FCTC FCTC Test Firefighter Mathematical Problems Questions and Answers 5 — Questions and Answers
Question 1: A fire spreads at 2 acres per hour. How many square feet does it cover in 30 minutes? (1 acre = 43,560 sq ft)
- 21,780 sq ft
- 43,560 sq ft (Correct answer)
- 65,340 sq ft
- 87,120 sq ft
Correct answer: 43,560 sq ft
In 30 min (0.5 hr), 2 × 0.5 = 1 acre = 43,560 sq ft.
Question 2: A map uses a scale of 1 inch = 500 feet. Two fire stations are 3.5 inches apart on the map. What is the actual distance?
- 1,250 feet
- 1,500 feet
- 1,750 feet (Correct answer)
- 2,000 feet
Correct answer: 1,750 feet
3.5 inches × 500 ft/inch = 1,750 feet.
Question 3: A fire engine uses 8 gallons of diesel per hour while pumping. How much fuel is consumed during a 3.5-hour operation?
- 24 gallons
- 26 gallons
- 28 gallons (Correct answer)
- 30 gallons
Correct answer: 28 gallons
8 × 3.5 = 28 gallons.
Question 4: A station's budget allocates 35% for equipment, 45% for salaries, and the rest for maintenance. If the total budget is $400,000, how much is for maintenance?
- $60,000
- $70,000
- $80,000 (Correct answer)
- $90,000
Correct answer: $80,000
Maintenance = 100% − 35% − 45% = 20%; 20% of $400,000 = $80,000.
Question 5: Water weighs approximately 8.33 pounds per gallon. What is the weight of water in a 750-gallon tank?
- 5,847.5 lbs
- 6,097.5 lbs
- 6,247.5 lbs (Correct answer)
- 6,497.5 lbs
Correct answer: 6,247.5 lbs
750 × 8.33 = 6,247.5 pounds.
Question 6: A nozzle flows 200 GPM. During a 25-minute operation, how many gallons were used?
- 4,000 gallons
- 4,500 gallons
- 5,000 gallons (Correct answer)
- 5,500 gallons
Correct answer: 5,000 gallons
200 × 25 = 5,000 gallons.
Question 7: A firefighter must carry 60 pounds of equipment up 5 flights of stairs, each flight being 12 feet. What is the total vertical distance traveled?
- 50 feet
- 55 feet
- 60 feet (Correct answer)
- 65 feet
Correct answer: 60 feet
5 flights × 12 feet = 60 feet of vertical distance.
FCTC FCTC Test Firefighter Mathematical Problems Questions and Answers 5
A fire spreads at 2 acres per hour.
How many square feet does it cover in 30 minutes? (1 acre = 43,560 sq ft)