FCTC FREE FCTC Test Firefighter Mathematical Problems Questions and Answers 3 — Questions and Answers
Question 1: A fire hose discharges water at 250 gallons per minute. How many gallons are discharged in 18 minutes?
- 4,000 gallons
- 4,250 gallons
- 4,500 gallons (Correct answer)
- 5,000 gallons
Correct answer: 4,500 gallons
250 × 18 = 4,500 gallons.
Question 2: A ladder is positioned 8 feet from a wall and reaches 15 feet up the wall. What is the length of the ladder?
- 16 ft
- 17 ft (Correct answer)
- 18 ft
- 19 ft
Correct answer: 17 ft
Using the Pythagorean theorem: √(8² + 15²) = √(64 + 225) = √289 = 17 ft.
Question 3: A fire station budget of $240,000 is divided equally among 6 departments. How much does each department receive?
- $38,000
- $40,000 (Correct answer)
- $42,000
- $45,000
Correct answer: $40,000
$240,000 ÷ 6 = $40,000 per department.
Question 4: A firefighter runs a 400-meter loop 7 times during training. How many kilometers did the firefighter run?
- 2.4 km
- 2.6 km
- 2.8 km (Correct answer)
- 3.0 km
Correct answer: 2.8 km
400 × 7 = 2,800 meters = 2.8 km.
Question 5: A tank holds 3,200 gallons of water. A pump removes water at 80 gallons per minute. How long until the tank is empty?
- 35 minutes
- 38 minutes
- 40 minutes (Correct answer)
- 45 minutes
Correct answer: 40 minutes
3,200 ÷ 80 = 40 minutes.
Question 6: A building's floor area is 120 feet long and 75 feet wide. What is the total area?
- 8,500 sq ft
- 9,000 sq ft (Correct answer)
- 9,500 sq ft
- 10,000 sq ft
Correct answer: 9,000 sq ft
120 × 75 = 9,000 square feet.
Question 7: If a firefighter earns $26.50 per hour and works 48 hours in a week, what is the total gross pay?
- $1,224.00
- $1,248.00
- $1,272.00 (Correct answer)
- $1,296.00
Correct answer: $1,272.00
$26.50 × 48 = $1,272.00.
FCTC FREE FCTC Test Firefighter Mathematical Problems Questions and Answers 3
A fire hose discharges water at 250 gallons per minute.
How many gallons are discharged in 18 minutes?