College Math Placement Test College Math Placement Measurement 5 — Questions and Answers
Question 1: A right triangle has legs of 6 inches and 8 inches. What is the length of the hypotenuse?
- 14 inches
- 10 inches (Correct answer)
- 12 inches
- 7 inches
Correct answer: 10 inches
Hypotenuse = √(6² + 8²) = √(36 + 64) = √100 = 10 inches.
Question 2: How many ounces are in 4 pounds?
- 48 oz
- 64 oz (Correct answer)
- 32 oz
- 72 oz
Correct answer: 64 oz
1 pound = 16 ounces, so 4 × 16 = 64 ounces.
Question 3: A sector of a circle has a central angle of 90° and a radius of 6 cm. What is the area of the sector? (Use π ≈ 3.14)
- 28.26 cm² (Correct answer)
- 113.04 cm²
- 56.52 cm²
- 9.42 cm²
Correct answer: 28.26 cm²
Area = (90/360) × π r² = 0.25 × 3.14 × 36 = 28.26 cm².
Question 4: If the scale on a blueprint is 1 cm = 2.5 meters, what does an area of 4 cm² on the blueprint represent in real life?
- 10 m²
- 25 m² (Correct answer)
- 6.25 m²
- 100 m²
Correct answer: 25 m²
Linear scale factor = 2.5, so area scale factor = 2.5² = 6.25; 4 × 6.25 = 25 m².
Question 5: A recipe requires 750 mL of milk. How many cups is this? (1 cup ≈ 237 mL)
- About 2.2 cups
- About 3.2 cups (Correct answer)
- About 4.5 cups
- About 1.8 cups
Correct answer: About 3.2 cups
750 ÷ 237 ≈ 3.16 cups, which is approximately 3.2 cups.
Question 6: What is the surface area of a rectangular prism with length 5 m, width 3 m, and height 2 m?
- 30 m²
- 62 m² (Correct answer)
- 31 m²
- 60 m²
Correct answer: 62 m²
SA = 2(lw + lh + wh) = 2(15 + 10 + 6) = 2(31) = 62 m².
Question 7: A car travels 240 miles using 8 gallons of gas. What is the fuel efficiency in miles per gallon?
- 30 mpg (Correct answer)
- 32 mpg
- 28 mpg
- 24 mpg
Correct answer: 30 mpg
Fuel efficiency = 240 miles ÷ 8 gallons = 30 miles per gallon.
College Math Placement Test College Math Placement Measurement 5
A right triangle has legs of 6 inches and 8 inches.
What is the length of the hypotenuse?