NFST Firefighter Math Reasoning Questions and Answers

Question 1

A fire engine is traveling to an emergency call 3 miles away. The engine travels at an average speed of 45 mph. How many minutes will it take to arrive at the scene?

Accepted Answer

4 minutes

Answer

6 minutes

Answer

3 minutes

Answer

5 minutes

Question 2

A circular water tank on a fire apparatus has a diameter of 6 feet and a height of 5 feet. What is the approximate volume of the tank in cubic feet? (Use π ≈ 3.14)

Accepted Answer

141.3 cubic feet

Answer

94.2 cubic feet

Answer

188.4 cubic feet

Answer

565.2 cubic feet

Question 3

A firefighter needs to create a 3% foam solution for a hydrocarbon fuel spill. If the total flow rate of the foam solution is 150 gallons per minute (GPM), how many gallons of foam concentrate are needed per minute?

Accepted Answer

4.5 gallons

Answer

3 gallons

Answer

9 gallons

Answer

6 gallons

Question 4

A pumper is supplying a hose line that is laid up a 50-foot hill. How much pressure is lost due to elevation (head loss) in pounds per square inch (PSI)? (Assume a loss of 0.5 PSI per foot of elevation).

Accepted Answer

25 PSI

Answer

50 PSI

Answer

100 PSI

Answer

12.5 PSI

Question 5

A fire department has 1,200 feet of 2.5-inch hose on an engine. If crews deploy three separate 150-foot sections and one 250-foot section, how many feet of hose remain on the engine?

Accepted Answer

650 feet

Answer

700 feet

Answer

450 feet

Answer

500 feet

Question 6

A fire engine carries 1,500 feet of supply hose. During an operation, crews lay out 4 sections of hose, each 100 feet long, and an additional 250-foot section. How much hose is left on the engine?

Accepted Answer

850 feet

Answer

950 feet

Answer

650 feet

Answer

1,150 feet

Question 7

A pump operator is preparing to charge a hose line. The required nozzle pressure is 100 PSI, the friction loss in the hose is calculated to be 40 PSI, and there is a 15 PSI loss from the appliance. There is no elevation change. What is the Net Pump Discharge Pressure (NPDP) required?

Accepted Answer

155 PSI

Answer

125 PSI

Answer

140 PSI

Answer

115 PSI