CPS Firefighter Test Firefighter Mathematical Reasoning Questions and Answers

Question 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?

Accepted Answer

7 minutes

Answer

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.

Question 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?

Accepted Answer

7 feet

Answer

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.

Question 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?

Accepted Answer

840 liters

Answer

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.

Question 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?

Accepted Answer

45.0 PSI

Answer

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.

Question 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?

Accepted Answer

4,170 pounds

Answer

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.

CPS Firefighter Test Practice Test

CPS Firefighter Test Practice Test

CPS Firefighter Test Firefighter Mathematical Reasoning Questions and Answers