USA Occupational Math Assessment 2 — Questions and Answers
Question 1: A worker earns $18.50 per hour and works 42 hours in a week. The first 40 hours are paid at regular rate; hours beyond 40 are paid at 1.5× rate. What is the worker's total gross pay?
- $740.00
- $777.00
- $795.50 (Correct answer)
- $814.00
Correct answer: $795.50
Regular pay: 40 × $18.50 = $740; overtime pay: 2 × $27.75 = $55.50; total = $795.50.
Question 2: A storage tank holds 2,400 gallons when full. It is currently 35% full. How many gallons are needed to fill it completely?
- 840 gallons
- 1,560 gallons (Correct answer)
- 1,680 gallons
- 2,065 gallons
Correct answer: 1,560 gallons
Current volume = 2,400 × 0.35 = 840 gallons; needed = 2,400 − 840 = 1,560 gallons.
Question 3: A machinist needs to cut a 96-inch rod into pieces that are each 7.5 inches long. How many complete pieces can be cut, and how much material is left over?
- 12 pieces, 6 inches (Correct answer)
- 12 pieces, 8 inches
- 13 pieces, 1.5 inches
- 13 pieces, 3 inches
Correct answer: 12 pieces, 6 inches
96 ÷ 7.5 = 12.8, so 12 complete pieces; remainder = 96 − (12 × 7.5) = 96 − 90 = 6 inches.
Question 4: An electrician uses 3 rolls of wire. Roll A is 75 feet, Roll B is 48.5 feet, and Roll C is 63.25 feet. What is the total length of wire used?
- 185.75 feet
- 186.50 feet
- 186.75 feet (Correct answer)
- 187.25 feet
Correct answer: 186.75 feet
75 + 48.5 + 63.25 = 186.75 feet.
Question 5: A blueprint is drawn at a scale of 1 inch = 4 feet. A wall measured on the blueprint is 6.5 inches long. What is the actual length of the wall?
- 10.5 feet
- 24 feet
- 26 feet (Correct answer)
- 32 feet
Correct answer: 26 feet
Actual length = 6.5 × 4 = 26 feet.
Question 6: A production line fills 480 bottles per hour. Due to maintenance, the line runs at 75% efficiency for one 8-hour shift. How many bottles are filled during that shift?
- 2,400
- 2,880 (Correct answer)
- 3,200
- 3,840
Correct answer: 2,880
Effective rate = 480 × 0.75 = 360 bottles/hour; total = 360 × 8 = 2,880 bottles.
Question 7: A truck travels 312 miles on 13 gallons of fuel. At the same fuel efficiency, how many gallons are needed for a 480-mile trip?
- 18 gallons
- 20 gallons (Correct answer)
- 22 gallons
- 24 gallons
Correct answer: 20 gallons
MPG = 312 ÷ 13 = 24; gallons needed = 480 ÷ 24 = 20 gallons.
USA Occupational Math Assessment 2
A worker earns $18.50 per hour and works 42 hours in a week.
The first 40 hours are paid at regular rate; hours beyond 40 are paid at 1.5× rate.
What is the worker's total gross pay?