NFSI Mathematical and Numeric Reasoning Questions and Answers

Question 1

An engine must lay a supply line to a hydrant that is 475 feet away.
The engine carries supply hose in 50-foot sections.
What is the minimum number of sections the crew must deploy to reach the hydrant?

Accepted Answer

10 sections

Answer

8 sections

Answer

9 sections

Answer

11 sections

Question 2

A firefighter begins an operation with a full 4,500 psi SCBA cylinder. After 10 minutes of strenuous work, the cylinder's pressure is 3,000 psi. Assuming a constant rate of air consumption, what was the total estimated working air time available from the full cylinder?

Accepted Answer

30 minutes

Answer

25 minutes

Answer

20 minutes

Answer

45 minutes

Question 3

A fire engine's water tank has a capacity of 750 gallons. If water weighs approximately 8.34 pounds per gallon, what is the total weight of the water in the tank when it is completely full?

Accepted Answer

6,255 lbs

Answer

5,455 lbs

Answer

7,500 lbs

Answer

8,340 lbs

Question 4

A pump operator needs to supply water to a nozzle at the top of a 5-story building. The required nozzle pressure is 100 psi. There is a pressure loss of 25 psi due to friction in the hose. Additionally, the department calculates a pressure loss of 5 psi for each story of elevation. What is the required pump discharge pressure (PDP)?

Accepted Answer

150 psi

Answer

125 psi

Answer

130 psi

Answer

175 psi

Question 5

A fire crew is preparing to use a 3% foam concentrate to extinguish a flammable liquid fire. They estimate they will need to apply a total of 200 gallons of the finished foam solution. How many gallons of foam concentrate must be mixed with water to create the solution?

Accepted Answer

6 gallons

Answer

3 gallons

Answer

20 gallons

Answer

60 gallons

Question 6

A salvage cover is needed to protect the contents and floor of a small office from water damage. If the room measures 12 feet wide by 15 feet long, what is the total floor area in square feet that needs to be covered?

Accepted Answer

180 sq ft

Answer

27 sq ft

Answer

54 sq ft

Answer

150 sq ft

An engine must lay a supply line to a hydrant that is 475 feet away.The engine carries supply hose in 50-foot sections.What is the minimum number of sections the crew must deploy to reach the hydrant?

An engine must lay a supply line to a hydrant that is 475 feet away.
The engine carries supply hose in 50-foot sections.
What is the minimum number of sections the crew must deploy to reach the hydrant?