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FREE FCTC Test Firefighter Mathematical Problems Questions and Answers Flashcards

6 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 6 FREE FCTC Test Firefighter Mathematical Problems Questions and Answers flashcards as text

  1. A fire engine tank holds 500 gallons of water. After fighting a fire, 35% of the water has been used. How many gallons remain in the tank?

    Answer: 325 gallons

    35% of 500 = 175 gallons used, so 500 − 175 = 325 gallons remain.

  2. A ladder is placed against a building so that the base is 8 feet from the wall and the ladder reaches 15 feet up the wall. What is the length of the ladder?

    Answer: 17 feet

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

  3. A firefighter earns $28.50 per hour and works 48 hours in one week. What is the total gross pay for that week?

    Answer: $1,368.00

    $28.50 × 48 = $1,368.00 total gross pay.

  4. A hose delivers water at a rate of 95 gallons per minute. How many gallons are delivered in 12 minutes?

    Answer: 1,140 gallons

    95 × 12 = 1,140 gallons delivered in 12 minutes.

  5. A fire station has 4 crews working rotating 24-hour shifts. If each crew works 8 shifts per month, how many total crew-shifts are worked in a month?

    Answer: 32

    4 crews × 8 shifts = 32 total crew-shifts per month.

  6. A building is 240 feet long and 180 feet wide. What is the perimeter of the building?

    Answer: 840 feet

    Perimeter = 2 × (240 + 180) = 2 × 420 = 840 feet.