FCTC MATH TEST WITH ANSWERS
1. Average money for dinner $14.29
2. How many 2 pints will fit in a 5 gallon drum? 20 pints
3. Fire increase between 2009-2014? 145%
4. Total chains crew cuts 6
5. Total cost 12.4+14.2+14.4+12.2 53.2
6. 7ft length 5 ft wife and 3ft deep, how much water can 105 cubic ft
be held in engine 17's water tank?
7. A tank with 12' diameter holds 864 gallons per foot of 4320
depth, how many gallons will a tank with 12' diameter
hold if it is 5' deep?
8. Engine 33 is traveling 351 miles to a mutual aid. They 54mph
have to drive 216 miles in 4 hours, what is their aver-
age speed?
9. There are 6 sections of 100' Wildland hose and 9 sec- 400ft
tions of 80' structural hose. 5 sections of structural
hose fail. What is the total amount of structural hose
that failed?
10. Engine carries 1,100 ft of 2 1/2 inch, 900ft of 4 inch 30%
and 1,000ft of 4 1/2 in; if the 4 inch was removed, what
percentage was removed?
11. For a fire on the fourth floor, you need 100 psi at the 175 psi
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?
12. Engine pumps 1450 gallons per minute, how many 7,975 gallons
gallons will it pump in 5 1/2 min?
13. 6.88 Acres
1/5
, FCTC MATH TEST WITH ANSWERS
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?
14. 1/4 of back burned, 1/4 of front burned, 1/3 of her 22.5%
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%
15. Volume of a tank with Diameter 14' and a Height of 9' 1,385 Cubic Ft
16. County responded to 18,462 calls. 44% of the calls 8,123.28
were vehicle accident. What is the total number of
vehicle accident?
17. Entire fire crew work 1 week and 4 days. How many 264 hours
total hours did the fire crew work?
18. What is the minimum length ladder needed to reach 40 ft
the roof of a 3 story house? Building story average 12
ft floor and 4 ft for distance of
Windowsill
19. Engine is 50ft from the front door, you need 100ft of 180 ft
hose on the fire floor. 15 ft of hose per floor below fire.
How many of feet of hose are needed?
20. Narc Fentanyl, comes in 100 mcg in 2 mL pre-loads. 1.5mL
Your patient needs 75mcg. How many mL will you
administer IV?
21. Residential floors are typically 12 ft high. The window 24 ft ladder
sill is 4 ft above the floor. It's standard to have top
of ladder 4 ft above window sill or roof. What is the
minimum ladder height required for a 2 story window?
22. If engine 1 is responding to a call 4.5 Engine 1 by 1
miles away and has an average minute and 8 sec-
speed of 50 mph and engine 2 is onds
2/5
1. Average money for dinner $14.29
2. How many 2 pints will fit in a 5 gallon drum? 20 pints
3. Fire increase between 2009-2014? 145%
4. Total chains crew cuts 6
5. Total cost 12.4+14.2+14.4+12.2 53.2
6. 7ft length 5 ft wife and 3ft deep, how much water can 105 cubic ft
be held in engine 17's water tank?
7. A tank with 12' diameter holds 864 gallons per foot of 4320
depth, how many gallons will a tank with 12' diameter
hold if it is 5' deep?
8. Engine 33 is traveling 351 miles to a mutual aid. They 54mph
have to drive 216 miles in 4 hours, what is their aver-
age speed?
9. There are 6 sections of 100' Wildland hose and 9 sec- 400ft
tions of 80' structural hose. 5 sections of structural
hose fail. What is the total amount of structural hose
that failed?
10. Engine carries 1,100 ft of 2 1/2 inch, 900ft of 4 inch 30%
and 1,000ft of 4 1/2 in; if the 4 inch was removed, what
percentage was removed?
11. For a fire on the fourth floor, you need 100 psi at the 175 psi
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?
12. Engine pumps 1450 gallons per minute, how many 7,975 gallons
gallons will it pump in 5 1/2 min?
13. 6.88 Acres
1/5
, FCTC MATH TEST WITH ANSWERS
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?
14. 1/4 of back burned, 1/4 of front burned, 1/3 of her 22.5%
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%
15. Volume of a tank with Diameter 14' and a Height of 9' 1,385 Cubic Ft
16. County responded to 18,462 calls. 44% of the calls 8,123.28
were vehicle accident. What is the total number of
vehicle accident?
17. Entire fire crew work 1 week and 4 days. How many 264 hours
total hours did the fire crew work?
18. What is the minimum length ladder needed to reach 40 ft
the roof of a 3 story house? Building story average 12
ft floor and 4 ft for distance of
Windowsill
19. Engine is 50ft from the front door, you need 100ft of 180 ft
hose on the fire floor. 15 ft of hose per floor below fire.
How many of feet of hose are needed?
20. Narc Fentanyl, comes in 100 mcg in 2 mL pre-loads. 1.5mL
Your patient needs 75mcg. How many mL will you
administer IV?
21. Residential floors are typically 12 ft high. The window 24 ft ladder
sill is 4 ft above the floor. It's standard to have top
of ladder 4 ft above window sill or roof. What is the
minimum ladder height required for a 2 story window?
22. If engine 1 is responding to a call 4.5 Engine 1 by 1
miles away and has an average minute and 8 sec-
speed of 50 mph and engine 2 is onds
2/5
