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

  1. A fire hose discharges water at 150 gallons per minute. How many gallons will be discharged in 45 minutes?

    Answer: 6,750 gallons

    150 gallons/min × 45 min = 6,750 gallons.

  2. A rectangular storage room measures 24 feet long, 18 feet wide, and 10 feet high. What is the volume of the room in cubic feet?

    Answer: 4,320 cubic feet

    Volume = 24 × 18 × 10 = 4,320 cubic feet.

  3. A firefighter earns $28.50 per hour and works a 56-hour shift week. What is the firefighter's gross weekly pay before taxes?

    Answer: $1,596.00

    $28.50 × 56 hours = $1,596.00.

  4. A fire truck tank holds 750 gallons of water. After fighting a fire, 40% of the water remains. How many gallons are left?

    Answer: 300 gallons

    750 × 0.40 = 300 gallons remaining.

  5. A ladder is placed against a building with its base 8 feet from the wall. If the ladder 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.

  6. A station has 4 fire engines and each engine carries 12 sets of SCBA gear. If 30% of the SCBA sets are currently out for maintenance, how many are available?

    Answer: 34 sets

    Total sets = 4 × 12 = 48; 48 × 0.70 = 33.6, rounded to 34 sets available.