OC Numerical Reasoning and Number Patterns 3

Question 1

A snail climbs 3 metres during the day and slides back 1 metre at night. How many days does it take to reach 10 metres?

Accepted Answer

5 days

Answer

Net gain is 2 m/day; after 4 days it is at 8 m, then on day 5 it climbs 3 m to reach 11 m ≥ 10 m — 5 days.

Question 2

Which set of numbers has a mean of 12?

Accepted Answer

8, 10, 14, 16

Answer

(8 + 10 + 14 + 16) ÷ 4 = 48 ÷ 4 = 12.

Question 3

What is the median of: 3, 7, 9, 15, 21?

Accepted Answer

9

Answer

The median is the middle value of an ordered list; here it is 9.

Question 4

A number is multiplied by itself and the result is 196. What is the number?

Accepted Answer

14

Answer

14 × 14 = 196, so the number is 14.

Question 5

What is the HCF (highest common factor) of 36 and 48?

Accepted Answer

12

Answer

Factors of 36: 1,2,3,4,6,9,12,18,36; factors of 48: 1,2,3,4,6,8,12,16,24,48; HCF = 12.

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