Ratio, proportion and percentages – Year 6 maths test answers to download as PDF

← Back to the test

1. Answer to Question 1 (3 marks)

   1. The HCF is 8, so the ratio is 3 : 5. (1 mark)
   2. 9 : 15 divides by 3, so the ratio is 3 : 5. (1 mark)
   3. 200 cm : 50 cm divides by 50, so the ratio is 4 : 1. (1 mark)

2. Answer to Question 2 (4 marks)

   1. 5 + 7 = 12 parts, £84 ÷ 12 = £7. Shares: £35 and £49. (1 mark)
   2. 1 + 2 + 3 = 6 parts, 90 ÷ 6 = 15. Shares: 15, 30 and 45 sweets. (2 marks)
   3. 4 + 5 = 9 parts, £36 ÷ 9 = £4. Shares £16 and £20. The older sister gets £4 more. (1 mark)

3. Answer to Question 3 (4 marks)

   1. Find one notebook first: £5.20 ÷ 4 = £1.30. Ten cost 10 × £1.30 = £13. (1 mark)
   2. Each centimetre stands for 2 km: 7.5 × 2 = 15 km. (1 mark)
   3. Multiply both sides by the scale factor 3: 4 × 3 = 12 and 7 × 3 = 21. New size: 12 cm by 21 cm. (1 mark)
   4. Work backwards with the map scale: 15 km ÷ 2 km per cm = 7.5 cm. (1 mark)

4. Answer to Question 4 (4 marks)

   1. 10% of £250 is £25, so 30% is 3 × £25 = £75. (1 mark)
   2. 15% of 60 kg = 10% (6 kg) + 5% (3 kg) = 9 kg. New mass: 60 + 9 = 69 kg. (1 mark)
   3. Ali: \(\frac{34}{40}\) = \(\frac{85}{100}\) = 85%. Bea: \(\frac{42}{50}\) = \(\frac{84}{100}\) = 84%. 85% > 84%, so Ali has the higher percentage. (2 marks)

5. Answer to Question 5 (5 marks)

   1. 3 + 2 + 5 = 10 parts. (1 mark)
   2. 4 litres ÷ 10 = 0.4 litres a part. Orange: 3 × 0.4 = 1.2 litres. Apple: 2 × 0.4 = 0.8 litres. Lemonade: 5 × 0.4 = 2 litres. (2 marks)
   3. 5 out of 10 parts, so 50%. (1 mark)
   4. Orange: 1.2 × 1.80 = £2.16. Apple: 0.8 × 1.50 = £1.20. Lemonade: 2 × 0.90 = £1.80. Total = 2.16 + 1.20 + 1.80 = £5.16. (1 mark)

Total : 20 marks