11+ Mathematics Problem Solving 2 — Questions and Answers
Question 1: What is 15% of £240?
- £36 (Correct answer)
- £34
- £38
- £32
Correct answer: £36
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?
- 4 cm (Correct answer)
- 8 cm
- 16 cm
- 6 cm
Correct answer: 4 cm
Volume of a cube = edge³. So edge = ∛64 = 4 cm (since 4 × 4 × 4 = 64).
Question 3: Simplify the ratio 36:48.
- 4:6
- 3:4 (Correct answer)
- 6:8
- 9:12
Correct answer: 3:4
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?
- 60
- 70 (Correct answer)
- 80
- 90
Correct answer: 70
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?
- 63 cm² (Correct answer)
- 126 cm²
- 56 cm²
- 72 cm²
Correct answer: 63 cm²
Area of a triangle = ½ × base × height = ½ × 14 × 9 = 63 cm².
Question 6: Emma is 8 years older than her brother. The sum of their ages is 26. How old is Emma?
- 15
- 16
- 17 (Correct answer)
- 18
Correct answer: 17
Let brother's age = x. Emma = x + 8. Sum: x + x + 8 = 26, so 2x = 18, x = 9. Emma = 9 + 8 = 17 years old.
11+ Mathematics Problem Solving 2
What is 15% of £240?