KS2 SATs Maths Reasoning

Question 1

A shop sells pencils in packs of 8. Mrs Jones needs 50 pencils for her class. How many packs must she buy?

Accepted Answer

7 packs

Answer

50 ÷ 8 = 6 remainder 2. Since she cannot buy a partial pack and needs at least 50, she must buy 7 packs (which gives her 56 pencils).

Question 2

The temperature at midnight was −3°C. By noon it had risen by 11 degrees. What was the temperature at noon?

Accepted Answer

8°C

Answer

Starting at −3°C and adding 11 degrees: −3 + 11 = 8°C.

Question 3

A rectangle has a perimeter of 36 cm. If the length is 12 cm, what is the width?

Accepted Answer

6 cm

Answer

Perimeter = 2 × (length + width). So 36 = 2 × (12 + width), meaning 18 = 12 + width, therefore width = 6 cm.

Question 4

A train leaves London at 09:45 and arrives in Manchester at 12:20. How long is the journey?

Accepted Answer

2 hours 35 minutes

Answer

From 09:45 to 12:20: 09:45 to 12:00 is 2 hours 15 minutes, plus another 20 minutes = 2 hours 35 minutes.

Question 5

Which number is exactly halfway between 3.6 and 4.2?

Accepted Answer

3.9

Answer

To find the halfway point, add the two numbers and divide by 2: (3.6 + 4.2) ÷ 2 = 7.8 ÷ 2 = 3.9.

KS2 SATs Practice Test