NFSI Mathematical Reasoning and Facility 4

Question 1

A rescue team covers 2.5 miles of terrain in 45 minutes. At this rate, how long will it take them to cover 10 miles?

Accepted Answer

3 hours

Answer

10 ÷ 2.5 = 4 intervals of 45 minutes = 180 minutes = 3 hours.

Question 2

A fire station's budget is $840,000. If equipment costs account for 37.5% of the budget, how much is spent on equipment?

Accepted Answer

$315,000

Answer

840,000 × 0.375 = $315,000.

Question 3

A water tank drains at 75 gallons per minute. A pump adds water at 120 gallons per minute. If the tank has 600 gallons initially, how many gallons will it contain after 10 minutes?

Accepted Answer

1,050

Answer

Net gain = 120 − 75 = 45 gal/min; after 10 min = 450 gallons added; 600 + 450 = 1,050 gallons.

Question 4

Firefighters laid hose in three sections measuring 150 ft, 225 ft, and 175 ft. They then removed a 50-ft section for a different deployment. What is the total remaining hose length?

Accepted Answer

500 ft

Answer

150 + 225 + 175 = 550 ft; 550 − 50 = 500 ft.

Question 5

A fire extinguisher weighing 12 lbs is placed on a shelf 5 feet from the floor. A second extinguisher weighing 18 lbs is on a shelf 3 feet from the floor. What is the combined weight of both extinguishers?

Accepted Answer

30 lbs

Answer

12 + 18 = 30 lbs (shelf heights are irrelevant to total weight).

NFSI - National Firefighter Selection Inventory Practice Test

NFSI - National Firefighter Selection Inventory Practice Test

NFSI Mathematical Reasoning and Facility 4