Metric and imperial units, perimeter, area and volume – Year 5 maths test answers to download as PDF

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1. Answer to Question 1 (4 marks)

   (a) 1 km = 1,000 m, so 4.2 × 1,000 = 4,200 m. (1 mark)

   (b) 100 cm = 1 m, so 650 ÷ 100 = 6.5 m. (1 mark)

   (c) 1,000 g = 1 kg, so 3,500 ÷ 1,000 = 3.5 kg. (1 mark)

   (d) 1 litre = 1,000 ml, so 0.8 × 1,000 = 800 ml. (1 mark)

2. Answer to Question 2 (4 marks)

   (a) 2 × (14 + 9) = 2 × 23 = 46 m. (2 marks)

   (b) 14 × 9 = 126 m². (1 mark)

   (c) 126 m² needs 13 lots of 10 m² (12.6 rounded up) so 13 × £2 = £26. (1 mark)

3. Answer to Question 3 (4 marks)

   (a) 12 × 9 = 108 cm². (1 mark)

   (b) 5 × 4 = 20 cm². (1 mark)

   (c) 108 − 20 = 88 cm². (1 mark)

   (d) Cutting a corner does not change the perimeter: 2 × (12 + 9) = 42 cm. (1 mark)

4. Answer to Question 4 (3 marks)

   (a) One layer holds 5 × 3 = 15 cubes and there are 2 layers: 15 × 2 = 30 cm³. (1 mark)

   (b) 1 inch is about 2.5 cm, so 4 inches are about 4 × 2.5 = 10 cm. (1 mark)

   (c) 8 km is about 5 miles. 24 km is 3 lots of 8 km, so about 3 × 5 = 15 miles. (1 mark)

5. Answer to Question 5 (5 marks)

   (a) 9 × 7 = 63 m². (1 mark)

   (b) 63 × 14 = 630 + 252 = £882. (2 marks)

   (c) 2 × (9 + 7) = 32 m. (1 mark)

   (d) 32 ÷ 10 = 3.2, so 4 rolls. (1 mark)

Total : 20 marks