COOP Cooperative Admissions Mathematics 4 — Questions and Answers
Question 1: On a number line, what is the distance between −7 and 5?
- 2
- 7
- 12 (Correct answer)
- −2
Correct answer: 12
Distance = |5 − (−7)| = |5 + 7| = 12.
Question 2: A recipe calls for 2½ cups of flour. If you want to make 3 times the recipe, how much flour do you need?
- 6 cups
- 6½ cups
- 7 cups
- 7½ cups (Correct answer)
Correct answer: 7½ cups
2½ × 3 = 5/2 × 3 = 15/2 = 7½ cups.
Question 3: What is the median of the data set: 3, 8, 5, 12, 7?
- 5
- 7 (Correct answer)
- 8
- 12
Correct answer: 7
Arranged in order: 3, 5, 7, 8, 12 — the middle value is 7.
Question 4: A circle has a radius of 5 cm. What is its area? (Use π ≈ 3.14)
- 31.4 cm²
- 78.5 cm² (Correct answer)
- 15.7 cm²
- 62.8 cm²
Correct answer: 78.5 cm²
Area = π × r² = 3.14 × 25 = 78.5 cm².
Question 5: Simplify: (4x + 2) − (x − 3)
- 3x − 1
- 3x + 5 (Correct answer)
- 5x − 1
- 5x + 5
Correct answer: 3x + 5
4x + 2 − x + 3 = 3x + 5.
Question 6: A car uses 3 gallons of gas to travel 90 miles. At the same rate, how many miles can it travel on 7 gallons?
- 180 miles
- 200 miles
- 210 miles (Correct answer)
- 240 miles
Correct answer: 210 miles
Rate = 90 ÷ 3 = 30 mpg; 30 × 7 = 210 miles.
Question 7: What is the greatest common factor (GCF) of 36 and 48?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
Factors of 36: 1,2,3,4,6,9,12,18,36; factors of 48: 1,2,3,4,6,8,12,16,24,48; GCF = 12.
COOP Cooperative Admissions Mathematics 4
On a number line, what is the distance between −7 and 5?