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FCTC Firefighter Math Applications 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 FCTC Firefighter Math Applications Questions and Answers flashcards as text

  1. A fire department's budget is $2,400,000 per year. If personnel costs represent 75% of the budget, how much is spent on personnel annually?

    Answer: $1,800,000

    $2,400,000 × 0.75 = $1,800,000 allocated to personnel costs.

  2. A 2½-inch hose carries water at 200 GPM. If two identical lines are operating simultaneously, what is the total combined flow rate?

    Answer: 400 GPM

    200 GPM × 2 hose lines = 400 GPM total combined flow.

  3. A fire travels at an average rate spreading 0.5 acres per minute in dry conditions. How many acres will burn in 20 minutes if not contained?

    Answer: 10 acres

    0.5 acres/min × 20 minutes = 10 acres burned.

  4. A firefighter's SCBA air cylinder lasts 30 minutes under normal exertion. If heavy exertion reduces the air supply by 40%, how long will the cylinder last during heavy exertion?

    Answer: 18 minutes

    Heavy exertion reduces duration by 40%, so 30 × 0.60 = 18 minutes.

  5. A hydrant delivers water at 1,000 GPM. A pumper is drawing from this hydrant and flowing three 2½-inch lines at 250 GPM each. What is the residual flow remaining at the hydrant?

    Answer: 250 GPM

    Three lines × 250 GPM = 750 GPM used; 1,000 − 750 = 250 GPM residual.

  6. A hazmat container holds 55 gallons of chemical. A leak is releasing the chemical at 2.5 gallons per minute. How many minutes before the container is empty?

    Answer: 22 minutes

    55 gallons ÷ 2.5 GPM = 22 minutes until the container is empty.

  7. A fire station responds to an average of 12 calls per day. Approximately how many calls does the station handle in a 30-day month?

    Answer: 360 calls

    12 calls/day × 30 days = 360 calls per month.

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Sources & references

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  1. fctconline.org — Test delivery, exam format, passing score, registration, retake policy, score release, score validity, eligibility, time limit, fees · verified Oct 2026