11+ Numerical Reasoning 4

Question 1

A shop sells apples in bags of 6 and oranges in bags of 4. What is the smallest number of each you must buy to have equal numbers of apples and oranges?

Accepted Answer

12 of each

Answer

LCM of 6 and 4 = 12. You need 2 bags of apples (12) and 3 bags of oranges (12) to have 12 of each.

Question 2

A bus arrives every 12 minutes. The first bus arrives at 07:05. What time does the fourth bus arrive?

Accepted Answer

07:41

Answer

First bus: 07:05. Second: 07:17. Third: 07:29. Fourth: 07:41. Each bus is 12 minutes after the previous one. Alternatively: 3 intervals × 12 = 36 minutes after 07:05 = 07:41.

Question 3

A square field has a perimeter of 200 metres. What is its area in square metres?

Accepted Answer

2,500 m²

Answer

Side = 200 ÷ 4 = 50 m. Area = 50 × 50 = 2,500 m².

Question 4

Tom saves £5 in week 1, £10 in week 2, £15 in week 3, and so on. How much has he saved in total after 8 weeks?

Accepted Answer

£180

Answer

He saves £5n in week n. Total = 5(1+2+3+4+5+6+7+8) = 5 × 36 = £180.

Question 5

A drink is made by mixing juice and water in the ratio 1:4. How much water is needed to make 2 litres of drink?

Accepted Answer

1.6 litres

Answer

Total parts = 1 + 4 = 5. Water = 4/5 × 2 = 1.6 litres.

11+ Practice Test

11+ Practice Test

11+ Numerical Reasoning 4