FCTC Math Problems 2024 Exam
Engine 17 is 7ft in length, 5ft wide,and 3ft deep. How much water can be held in Engine 17's water tank? (L x W x H = Volume) - Answer- 105 ft sq
A tank with a 12ft diameter holds 864 gallons per foot of depth. How many gallons with a tank of 12ft diameter hold if it's 5ft deep? - Answer- 4,320 gallons
Engine 33 is traveling 351 miles to assist in a mutual aid. They have to drive 216 miles in 4 hours, what is their average speed? - Answer- 54 miles
There are 6 sections of 100ft wildland hose, and 9 sections of 80ft structural hose. 5 sections of structural hose fail. What is the total amount of structural hose that failed? - Answer- 400ft failed
Engine carries 1,100ft of 2 1/2 inch, 900ft of 4 inch, and 1,000ft of 4 1/2 inch. If the 4 inch was removed, what percentage was removed from the total? - Answer- 30%
How many acres were burned? - Answer- 6.88 acres
For a fire on the 4th floor, you need to have 100psi at the nozzle, for each floor above the first floor you lose 5 psi, for every 100ft of hose you lose 15 psi. There are 400ft of hose used to get to the fire. What is the total pressure needed at the engine? - Answer- 175 psi
How many cubic feet of water can a Captain expect the tank to hold? - Answer- 1,385
An engine pumps 1,450 gallons per minute, how many gallons will be pumped in 5.5 minutes? (1,450 gals per min x 5.5 minutes = X) - Answer- 7,975 gallons
If an acre is equal to 43,560 square ft and a fire burned 250ft wide and 1,200ft long, how many acres were burned? (L x W =Area; 250 x 1,200 = 300,000; 300,000/43,560 =
6.88 acres) - Answer- 6.88 acres
The tank is 14ft in diameter and 9ft tall. How many cubic feet of water can the Captain expect the tank to hold? (Volume = πr2 x h; V = 3.14(7 squared) x 9) - Answer- 1,384.74 Cubic ft
1/4th of her back burned, 1/4th of her forehead burned, 1/3rd of her head burned, 1/2 oh
her arm burned. Determine what percentage total is burned.
Engine 17 is 7ft in length, 5ft wide,and 3ft deep. How much water can be held in Engine 17's water tank? (L x W x H = Volume) - Answer- 105 ft sq
A tank with a 12ft diameter holds 864 gallons per foot of depth. How many gallons with a tank of 12ft diameter hold if it's 5ft deep? - Answer- 4,320 gallons
Engine 33 is traveling 351 miles to assist in a mutual aid. They have to drive 216 miles in 4 hours, what is their average speed? - Answer- 54 miles
There are 6 sections of 100ft wildland hose, and 9 sections of 80ft structural hose. 5 sections of structural hose fail. What is the total amount of structural hose that failed? - Answer- 400ft failed
Engine carries 1,100ft of 2 1/2 inch, 900ft of 4 inch, and 1,000ft of 4 1/2 inch. If the 4 inch was removed, what percentage was removed from the total? - Answer- 30%
How many acres were burned? - Answer- 6.88 acres
For a fire on the 4th floor, you need to have 100psi at the nozzle, for each floor above the first floor you lose 5 psi, for every 100ft of hose you lose 15 psi. There are 400ft of hose used to get to the fire. What is the total pressure needed at the engine? - Answer- 175 psi
How many cubic feet of water can a Captain expect the tank to hold? - Answer- 1,385
An engine pumps 1,450 gallons per minute, how many gallons will be pumped in 5.5 minutes? (1,450 gals per min x 5.5 minutes = X) - Answer- 7,975 gallons
If an acre is equal to 43,560 square ft and a fire burned 250ft wide and 1,200ft long, how many acres were burned? (L x W =Area; 250 x 1,200 = 300,000; 300,000/43,560 =
6.88 acres) - Answer- 6.88 acres
The tank is 14ft in diameter and 9ft tall. How many cubic feet of water can the Captain expect the tank to hold? (Volume = πr2 x h; V = 3.14(7 squared) x 9) - Answer- 1,384.74 Cubic ft
1/4th of her back burned, 1/4th of her forehead burned, 1/3rd of her head burned, 1/2 oh
her arm burned. Determine what percentage total is burned.
