FCTC Math Test | Expert Verified Questions
and Answers | Most Recent 2026 Update
• A tank with 12' diameter holds 864 gallons per foot of depth, how many gallons will a
tank with 12' diameter hold if it is 5' deep? -✓✓ 4320
• Engine 33 is traveling 351 miles to a mutual aid. They have to drive 216 miles in 4
hours, what is their average speed? -✓✓ 54mph
• There are 6 sections of 100' Wildland hose and 9 sections of 80' structural hose. 5
sections of structural hose fail. What is the total amount of structural hose that failed? -
✓✓ 400ft
• Engine carries 1,100 ft of 2 1/2 inch, 900ft of 4 inch and 1,000ft of 4 1/2 in; if the 4 inch
was removed, what percentage was removed? -✓✓ 30%
• For a fire on the fourth floor, you need 100 psi at the nozzle, for each floor above the
first floor you lose 5 psi, for every 100ft of hose you lose 15 psi. There is 400ft of hose
used to get to the fire, what is the total pressure needed at the engine? -✓✓ 175 psi
• Engine pumps 1450 gallons per minute, how many gallons will it pump in 5 1/2 min? -
✓✓ 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? -✓✓ 6.88 Acres
• 1/4 of back burned, 1/4 of front burned, 1/3 of her head burned, 1/2 of her armed
burned. What is the percentage of the total burn?
Entire back =20% Entire Front=20% Entire head=15% Entire arm=15% -✓✓ 22.5%
• County responded to 18,462 calls. 44% of the calls were vehicle accident. What is the
total number of vehicle accident? -✓✓ 8,123.28
• Entire fire crew work 1 week and 4 days. How many total hours did the fire crew work?
-✓✓ 264 hours
• Engine is 50ft from the front door, you need 100ft of hose on the fire floor. Fire is on
3rd floor . 15 ft of hose per floor below fire. How many of feet of hose are needed? -✓✓
180 ft
• Narc Fentanyl, comes in 100 mcg in 2 mL pre-loads. Your patient needs 75mcg. How
many mL will you administer IV? -✓✓ 1.5mL
and Answers | Most Recent 2026 Update
• A tank with 12' diameter holds 864 gallons per foot of depth, how many gallons will a
tank with 12' diameter hold if it is 5' deep? -✓✓ 4320
• Engine 33 is traveling 351 miles to a mutual aid. They have to drive 216 miles in 4
hours, what is their average speed? -✓✓ 54mph
• There are 6 sections of 100' Wildland hose and 9 sections of 80' structural hose. 5
sections of structural hose fail. What is the total amount of structural hose that failed? -
✓✓ 400ft
• Engine carries 1,100 ft of 2 1/2 inch, 900ft of 4 inch and 1,000ft of 4 1/2 in; if the 4 inch
was removed, what percentage was removed? -✓✓ 30%
• For a fire on the fourth floor, you need 100 psi at the nozzle, for each floor above the
first floor you lose 5 psi, for every 100ft of hose you lose 15 psi. There is 400ft of hose
used to get to the fire, what is the total pressure needed at the engine? -✓✓ 175 psi
• Engine pumps 1450 gallons per minute, how many gallons will it pump in 5 1/2 min? -
✓✓ 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? -✓✓ 6.88 Acres
• 1/4 of back burned, 1/4 of front burned, 1/3 of her head burned, 1/2 of her armed
burned. What is the percentage of the total burn?
Entire back =20% Entire Front=20% Entire head=15% Entire arm=15% -✓✓ 22.5%
• County responded to 18,462 calls. 44% of the calls were vehicle accident. What is the
total number of vehicle accident? -✓✓ 8,123.28
• Entire fire crew work 1 week and 4 days. How many total hours did the fire crew work?
-✓✓ 264 hours
• Engine is 50ft from the front door, you need 100ft of hose on the fire floor. Fire is on
3rd floor . 15 ft of hose per floor below fire. How many of feet of hose are needed? -✓✓
180 ft
• Narc Fentanyl, comes in 100 mcg in 2 mL pre-loads. Your patient needs 75mcg. How
many mL will you administer IV? -✓✓ 1.5mL
