NFSI Mathematical Reasoning and Facility 5

Question 1

A hose rated at 95 gallons per minute is used for 22 minutes, then replaced by one rated at 130 gallons per minute for 8 minutes. What is the total volume of water delivered?

Accepted Answer

3,130 gallons

Answer

95 × 22 = 2,090; 130 × 8 = 1,040; 2,090 + 1,040 = 3,130 gallons.

Question 2

A crew of 8 firefighters completes a training drill in 24 minutes. Assuming equal work rate, how long would 6 firefighters take to complete the same drill?

Accepted Answer

32 minutes

Answer

Total work = 8 × 24 = 192 person-minutes; 192 ÷ 6 = 32 minutes.

Question 3

Temperatures recorded at a fire scene over four hours were 1,200°F, 1,450°F, 1,380°F, and 1,170°F. What was the average temperature?

Accepted Answer

1,300°F

Answer

Sum = 5,200°F; 5,200 ÷ 4 = 1,300°F.

Question 4

A standpipe system must maintain pressure of at least 100 psi. If the system currently reads 65 psi, what percentage of the required pressure is it currently providing?

Accepted Answer

65%

Answer

65 ÷ 100 = 0.65 = 65% of required pressure.

Question 5

A firefighter uses 4.5 liters of air every minute from a 45-liter air cylinder. Approximately how many minutes of air remain if the cylinder is 80% full?

Accepted Answer

8 minutes

Answer

Available air = 45 × 0.80 = 36 liters; 36 ÷ 4.5 = 8 minutes.

NFSI - National Firefighter Selection Inventory Practice Test

NFSI - National Firefighter Selection Inventory Practice Test

NFSI Mathematical Reasoning and Facility 5