Percentages – Year 5 maths test answers to download as PDF

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1. Answer to Question 1 (4 marks)

   (a) Per cent means out of 100: \(\frac{35}{100}\). The highest common factor of 35 and 100 is 5, so it simplifies to \(\frac{7}{20}\). (1 mark)

   (b) 0.7 = 0.70 = 70 hundredths = 70%. (1 mark)

   (c) Make the denominator 100 by multiplying top and bottom by 5: \(\frac{85}{100}\) = 85%. (1 mark)

   (d) 8% is 8 hundredths: 0.08. (1 mark)

2. Answer to Question 2 (4 marks)

   (a) 50% is a half: 64 ÷ 2 = 32. (1 mark)

   (b) 25% is a quarter: 120 ÷ 4 = 30. (1 mark)

   (c) 10% is a tenth: 450 ÷ 10 = 45. (1 mark)

   (d) 10% of 70 is 7, and 30% is three times as much: 3 × 7 = 21. (1 mark)

3. Answer to Question 3 (4 marks)

   (a) Change to hundredths: \(\frac{2}{5}\) = \(\frac{40}{100}\) = 40%. (1 mark)

   (b) Write them all as percentages: 0.45 = 45%, \(\frac{2}{5}\) = 40%, 41%, \(\frac{1}{2}\) = 50%. In order: \(\frac{2}{5}\), 41%, 0.45, \(\frac{1}{2}\). (2 marks)

   (c) 0.8 = 80 hundredths = 80%, and 80% is more than 75%. So 0.8 is bigger. (1 mark)

4. Answer to Question 4 (3 marks)

   (a) Tom has confused 5% with 50%. A half is 50%; 5% is only 5 out of every 100, which is one twentieth. (1 mark)

   (b) 10% of £80 is £8, and 5% is half of that: £4. (1 mark)

   (c) 15% = 10% + 5% = £8 + £4 = £12. (1 mark)

5. Answer to Question 5 (5 marks)

   (a) 25% of 120 = 120 ÷ 4 = £30. New price: 120 − 30 = £90. (2 marks)

   (b) 10% of 80 = 8. 80 − 8 = £72. (1 mark)

   (c) 90 + 72 = £162. (1 mark)

   (d) He saves 200 − 162 = £38. \(\frac{38}{200}\) = \(\frac{19}{100}\) = 19%. (1 mark)

Total : 20 marks