Firefighter Mathematics 2 — Questions and Answers
Question 1: A fire hose loses 5 psi of pressure for every 50 feet of length. If the hose is 250 feet long, what is the total pressure loss?
- 20 psi
- 25 psi (Correct answer)
- 30 psi
- 15 psi
Correct answer: 25 psi
250 / 50 = 5 sections, and 5 x 5 psi = 25 psi.
Question 2: A water tank holds 1,200 gallons and drains at 80 gallons per minute. How long until it is empty?
- 12 minutes
- 15 minutes (Correct answer)
- 18 minutes
- 20 minutes
Correct answer: 15 minutes
1,200 / 80 = 15 minutes.
Question 3: What is 35% of 240?
- 72
- 84 (Correct answer)
- 96
- 108
Correct answer: 84
0.35 x 240 = 84.
Question 4: A ladder reaches a window 24 feet up when its base is 7 feet from the wall. How long is the ladder?
- 23 feet
- 25 feet (Correct answer)
- 26 feet
- 31 feet
Correct answer: 25 feet
By the Pythagorean theorem, sqrt(24^2 + 7^2) = sqrt(625) = 25 feet.
Question 5: A pump moves 300 gallons in 4 minutes. At this rate, how many gallons does it move in 10 minutes?
- 650
- 700
- 750 (Correct answer)
- 800
Correct answer: 750
300 / 4 = 75 gpm, and 75 x 10 = 750 gallons.
Question 6: If a firefighter works a 24-hour shift and rests 16 hours, what fraction of the shift is spent resting?
- 1/2
- 2/3 (Correct answer)
- 1/3
- 3/4
Correct answer: 2/3
16/24 simplifies to 2/3.
Question 7: A rectangular room measures 18 feet by 12 feet. What is its area?
- 196 sq ft
- 216 sq ft (Correct answer)
- 230 sq ft
- 240 sq ft
Correct answer: 216 sq ft
18 x 12 = 216 square feet.
Firefighter Mathematics 2
A fire hose loses 5 psi of pressure for every 50 feet of length.
If the hose is 250 feet long, what is the total pressure loss?