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

  1. A 3-story building is fully involved in fire. Each floor is 12 feet tall with an 18-inch floor assembly. What is the total building height from ground to roof?

    Answer: 40.5 feet

    3 floors × 12 ft = 36 ft + 3 floor assemblies × 1.5 ft = 4.5 ft; total = 40.5 feet.

  2. A department requires 1 firefighter for every 1,000 sq ft of structure fire suppression. If a building has 7,500 sq ft, how many firefighters are needed?

    Answer: 8

    7,500 ÷ 1,000 = 7.5, rounded up to 8 firefighters.

  3. A fire station receives an average of 480 calls per year. What is the average number of calls per day?

    Answer: 1.3

    480 ÷ 365 ≈ 1.32 ≈ 1.3 calls per day.

  4. Water weighs approximately 8.34 pounds per gallon. What is the weight of 500 gallons of water?

    Answer: 4,170 lbs

    500 × 8.34 = 4,170 pounds.

  5. A fire hose is flowing at 125 gpm. The company has a 1,500-gallon tank. How long will the tank last in minutes?

    Answer: 12 min

    1,500 ÷ 125 = 12 minutes.

  6. A rectangular swimming pool is 30 ft long, 15 ft wide, and 5 ft deep. How many gallons of water does it hold? (1 cu ft ≈ 7.48 gal)

    Answer: 16,740 gal

    Volume = 30 × 15 × 5 = 2,250 cu ft; 2,250 × 7.48 = 16,830 ≈ 16,740 gal.

  7. A crew of 4 firefighters can complete a primary search of a 2,400 sq ft floor in 6 minutes. How many square feet per minute does each firefighter cover?

    Answer: 100 sq ft/min

    Total rate = 2,400 ÷ 6 = 400 sq ft/min; per firefighter = 400 ÷ 4 = 100 sq ft/min.