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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 rectangular room measures 24 feet by 18 feet. What is the area of the room in square feet?

    Answer: 432 sq ft

    24 × 18 = 432 square feet.

  2. A storage room measures 12 feet by 15 feet with an 8-foot ceiling. What is the total volume in cubic feet?

    Answer: 1,440 cubic feet

    V = 12 × 15 × 8 = 1,440 cubic feet.

  3. A firefighter earns $22.50 per hour and works 56 hours in a week. Overtime (over 40 hrs) is paid at 1.5× the rate. What is gross pay?

    Answer: $1,440

    Regular: 40 × $22.50 = $900; OT rate: $33.75; OT pay: 16 × $33.75 = $540; total = $1,440.

  4. A cylindrical water tank has a radius of 3 feet and a height of 10 feet. Using π ≈ 3.14, what is the volume?

    Answer: 282.6 cubic feet

    V = π × r² × h = 3.14 × 9 × 10 = 282.6 cubic feet.

  5. A pump produces 150 PSI at the source. If friction loss is 45 PSI and the nozzle requires 80 PSI, is pressure adequate and by how much?

    Answer: Yes, by 25 PSI

    Required = 45 + 80 = 125 PSI; available = 150 PSI; surplus = 25 PSI.

  6. An aerial ladder is 100 feet long. If deployed at a 75° angle, approximately what horizontal distance from the building is the base? (sin 75° ≈ 0.97, cos 75° ≈ 0.26)

    Answer: 26 feet

    Horizontal distance = 100 × cos 75° = 100 × 0.26 = 26 feet.

  7. A crew of 4 firefighters can lay 600 feet of hose in 5 minutes. How long would it take 3 firefighters to lay the same 600 feet?

    Answer: 6.5 minutes

    Work rate per person = 600 ÷ (4 × 5) = 30 ft/min; 3 workers: 600 ÷ (3 × 30) = 6.67 ≈ 6.5 minutes.