CAST Math 2 — Questions and Answers
Question 1: A crew lays 480 feet of cable in 8 hours. At this rate, how many feet do they lay in 5 hours?
- 240
- 300 (Correct answer)
- 320
- 360
Correct answer: 300
480 ÷ 8 = 60 feet per hour, and 60 × 5 = 300 feet.
Question 2: What is 35% of 220?
- 66
- 70
- 77 (Correct answer)
- 85
Correct answer: 77
0.35 × 220 = 77.
Question 3: A transformer steps voltage down by a 4:1 ratio. If the input is 480 volts, what is the output?
- 96 volts
- 120 volts (Correct answer)
- 160 volts
- 240 volts
Correct answer: 120 volts
480 ÷ 4 = 120 volts.
Question 4: Solve for x: 3x - 7 = 20.
- 7
- 8
- 9 (Correct answer)
- 11
Correct answer: 9
Add 7 to get 3x = 27, then divide by 3 to get x = 9.
Question 5: A tank holds 150 gallons and drains at 12.5 gallons per minute. How long until it is empty?
- 10 minutes
- 12 minutes (Correct answer)
- 14 minutes
- 15 minutes
Correct answer: 12 minutes
150 ÷ 12.5 = 12 minutes.
Question 6: What is the area of a rectangle 14 feet long and 9 feet wide?
- 46 sq ft
- 112 sq ft
- 126 sq ft (Correct answer)
- 130 sq ft
Correct answer: 126 sq ft
Area = length × width = 14 × 9 = 126 square feet.
Question 7: If 6 workers complete a job in 10 days, how many days would 4 workers take at the same pace?
- 12 days
- 13 days
- 15 days (Correct answer)
- 16 days
Correct answer: 15 days
Total work is 60 worker-days, so 60 ÷ 4 = 15 days.
A crew lays 480 feet of cable in 8 hours.
At this rate, how many feet do they lay in 5 hours?