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Test Firefighter Mathematical Problems Questions 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 Test Firefighter Mathematical Problems Questions and Answers flashcards as text

  1. A pump is flowing 200 GPM at 150 psi. If the flow rate doubles to 400 GPM, approximately how does friction loss change? (Friction loss increases with the square of flow rate.)

    Answer: Quadruples

    Friction loss is proportional to flow rate squared. Doubling GPM from 200 to 400 gives a ratio of 2 squared equals 4, so friction loss quadruples.

  2. A building has three floors each 12 feet tall. What is the elevation pressure in psi that must be added to pump pressure? (Use 0.434 psi per foot)

    Answer: 15.6 psi

    Total height equals 3 times 12 equals 36 feet; elevation pressure equals 36 times 0.434 equals 15.6 psi.

  3. A 2.5-inch hose carries 250 GPM total. A firefighter splits the flow equally into two 1.75-inch lines. How much does each line carry?

    Answer: 125 GPM

    250 GPM divided by 2 equals 125 GPM per line.

  4. A firefighter's hourly pay rate is $28.50. If they work a 24-hour shift, what is their gross pay for that shift?

    Answer: $684.00

    $28.50 multiplied by 24 hours equals $684.00.

  5. The required fire flow for a 4,800 square foot building is calculated using the NFA formula: GPM equals area divided by 3. What is the required GPM?

    Answer: 1,600 GPM

    4,800 divided by 3 equals 1,600 GPM.

  6. A ladder is leaned against a wall using the 4:1 climbing angle rule (1 foot of base distance for every 4 feet of vertical height). If the top of the ladder is 16 feet high, how far from the wall is the base?

    Answer: 4 feet

    Base distance equals vertical height divided by 4: 16 divided by 4 equals 4 feet.