FCTC FCTC Test Firefighter Mathematical Problems Questions and Answers 3 — Questions and Answers
Question 1: A hose discharges 125 gallons per minute. How many gallons are discharged in 48 minutes?
- 5,600 gallons
- 6,000 gallons (Correct answer)
- 5,900 gallons
- 6,200 gallons
Correct answer: 6,000 gallons
125 × 48 = 6,000 gallons.
Question 2: A ladder is placed so its base is 8 feet from a wall and reaches 15 feet up the wall. What is the length of the ladder?
- 16 feet
- 17 feet (Correct answer)
- 18 feet
- 19 feet
Correct answer: 17 feet
Using the Pythagorean theorem: √(8² + 15²) = √(64 + 225) = √289 = 17 feet.
Question 3: A fire engine tank holds 500 gallons. If the pump discharges water at 250 GPM, how long (in minutes) before the tank is empty?
- 1 minute
- 2 minutes (Correct answer)
- 3 minutes
- 4 minutes
Correct answer: 2 minutes
500 ÷ 250 = 2 minutes.
Question 4: A building is 60 feet tall. If a firefighter can climb 12 feet per minute, how long will it take to reach the top?
- 3 minutes
- 4 minutes
- 5 minutes (Correct answer)
- 6 minutes
Correct answer: 5 minutes
60 ÷ 12 = 5 minutes.
Question 5: A fire station responds to 84 calls in 4 weeks. What is the average number of calls per day (7-day week)?
- 2 calls
- 3 calls (Correct answer)
- 4 calls
- 5 calls
Correct answer: 3 calls
84 calls ÷ 28 days = 3 calls per day.
Question 6: A foam concentrate must be mixed at 3% concentration. How many gallons of concentrate are needed for 200 gallons of solution?
- 4 gallons
- 5 gallons
- 6 gallons (Correct answer)
- 7 gallons
Correct answer: 6 gallons
3% of 200 = 0.03 × 200 = 6 gallons.
Question 7: A hose line loses 10 PSI of pressure for every 100 feet of hose. What is the total pressure loss for 350 feet of hose?
- 25 PSI
- 30 PSI
- 35 PSI (Correct answer)
- 40 PSI
Correct answer: 35 PSI
350 ÷ 100 × 10 = 35 PSI of friction loss.
FCTC FCTC Test Firefighter Mathematical Problems Questions and Answers 3
A hose discharges 125 gallons per minute.
How many gallons are discharged in 48 minutes?