College Math Placement Test College Math Placement Measurement 5

Question 1

A right triangle has legs of 6 inches and 8 inches. What is the length of the hypotenuse?

Accepted Answer

10 inches

Answer

Hypotenuse = √(6² + 8²) = √(36 + 64) = √100 = 10 inches.

Question 2

How many ounces are in 4 pounds?

Accepted Answer

64 oz

Answer

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)

Accepted Answer

28.26 cm²

Answer

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?

Accepted Answer

25 m²

Answer

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)

Accepted Answer

About 3.2 cups

Answer

750 ÷ 237 ≈ 3.16 cups, which is approximately 3.2 cups.

College Math Placement Test Practice Test