FCTC Math

Average money for dinner

$14.29

If gas costs $3.29 per gallon and you purchase 6.5 gallons, how much money will you spend?

$21.39

If sales tax is 18% and a new pair of fire gloves cost $35.25, then what is your total cost for the gloves?

$41.60

Formula for determining the head pressure difference between and intake and output

1 vertical foot = 0.433psi 1psi = 2.31 vertical feet

Volume of a tank with Diameter 14' and a Height of 9'

1,385 Cubic 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

7ft length 5 ft wife and 3ft deep, how much water can be held in engine 17's water tank?

105 cubic ft

During a preplan process of a building, you must obtain the square footage. You have a strip mall with two occupancies. One occupancy measures 96' x 52' and the other measures 114' x 52'. What is the approximate square footage for this building?

11,000

Fire increase between 2009-2014?

145%

In the fire academy, we had a ratio of 7 to 5 passing grades to failing. How many of the 36 students failed?

15

The one about the engine pump. The tank holds 500 gallons. How much time do you have left in 90 seconds if you are flowing at 125 gpm?

150 seconds

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

If a fire apparatus bay is 56 feet long and the fire apparatus is 38 feet long, how many feet is left over in the bay?

18 ft

Engine is 50ft from the front door, you need 100ft of hose on the fire floor. 15 ft of hose per floor below fire. How many of feet of hose are needed?

180 ft

L111 gets 4 miles per gallon. If L111 drives 76 miles how many gallons of diesel will it have used? Round to the nearest whole number.

19

How many 2 pints will fit in a 5 gallon drum?

20 pints

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%

66 feet in a chain, on average a firefighter can cut 10 chains in an hour. How many yards can he cut in an hour?

220 yards

Residential floors are typically 12 ft high. The window 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?

24 ft ladder

Class K Fire Extinguisher needs to be 30 feet from the farthest cooking device and near the next door, stove is 20ft from the door. Pizza oven is 40ft from the door and the fryer is 25ft from door. Where does the extinguisher need to be placed?

25 ft

Station 3's coffee fund is $12; the total amount in stations 3's expense fund is $48. What percent of the total fund goes towards coffee?

25%

Entire fire crew work 1 week and 4 days. How many total hours did the fire crew work?

264 hours

If a tank with a 12' diameter holds 670 gallons per foot of depth, how many gallons will a tank with a 12' diameter hold if it's 5' deep?

3,350

You have an 8 gallon tank you have to fill. Each bottle is 2.5 gallons. How many is required to fill the 8 gallon

3.2

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%

Engine 19 travels 5.45 gpm. They traveled 185 miles. How many gallons did they use?

33 (33.94)

Tank 1. 830 gallons x 2ft depth = 1660 Tank 2. 670 gallons x 2ft depth = 1340

330

What is the minimum length ladder needed to reach the roof of a 3 story house? Building story average 12 ft floor and 4 ft for distance of Windowsill

40 ft

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

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

Total cost 12.4+14.2+14.4+12.2

53.2

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

Total chains crew cuts

6

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

Engine pumps 1450 gallons per minute, how many gallons will it pump in 5 1/2 min?

7,975 gallons

3 different sizes of horse. You are given the total amount of hose, total, but you have to determine how much that was used?

700ft

County responded to 18,462 calls. 44% of the calls were vehicle accident. What is the total number of vehicle accident?

8,123.28

Plastic fire helmets cost $500 per gross in 2014. In 2016, the cost per gross dropped to $100. What is the percent of decrease in cost per gross?

80%

Engine 5 has a fell water tank that holds 100 gallons, Engine 7 holds 1,250 gallons of water and is full. With a total of three hose lines flowing, each at 125 gpm on a fully involved barn fire. How many 3,500 gallon water tenders would be required to sustain this operation for 1.5 hours?

9 Water tenders including engine 5 and engine 7

Boys and girls get 60 votes for class president. A ratio 3:2. How many votes do boys get?

Boys 36 girls 24

If engine 1 is responding to a call 4.5 miles away and has an average speed of 50 mph and engine 2 is responding to the same call and has to go 6 miles with and average speed of 55 mph. Who will be on scene first and by how much time?

Engine 1 by 1 minute and 9 seconds

If engine 1 has a 40 gallon tank and gets 15 miles per gallon and engine 2 has a 35 gallon tank and gets 17 miles per gallon, both engines go the same distance, which engine will run out of fuel first and which engine would drive further?

Engine 1 will run out of fuel first and go 5 miles more than Engine 2

Engine 1 has a tank that hold 40 gal tank and gets 15mpg. While engine 2 tank hold 35 gallons and get 17mpg. Which engine will go further and which engine will run out of fuel first?

Engine 2 will go 5 miles less than Engine 1 and Engine 1 will run out of fuel first

You and your crew are buying dinner, there are 7 of you. Each person chips in $9. Dinner costs $64.44

Over $1.44

What two vehicles would fit in the app bay if they were stacked on each other?

Squad 23ft and battalion 9 15ft