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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 Test Firefighter Mathematical Problems Questions and Answers flashcards as text

  1. An engine has a 750-gallon tank and flows 125 GPM on a 1.75-inch attack line. If no water supply is established, how long can the crew operate before the tank is empty?

    Answer: 6 minutes

    750 gallons divided by 125 GPM equals 6 minutes of operating time.

  2. The fireground requires 500 GPM of water. A hydrant flows at 750 GPM. After supplying the required fire flow, what residual flow remains at the hydrant?

    Answer: 250 GPM

    Residual flow equals 750 minus 500 equals 250 GPM.

  3. A 100-foot section of 3-inch hose has a friction loss of 8 psi per 100 feet at 200 GPM. What is the total friction loss for 400 feet of this hose at 200 GPM?

    Answer: 32 psi

    400 feet equals 4 sections of 100 feet each; total friction loss equals 4 times 8 psi equals 32 psi.

  4. A 55-gallon drum of foam concentrate weighs 495 lbs. A firefighter needs to move 3 drums using a dolly. What is the total weight being moved?

    Answer: 1,485 lbs

    3 drums multiplied by 495 lbs per drum equals 1,485 lbs.

  5. A firefighter's heart rate reaches 180 beats per minute during a live fire exercise. Normal resting rate is 60 BPM. By what percentage has the heart rate increased?

    Answer: 200%

    Percentage increase equals (180 minus 60) divided by 60 times 100 percent equals 120 divided by 60 times 100 equals 200 percent.

  6. A fire department needs to purchase 20 SCBA sets at $4,800 each and 10 spare cylinders at $320 each. What is the total equipment cost?

    Answer: $99,200

    20 times $4,800 equals $96,000; 10 times $320 equals $3,200; total equals $96,000 plus $3,200 equals $99,200.