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CPS Firefighter Test Firefighter Mathematical Reasoning Questions and Answers Flashcards

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

Read the first 6 CPS Firefighter Test Firefighter Mathematical Reasoning Questions and Answers flashcards as text

  1. A rectangular fire suppression zone measures 45 feet by 30 feet. What is the area in square feet?

    Answer: 1,350 sq ft

    Area = length × width = 45 × 30 = 1,350 square feet.

  2. A crew of 5 firefighters can clear a debris field in 4 hours. How long would it take 8 firefighters working at the same rate?

    Answer: 2.5 hours

    Total work = 5 × 4 = 20 person-hours; 20 ÷ 8 = 2.5 hours.

  3. A fire travels 300 feet in 5 minutes. At this rate, how far will it travel in 22 minutes?

    Answer: 1,320 feet

    Rate = 60 ft/min; 60 × 22 = 1,320 feet.

  4. Engine Company 7 used 1,800 gallons of water on a fire. If their tanker holds 3,000 gallons, what percentage of their supply remains?

    Answer: 40%

    Remaining = 1,200 gallons; 1,200/3,000 × 100 = 40%.

  5. A firefighter climbs 18 steps per floor. If the fire is on the 7th floor and each step is 8 inches high, how many total feet does the firefighter climb?

    Answer: 84 feet

    Climbing to the 7th floor means ascending 6 floor intervals: 18 × 6 = 108 steps × 8 in = 864 inches ÷ 12 = 72 feet.

  6. A fire department budget allocates $240,000 for equipment. If protective gear costs $1,600 per set and there are 30 firefighters, how much budget remains after purchasing gear for all firefighters?

    Answer: $192,000

    Cost = 30 × $1,600 = $48,000; remaining = $240,000 − $48,000 = $192,000.