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Mathematical Reasoning Flashcards

6 cards from real CPS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Mathematical Reasoning flashcards as text

  1. A fire engine is pumping water at a rate of 250 gallons per minute (GPM). If the fire requires an estimated 1,750 gallons of water to be extinguished, how many minutes will it take for the engine to deliver the necessary amount of water?

    Answer: 7 minutes

    To determine the time required, divide the total number of gallons needed by the pumping rate. Calculation: 1,750 gallons / 250 gallons per minute = 7 minutes.

  2. According to safety guidelines, the base of a 28-foot ladder should be placed approximately one-quarter of its working length from the building. Which of the following is the correct distance?

    Answer: 7 feet

    To find the correct distance, divide the ladder's length by 4. Calculation: 28 feet / 4 = 7 feet. The base of the ladder should be 7 feet from the building.

  3. A firefighter's SCBA cylinder contains 1,800 liters of air. The average consumption rate during heavy exertion is 80 liters per minute. After working for 12 minutes at this rate, how many liters of air will remain in the cylinder?

    Answer: 840 liters

    First, calculate the total air consumed: 80 liters/minute * 12 minutes = 960 liters. Then, subtract the consumed air from the cylinder's total capacity: 1,800 liters - 960 liters = 840 liters remaining.

  4. A fire crew lays out 450 feet of a 2.5-inch hose. If the friction loss for this type of hose is 10 PSI per 100 feet, what is the total friction loss for the entire length of the hose?

    Answer: 45.0 PSI

    First, determine how many 100-foot sections are in the total length: 450 feet / 100 feet = 4.5 sections. Then, multiply the number of sections by the friction loss per section: 4.5 * 10 PSI = 45.0 PSI total friction loss.

  5. A fire engine's water tank has a capacity of 500 gallons. Knowing that water weighs approximately 8.34 pounds per gallon, what is the total weight of the water when the tank is full?

    Answer: 4,170 pounds

    To find the total weight, multiply the volume of water in gallons by the weight per gallon. Calculation: 500 gallons * 8.34 pounds/gallon = 4,170 pounds.

  6. A fire inspector is checking a rectangular event space measuring 80 feet by 50 feet. The fire code mandates a maximum occupant load of one person for every 20 square feet. What is the maximum number of people legally allowed in this space?

    Answer: 200 people

    First, calculate the total area of the space: 80 feet * 50 feet = 4,000 square feet. Next, divide the total area by the square footage required per person: 4,000 sq ft / 20 sq ft/person = 200 people.