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Test Firefighter Mathematical Problems 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 Test Firefighter Mathematical Problems Questions and Answers flashcards as text

  1. A pump discharges 180 gallons per minute from a 1,200-gallon tank. How many minutes until the tank is empty?

    Answer: 6 minutes

    1,200 ÷ 180 = 6.67, so approximately 6 full minutes before the tank is empty.

  2. A fire crew of 8 firefighters completes a task in 3 hours. How long would it take 12 firefighters to complete the same task?

    Answer: 2 hours

    Total work = 8 × 3 = 24 person-hours; 24 ÷ 12 = 2 hours.

  3. A fire station's monthly water bill averages $340. What is the annual water bill?

    Answer: $4,080

    $340 × 12 = $4,080 per year.

  4. Hose friction loss is calculated as 2 PSI per 100 feet of 2½-inch hose. What is the friction loss for 350 feet of hose?

    Answer: 7 PSI

    2 × (350/100) = 2 × 3.5 = 7 PSI.

  5. A firefighter's SCBA air cylinder holds 45 cubic feet of air. At a breathing rate consuming 1.5 cubic feet per minute, how long will the air last?

    Answer: 30 minutes

    45 ÷ 1.5 = 30 minutes of air supply.

  6. A department responds to 2,160 calls per year. What is the average number of calls per day?

    Answer: 6

    2,160 ÷ 365 ≈ 5.92, which rounds to approximately 6 calls per day.

  7. A training tower floor plan measures 25 feet by 40 feet. If a new floor adds 15% more area, what is the new total area?

    Answer: 1,150 sq ft

    Original area = 25 × 40 = 1,000 sq ft; 1,000 × 1.15 = 1,150 sq ft.