College Math Placement Test College Math Placement Measurement 3 — Questions and Answers
Question 1: A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is its volume? (Use π ≈ 3.14)
- 141.3 m³ (Correct answer)
- 47.1 m³
- 94.2 m³
- 282.6 m³
Correct answer: 141.3 m³
Volume = πr²h = 3.14 × 9 × 5 = 141.3 m³.
Question 2: Which measurement is the most precise?
- 5 meters
- 5.0 meters
- 5.00 meters
- 5.000 meters (Correct answer)
Correct answer: 5.000 meters
More decimal places indicate greater precision; 5.000 meters has four significant figures.
Question 3: A map has a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, what is the actual distance?
- 53.5 miles
- 175 miles (Correct answer)
- 150 miles
- 200 miles
Correct answer: 175 miles
Actual distance = 3.5 × 50 = 175 miles.
Question 4: Convert 45°F to Celsius using the formula C = (F − 32) × 5/9.
- 7.2°C (Correct answer)
- 13°C
- 25°C
- 4.4°C
Correct answer: 7.2°C
C = (45 − 32) × 5/9 = 13 × 5/9 = 65/9 ≈ 7.2°C.
Question 5: What is the volume of a rectangular box that is 4 ft long, 3 ft wide, and 2 ft tall?
- 18 ft³
- 24 ft³ (Correct answer)
- 26 ft³
- 9 ft³
Correct answer: 24 ft³
Volume = l × w × h = 4 × 3 × 2 = 24 ft³.
Question 6: A runner completes a 5-kilometer race in 25 minutes. What is her average speed in km per hour?
- 5 km/h
- 10 km/h
- 12 km/h (Correct answer)
- 15 km/h
Correct answer: 12 km/h
Speed = 5 km ÷ (25/60) hr = 5 × (60/25) = 12 km/h.
Question 7: How many grams are in 3.5 kilograms?
- 350 g
- 35 g
- 3500 g (Correct answer)
- 0.0035 g
Correct answer: 3500 g
1 kg = 1000 g, so 3.5 kg × 1000 = 3500 g.
College Math Placement Test College Math Placement Measurement 3
A cylindrical tank has a radius of 3 meters and a height of 5 meters.
What is its volume? (Use π ≈ 3.14)