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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 fire spreads at 2 acres per hour. How many square feet does it cover in 30 minutes? (1 acre = 43,560 sq ft)

    Answer: 43,560 sq ft

    In 30 min (0.5 hr), 2 × 0.5 = 1 acre = 43,560 sq ft.

  2. A map uses a scale of 1 inch = 500 feet. Two fire stations are 3.5 inches apart on the map. What is the actual distance?

    Answer: 1,750 feet

    3.5 inches × 500 ft/inch = 1,750 feet.

  3. A fire engine uses 8 gallons of diesel per hour while pumping. How much fuel is consumed during a 3.5-hour operation?

    Answer: 28 gallons

    8 × 3.5 = 28 gallons.

  4. A station's budget allocates 35% for equipment, 45% for salaries, and the rest for maintenance. If the total budget is $400,000, how much is for maintenance?

    Answer: $80,000

    Maintenance = 100% − 35% − 45% = 20%; 20% of $400,000 = $80,000.

  5. Water weighs approximately 8.33 pounds per gallon. What is the weight of water in a 750-gallon tank?

    Answer: 6,247.5 lbs

    750 × 8.33 = 6,247.5 pounds.

  6. A nozzle flows 200 GPM. During a 25-minute operation, how many gallons were used?

    Answer: 5,000 gallons

    200 × 25 = 5,000 gallons.

  7. A firefighter must carry 60 pounds of equipment up 5 flights of stairs, each flight being 12 feet. What is the total vertical distance traveled?

    Answer: 60 feet

    5 flights × 12 feet = 60 feet of vertical distance.