COOP Cooperative Admissions Mathematics 3 — Questions and Answers
Question 1: A train travels 240 miles in 4 hours. What is its average speed in miles per hour?
- 48 mph
- 60 mph (Correct answer)
- 64 mph
- 56 mph
Correct answer: 60 mph
Speed = distance ÷ time = 240 ÷ 4 = 60 mph.
Question 2: What is the least common multiple (LCM) of 8 and 12?
- 24 (Correct answer)
- 48
- 36
- 96
Correct answer: 24
The LCM of 8 and 12 is 24, since 24 is the smallest number divisible by both.
Question 3: A triangle has a base of 10 in and a height of 6 in. What is its area?
- 60 in²
- 30 in² (Correct answer)
- 16 in²
- 120 in²
Correct answer: 30 in²
Area = ½ × base × height = ½ × 10 × 6 = 30 in².
Question 4: Which number is a prime number?
- 21
- 27
- 37 (Correct answer)
- 51
Correct answer: 37
37 has no factors other than 1 and itself, making it prime.
Question 5: If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many girls are there?
- 32
- 40 (Correct answer)
- 36
- 45
Correct answer: 40
If 3 parts = 24, then 1 part = 8; so 5 parts = 40 girls.
Question 6: Evaluate: (18 − 6) ÷ 3 + 4 × 2
- 12
- 14 (Correct answer)
- 16
- 18
Correct answer: 14
(18 − 6) ÷ 3 + 4 × 2 = 12 ÷ 3 + 8 = 4 + 8 = 12 — wait: 4 + 8 = 12, but re-check: 4 + 10 = 14 — 4 × 2 = 8, 12 ÷ 3 = 4, 4 + 8 = 12… correct answer is 12.
Question 7: A shirt originally costs $45. It is on sale for 20% off. What is the sale price?
- $34
- $36 (Correct answer)
- $38
- $40
Correct answer: $36
20% of $45 = $9 discount; $45 − $9 = $36.
COOP Cooperative Admissions Mathematics 3
A train travels 240 miles in 4 hours.
What is its average speed in miles per hour?