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FCTC MATH & MECHANICAL EXAM QUESTIONS AND ANSWERS UPDATED (2025/2026) (VERIFIED ANSWERS), Exams of Safety and Fire Engineering

Engine carries 1,100 ft of 2 ½ inch, 900 ft of 4 inch and 1000ft of 4 ½ in; if the 4 inch was removed, what percentage was removed? - ANS ✓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 are 400 ft of hose used to get to the fire, what is the total pressure needed at the engine? - ANS ✓175 psi

Typology: Exams

2024/2025

Available from 07/11/2025

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FCTC
FCTC MATH
FCTC MATH & MECHANICAL EXAM QUESTIONS
AND ANSWERS UPDATED (2025/2026)
(VERIFIED ANSWERS)
Engine carries 1,100 ft of 2 ½ inch, 900 ft of 4 inch and 1000ft of 4 ½ in; if
the 4 inch was removed, what percentage was removed? - ANS 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 are 400 ft of hose used to get to the fire, what is the total pressure
needed at the engine? - ANS 175 psi
Engine Pumps 1450 gallons per minute, how many gallons in 5.5 minutes? -
ANS 7975 gallons
If an acre is equal to 43,560 square ft and fire burned 250 ft wide ad 1200ft
long, how many acres were burned? - ANS 6.88 acres
¼ of her back burned, ¼ of her front burned, 1/3 of her head burned, ½ of
her arm burned. Determine what percentage total is burned? - ANS 22.5%
County responded to 18,462 calls. 44% of the calls were vehicle accidents.
What is the total number of vehicle accidents? - ANS 8123.28
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FCTC

FCTC MATH & MECHANICAL EXAM QUESTIONS

AND ANSWERS UPDATED (202 5 /202 6 )

(VERIFIED ANSWERS)

Engine carries 1,100 ft of 2 ½ inch, 900 ft of 4 inch and 1000ft of 4 ½ in; if the 4 inch was removed, what percentage was removed? - ANS ✓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 are 400 ft of hose used to get to the fire, what is the total pressure needed at the engine? - ANS ✓175 psi Engine Pumps 1450 gallons per minute, how many gallons in 5.5 minutes? - ANS ✓7975 gallons If an acre is equal to 43,560 square ft and fire burned 250 ft wide ad 1200ft long, how many acres were burned? - ANS ✓6.88 acres ¼ of her back burned, ¼ of her front burned, 1/3 of her head burned, ½ of her arm burned. Determine what percentage total is burned? - ANS ✓22.5% County responded to 18,462 calls. 44% of the calls were vehicle accidents. What is the total number of vehicle accidents? - ANS ✓8123.

FCTC

You and your 3 firefighters.. 1 week and 4 days how many hours has your crew been theres? - ANS ✓ 264 What is the minimum length ladder needed to reach the roof of a 3 story house? Building story average 12 ft floor to floor ad the distance from the window sill is - ANS ✓40 ft Ladders w/ pulley easiest to raise - ANS ✓2 pulleys (most pulleys) Saws that will make most rotations to cut material - ANS ✓10" blade Wheel that makes most rotations to cut material - ANS ✓Smallest wheel Farthest traveling wheel - ANS ✓Thick wheel (4 inches) Rescue patient under car, placement - ANS ✓Closest to victim Jack lift to raise jack - ANS ✓A moves left because B decreases right How many wheels and moving clockwise? - ANS ✓ 3

FCTC

7ft in length, 5 ft wide and 3 ft deep, how much water can be held in Engine 17s water tank? - ANS ✓105 squared 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? - ANS ✓ 4320 Engine 33 is traveling 351 miles to assist in mutual aid. They have to drive 216 miles in 4 hours, what is their average speed? - ANS ✓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? - ANS ✓400 ft