FCTC Test Firefighter Mathematical Problems Questions and Answers 5 — Questions and Answers
Question 1: A fire burns at an estimated rate consuming 50 square feet of floor space every 2 minutes. How many square feet are consumed in 14 minutes?
- 250 sq ft
- 300 sq ft
- 350 sq ft (Correct answer)
- 400 sq ft
Correct answer: 350 sq ft
Rate = 25 sq ft/min; 25 × 14 = 350 sq ft.
Question 2: A department budget allocates 65% to salaries, 20% to equipment, and the rest to operations. If the total budget is $4,000,000, how much goes to operations?
- $500,000
- $600,000 (Correct answer)
- $650,000
- $800,000
Correct answer: $600,000
Operations = 100% − 65% − 20% = 15%; $4,000,000 × 0.15 = $600,000.
Question 3: A hazmat exclusion zone is rectangular, measuring 400 feet by 250 feet. What is the area of the exclusion zone in square feet?
- 75,000 sq ft
- 90,000 sq ft
- 100,000 sq ft (Correct answer)
- 110,000 sq ft
Correct answer: 100,000 sq ft
Area = 400 × 250 = 100,000 square feet.
Question 4: Nozzle pressure is 100 PSI at the tip. If friction loss along the hose is 35 PSI, what pump discharge pressure is required?
- 65 PSI
- 100 PSI
- 135 PSI (Correct answer)
- 145 PSI
Correct answer: 135 PSI
Pump discharge pressure = nozzle pressure + friction loss = 100 + 35 = 135 PSI.
Question 5: A fire station stores 500 gallons of foam concentrate. Each foam application uses 12.5 gallons. How many full applications are available?
- 35
- 38
- 40 (Correct answer)
- 42
Correct answer: 40
500 ÷ 12.5 = 40 full applications.
Question 6: A firefighter works a 24-hour shift and rests for 48 hours. What percentage of a 72-hour cycle is spent working?
- 25%
- 33% (Correct answer)
- 50%
- 66%
Correct answer: 33%
24 ÷ 72 × 100 = 33.3%, approximately 33%.
Question 7: A compressed air foam system (CAFS) mixes air and water in a 5:1 ratio by volume. If 30 gallons of water are used, how many gallons of air-foam solution are produced?
- 120 gallons
- 150 gallons
- 180 gallons (Correct answer)
- 210 gallons
Correct answer: 180 gallons
Total solution = water + (5 × water) = 30 + 150 = 180 gallons.
FCTC Test Firefighter Mathematical Problems Questions and Answers 5
A fire burns at an estimated rate consuming 50 square feet of floor space every 2 minutes.
How many square feet are consumed in 14 minutes?