11+ Mathematics Problem Solving 6

Question 1

A cyclist travels at 12 km/h for 45 minutes. How far does she travel?

Accepted Answer

9 km

Answer

45 minutes = 0.75 hours. Distance = speed × time = 12 × 0.75 = 9 km.

Question 2

A square number between 50 and 100 is also a multiple of 4. What is it?

Accepted Answer

64

Answer

Square numbers between 50 and 100: 64 (8²) and 81 (9²). 64 ÷ 4 = 16 (yes), 81 ÷ 4 = 20.25 (no). The answer is 64.

Question 3

A box contains red, blue, and yellow beads in the ratio 2:3:5. If there are 60 beads in total, how many blue beads are there?

Accepted Answer

18

Answer

Total parts = 2 + 3 + 5 = 10. Each part = 60 ÷ 10 = 6. Blue = 3 × 6 = 18 beads.

Question 4

What is the area of a circle with diameter 14 cm? (Use π = 22/7)

Accepted Answer

154 cm²

Answer

Radius = 14 ÷ 2 = 7 cm. Area = π × r² = 22/7 × 49 = 22 × 7 = 154 cm².

Question 5

Solve: 2(3x - 4) = 22

Accepted Answer

5

Answer

2(3x - 4) = 22. Expand: 6x - 8 = 22. Add 8: 6x = 30. Divide by 6: x = 5.

11+ Practice Test