FCTC FCTC Test Firefighter Mathematical Problems Questions and Answers 5

Question 1

A fire spreads at 2 acres per hour. How many square feet does it cover in 30 minutes? (1 acre = 43,560 sq ft)

Accepted Answer

43,560 sq ft

Answer

In 30 min (0.5 hr), 2 × 0.5 = 1 acre = 43,560 sq ft.

Question 2

A map uses a scale of 1 inch = 500 feet. Two fire stations are 3.5 inches apart on the map. What is the actual distance?

Accepted Answer

1,750 feet

Answer

3.5 inches × 500 ft/inch = 1,750 feet.

Question 3

A fire engine uses 8 gallons of diesel per hour while pumping. How much fuel is consumed during a 3.5-hour operation?

Accepted Answer

28 gallons

Answer

8 × 3.5 = 28 gallons.

Question 4

A station's budget allocates 35% for equipment, 45% for salaries, and the rest for maintenance. If the total budget is $400,000, how much is for maintenance?

Accepted Answer

$80,000

Answer

Maintenance = 100% − 35% − 45% = 20%; 20% of $400,000 = $80,000.

Question 5

Water weighs approximately 8.33 pounds per gallon. What is the weight of water in a 750-gallon tank?

Accepted Answer

6,247.5 lbs

Answer

750 × 8.33 = 6,247.5 pounds.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC FCTC Test Firefighter Mathematical Problems Questions and Answers 5