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Mathematical and Numeric Reasoning Flashcards

7 cards from real NFSI practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Mathematical and Numeric Reasoning flashcards as text

  1. A firefighter pumps water at 200 gallons per minute. A pool-supply reservoir holds 8,000 gallons. How many minutes will the reservoir last?

    Answer: 40 min

    8,000 ÷ 200 = 40 minutes.

  2. A crew of 6 firefighters splits a workload equally. If the total workload is 270 units, how many units does each firefighter handle?

    Answer: 45

    270 ÷ 6 = 45 units each.

  3. A fire station runs 3 shifts of 24 hours each. If each shift has 8 firefighters, how many total firefighter-hours are worked in one full rotation?

    Answer: 576

    3 shifts × 24 hours × 8 firefighters = 576 firefighter-hours.

  4. Thermal imaging cameras cost $3,500 each. If a department buys 4 cameras and receives a 10% bulk discount, what is the total cost?

    Answer: $12,600

    4 × $3,500 = $14,000; 10% discount = $1,400; $14,000 − $1,400 = $12,600.

  5. A firefighter lifts a 45-pound hose bundle and carries it 120 feet in 30 seconds. What is the carrying speed in feet per second?

    Answer: 4 ft/s

    120 ÷ 30 = 4 feet per second.

  6. A fire doubles in size every 2 minutes. If it starts at 500 square feet, how large is it after 6 minutes?

    Answer: 4,000 sq ft

    After 2 min: 1,000; after 4 min: 2,000; after 6 min: 4,000 sq ft.

  7. A department spends $960 monthly on fuel. If fuel prices rise 12.5%, what will the new monthly fuel cost be?

    Answer: $1,080

    $960 × 1.125 = $1,080.