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Firefighter Math Applications 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 Firefighter Math Applications flashcards as text

  1. A pumper truck delivers water at 250 GPM. A structure fire requires 500 GPM. How many pumper trucks are needed to meet the demand?

    Answer: 2 trucks

    500 ÷ 250 = 2 trucks needed.

  2. A firefighter climbs 14 steps per floor. If each step is 8 inches high, how tall (in feet) is a 5-story building?

    Answer: 46.67 feet

    14 steps × 8 inches × 5 floors = 560 inches ÷ 12 = 46.67 feet.

  3. Engine 7 travels to a fire scene at 45 mph and covers a distance of 6.75 miles. How long (in minutes) does the response take?

    Answer: 9 minutes

    Time = distance ÷ speed = 6.75 ÷ 45 = 0.15 hours × 60 = 9 minutes.

  4. A standpipe system is pressurized to 100 psi. Friction loss per 100 feet of hose is 15 psi. For a 200-foot hose, what is the nozzle pressure?

    Answer: 70 psi

    100 psi - (15 psi × 2) = 100 - 30 = 70 psi nozzle pressure.

  5. A hazmat spill covers an area 18 feet wide and 25 feet long. What is the total area of the spill?

    Answer: 450 sq ft

    18 × 25 = 450 square feet.

  6. If a fire doubles in size every 60 seconds, and it starts at 10 square feet, how large will it be after 3 minutes?

    Answer: 80 sq ft

    After 3 doublings: 10 × 2³ = 10 × 8 = 80 square feet.

  7. A department has 48 firefighters. If 25% are assigned to Station 1, 33% to Station 2, and the rest to Station 3, how many are at Station 3?

    Answer: 20

    48 × 0.25 = 12; 48 × 0.33 = 15.84 ≈ 16; 48 - 12 - 16 = 20.