FCTC FREE FCTC Test Firefighter Mathematical Problems Questions and Answers 5

Question 1

A rectangular room measures 24 ft by 18 ft with a ceiling height of 10 ft. What is the total volume of the room?

Accepted Answer

4,320 cu ft

Answer

3,840 cu ft

Answer

4,800 cu ft

Answer

5,040 cu ft

Question 2

A firefighter carries a 35-pound hose pack and a 22-pound SCBA. If body weight is 185 pounds, what is the total load?

Accepted Answer

242 lbs

Answer

230 lbs

Answer

237 lbs

Answer

250 lbs

Question 3

A fire hydrant flows at 1,500 gpm. A pumper uses 650 gpm. What percentage of the hydrant's flow is being used?

Accepted Answer

43.3%

Answer

39.3%

Answer

41.7%

Answer

45.0%

Question 4

A fire station has 5 fire engines, each with a 500-gallon tank. If all tanks are 60% full, how many total gallons of water are available?

Accepted Answer

1,500 gallons

Answer

1,200 gallons

Answer

1,400 gallons

Answer

1,800 gallons

Question 5

A fire doubles in size every 4 minutes. If it starts at 50 square feet, what size is it after 12 minutes?

Accepted Answer

400 sq ft

Answer

300 sq ft

Answer

350 sq ft

Answer

450 sq ft

Question 6

A firefighter's schedule is 24 hours on duty followed by 48 hours off. How many days does the firefighter work in a 30-day month?

Accepted Answer

10 days

Answer

8 days

Answer

9 days

Answer

12 days

Question 7

A nozzle discharges 95 gpm. A backup nozzle discharges 60 gpm. What is the combined discharge rate?

Accepted Answer

155 gpm

Answer

145 gpm

Answer

150 gpm

Answer

160 gpm