College Math Placement Test College Math Placement Measurement 4

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)

Accepted Answer

500,000 L

Answer

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)

Accepted Answer

5 cm

Answer

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?

Accepted Answer

Grams

Answer

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?

Accepted Answer

50 cm²

Answer

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?

Accepted Answer

45 minutes

Answer

Time = distance ÷ speed = 6 ÷ 8 = 0.75 hours = 45 minutes.

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