← All FCTC Flashcard Decks

Numerical Reasoning Flashcards

7 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 7 Numerical Reasoning flashcards as text
  1. A fire hose discharges water at 125 gallons per minute. How many gallons are discharged in 36 minutes?

    Answer: 4,500

    125 × 36 = 4,500 gallons.

  2. A ladder truck is 42 feet long. If 3 ladder trucks are parked end to end, what is the total length in yards?

    Answer: 42 yards

    3 × 42 = 126 feet ÷ 3 = 42 yards.

  3. A firefighter earns $52,800 per year. What is the monthly salary?

    Answer: $4,400

    $52,800 ÷ 12 = $4,400 per month.

  4. A water tank holds 3,600 gallons and is 75% full. How many gallons are needed to fill it completely?

    Answer: 900

    75% of 3,600 = 2,700 gallons present; 3,600 − 2,700 = 900 gallons needed.

  5. If 4 firefighters can complete a ventilation task in 20 minutes, how long would it take 5 firefighters working at the same rate?

    Answer: 16 minutes

    Total work = 4 × 20 = 80 person-minutes; 80 ÷ 5 = 16 minutes.

  6. A building is 85 feet tall. A ladder reaches 68 feet. What percentage of the building height does the ladder reach?

    Answer: 80%

    68 ÷ 85 × 100 = 80%.

  7. Station A responds to 18 calls per day and Station B responds to 24 calls per day. What is the ratio of Station A's calls to Station B's calls in simplest form?

    Answer: 3:4

    18:24 simplifies by dividing both by 6, giving 3:4.