11+ Mathematics Problem Solving 3

Question 1

Convert 0.375 to a fraction in its simplest form.

Accepted Answer

3/8

Answer

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?

Accepted Answer

60 mph

Answer

Average speed = distance ÷ time = 180 ÷ 3 = 60 mph.

Question 3

What is the value of 4² + 3³?

Accepted Answer

43

Answer

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?

Accepted Answer

52 m²

Answer

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?

Accepted Answer

24

Answer

Multiples of 6: 6, 12, 18, 24... Multiples of 8: 8, 16, 24... The lowest common multiple is 24.

11+ Practice Test

11+ Practice Test

11+ Mathematics Problem Solving 3