Free KS2 Maths Reasoning Practice Test (10 SATs-Style Questions)

1. A book costs £4.50. How much do 3 books cost?

£12.50 £13.50 £13.00 £14.50

Answer: £4.50 × 3: £4 × 3 = £12 and 50p × 3 = £1.50, so £13.50.

2. Sam shares 48 sweets equally between 6 friends. How many does each friend get?

6 7 8 9

Answer: 48 ÷ 6 = 8, because 6 × 8 = 48.

3. What is 3.6 rounded to the nearest whole number?

3 4 3.5 36

Answer: The tenths digit is 6, which is 5 or more, so round up to 4.

4. A rectangle is 8 cm long and 5 cm wide. What is its perimeter?

13 cm 26 cm 40 cm 21 cm

Answer: Add all four sides: 8 + 5 + 8 + 5 = 26 cm.

5. What is the area of the same 8 cm by 5 cm rectangle?

13 cm² 26 cm² 40 cm² 45 cm²

Answer: Area = length × width = 8 × 5 = 40 cm².

6. It is 3:45 pm. What time will it be in 50 minutes?

4:25 pm 4:35 pm 4:45 pm 3:95 pm

Answer: 15 minutes takes you to 4:00 pm; the remaining 35 minutes gives 4:35 pm.

7. Which number is a multiple of both 4 and 6?

10 12 16 18

Answer: 12 = 4 × 3 and 12 = 6 × 2, so 12 is a common multiple (in fact the lowest one).

8. What is the value of the digit 7 in 4,732?

7 70 700 7,000

Answer: The 7 is in the hundreds column, so it is worth 700.

9. The temperature is −3°C. It rises by 8°C. What is the new temperature?

5°C 11°C −11°C −5°C

Answer: Count up from −3: 3 steps reach 0, 5 more reach 5°C.

10. What is the mean of 4, 6 and 8?

5 6 7 18

Answer: Add them (4 + 6 + 8 = 18) and divide by how many there are (3): 18 ÷ 3 = 6.

About this test

The two KS2 reasoning papers test whether a child can choose the right calculation, not just carry it out. Reading the question carefully and writing down each step is what turns a near-miss into a mark.

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