11+ Numerical Reasoning

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?

Accepted Answer

£6.00

Answer

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?

Accepted Answer

11

Answer

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?

Accepted Answer

6

Answer

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?

Accepted Answer

4

Answer

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?

Accepted Answer

5°C

Answer

-3 + 8 = 5°C. Starting at -3, count up 8 degrees: -3, -2, -1, 0, 1, 2, 3, 4, 5.

11+ Practice Test