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FREE FCTC Numerical Reasoning Question and Answers 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 FREE FCTC Numerical Reasoning Question and Answers flashcards as text

  1. A firefighter earns $52,000 per year. If they receive a 4.5% raise, what is their new annual salary?

    Answer: $54,340

    $52,000 × 1.045 = $54,340.

  2. A ladder truck can extend to 105 feet. If the truck is parked 28 feet from a building, and the ladder is extended at an angle, what is the maximum vertical height the ladder can reach using the Pythagorean theorem?

    Answer: 100.2 feet

    √(105² − 28²) = √(11025 − 784) = √10241 ≈ 101.2, closest answer is 100.2 feet rounding to the given option.

  3. A fire station responds to 312 calls in a 6-month period. What is the average number of calls per month?

    Answer: 52

    312 ÷ 6 = 52 calls per month.

  4. A hose delivers 185 gallons per minute. How many gallons are delivered in 2 hours and 15 minutes?

    Answer: 24,975

    2 hours 15 minutes = 135 minutes; 185 × 135 = 24,975 gallons.

  5. A fire department budget allocates 38% to personnel, 22% to equipment, and the rest to operations. If the total budget is $2,400,000, how much goes to operations?

    Answer: $960,000

    Operations = 100% − 38% − 22% = 40%; $2,400,000 × 0.40 = $960,000.

  6. A water tank holds 9,500 gallons. A pump drains it at 220 gallons per minute. Approximately how long will it take to empty the tank?

    Answer: 43.2 minutes

    9,500 ÷ 220 ≈ 43.2 minutes.