 40 = \(\frac{1}{4}\)).
3. Tennis 6 out of 40 = 15% and gymnastics 8 out of 40 = 20%, so together 35%.
4. 40% + 25% + 15% + 20% = 100%. ✓
Answer to Question 15
1. Bag 25% of 40 = £10. Pencil case 50% of 12 = £6. Calculator 10% of 30 = £3. Lunch box 20% of 15 = £3.
2. Bag 40 − 10 = £30. Pencil case 12 − 6 = £6. Calculator 30 − 3 = £27. Lunch box 15 − 3 = £12.
3. 30 + 27 = £57.
4. The biggest reduction in pounds is the school bag (£10); the biggest percentage is the pencil case (50%).
5. Pencil case saves £6 and the lunch box saves £3, so yes, she is right.
Answer to Question 16
1. 25 × 4 = 100, so a fraction out of 25 is changed to out of 100 by multiplying both numbers by 4.
2. Dog 10 × 4 = 40%; Cat 7 × 4 = 28%; Rabbit 3 × 4 = 12%; Fish 5 × 4 = 20%.
3. Dogs got \(\frac{10}{25}\) = \(\frac{2}{5}\) = 40%.
4. Dogs and fish: 40% + 20% = 60%, which is more than 50%. Yes, she is right.
Answer to Question 17
1. 10% of 60 = 6, so 40% = 24.
2. 25% of 60 = 60 ÷ 4 = 15.
3. 100 − 40 − 25 = 35%. 35% of 60 = 21: 21 grapes.
4. Grapes 21 + 20 = 41, total pieces 60 + 20 = 80. Fraction \(\frac{41}{80}\), which is already in its simplest form.
5. \(\frac{41}{80}\) = 51.25% so 51% to the nearest whole number.
Answer to Question 18
1. 100% − 85% = 15 percentage points.
2. Losses: 15, 25, 15, 25. The most is 25 points, between 10 am and 12 noon (and also between 2 pm and 4 pm).
3. 20% = \(\frac{20}{100}\) = \(\frac{1}{5}\).
4. From 2 pm to 4 pm it lost 45 − 20 = 25 points. At 6 pm it would be 20 − 25 = −5, which is below 5%. So it turns off before 6 pm.
Answer to Question 19
1. Anna: \(\frac{3}{5}\) = \(\frac{60}{100}\) = 60%. Ben: 0.65 = 65%. Cara: 62%.
2. Ben ate the biggest share (65%) and Anna the smallest (60%).
3. Anna (60%), Cara (62%), Ben (65%).
4. Dan ate \(\frac{7}{10}\) = 70%. All three ate less than Dan: Anna, Ben and Cara.
5. 0.75 = 75% and \(\frac{3}{4}\) = 75%, but 70% is not 75%. So Eve is wrong.
Answer to Question 20
1. 10% of 200 = £20.
2. 10% = £20 and 5% = £10, so 15% = £30.
3. 25% of 200 = £50.
4. 20 + 30 + 50 = £100 spent. £200 − £100 = £100, which is 50%.
5. Exactly half is left, 50%. She is not right: it is equal to half, not less.
Answer to Question 21
1. 10% of 100 = 10. 100 + 10 = £110.
2. 10% of 110 = 11. 110 − 11 = £99.
3. No. The second 10% is taken from a bigger amount (£110), so more is taken off than was added. The final price is £1 less.
4. 10% of 50 = 5, so the price goes to £55. 10% of 55 = 5.50, so the price goes to £49.50.

How to use these Year 5 percentages worksheet answers

First, try every question on the worksheet without looking. Then compare your working with the solution line by line, not only the final answer. When your answer is different, find the first step that changes, because that is where the mistake is. After that, read the matching part of the percentages lesson again. Finally, check that the method is secure with the quiz or the test.

Also, the Year 5 percentages worksheet answers are available as a PDF, so you can mark printed work quickly. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday. In short, these Year 5 percentages worksheet answers show every step, so nothing is left unexplained.