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

6 minutes

Answer

8 minutes

Answer

5 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

6 feet

Answer

8 feet

Answer

9 feet

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

960 liters

Answer

1,040 liters

Answer

1,200 liters

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

40.5 PSI

Answer

50.0 PSI

Answer

4500 PSI

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

4,000 pounds

Answer

4,255 pounds

Answer

3,870 pounds

Question 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?

Accepted Answer

200 people

Answer

250 people

Answer

130 people

Answer

400 people

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?

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?