FCTC FREE FCTC Test Firefighter Mathematical Problems Questions and Answers 4 — Questions and Answers
Question 1: A fire engine travels at 45 mph for 20 minutes to reach a scene. How many miles does it travel?
- 12 miles
- 13 miles
- 15 miles (Correct answer)
- 18 miles
Correct answer: 15 miles
20 minutes = 1/3 hour; 45 × (1/3) = 15 miles.
Question 2: A rescue rope is 150 feet long. If 37.5 feet are used, what percentage of the rope remains?
- 65%
- 70%
- 75% (Correct answer)
- 80%
Correct answer: 75%
Remaining = 112.5 ft; 112.5 / 150 × 100 = 75%.
Question 3: A fire department responded to 312 calls last year. If 26% were false alarms, how many were actual emergencies?
- 220
- 225
- 231 (Correct answer)
- 235
Correct answer: 231
312 × 0.74 = 230.88 ≈ 231 actual emergencies.
Question 4: Water weighs approximately 8.34 pounds per gallon. How much does 200 gallons weigh?
- 1,568 lbs
- 1,628 lbs
- 1,668 lbs (Correct answer)
- 1,700 lbs
Correct answer: 1,668 lbs
8.34 × 200 = 1,668 pounds.
Question 5: A hose line loses 5 psi of pressure for every 100 feet of hose. How much pressure is lost over 600 feet?
- 25 psi
- 30 psi (Correct answer)
- 35 psi
- 40 psi
Correct answer: 30 psi
5 × (600/100) = 5 × 6 = 30 psi.
Question 6: A firefighter uses 12 minutes to don full gear and 3 minutes to check equipment. If a shift starts at 07:00, at what time is the firefighter fully ready?
- 07:12
- 07:15 (Correct answer)
- 07:18
- 07:20
Correct answer: 07:15
12 + 3 = 15 minutes; 07:00 + 15 min = 07:15.
Question 7: A fuel tank holds 85 gallons. The fire truck uses 6.5 gallons per hour. How many hours can the truck operate before refueling (round down)?
- 11 hours
- 12 hours
- 13 hours (Correct answer)
- 14 hours
Correct answer: 13 hours
85 ÷ 6.5 ≈ 13.08, rounded down to 13 hours.
FCTC FREE FCTC Test Firefighter Mathematical Problems Questions and Answers 4
A fire engine travels at 45 mph for 20 minutes to reach a scene.
How many miles does it travel?