FCTC Firefighter Mathematical Problems 2

Question 1

A fire engine pump is operating at 150 psi engine pressure. Friction loss in the 200-foot hose line is 20 psi. What is the nozzle pressure?

Accepted Answer

130 psi

Answer

120 psi

Answer

150 psi

Answer

170 psi

Question 2

A fire extinguisher rated at 2.5 lbs/minute discharges for 45 seconds. How many pounds of agent are discharged?

Accepted Answer

1.875 lbs

Answer

1.50 lbs

Answer

1.75 lbs

Answer

2.00 lbs

Question 3

A structure measures 40 ft × 60 ft × 10 ft. What is the total volume of the structure in cubic feet?

Accepted Answer

24,000 cu ft

Answer

18,000 cu ft

Answer

20,000 cu ft

Answer

26,000 cu ft

Question 4

Station response data shows 120 calls in January, 95 in February, and 110 in March. What is the average monthly call volume for this period?

Accepted Answer

108.3

Answer

105

Answer

110

Answer

112

Question 5

A fire hose 50 feet long needs to be replaced. If replacement hose costs $4.50 per foot, what is the total cost?

Accepted Answer

$225.00

Answer

$200.00

Answer

$215.00

Answer

$230.00

Question 6

A ladder is 35 feet long and must be placed at a 75-degree angle. Using the 1-in-4 rule, how far from the building should the base be placed?

Accepted Answer

8.75 ft

Answer

7.0 ft

Answer

9.5 ft

Answer

10.25 ft