FCTC Firefighter Math Applications 2

Question 1

A hose line flows 150 gallons per minute. How many gallons will be discharged in 8 minutes?

Accepted Answer

1,200 gallons

Answer

150 GPM × 8 minutes = 1,200 gallons.

Question 2

A building is 60 feet tall. If a ladder reaches 85% of the building's height, how high does the ladder reach?

Accepted Answer

51 feet

Answer

60 × 0.85 = 51 feet.

Question 3

Firefighter Jones works a 24-hour shift every 3 days. How many shifts will she work in a 30-day month?

Accepted Answer

10 shifts

Answer

30 ÷ 3 = 10 shifts.

Question 4

A fire apparatus tank holds 500 gallons. If 320 gallons remain after suppression, what percentage has been used?

Accepted Answer

64%

Answer

(500 - 320) ÷ 500 × 100 = 180 ÷ 500 × 100 = 36%… wait: 180/500 = 0.36 = 36%.

Question 5

An aerial ladder is extended to 75 feet at a 70-degree angle. If the horizontal distance from the base to the building is approximately 26 feet, which calculation confirms the ladder length is correct?

Accepted Answer

26 ÷ cos(70°)

Answer

The horizontal distance equals ladder length × cos(angle), so ladder length = horizontal distance ÷ cos(70°).

FCTC Test Practice Test

FCTC Test Practice Test

FCTC Firefighter Math Applications 2