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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 Test Firefighter Mathematical Problems Questions and Answers flashcards as text

  1. A fire hose delivers water at 250 gallons per minute. How many gallons are delivered in 18 minutes?

    Answer: 4,500 gallons

    250 × 18 = 4,500 gallons.

  2. A ladder truck is 42 feet long when stored and extends to 105 feet. What is the percent increase in length?

    Answer: 150%

    (105 − 42) / 42 × 100 = 150%.

  3. Firefighter pay is $52,000 per year. What is the bi-weekly paycheck amount (26 pay periods)?

    Answer: $2,000

    $52,000 ÷ 26 = $2,000 per bi-weekly paycheck.

  4. A station has 3 engines, 2 ladder trucks, and 1 rescue unit. What fraction of the fleet are ladder trucks?

    Answer: 1/3

    Total vehicles = 6; ladder trucks = 2; 2/6 = 1/3.

  5. A firefighter burns approximately 800 calories per hour during active firefighting. How many calories are burned in 45 minutes?

    Answer: 600

    800 × (45/60) = 800 × 0.75 = 600 calories.

  6. An aerial ladder must maintain a safe working angle between 60° and 75°. At 70° with a horizontal reach of 30 feet, this is considered:

    Answer: Within the safe range

    70° falls between 60° and 75°, so it is within the safe working range.

  7. A building is 6 stories tall with each story averaging 12 feet. An aerial ladder reaches 85 feet. How many feet above the 6th-floor windowsill (at 72 feet) does the ladder extend?

    Answer: 13 feet

    85 − 72 = 13 feet above the 6th-floor windowsill.