11+ Mathematics Problem Solving 4

Question 1

What is the sum of all interior angles in a hexagon?

Accepted Answer

720°

Answer

Sum of interior angles = (n - 2) × 180° = (6 - 2) × 180° = 4 × 180° = 720°.

Question 2

A school has 450 pupils. 2/5 are boys. How many girls are there?

Accepted Answer

270

Answer

Boys = 2/5 × 450 = 180. Girls = 450 - 180 = 270.

Question 3

Express 7/20 as a percentage.

Accepted Answer

35%

Answer

7/20 = 7 × 5 / (20 × 5) = 35/100 = 35%.

Question 4

A water tank holds 350 litres. It is 3/7 full. How many more litres are needed to fill it?

Accepted Answer

200 litres

Answer

Currently has 3/7 × 350 = 150 litres. Remaining = 350 - 150 = 200 litres needed.

Question 5

What are the coordinates of the midpoint between (2, 8) and (10, 4)?

Accepted Answer

(6, 6)

Answer

Midpoint = ((2+10)/2, (8+4)/2) = (12/2, 12/2) = (6, 6).

11+ Practice Test