College Math Placement Test College Math Placement Measurement 4 — Questions and Answers
Question 1: A rectangular swimming pool is 25 m long, 10 m wide, and 2 m deep. How many liters of water does it hold? (1 m³ = 1000 L)
- 500 L
- 50,000 L
- 500,000 L (Correct answer)
- 5,000 L
Correct answer: 500,000 L
Volume = 25 × 10 × 2 = 500 m³; 500 × 1000 = 500,000 liters.
Question 2: The circumference of a circle is approximately 31.4 cm. What is the radius? (Use π ≈ 3.14)
- 10 cm
- 5 cm (Correct answer)
- 15.7 cm
- 3.14 cm
Correct answer: 5 cm
C = 2πr → r = C/(2π) = 31.4/(2 × 3.14) = 31.4/6.28 = 5 cm.
Question 3: Which unit would be most appropriate for measuring the mass of a paper clip?
- Kilograms
- Grams (Correct answer)
- Milligrams
- Metric tons
Correct answer: Grams
A paper clip has a mass of about 1 gram, making grams the most appropriate unit.
Question 4: A trapezoid has parallel sides of 8 cm and 12 cm and a height of 5 cm. What is its area?
- 50 cm² (Correct answer)
- 100 cm²
- 40 cm²
- 60 cm²
Correct answer: 50 cm²
Area = ½(b₁ + b₂) × h = ½(8 + 12) × 5 = ½ × 20 × 5 = 50 cm².
Question 5: An athlete runs at 8 miles per hour. How long will it take her to run 6 miles?
- 48 minutes
- 45 minutes (Correct answer)
- 54 minutes
- 40 minutes
Correct answer: 45 minutes
Time = distance ÷ speed = 6 ÷ 8 = 0.75 hours = 45 minutes.
Question 6: Convert 3 yards to inches.
- 36 inches
- 72 inches
- 108 inches (Correct answer)
- 90 inches
Correct answer: 108 inches
1 yard = 36 inches, so 3 yards = 3 × 36 = 108 inches.
Question 7: A cube has a side length of 4 cm. What is its surface area?
- 64 cm²
- 96 cm² (Correct answer)
- 48 cm²
- 16 cm²
Correct answer: 96 cm²
A cube has 6 faces; surface area = 6 × s² = 6 × 16 = 96 cm².
College Math Placement Test College Math Placement Measurement 4
A rectangular swimming pool is 25 m long, 10 m wide, and 2 m deep.
How many liters of water does it hold? (1 m³ = 1000 L)