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

24 × 18 × 10 = 4,320 cubic feet.

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

185 + 35 + 22 = 242 pounds.

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

650 / 1,500 × 100 = 43.3%.

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

5 × 500 × 0.60 = 1,500 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

In 12 minutes the fire doubles 3 times: 50 × 2³ = 50 × 8 = 400 sq ft.

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