FCTC Test Firefighter Mathematical Problems Questions and Answers

Question 1

An engine is supplying two separate attack lines to fight a fire.
Attack Line 1 is flowing 150 GPM and Attack Line 2 is flowing 125 GPM.
What is the total gallons per minute (GPM) being discharged from the pumper for these two lines?

Accepted Answer

275 GPM

Answer

250 GPM

Answer

225 GPM

Answer

300 GPM

Question 2

A firefighter is calculating the friction loss in a 300-foot section of 2.5-inch hose flowing 200 GPM. Using the formula: FL = C × (GPM/100)² × (L/100), where the coefficient (C) for this hose is 2. What is the total friction loss in PSI?

Accepted Answer

24 PSI

Answer

12 PSI

Answer

18 PSI

Answer

30 PSI

Question 3

A fire engine is using its 500-gallon water tank to extinguish a car fire. If the attack line is flowing at a constant rate of 100 gallons per minute (GPM), how many minutes will the water tank last before it is empty?

Accepted Answer

5 minutes

Answer

4 minutes

Answer

4.5 minutes

Answer

6 minutes

Question 4

A crew is assigned to perform salvage and cover the floor of a rectangular retail space to protect it from water damage. The room measures 30 feet wide by 50 feet long. What is the total square footage of the floor that the crew must cover?

Accepted Answer

1,500 square feet

Answer

80 square feet

Answer

1,600 square feet

Answer

1,200 square feet

Question 5

A firefighter must place a 28-foot extension ladder against a building to reach a third-story window. The base of the window is 24 feet from the ground. Using the standard 4:1 ratio for a safe climbing angle (ladder base should be 1 foot from the building for every 4 feet of vertical height), what is the correct distance from the building to place the base of the ladder?

Accepted Answer

6 feet

Answer

7 feet

Answer

5 feet

Answer

8 feet

Question 6

A firefighter starts an operation with a 4500 PSI SCBA cylinder. After 10 minutes of work, the pressure gauge reads 3000 PSI. Assuming a constant rate of air consumption, how many more minutes can the firefighter work before the cylinder pressure drops to the 1500 PSI reserve level where they must begin exiting?

Accepted Answer

10 minutes

Answer

15 minutes

Answer

12 minutes

Answer

8 minutes

An engine is supplying two separate attack lines to fight a fire.Attack Line 1 is flowing 150 GPM and Attack Line 2 is flowing 125 GPM.What is the total gallons per minute (GPM) being discharged from the pumper for these two lines?

An engine is supplying two separate attack lines to fight a fire.
Attack Line 1 is flowing 150 GPM and Attack Line 2 is flowing 125 GPM.
What is the total gallons per minute (GPM) being discharged from the pumper for these two lines?