FCTC FCTC Test Firefighter Mathematical Problems Questions and Answers 3

Question 1

Water pressure in a hose is 80 psi at street level. For every 10 feet of elevation gained, pressure drops 4.34 psi. What is the pressure at a nozzle 50 feet above street level?

Accepted Answer

58.3 psi

Answer

59.8 psi

Answer

61.7 psi

Answer

63.2 psi

Question 2

A fire department responds to 1,248 calls in a year. If 37.5% are false alarms, how many calls are actual emergencies?

Accepted Answer

780 calls

Answer

720 calls

Answer

812 calls

Answer

840 calls

Question 3

A cylindrical water tank has a radius of 5 feet and a height of 12 feet. Using π ≈ 3.14, what is the volume of the tank in cubic feet?

Accepted Answer

942 cubic feet

Answer

848 cubic feet

Answer

1,034 cubic feet

Answer

786 cubic feet

Question 4

A firefighter uses an air cylinder that lasts 30 minutes at a normal work rate. If the firefighter is working at high exertion and the cylinder lasts only 65% as long, how many minutes will it last?

Accepted Answer

19.5 minutes

Answer

17.5 minutes

Answer

18.5 minutes

Answer

20.5 minutes

Question 5

A fire hose 200 feet long loses 5 psi of friction per 50 feet of hose. If the pump supplies 120 psi, what is the nozzle pressure?

Accepted Answer

100 psi

Answer

95 psi

Answer

105 psi

Answer

110 psi

Question 6

A fire station budget allocates $240,000 for equipment. If 15% is spent on protective gear, 25% on vehicles, and the remainder on tools and training, how much is spent on tools and training?

Accepted Answer

$144,000

Answer

$120,000

Answer

$136,000

Answer

$152,000