The four operations, order of operations and long division – Year 6 maths test answers to download as PDF

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1. Answer to Question 1 (3 marks)

   1. 4 718 × 6 = 28 308 and 4 718 × 30 = 141 540. Add: 169 848. (1 mark)
   2. 14 into 29 goes 2 (28), remainder 1. Bring down 1: 14 into 11 goes 0. Bring down 2: 112 ÷ 14 = 8. Answer 208. (1 mark)
   3. 16 × 62 = 992, remainder 8, and 8 ÷ 16 = 0.5. Answer 62.5. (1 mark)

2. Answer to Question 2 (4 marks)

   1. 6 × 4 = 24, so 9 + 24 = 33. (1 mark)
   2. 15 × 4 = 60. (1 mark)
   3. 2² = 4, 18 ÷ 3 = 6, then 30 − 6 + 4 = 28. (1 mark)
   4. (2 + 5) × 3 + 1 = 7 × 3 + 1 = 22. (1 mark)

3. Answer to Question 3 (4 marks)

   1. 1, 2, 4, 5, 8, 10, 20, 40. (1 mark)
   2. Factors of 48 include 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The HCF is 8. (1 mark)
   3. Multiples of 10: 10, 20, 30, ... Multiples of 15: 15, 30, ... The LCM is 30. (1 mark)
   4. 37 and 59 are prime. 39 = 3 × 13, 49 = 7 × 7 and 51 = 3 × 17. (1 mark)

4. Answer to Question 4 (4 marks)

   1. Add the three items: 85 + 40 + 35 = 160p, which is £1.60. (1 mark)
   2. 126 × 160 = 126 × 100 + 126 × 60 = 12 600 + 7 560 = 20 160p = £201.60. (2 marks)
   3. £150 = 15 000p and 15 000 ÷ 160 = 93.75. Only whole lunch boxes count, so round down: 93 boxes (93 × 160p = £148.80). (1 mark)

5. Answer to Question 5 (5 marks)

   1. 215 × 18 = 2 150 + 1 720 = £3 870. (1 mark)
   2. 14 × 24 = £336. (1 mark)
   3. 215 + 14 = 229 people. 229 ÷ 48 = 4 remainder 37, so 4 coaches would leave 37 people behind. We need 5 coaches. (1 mark)
   4. Coaches: 5 × 420 = £2 100. Total: 3 870 + 336 + 2 100 = £6 306. (1 mark)
   5. 6 306 ÷ 215 = 29.33..., so £29.33 each. (1 mark)

Total : 20 marks