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

  1. A rectangular room measures 24 ft by 18 ft with a ceiling height of 10 ft. What is the total volume of the room?

    Answer: 4,320 cu ft

    24 × 18 × 10 = 4,320 cubic feet.

  2. A firefighter carries a 35-pound hose pack and a 22-pound SCBA. If body weight is 185 pounds, what is the total load?

    Answer: 242 lbs

    185 + 35 + 22 = 242 pounds.

  3. A fire hydrant flows at 1,500 gpm. A pumper uses 650 gpm. What percentage of the hydrant's flow is being used?

    Answer: 43.3%

    650 / 1,500 × 100 = 43.3%.

  4. A fire station has 5 fire engines, each with a 500-gallon tank. If all tanks are 60% full, how many total gallons of water are available?

    Answer: 1,500 gallons

    5 × 500 × 0.60 = 1,500 gallons.

  5. A fire doubles in size every 4 minutes. If it starts at 50 square feet, what size is it after 12 minutes?

    Answer: 400 sq ft

    In 12 minutes the fire doubles 3 times: 50 × 2³ = 50 × 8 = 400 sq ft.

  6. A firefighter's schedule is 24 hours on duty followed by 48 hours off. How many days does the firefighter work in a 30-day month?

    Answer: 10 days

    One cycle = 3 days; 30 ÷ 3 = 10 on-duty days.

  7. A nozzle discharges 95 gpm. A backup nozzle discharges 60 gpm. What is the combined discharge rate?

    Answer: 155 gpm

    95 + 60 = 155 gpm.