OC Mathematical Reasoning 3 — Questions and Answers
Question 1: A number is multiplied by 6 and then 15 is subtracted to give 45. What is the number?
- 8
- 9
- 10 (Correct answer)
- 11
Correct answer: 10
6n − 15 = 45, so 6n = 60, giving n = 10.
Question 2: What is 15% of 200?
- 20
- 25
- 30 (Correct answer)
- 35
Correct answer: 30
15% of 200 = 0.15 × 200 = 30.
Question 3: A square has a perimeter of 36 cm. What is its area?
- 64 sq cm
- 81 sq cm (Correct answer)
- 100 sq cm
- 121 sq cm
Correct answer: 81 sq cm
Side = 36 ÷ 4 = 9 cm, Area = 9² = 81 sq cm.
Question 4: What comes next in the pattern: 2, 5, 10, 17, ___?
- 24
- 25
- 26 (Correct answer)
- 27
Correct answer: 26
The differences between consecutive terms increase by 2 each time (3, 5, 7, 9...), so 17 + 9 = 26.
Question 5: If it takes 5 workers 8 days to complete a job, how many days would 10 workers take?
- 2
- 3
- 4 (Correct answer)
- 5
Correct answer: 4
10 workers is double, so they take half the time: 8 ÷ 2 = 4 days.
Question 6: What is 0.25 expressed as a fraction in simplest form?
- 1/2
- 1/4 (Correct answer)
- 2/5
- 1/5
Correct answer: 1/4
0.25 = 25/100 = 1/4 when simplified.
A number is multiplied by 6 and then 15 is subtracted to give 45.
What is the number?