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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 engine travels at 45 mph for 20 minutes to reach a scene. How many miles does it travel?

    Answer: 15 miles

    20 minutes = 1/3 hour; 45 × (1/3) = 15 miles.

  2. A rescue rope is 150 feet long. If 37.5 feet are used, what percentage of the rope remains?

    Answer: 75%

    Remaining = 112.5 ft; 112.5 / 150 × 100 = 75%.

  3. A fire department responded to 312 calls last year. If 26% were false alarms, how many were actual emergencies?

    Answer: 231

    312 × 0.74 = 230.88 ≈ 231 actual emergencies.

  4. Water weighs approximately 8.34 pounds per gallon. How much does 200 gallons weigh?

    Answer: 1,668 lbs

    8.34 × 200 = 1,668 pounds.

  5. A hose line loses 5 psi of pressure for every 100 feet of hose. How much pressure is lost over 600 feet?

    Answer: 30 psi

    5 × (600/100) = 5 × 6 = 30 psi.

  6. A firefighter uses 12 minutes to don full gear and 3 minutes to check equipment. If a shift starts at 07:00, at what time is the firefighter fully ready?

    Answer: 07:15

    12 + 3 = 15 minutes; 07:00 + 15 min = 07:15.

  7. A fuel tank holds 85 gallons. The fire truck uses 6.5 gallons per hour. How many hours can the truck operate before refueling (round down)?

    Answer: 13 hours

    85 ÷ 6.5 ≈ 13.08, rounded down to 13 hours.