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

5 minutes

Answer

3.5 minutes

Answer

6 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

28 pounds

Answer

84 pounds

Answer

112 pounds

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

1,200 square feet

Answer

80 square feet

Answer

1,600 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

20 minutes

Answer

4 minutes

Answer

25 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

3 gallons

Answer

5 gallons

Answer

1.5 gallons

Question 6

A ladder must be raised to a window that is 24 feet above the ground. To be placed at the proper angle, the base of the ladder should be 7 feet away from the building. What is the minimum length the ladder must be to reach the window?

Accepted Answer

25 feet

Answer

31 feet

Answer

23 feet

Answer

28 feet