KS2 SATs Maths Reasoning — Questions and Answers
Question 1: A shop sells pencils in packs of 8. Mrs Jones needs 50 pencils for her class. How many packs must she buy?
- 6 packs
- 7 packs (Correct answer)
- 8 packs
- 5 packs
Correct answer: 7 packs
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?
- 8°C (Correct answer)
- 14°C
- 7°C
- −14°C
Correct answer: 8°C
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?
- 24 cm
- 8 cm
- 6 cm (Correct answer)
- 12 cm
Correct answer: 6 cm
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?
- 2 hours 25 minutes
- 2 hours 35 minutes (Correct answer)
- 3 hours 35 minutes
- 2 hours 45 minutes
Correct answer: 2 hours 35 minutes
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?
- 3.8
- 3.9 (Correct answer)
- 4.0
- 3.7
Correct answer: 3.9
To find the halfway point, add the two numbers and divide by 2: (3.6 + 4.2) ÷ 2 = 7.8 ÷ 2 = 3.9.
Question 6: A bag contains 3 red, 5 blue and 2 green marbles. What fraction of the marbles are blue?
- 5/8
- 5/10
- 1/2 (Correct answer)
- 3/10
Correct answer: 1/2
Total marbles = 3 + 5 + 2 = 10. Blue marbles = 5. Fraction = 5/10 = 1/2.
A shop sells pencils in packs of 8.
Mrs Jones needs 50 pencils for her class.
How many packs must she buy?