FCTC Test Firefighter Mathematical Problems Questions and Answers 4 — Questions and Answers
Question 1: A pump discharges 180 gallons per minute from a 1,200-gallon tank. How many minutes until the tank is empty?
- 5 minutes
- 6 minutes (Correct answer)
- 7 minutes
- 8 minutes
Correct answer: 6 minutes
1,200 ÷ 180 = 6.67, so approximately 6 full minutes before the tank is empty.
Question 2: A fire crew of 8 firefighters completes a task in 3 hours. How long would it take 12 firefighters to complete the same task?
- 1.5 hours
- 2 hours (Correct answer)
- 2.5 hours
- 4 hours
Correct answer: 2 hours
Total work = 8 × 3 = 24 person-hours; 24 ÷ 12 = 2 hours.
Question 3: A fire station's monthly water bill averages $340. What is the annual water bill?
- $3,740
- $4,080 (Correct answer)
- $4,320
- $4,500
Correct answer: $4,080
$340 × 12 = $4,080 per year.
Question 4: Hose friction loss is calculated as 2 PSI per 100 feet of 2½-inch hose. What is the friction loss for 350 feet of hose?
- 5 PSI
- 6 PSI
- 7 PSI (Correct answer)
- 8 PSI
Correct answer: 7 PSI
2 × (350/100) = 2 × 3.5 = 7 PSI.
Question 5: A firefighter's SCBA air cylinder holds 45 cubic feet of air. At a breathing rate consuming 1.5 cubic feet per minute, how long will the air last?
- 25 minutes
- 30 minutes (Correct answer)
- 35 minutes
- 40 minutes
Correct answer: 30 minutes
45 ÷ 1.5 = 30 minutes of air supply.
Question 6: A department responds to 2,160 calls per year. What is the average number of calls per day?
- 5
- 6 (Correct answer)
- 7
- 8
Correct answer: 6
2,160 ÷ 365 ≈ 5.92, which rounds to approximately 6 calls per day.
Question 7: A training tower floor plan measures 25 feet by 40 feet. If a new floor adds 15% more area, what is the new total area?
- 1,000 sq ft
- 1,075 sq ft
- 1,115 sq ft
- 1,150 sq ft (Correct answer)
Correct answer: 1,150 sq ft
Original area = 25 × 40 = 1,000 sq ft; 1,000 × 1.15 = 1,150 sq ft.
FCTC Test Firefighter Mathematical Problems Questions and Answers 4
A pump discharges 180 gallons per minute from a 1,200-gallon tank.
How many minutes until the tank is empty?