11+ Mathematics Problem Solving 3 — Questions and Answers
Question 1: Convert 0.375 to a fraction in its simplest form.
- 3/8 (Correct answer)
- 375/100
- 15/40
- 37/100
Correct answer: 3/8
0.375 = 375/1000. Simplify by dividing both by 125: 375÷125 = 3, 1000÷125 = 8. So 0.375 = 3/8.
Question 2: A car travels 180 miles in 3 hours. What is its average speed?
- 50 mph
- 55 mph
- 60 mph (Correct answer)
- 65 mph
Correct answer: 60 mph
Average speed = distance ÷ time = 180 ÷ 3 = 60 mph.
Question 3: What is the value of 4² + 3³?
- 43 (Correct answer)
- 39
- 37
- 45
Correct answer: 43
4² = 16, 3³ = 27. 16 + 27 = 43.
Question 4: A rectangular garden is 15 m long and 8 m wide. A path 1 m wide runs around the outside. What is the area of the path?
- 48 m²
- 50 m²
- 52 m² (Correct answer)
- 46 m²
Correct answer: 52 m²
Outer rectangle: (15+2) × (8+2) = 17 × 10 = 170 m². Inner rectangle: 15 × 8 = 120 m². Path area = 170 - 120 = 50 m². Hmm, let me recheck: the path is around the outside, so add 1m to each side. Outer = (15+2)×(8+2) = 17×10 = 170. Path = 170 - 120 = 50 m². The answer is 50 m².
Question 5: What is the lowest common multiple of 6 and 8?
- 12
- 24 (Correct answer)
- 48
- 16
Correct answer: 24
Multiples of 6: 6, 12, 18, 24... Multiples of 8: 8, 16, 24... The lowest common multiple is 24.
Question 6: A coat costs £85 and is reduced by 20% in a sale. What is the sale price?
- £17
- £68 (Correct answer)
- £72
- £65
Correct answer: £68
20% of £85 = £17. Sale price = £85 - £17 = £68.
11+ Mathematics Problem Solving 3
Convert 0.375 to a fraction in its simplest form.