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FCTC Firefighter Math Applications Questions and Answers Flashcards

6 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 6 FCTC Firefighter Math Applications Questions and Answers flashcards as text

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

    Answer: 1,200 gallons

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

  2. A fire engine's water tank holds 750 gallons. If the engine is pumping at 250 GPM, how many minutes until the tank is empty?

    Answer: 3 minutes

    750 gallons ÷ 250 GPM = 3 minutes until the tank is empty.

  3. A ladder truck has a 100-foot aerial ladder. If the ladder is raised at a 70-degree angle, approximately what horizontal distance from the building's base should the truck be positioned? (sin 70° ≈ 0.94, cos 70° ≈ 0.34)

    Answer: 34 feet

    Horizontal distance = 100 ft × cos 70° ≈ 100 × 0.34 = 34 feet.

  4. A building is 5 stories tall. If each story is approximately 10 feet, and a firefighter must climb 3 stories to reach the fire floor, how many feet must they climb?

    Answer: 30 feet

    3 stories × 10 feet per story = 30 feet of vertical climb.

  5. Engine 7 responds to a call 4.5 miles away traveling at an average speed of 36 mph. How many minutes will it take to arrive?

    Answer: 7.5 minutes

    Time = distance ÷ speed = 4.5 ÷ 36 = 0.125 hours = 7.5 minutes.

  6. A standpipe system requires 100 PSI at the outlet. If friction loss in the supply line is 25 PSI and elevation pressure loss is 15 PSI, what must the pump discharge pressure be?

    Answer: 140 PSI

    Pump discharge pressure = 100 + 25 + 15 = 140 PSI.