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Mathematical Reasoning and Facility 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 Reasoning and Facility flashcards as text

  1. A building has 6 floors, each 12 feet tall. What is the total height of the building in feet?

    Answer: 72

    6 × 12 = 72 feet.

  2. A fire station responds to calls at an average rate of 4.5 calls per day. How many calls would be expected in a 30-day month?

    Answer: 135

    4.5 × 30 = 135 calls.

  3. If a 1,500-gallon tank is 35% full, how many more gallons are needed to fill it completely?

    Answer: 975

    35% of 1,500 = 525 gallons already in the tank; 1,500 − 525 = 975 gallons needed.

  4. A firefighter's protective gear weighs 45 pounds. If the gear represents 22% of the firefighter's total equipped weight, what is the total equipped weight (rounded to the nearest pound)?

    Answer: 205

    45 ÷ 0.22 ≈ 204.5, rounded to 205 pounds.

  5. Two fire engines start from the same station. Engine A travels north at 50 mph and Engine B travels south at 40 mph. After 30 minutes, how far apart are they?

    Answer: 45 miles

    In 0.5 hours, A travels 25 miles and B travels 20 miles; total separation = 45 miles.

  6. A chemical solution must be diluted so that 1 part chemical is mixed with 7 parts water. How many gallons of chemical are needed to make 64 gallons of solution?

    Answer: 8

    The ratio is 1:7, so 1 part chemical out of 8 total parts; 64 ÷ 8 = 8 gallons of chemical.

  7. A fire burns through 3.2 acres per hour. If the fire started at 2:00 PM and covered 16 acres by the time it was reported, at what time was it reported?

    Answer: 7:00 PM

    16 ÷ 3.2 = 5 hours after 2:00 PM = 7:00 PM.