COOP Cooperative Admissions Mathematics 5 — Questions and Answers
Question 1: Which of the following inequalities is true?
- −3 > −1
- 0.5 > 3/5
- 7/8 > 0.9
- −2 < 0 (Correct answer)
Correct answer: −2 < 0
−2 is to the left of 0 on the number line, so −2 < 0 is true.
Question 2: A rectangular pool is 25 m long and 10 m wide. What volume of water can it hold if it is 2 m deep?
- 250 m³
- 350 m³
- 500 m³ (Correct answer)
- 700 m³
Correct answer: 500 m³
Volume = length × width × depth = 25 × 10 × 2 = 500 m³.
Question 3: A student scored 72, 85, 90, 68, and 80 on five tests. What is the average score?
- 77
- 79 (Correct answer)
- 80
- 83
Correct answer: 79
(72 + 85 + 90 + 68 + 80) ÷ 5 = 395 ÷ 5 = 79.
Question 4: If a map has a scale of 1 inch = 50 miles, how many miles does 3.5 inches represent?
- 125 miles
- 150 miles
- 175 miles (Correct answer)
- 200 miles
Correct answer: 175 miles
3.5 × 50 = 175 miles.
Question 5: Which expression is equivalent to 2(3x − 5)?
- 6x − 5
- 5x − 10
- 6x − 10 (Correct answer)
- 6x + 10
Correct answer: 6x − 10
Distribute: 2 × 3x = 6x and 2 × (−5) = −10, giving 6x − 10.
Question 6: A store sells 3 cans of soup for $4.50. How much would 10 cans cost?
- $13.50
- $14.00
- $15.00 (Correct answer)
- $16.50
Correct answer: $15.00
Price per can = $4.50 ÷ 3 = $1.50; 10 × $1.50 = $15.00.
Question 7: On a coordinate plane, a line passes through (0, 3) and (4, 7). What is the slope of the line?
- ½
- 1 (Correct answer)
- 2
- 4
Correct answer: 1
Slope = (7 − 3) ÷ (4 − 0) = 4 ÷ 4 = 1.
Which of the following inequalities is true?