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Numerical Reasoning Flashcards

6 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 6 Numerical Reasoning flashcards as text

  1. A fire engine travels 12 miles to a call at an average speed of 40 mph. How many minutes does it take to arrive?

    Answer: 18 minutes

    Time = Distance ÷ Speed = 12 ÷ 40 = 0.3 hours = 0.3 × 60 = 18 minutes.

  2. A firefighter uses 400 gallons of water to suppress a fire. The fire engine tank holds 750 gallons. What percentage of the tank was used?

    Answer: 53.3%

    400 ÷ 750 = 0.5333... = 53.3% (rounded to one decimal place).

  3. Station A responds to 24 calls per week. Station B responds to 18 calls per week. How many more calls per year does Station A handle than Station B?

    Answer: 312

    Difference per week = 24 − 18 = 6 calls. Per year: 6 × 52 = 312 calls.

  4. A hose delivers 150 gallons per minute. How many gallons are delivered in 7 minutes?

    Answer: 1,050

    150 gallons/min × 7 min = 1,050 gallons.

  5. A crew of 4 firefighters completes a drill in 48 minutes. If the same workload is shared equally, how long would 6 firefighters take to complete the same drill?

    Answer: 32 minutes

    Total work = 4 × 48 = 192 person-minutes. With 6 firefighters: 192 ÷ 6 = 32 minutes.

  6. A building is 60 feet tall. A ladder must be placed at a 75-degree climbing angle. Approximately how far from the base of the building should the foot of the ladder be placed?

    Answer: 16 feet

    At 75°, the horizontal distance ≈ height × tan(15°) ≈ 60 × 0.268 ≈ 16 feet. Alternatively, the 1-in-4 rule gives 60÷4 = 15 ft, closest to 16 ft.