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FCTC Firefighter Math Applications Questions and Answers Flashcards

7 cards from real FCTC practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 FCTC Firefighter Math Applications Questions and Answers flashcards as text

  1. A hose line flows 150 gallons per minute (GPM). How many gallons will be discharged in 8 minutes?

    Answer: 1,200 gallons

    150 GPM × 8 minutes = 1,200 gallons discharged.

  2. A building is 45 feet tall. If a ladder must extend 3 feet above the roofline, what is the minimum working length of ladder needed?

    Answer: 48 feet

    45 feet + 3 feet extension above roofline = 48 feet minimum ladder length.

  3. A pumper truck has a 500-gallon tank. If water is being used at 75 GPM, approximately how many minutes will the tank last?

    Answer: 6 minutes

    500 gallons ÷ 75 GPM ≈ 6.67 minutes, which rounds to approximately 6 minutes of supply.

  4. A fire crew must carry hose sections up 6 flights of stairs. Each flight is 12 feet high. What is the total vertical distance climbed?

    Answer: 72 feet

    6 flights × 12 feet per flight = 72 feet total vertical distance.

  5. A rectangular ventilation opening measures 4 feet by 3 feet. What is its area?

    Answer: 12 square feet

    Area = length × width = 4 ft × 3 ft = 12 square feet.

  6. A fire station receives a call at 14:37 and the crew arrives on scene at 14:52. What is the response time in minutes?

    Answer: 15 minutes

    14:52 − 14:37 = 15 minutes response time.

  7. Nozzle pressure is 50 psi and friction loss in the hose is 18 psi per 100 feet. For a 300-foot hose lay, what is the required pump discharge pressure?

    Answer: 104 psi

    Friction loss = 18 psi × 3 (for 300 ft) = 54 psi; pump pressure = 50 + 54 = 104 psi.