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FCTC Numerical Reasoning 1 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 FCTC Numerical Reasoning 1 flashcards as text

  1. A fire engine water tank holds 500 gallons. After using 35% of the water at a scene, how many gallons remain in the tank?

    Answer: 325 gallons

    35% of 500 = 175 gallons used. Subtracting from the full tank: 500 − 175 = 325 gallons remaining.

  2. A fire station operates 3 equal shifts to provide 24/7 coverage. If the station has 18 firefighters total, how many firefighters are on duty during each shift?

    Answer: 6 firefighters

    Dividing the total firefighters evenly across shifts: 18 ÷ 3 = 6 firefighters per shift.

  3. A fire engine travels 4.2 miles to an emergency scene at an average speed of 42 mph. How many minutes does it take to arrive?

    Answer: 6 minutes

    Time = Distance ÷ Speed = 4.2 ÷ 42 = 0.1 hours. Converting to minutes: 0.1 × 60 = 6 minutes.

  4. A fire department purchases 4 sets of turnout gear at $1,250 each and 6 self-contained breathing apparatus at $875 each. What is the total equipment cost?

    Answer: $10,250

    Turnout gear: 4 × $1,250 = $5,000. Breathing apparatus: 6 × $875 = $5,250. Total: $5,000 + $5,250 = $10,250.

  5. A rectangular warehouse involved in a fire measures 120 feet long and 85 feet wide. What is the total floor area of the building?

    Answer: 10,200 square feet

    Area of a rectangle = Length × Width = 120 × 85 = 10,200 square feet.

  6. A firefighter earns $28.50 per hour. Overtime is paid at 1.5 times the regular rate for all hours over 40 in a week. If the firefighter works 48 hours in one week, what is their total gross pay?

    Answer: $1,482.00

    Regular pay: 40 × $28.50 = $1,140.00. Overtime rate: $28.50 × 1.5 = $42.75/hr. Overtime pay: 8 × $42.75 = $342.00. Total: $1,140 + $342 = $1,482.00.