FCTC FREE FCTC Test Firefighter Mathematical Problems Questions and Answers 2 — Questions and Answers
Question 1: A fire engine tank holds 500 gallons of water. After fighting a fire, 35% of the water has been used. How many gallons remain in the tank?
- 175 gallons
- 325 gallons (Correct answer)
- 165 gallons
- 350 gallons
Correct answer: 325 gallons
35% of 500 = 175 gallons used, so 500 − 175 = 325 gallons remain.
Question 2: A ladder is placed against a building so that the base is 8 feet from the wall and the ladder reaches 15 feet up the wall. What is the length of the ladder?
- 17 feet (Correct answer)
- 16 feet
- 23 feet
- 19 feet
Correct answer: 17 feet
Using the Pythagorean theorem: √(8² + 15²) = √(64 + 225) = √289 = 17 feet.
Question 3: A firefighter earns $28.50 per hour and works 48 hours in one week. What is the total gross pay for that week?
- $1,368.00 (Correct answer)
- $1,248.00
- $1,428.00
- $1,308.00
Correct answer: $1,368.00
$28.50 × 48 = $1,368.00 total gross pay.
Question 4: A hose delivers water at a rate of 95 gallons per minute. How many gallons are delivered in 12 minutes?
- 1,040 gallons
- 1,140 gallons (Correct answer)
- 1,200 gallons
- 1,080 gallons
Correct answer: 1,140 gallons
95 × 12 = 1,140 gallons delivered in 12 minutes.
Question 5: A fire station has 4 crews working rotating 24-hour shifts. If each crew works 8 shifts per month, how many total crew-shifts are worked in a month?
- 24
- 28
- 32 (Correct answer)
- 36
Correct answer: 32
4 crews × 8 shifts = 32 total crew-shifts per month.
Question 6: A building is 240 feet long and 180 feet wide. What is the perimeter of the building?
- 420 feet
- 780 feet
- 840 feet (Correct answer)
- 960 feet
Correct answer: 840 feet
Perimeter = 2 × (240 + 180) = 2 × 420 = 840 feet.
FCTC FREE FCTC Test Firefighter Mathematical Problems Questions and Answers 2
A fire engine tank holds 500 gallons of water.
After fighting a fire, 35% of the water has been used.
How many gallons remain in the tank?