FCTC Test Firefighter Mathematical Problems Questions and Answers 5

Question 1

A fire burns at an estimated rate consuming 50 square feet of floor space every 2 minutes. How many square feet are consumed in 14 minutes?

Accepted Answer

350 sq ft

Answer

Rate = 25 sq ft/min; 25 × 14 = 350 sq ft.

Question 2

A department budget allocates 65% to salaries, 20% to equipment, and the rest to operations. If the total budget is $4,000,000, how much goes to operations?

Accepted Answer

$600,000

Answer

Operations = 100% − 65% − 20% = 15%; $4,000,000 × 0.15 = $600,000.

Question 3

A hazmat exclusion zone is rectangular, measuring 400 feet by 250 feet. What is the area of the exclusion zone in square feet?

Accepted Answer

100,000 sq ft

Answer

Area = 400 × 250 = 100,000 square feet.

Question 4

Nozzle pressure is 100 PSI at the tip. If friction loss along the hose is 35 PSI, what pump discharge pressure is required?

Accepted Answer

135 PSI

Answer

Pump discharge pressure = nozzle pressure + friction loss = 100 + 35 = 135 PSI.

Question 5

A fire station stores 500 gallons of foam concentrate. Each foam application uses 12.5 gallons. How many full applications are available?

Accepted Answer

40

Answer

500 ÷ 12.5 = 40 full applications.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC Test Firefighter Mathematical Problems Questions and Answers 5