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FCTC Firefighter Math Applications 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 Firefighter Math Applications Questions and Answers flashcards as text

  1. A fire suppression system covers 3,500 square feet. Each sprinkler head covers 130 square feet. How many sprinkler heads are needed? (Round up to the nearest whole number.)

    Answer: 27

    3,500 ÷ 130 = 26.9, which rounds up to 27 sprinkler heads.

  2. A firefighter's total turnout gear weighs 45 pounds and a charged hose line exerts 30 pounds of back pressure. If the firefighter weighs 185 pounds, what is the total effective weight being supported?

    Answer: 260 pounds

    185 + 45 + 30 = 260 pounds total effective weight.

  3. A 2.5-inch hose has a friction loss of 15 PSI per 100 feet. If the hose lay is 350 feet long, what is the total friction loss?

    Answer: 52.5 PSI

    (350 ÷ 100) × 15 PSI = 3.5 × 15 = 52.5 PSI total friction loss.

  4. A fire department responds to 1,440 calls per year. What is the average number of calls per day?

    Answer: 4

    1,440 calls ÷ 365 days ≈ 3.9, but 1,440 ÷ 360 = 4 calls per day using standard rounding.

  5. A structure fire room measures 20 feet × 15 feet × 9 feet (height). What is the total volume of the room in cubic feet?

    Answer: 2,700 cubic feet

    Volume = length × width × height = 20 × 15 × 9 = 2,700 cubic feet.

  6. A pumper carries 1,000 feet of 3-inch hose and 500 feet of 2.5-inch hose. If 600 feet of 3-inch and 200 feet of 2.5-inch are used on scene, how many total feet of hose remain on the pumper?

    Answer: 700 feet

    Remaining 3-inch: 1,000 − 600 = 400 ft; remaining 2.5-inch: 500 − 200 = 300 ft; total = 700 feet.