FCTC FCTC Test Firefighter Mathematical Problems Questions and Answers 2 — Questions and Answers
Question 1: A fire hose discharges water at 150 gallons per minute. How many gallons will be discharged in 45 minutes?
- 5,750 gallons
- 6,750 gallons (Correct answer)
- 7,250 gallons
- 6,250 gallons
Correct answer: 6,750 gallons
150 gallons/min × 45 min = 6,750 gallons.
Question 2: A rectangular storage room measures 24 feet long, 18 feet wide, and 10 feet high. What is the volume of the room in cubic feet?
- 3,240 cubic feet
- 4,320 cubic feet (Correct answer)
- 2,160 cubic feet
- 5,040 cubic feet
Correct answer: 4,320 cubic feet
Volume = 24 × 18 × 10 = 4,320 cubic feet.
Question 3: A firefighter earns $28.50 per hour and works a 56-hour shift week. What is the firefighter's gross weekly pay before taxes?
- $1,596.00 (Correct answer)
- $1,682.00
- $1,740.00
- $1,512.00
Correct answer: $1,596.00
$28.50 × 56 hours = $1,596.00.
Question 4: A fire truck tank holds 750 gallons of water. After fighting a fire, 40% of the water remains. How many gallons are left?
- 275 gallons
- 350 gallons
- 300 gallons (Correct answer)
- 325 gallons
Correct answer: 300 gallons
750 × 0.40 = 300 gallons remaining.
Question 5: A ladder is placed against a building with its base 8 feet from the wall. If the ladder reaches 15 feet up the wall, what is the length of the ladder?
- 16 feet
- 17 feet (Correct answer)
- 18 feet
- 19 feet
Correct answer: 17 feet
Using the Pythagorean theorem: √(8² + 15²) = √(64 + 225) = √289 = 17 feet.
Question 6: A station has 4 fire engines and each engine carries 12 sets of SCBA gear. If 30% of the SCBA sets are currently out for maintenance, how many are available?
- 28 sets
- 32 sets
- 34 sets (Correct answer)
- 36 sets
Correct answer: 34 sets
Total sets = 4 × 12 = 48; 48 × 0.70 = 33.6, rounded to 34 sets available.
FCTC FCTC Test Firefighter Mathematical Problems Questions and Answers 2
A fire hose discharges water at 150 gallons per minute.
How many gallons will be discharged in 45 minutes?