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Firefighter Mathematical Problems 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 Firefighter Mathematical Problems flashcards as text

  1. A fire engine pump is operating at 150 psi engine pressure. Friction loss in the 200-foot hose line is 20 psi. What is the nozzle pressure?

    Answer: 130 psi

    Nozzle Pressure = Engine Pressure − Friction Loss = 150 − 20 = 130 psi.

  2. A fire extinguisher rated at 2.5 lbs/minute discharges for 45 seconds. How many pounds of agent are discharged?

    Answer: 1.875 lbs

    45 seconds = 0.75 minutes. 2.5 lbs/min × 0.75 min = 1.875 lbs.

  3. A structure measures 40 ft × 60 ft × 10 ft. What is the total volume of the structure in cubic feet?

    Answer: 24,000 cu ft

    Volume = Length × Width × Height = 40 × 60 × 10 = 24,000 cubic feet.

  4. Station response data shows 120 calls in January, 95 in February, and 110 in March. What is the average monthly call volume for this period?

    Answer: 108.3

    Average = (120 + 95 + 110) ÷ 3 = 325 ÷ 3 = 108.33 ≈ 108.3.

  5. A fire hose 50 feet long needs to be replaced. If replacement hose costs $4.50 per foot, what is the total cost?

    Answer: $225.00

    50 feet × $4.50/foot = $225.00.

  6. A ladder is 35 feet long and must be placed at a 75-degree angle. Using the 1-in-4 rule, how far from the building should the base be placed?

    Answer: 8.75 ft

    1-in-4 rule: base distance = ladder length ÷ 4 = 35 ÷ 4 = 8.75 ft.