FCTC Firefighter Math Applications 5

Question 1

A warehouse measures 120 feet × 80 feet. Fire code requires 1 sprinkler head per 144 square feet. How many sprinkler heads are needed?

Accepted Answer

66

Answer

Area = 120 × 80 = 9,600 sq ft; 9,600 ÷ 144 = 66.67, rounded up to 67… so correct answer is 67.

Question 2

A department purchased 6 sets of turnout gear at $1,850 each and 6 SCBAs at $3,200 each. What was the total equipment cost?

Accepted Answer

$30,300

Answer

(6 × $1,850) + (6 × $3,200) = $11,100 + $19,200 = $30,300.

Question 3

A fire crew must drain a flooded basement holding 4,500 gallons. Their pump removes 75 gallons per minute. How long will it take to drain the basement?

Accepted Answer

60 minutes

Answer

4,500 ÷ 75 = 60 minutes.

Question 4

Engine 3 uses 12 gallons of diesel fuel per hour. If the tank holds 60 gallons and starts full, how long can it run before refueling?

Accepted Answer

5 hours

Answer

60 ÷ 12 = 5 hours of operation.

Question 5

During a wildland fire, a crew constructs a firebreak at a rate of 200 feet per hour. If the fire is 1.5 miles away and traveling at 400 feet per hour, how many hours does the crew have before the fire arrives?

Accepted Answer

19.8 hours

Answer

1.5 miles = 7,920 feet; 7,920 ÷ 400 ft/hr = 19.8 hours.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC Firefighter Math Applications 5