FCTC Test FCTC Firefighter Math Applications 1

Question 1

Two hose lines are operating simultaneously at a structure fire. Line A flows 125 GPM and Line B flows 175 GPM. How many total gallons are discharged after 6 minutes?

Accepted Answer

1,800 gallons

Answer

Add both flow rates: 125 + 175 = 300 GPM combined. Multiply by time: 300 × 6 = 1,800 gallons total discharged.

Question 2

A fire engine's water tank holds 500 gallons. The engine pumps at 80 GPM for 4 minutes before a water supply is established. How many gallons remain in the tank?

Accepted Answer

180 gallons

Answer

Water used = 80 GPM × 4 minutes = 320 gallons. Remaining = 500 − 320 = 180 gallons.

Question 3

A ground ladder must reach the roof of a 60-foot building. The base of the ladder is placed 15 feet from the building wall. Using the Pythagorean theorem (c² = a² + b²), what is the minimum ladder length needed?

Accepted Answer

Approximately 62 feet

Answer

c² = 60² + 15² = 3,600 + 225 = 3,825. √3,825 ≈ 61.8 feet, so a ladder of at least 62 feet is required.

Question 4

A fire crew works a 24-hour shift and spends a total of 7.5 hours on active structure-fire operations. What percentage of the shift was spent on structure fires?

Accepted Answer

31.25%

Answer

Divide active time by total shift time and multiply by 100: (7.5 ÷ 24) × 100 = 31.25%.

Question 5

A pump operator needs to fill a tanker truck that holds 3,000 gallons. The pump discharges water at 300 GPM. How many minutes will it take to fill the tanker?

Accepted Answer

10 minutes

Answer

Divide the total volume by the flow rate: 3,000 ÷ 300 = 10 minutes to fill the tanker.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC Test FCTC Firefighter Math Applications 1