FCTC Test Firefighter Mathematical Problems Questions and Answers 3 — Questions and Answers
Question 1: A fire hose delivers water at 250 gallons per minute. How many gallons are delivered in 18 minutes?
- 4,000 gallons
- 4,250 gallons
- 4,500 gallons (Correct answer)
- 4,750 gallons
Correct answer: 4,500 gallons
250 × 18 = 4,500 gallons.
Question 2: A ladder truck is 42 feet long when stored and extends to 105 feet. What is the percent increase in length?
- 60%
- 100%
- 150% (Correct answer)
- 250%
Correct answer: 150%
(105 − 42) / 42 × 100 = 150%.
Question 3: Firefighter pay is $52,000 per year. What is the bi-weekly paycheck amount (26 pay periods)?
- $1,800
- $2,000 (Correct answer)
- $2,200
- $2,400
Correct answer: $2,000
$52,000 ÷ 26 = $2,000 per bi-weekly paycheck.
Question 4: A station has 3 engines, 2 ladder trucks, and 1 rescue unit. What fraction of the fleet are ladder trucks?
- 1/3 (Correct answer)
- 1/4
- 1/6
- 2/5
Correct answer: 1/3
Total vehicles = 6; ladder trucks = 2; 2/6 = 1/3.
Question 5: A firefighter burns approximately 800 calories per hour during active firefighting. How many calories are burned in 45 minutes?
- 400
- 500
- 600 (Correct answer)
- 700
Correct answer: 600
800 × (45/60) = 800 × 0.75 = 600 calories.
Question 6: An aerial ladder must maintain a safe working angle between 60° and 75°. At 70° with a horizontal reach of 30 feet, this is considered:
- Outside the safe range
- At the minimum safe angle
- Within the safe range (Correct answer)
- At the maximum safe angle
Correct answer: Within the safe range
70° falls between 60° and 75°, so it is within the safe working range.
Question 7: A building is 6 stories tall with each story averaging 12 feet. An aerial ladder reaches 85 feet. How many feet above the 6th-floor windowsill (at 72 feet) does the ladder extend?
- 11 feet
- 13 feet (Correct answer)
- 15 feet
- 17 feet
Correct answer: 13 feet
85 − 72 = 13 feet above the 6th-floor windowsill.
A fire hose delivers water at 250 gallons per minute.
How many gallons are delivered in 18 minutes?