FCTC MATH PROBLEMS 2022 EXAM QUESTIONS

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FCTC MATH PROBLEMS 2022 EXAM QUESTIONS

Actual Qs and Ans Expert-Verified Explanation

This Exam contains:

-Guarantee passing score -19 Questions and Answers -format set of multiple-choice -Expert-Verified Explanation Question 1: 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

Question 2: How many 2 pints will fill a 5 gallon drum?

Answer:

20 pints

Question 3: How many cubic feet of water can a Captain expect the tank to hold?

Answer:

1,385 Question 4: 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.entire back = 20% entire front = 20 % entire head = 15% entire arm = 15% (1/4 forehead = 5%; 1/4 back = 5%; 1/3 head =5%; 1/2 arm = 7.5%)

Answer:

22.5% burned Question 5: You and your 3 firefighters work 1 week and 4 days. How many hours has your crew been there for? (1 day = 24hrs; 4 days = 96hrs; 24hrs x 11 days = X)

Answer:

264 hours total Question 6: County responded to 18,462 calls. 44% of the calls were vehicle accidents. What is the total number of vehicle accidents? (18,462 x .44 = X)`

Answer:

8,123.28 vehicle accidents Question 7: 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

Question 8: Average money for dinner?

Answer:

$14.29

Question 9: 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%

Question 10: How many acres were burned?

Answer:

6.88 acres

Question 11: Total chains that the crew cuts?

Answer:

• chains each

Question 12: 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 Question 13: 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 Question 14: 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

Question 15: Fire increase from 2009 to 2014 is how much percent?

Answer:

145% Question 16: 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 Question 17: What is the minimum length ladder needed to reach the roof of a 3 story house?Building story average is 12ft floor to floor, and the distance from the window sill is.... (floor to floor = 12ft; 3 stories x 12ft = 36ft; place ladders 3-5 rungs above the window sill or roof)

Answer:

40ft minimum Question 18: 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

Question 19: The tank is 14ft in diameter and 9ft tall. How many cubic feet of water can the Captain expect the tank to hold? (Volume = ?r2 x h; V = 3.14(7 squared) x 9)

Answer:

1,384.74 Cubic ft