CAST Math 5

Question 1

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

Accepted Answer

10

Answer

By the Pythagorean theorem, √(6² + 8²) = √100 = 10.

Question 2

A solution is mixed 3 parts water to 1 part chemical. How much chemical is in 16 gallons of solution?

Accepted Answer

4 gallons

Answer

The mix has 4 total parts, so 16 ÷ 4 = 4 gallons of chemical.

Question 3

What is the volume of a box 5 ft long, 3 ft wide, and 2 ft high?

Accepted Answer

30 cu ft

Answer

Volume = length × width × height = 5 × 3 × 2 = 30 cubic feet.

Question 4

Convert 2.5 hours into minutes.

Accepted Answer

150 minutes

Answer

2.5 × 60 = 150 minutes.

Question 5

A worker earns $22 per hour plus 1.5 times that rate for 4 overtime hours. What is the overtime pay?

Accepted Answer

$132

Answer

Overtime rate is 22 × 1.5 = $33, and 33 × 4 = $132.

CAST Test Practice Test