FREE CPS Firefighter Test Firefighter Mathematical Reasoning Questions and Answers

Question 1

A fire engine's water tank holds 500 gallons. If the crew is attacking a fire with a hoseline flowing at 125 gallons per minute (GPM), how many minutes will the tank's water supply last?

Accepted Answer

4 minutes

Answer

To determine how long the water supply will last, divide the total volume of water in the tank by the flow rate of the hoseline. 500 gallons / 125 GPM = 4 minutes.

Question 2

A firefighter must carry two 50-foot sections of 1.75-inch hose up three flights of stairs. If each 50-foot section weighs 28 pounds when empty, what is the total weight of the hose the firefighter is carrying?

Accepted Answer

56 pounds

Answer

The question asks for the total weight of the two sections of hose being carried. Multiply the weight of one section by the number of sections: 28 pounds/section * 2 sections = 56 pounds. The number of stairs is extra information not needed for the calculation.

Question 3

A fire has occurred in a rectangular room that measures 50 feet long by 30 feet wide. What is the total square footage of the room?

Accepted Answer

1,500 square feet

Answer

To find the area of a rectangle, you multiply its length by its width. In this case, 50 feet * 30 feet = 1,500 square feet.

Question 4

An engine company is dispatched to a call 9 miles away. If the engine travels at an average speed of 36 miles per hour, how many minutes will it take to arrive at the scene?

Accepted Answer

15 minutes

Answer

First, calculate the travel time in hours by dividing the distance by the speed (Time = Distance / Speed). So, 9 miles / 36 mph = 0.25 hours. To convert hours to minutes, multiply by 60: 0.25 * 60 = 15 minutes.

Question 5

A firefighter needs to use a 3% foam concentrate to extinguish a flammable liquid fire. If the total amount of foam solution needed is 150 gallons, how many gallons of foam concentrate are required?

Accepted Answer

4.5 gallons

Answer

To calculate the amount of foam concentrate, convert the percentage to a decimal (3% = 0.03) and multiply it by the total solution volume. 150 gallons * 0.03 = 4.5 gallons.

CPS Firefighter Test Practice Test

CPS Firefighter Test Practice Test

FREE CPS Firefighter Test Firefighter Mathematical Reasoning Questions and Answers