11+ Mathematics Problem Solving 6 — Questions and Answers
Question 1: A cyclist travels at 12 km/h for 45 minutes. How far does she travel?
- 8 km
- 9 km (Correct answer)
- 10 km
- 11 km
Correct answer: 9 km
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?
- 64 (Correct answer)
- 81
- 49
- 100
Correct answer: 64
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?
- 12
- 15
- 18 (Correct answer)
- 20
Correct answer: 18
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)
- 154 cm² (Correct answer)
- 44 cm²
- 616 cm²
- 308 cm²
Correct answer: 154 cm²
Radius = 14 ÷ 2 = 7 cm. Area = π × r² = 22/7 × 49 = 22 × 7 = 154 cm².
Question 5: Solve: 2(3x - 4) = 22
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
2(3x - 4) = 22. Expand: 6x - 8 = 22. Add 8: 6x = 30. Divide by 6: x = 5.
Question 6: A map has a scale of 1:50,000. Two towns are 8 cm apart on the map. What is the actual distance in km?
- 2 km
- 3 km
- 4 km (Correct answer)
- 5 km
Correct answer: 4 km
8 cm × 50,000 = 400,000 cm = 4,000 m = 4 km.
11+ Mathematics Problem Solving 6
A cyclist travels at 12 km/h for 45 minutes.
How far does she travel?