Converting units, area, perimeter and volume – Year 6 maths test answers to download as PDF

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1. Answer to Question 1 (3 marks)

   1. 1 km = 1 000 m: 4.2 × 1 000 = 4 200 m. (1 mark)
   2. 1 000 ml = 1 litre: 3 500 ÷ 1 000 = 3.5 litres. (1 mark)
   3. 20 miles is 4 lots of 5 miles, and each 5 miles is about 8 km: 4 × 8 = about 32 km. (1 mark)

2. Answer to Question 2 (4 marks)

   1. Perimeter = 14 + 9 + 14 + 9 = 46 m. (1 mark)
   2. Area = length × width = 14 × 9 = 126 m². (1 mark)
   3. The patio covers 4 × 4 = 16 m², so 126 − 16 = 110 m² is left. (1 mark)
   4. 110 × £3.50 = 110 × £3 + 110 × £0.50 = £330 + £55 = £385. (1 mark)

3. Answer to Question 3 (4 marks)

   1. Triangle area = half of base × height: 10 × 7 = 70 and half is 35 cm². (1 mark)
   2. Parallelogram area = base × perpendicular height: 12 × 5 = 60 cm². (1 mark)
   3. The triangle must also have area 60: \(\frac{1}{2}\times15\times h=60\), so \(7.5h=60\) and \(h=60\div7.5=\) 8 cm. (2 marks)

4. Answer to Question 4 (4 marks)

   1. 8 × 5 × 4 = 160 cm³. (1 mark)
   2. 5 × 5 × 5 = 125, so the edge is 5 cm. (1 mark)
   3. 40 × 25 × 20 = 20 000 cm³ = 20 litres. (1 mark)
   4. 40 × 25 × 16 = 16 000 cm³ = 16 litres. (1 mark)

5. Answer to Question 5 (5 marks)

   1. \(V=20\times8\times1.5=\) 240 m³. (1 mark)
   2. 240 × 1 000 = 240 000 litres. (1 mark)
   3. 240 000 ÷ 2 000 = 120 minutes = 2 hours. (1 mark)
   4. Bottom: 20 × 8 = 160 m². Two long sides: 2 × 20 × 1.5 = 60 m². Two short sides: 2 × 8 × 1.5 = 24 m². Total = 160 + 60 + 24 = 244 m². (2 marks)

Total : 20 marks