11+ Numerical Reasoning 4 — Questions and Answers
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?
- 12 of each (Correct answer)
- 24 of each
- 6 of each
- 8 of each
Correct answer: 12 of each
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?
- 07:41 (Correct answer)
- 07:29
- 07:53
- 07:36
Correct answer: 07:41
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?
- 2,500 m² (Correct answer)
- 10,000 m²
- 5,000 m²
- 400 m²
Correct answer: 2,500 m²
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?
- £160
- £180 (Correct answer)
- £200
- £40
Correct answer: £180
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?
- 1.2 litres
- 1.4 litres
- 1.6 litres (Correct answer)
- 1.8 litres
Correct answer: 1.6 litres
Total parts = 1 + 4 = 5. Water = 4/5 × 2 = 1.6 litres.
Question 6: The temperature at 6 AM was -4°C. By noon it was 9°C. By how many degrees did the temperature rise?
- 5°C
- 9°C
- 13°C (Correct answer)
- 15°C
Correct answer: 13°C
Rise = 9 - (-4) = 9 + 4 = 13°C.
11+ Numerical Reasoning 4
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?