Decimals and percentages – Year 6 maths test answers to download as PDF

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1. Answer to Question 1 (3 marks)

   1. After the point come tenths (5), hundredths (7) and thousandths (2). The 7 is worth 0.07. (1 mark)
   2. Keep two decimal places and look at the third, 3: it is less than 5, so round down to 8.46. (1 mark)
   3. Write each with three decimal places: 0.380, 0.308, 0.830, 0.800. In order: 0.308, 0.38, 0.8, 0.83. (1 mark)

2. Answer to Question 2 (4 marks)

   1. Multiplying by 100 moves the digits two places left: 64. (1 mark)
   2. Ignore the point: 73 × 6 = 438. There is one decimal place in 7.3, so the answer is 43.8. (1 mark)
   3. 189 ÷ 7 = 27, and 18.9 has one decimal place, so 2.7. Check: 2.7 × 7 = 18.9. (1 mark)
   4. 12 × 2.5 = 12 × 2 + 12 × 0.5 = 24 + 6 = 30 kg. (1 mark)

3. Answer to Question 3 (4 marks)

   1. Multiply top and bottom by 5: \(\frac{45}{100}\), which is 0.45 and 45%. (1 mark)
   2. 0.35 = \(\frac{35}{100}\); divide top and bottom by 5 to get \(\frac{7}{20}\). (1 mark)
   3. Divide the percentage by 100: 62.5 ÷ 100 = 0.625. (1 mark)
   4. \(\frac{3}{5}\) = \(\frac{60}{100}\) = 60%, and 60% > 58%, so \(\frac{3}{5}\) is bigger. (1 mark)

4. Answer to Question 4 (4 marks)

   1. 10% is one tenth: £360 ÷ 10 = £36. (1 mark)
   2. Build 35% from easy parts: 10% = £8, so 30% = £24, and 5% = £4. Total £28. (1 mark)
   3. 25% is a quarter: £64 ÷ 4 = £16 off. Sale price: £64 − £16 = £48. (1 mark)
   4. 18 out of 24 = \(\frac{18}{24}\) = \(\frac{3}{4}\) = 75%. (1 mark)

5. Answer to Question 5 (5 marks)

   1. 32 × £18.50 = 32 × £18 + 32 × £0.50 = £576 + £16 = £592. (1 mark)
   2. 10% of £592 is £59.20, so 20% is 2 × £59.20 = £118.40. (1 mark)
   3. The pupils share £592 − £118.40 = £473.60; £473.60 ÷ 32 = £14.80 each (80% of £18.50). (2 marks)
   4. 32 × £4.75 = 32 × £5 − 32 × £0.25 = £160 − £8 = £152. (1 mark)

Total : 20 marks