11+ Mathematics Problem Solving 2

Question 1

What is 15% of £240?

Accepted Answer

£36

Answer

15% of £240 = 0.15 × 240 = £36. Alternatively: 10% = £24, 5% = £12, so 15% = £24 + £12 = £36.

Question 2

A cube has a volume of 64 cm³. What is the length of one edge?

Accepted Answer

4 cm

Answer

Volume of a cube = edge³. So edge = ∛64 = 4 cm (since 4 × 4 × 4 = 64).

Question 3

Simplify the ratio 36:48.

Accepted Answer

3:4

Answer

The highest common factor of 36 and 48 is 12. 36÷12 = 3, 48÷12 = 4. The simplified ratio is 3:4.

Question 4

A pie chart shows that 25% of students walk to school, 40% take the bus, and the rest cycle. If there are 200 students, how many cycle?

Accepted Answer

70

Answer

Walk + bus = 25% + 40% = 65%. Cycle = 100% - 65% = 35%. Number cycling = 35% of 200 = 70 students.

Question 5

What is the area of a triangle with base 14 cm and height 9 cm?

Accepted Answer

63 cm²

Answer

Area of a triangle = ½ × base × height = ½ × 14 × 9 = 63 cm².

11+ Practice Test