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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 Firefighter Math Applications Questions and Answers flashcards as text

  1. A foam solution requires a 3% concentrate mixture. How many gallons of foam concentrate are needed to make 200 gallons of solution?

    Answer: 6 gallons

    Concentrate = 200 × 0.03 = 6 gallons.

  2. An engine travels at an average speed of 40 mph to a call 3 miles away. How many minutes does the response take?

    Answer: 4.5 min

    Time = (3 ÷ 40) hours = 0.075 hr × 60 = 4.5 minutes.

  3. A firefighter burns approximately 600 calories per hour during active firefighting. How many calories are burned during a 45-minute suppression operation?

    Answer: 450 cal

    600 × (45/60) = 600 × 0.75 = 450 calories.

  4. A 2.5-inch hose has a flow rate of 250 gpm. If the same pump pressure is used, a 3-inch hose carries approximately 30% more flow. What is the 3-inch hose flow rate?

    Answer: 325 gpm

    250 × 1.30 = 325 gpm.

  5. A department's budget for overtime is $120,000 per year. Overtime pay is $45 per hour. How many total overtime hours can be funded?

    Answer: 2,667 hrs

    120,000 ÷ 45 ≈ 2,667 hours.

  6. A ground ladder must reach a window sill 24 feet high. NFPA recommends the ladder extend 3 feet above the roofline and be placed at a 75° working angle. Approximately what length ladder is needed?

    Answer: 27 ft

    The ladder must reach 24 + 3 = 27 feet, so a 27-foot ladder is the minimum required.

  7. A hazmat team must dilute a chemical spill with water at a 10:1 water-to-chemical ratio. If 50 gallons of chemical spilled, how many gallons of water are needed?

    Answer: 500 gallons

    Water needed = 50 × 10 = 500 gallons.