11+ Numerical Reasoning 1 — Questions and Answers
Question 1: A shop had a 'Buy 2, Get 1 Free' offer on tins of soup costing £1.20 each. How much would 7 tins cost?
- £5.60
- £6.00 (Correct answer)
- £7.20
- £8.40
Correct answer: £6.00
For every 3 tins, you pay for 2: 7 tins = 2 groups of 3 (pay for 4) + 1 extra. Total = 5 × £1.20 = £6.00.
Question 2: A garden fence has posts every 2 metres. If the fence is 20 metres long, how many posts are needed?
- 10
- 11 (Correct answer)
- 9
- 20
Correct answer: 11
This is a fence post problem: number of posts = (length ÷ spacing) + 1 = (20 ÷ 2) + 1 = 11 posts.
Question 3: A jug holds 1.5 litres. How many 250ml glasses can be filled from it?
- 4
- 5
- 6 (Correct answer)
- 7
Correct answer: 6
1.5 litres = 1500 ml. Number of glasses = 1500 ÷ 250 = 6 glasses.
Question 4: If 8 workers can complete a job in 6 days, how many days would it take 12 workers?
- 3
- 4 (Correct answer)
- 5
- 9
Correct answer: 4
Total work = 8 × 6 = 48 worker-days. With 12 workers: 48 ÷ 12 = 4 days.
Question 5: A thermometer shows -3°C. The temperature rises by 8 degrees. What is the new temperature?
- 5°C (Correct answer)
- 3°C
- -5°C
- 11°C
Correct answer: 5°C
-3 + 8 = 5°C. Starting at -3, count up 8 degrees: -3, -2, -1, 0, 1, 2, 3, 4, 5.
Question 6: A pizza is cut into 8 equal slices. Tom eats 3 slices and Sarah eats 2 slices. What fraction of the pizza is left?
- 1/8
- 2/8
- 3/8 (Correct answer)
- 5/8
Correct answer: 3/8
Total eaten = 3 + 2 = 5 slices. Remaining = 8 - 5 = 3 slices = 3/8 of the pizza.
11+ Numerical Reasoning 1
A shop had a 'Buy 2, Get 1 Free' offer on tins of soup costing £1.20 each.
How much would 7 tins cost?