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

  1. A hose discharges 125 gallons per minute. How many gallons are discharged in 48 minutes?

    Answer: 6,000 gallons

    125 × 48 = 6,000 gallons.

  2. A ladder is placed so its base is 8 feet from a wall and reaches 15 feet up the wall. What is the length of the ladder?

    Answer: 17 feet

    Using the Pythagorean theorem: √(8² + 15²) = √(64 + 225) = √289 = 17 feet.

  3. A fire engine tank holds 500 gallons. If the pump discharges water at 250 GPM, how long (in minutes) before the tank is empty?

    Answer: 2 minutes

    500 ÷ 250 = 2 minutes.

  4. A building is 60 feet tall. If a firefighter can climb 12 feet per minute, how long will it take to reach the top?

    Answer: 5 minutes

    60 ÷ 12 = 5 minutes.

  5. A fire station responds to 84 calls in 4 weeks. What is the average number of calls per day (7-day week)?

    Answer: 3 calls

    84 calls ÷ 28 days = 3 calls per day.

  6. A foam concentrate must be mixed at 3% concentration. How many gallons of concentrate are needed for 200 gallons of solution?

    Answer: 6 gallons

    3% of 200 = 0.03 × 200 = 6 gallons.

  7. A hose line loses 10 PSI of pressure for every 100 feet of hose. What is the total pressure loss for 350 feet of hose?

    Answer: 35 PSI

    350 ÷ 100 × 10 = 35 PSI of friction loss.