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Firefighter Math Reasoning Flashcards

7 cards from real NFST 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 Reasoning flashcards as text

  1. A fire hose delivers 150 gallons per minute. How many gallons are delivered in 25 minutes?

    Answer: 3,750 gallons

    150 × 25 = 3,750 gallons.

  2. A ladder is 35 feet long and is placed so that the base is 7 feet from the building. What is the approximate height the ladder reaches on the building?

    Answer: 34 feet

    Using the Pythagorean theorem: √(35² − 7²) = √(1225 − 49) = √1176 ≈ 34.3 feet.

  3. A fire station uses 480 gallons of water during a training drill. If the tank started at 1,200 gallons, what percentage remains after the drill?

    Answer: 60%

    (1,200 − 480) / 1,200 × 100 = 720 / 1,200 × 100 = 60%.

  4. If a firefighter earns $52,000 per year, what is their approximate monthly salary?

    Answer: $4,333

    $52,000 ÷ 12 ≈ $4,333 per month.

  5. A building has 8 floors, each 12 feet tall. What is the total height of the building in feet?

    Answer: 96 feet

    8 × 12 = 96 feet.

  6. Firefighters respond to 3 calls in 4 hours. At this rate, how many calls would they respond to in a 24-hour shift?

    Answer: 18

    (3 ÷ 4) × 24 = 18 calls.

  7. A fire burns at a rate consuming 200 square feet every 5 minutes. How many square feet will burn in 30 minutes?

    Answer: 1,200 sq ft

    200 ÷ 5 = 40 sq ft/min; 40 × 30 = 1,200 sq ft.