NFSI - National Firefighter Selection Inventory Mathematical Reasoning and Facility Questions and Answers

Question 1

A fire engine is traveling at 55 mph to a reported vehicle fire. It takes 12 minutes to arrive on the scene. Using the formula Rate x Time = Distance, approximately how far did the engine travel?

Accepted Answer

11 miles

Answer

9 miles

Answer

13 miles

Answer

15 miles

Question 2

A fire hose has a flow rate of 150 gallons per minute (GPM). If a 3,000-gallon tanker truck is used to supply the hose, how long can the hose be used before the tanker is empty?

Accepted Answer

20 minutes

Answer

15 minutes

Answer

25 minutes

Answer

30 minutes

Question 3

You need to calculate the total square footage of a commercial building during a pre-plan. The main area is a rectangle measuring 120 feet by 75 feet. There is also a small office attached that measures 20 feet by 30 feet. What is the total square footage of the building?

Accepted Answer

9,600 sq ft

Answer

9,000 sq ft

Answer

600 sq ft

Answer

10,000 sq ft

Question 4

A fire department has a budget of $5,400 to purchase new sections of 50-foot hose, which cost $225 each. Which of the following calculations correctly determines how many new sections of hose can be purchased?

Accepted Answer

5400 / 225

Answer

5400 * 225

Answer

5400 - 225

Answer

5400 / 50

Question 5

A pumper truck carries 750 gallons of water. During an operation, 40% of the water is used. How many gallons of water are remaining in the tank?

Accepted Answer

450 gallons

Answer

300 gallons

Answer

400 gallons

Answer

350 gallons

Question 6

Three firefighters are checking their equipment. Firefighter A has 50 feet of rope, Firefighter B has 75 feet, and Firefighter C has 65 feet. What is the average length of rope per firefighter?

Accepted Answer

60 feet

Answer

65 feet

Answer

63.3 feet

Answer

190 feet

A fire engine is traveling at 55 mph to a reported vehicle fire.It takes 12 minutes to arrive on the scene.Using the formula Rate x Time = Distance, approximately how far did the engine travel?

A fire engine is traveling at 55 mph to a reported vehicle fire.
It takes 12 minutes to arrive on the scene.
Using the formula Rate x Time = Distance, approximately how far did the engine travel?