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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 fire hose discharges water at 250 gallons per minute. How many gallons are discharged in 18 minutes?

    Answer: 4,500 gallons

    250 × 18 = 4,500 gallons.

  2. A ladder is positioned 8 feet from a wall and reaches 15 feet up the wall. What is the length of the ladder?

    Answer: 17 ft

    Using the Pythagorean theorem: √(8² + 15²) = √(64 + 225) = √289 = 17 ft.

  3. A fire station budget of $240,000 is divided equally among 6 departments. How much does each department receive?

    Answer: $40,000

    $240,000 ÷ 6 = $40,000 per department.

  4. A firefighter runs a 400-meter loop 7 times during training. How many kilometers did the firefighter run?

    Answer: 2.8 km

    400 × 7 = 2,800 meters = 2.8 km.

  5. A tank holds 3,200 gallons of water. A pump removes water at 80 gallons per minute. How long until the tank is empty?

    Answer: 40 minutes

    3,200 ÷ 80 = 40 minutes.

  6. A building's floor area is 120 feet long and 75 feet wide. What is the total area?

    Answer: 9,000 sq ft

    120 × 75 = 9,000 square feet.

  7. If a firefighter earns $26.50 per hour and works 48 hours in a week, what is the total gross pay?

    Answer: $1,272.00

    $26.50 × 48 = $1,272.00.