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Firefighter Math Reasoning Flashcards

7 cards from real NFST 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 Reasoning flashcards as text

  1. A fire extends from room to room, doubling in size every 2 minutes. If it starts in a 50 sq ft area, how large is the fire after 6 minutes?

    Answer: 400 sq ft

    After 2 min: 100 sq ft; after 4 min: 200 sq ft; after 6 min: 400 sq ft.

  2. A fire station has a budget of $120,000. They have spent $43,500 on equipment and $28,750 on training. How much budget remains?

    Answer: $47,750

    $120,000 − $43,500 − $28,750 = $47,750.

  3. A pump discharges water at 300 gpm. How many gallons does it discharge in 1 hour and 45 minutes?

    Answer: 31,500 gallons

    1 hr 45 min = 105 minutes; 300 × 105 = 31,500 gallons.

  4. A firefighter weighs 185 lbs and carries gear weighing 65 lbs. What percentage of the combined weight is the gear?

    Answer: 26%

    Total = 185 + 65 = 250 lbs; 65 ÷ 250 × 100 = 26%.

  5. An aerial ladder can reach 100 feet. If each ladder section is 20 feet long, how many sections are fully extended?

    Answer: 5

    100 ÷ 20 = 5 sections.

  6. A department tracks response times. The times for 5 calls were: 4, 6, 5, 7, and 8 minutes. What is the average response time?

    Answer: 6 minutes

    (4 + 6 + 5 + 7 + 8) ÷ 5 = 30 ÷ 5 = 6 minutes.

  7. A fire station orders 24 boxes of gloves. Each box contains 12 pairs. How many pairs of gloves are ordered in total?

    Answer: 288 pairs

    24 × 12 = 288 pairs of gloves.