FCTC Firefighter Math Applications Questions and Answers 5 — Questions and Answers
Question 1: A foam solution requires a 3% concentrate mixture. How many gallons of foam concentrate are needed to make 200 gallons of solution?
- 4 gallons
- 6 gallons (Correct answer)
- 8 gallons
- 10 gallons
Correct answer: 6 gallons
Concentrate = 200 × 0.03 = 6 gallons.
Question 2: An engine travels at an average speed of 40 mph to a call 3 miles away. How many minutes does the response take?
- 3.5 min
- 4.5 min (Correct answer)
- 5.0 min
- 6.0 min
Correct answer: 4.5 min
Time = (3 ÷ 40) hours = 0.075 hr × 60 = 4.5 minutes.
Question 3: A firefighter burns approximately 600 calories per hour during active firefighting. How many calories are burned during a 45-minute suppression operation?
- 350 cal
- 400 cal
- 450 cal (Correct answer)
- 500 cal
Correct answer: 450 cal
600 × (45/60) = 600 × 0.75 = 450 calories.
Question 4: A 2.5-inch hose has a flow rate of 250 gpm. If the same pump pressure is used, a 3-inch hose carries approximately 30% more flow. What is the 3-inch hose flow rate?
- 275 gpm
- 300 gpm
- 325 gpm (Correct answer)
- 350 gpm
Correct answer: 325 gpm
250 × 1.30 = 325 gpm.
Question 5: A department's budget for overtime is $120,000 per year. Overtime pay is $45 per hour. How many total overtime hours can be funded?
- 2,400 hrs
- 2,667 hrs (Correct answer)
- 2,800 hrs
- 3,000 hrs
Correct answer: 2,667 hrs
120,000 ÷ 45 ≈ 2,667 hours.
Question 6: A ground ladder must reach a window sill 24 feet high. NFPA recommends the ladder extend 3 feet above the roofline and be placed at a 75° working angle. Approximately what length ladder is needed?
- 24 ft
- 27 ft (Correct answer)
- 30 ft
- 36 ft
Correct answer: 27 ft
The ladder must reach 24 + 3 = 27 feet, so a 27-foot ladder is the minimum required.
Question 7: A hazmat team must dilute a chemical spill with water at a 10:1 water-to-chemical ratio. If 50 gallons of chemical spilled, how many gallons of water are needed?
- 400 gallons
- 450 gallons
- 500 gallons (Correct answer)
- 550 gallons
Correct answer: 500 gallons
Water needed = 50 × 10 = 500 gallons.
FCTC Firefighter Math Applications Questions and Answers 5
A foam solution requires a 3% concentrate mixture.
How many gallons of foam concentrate are needed to make 200 gallons of solution?