NFSI Mathematical Reasoning and Facility 3 — Questions and Answers
Question 1: A building has 6 floors, each 12 feet tall. What is the total height of the building in feet?
- 60
- 66
- 72 (Correct answer)
- 78
Correct answer: 72
6 × 12 = 72 feet.
Question 2: A fire station responds to calls at an average rate of 4.5 calls per day. How many calls would be expected in a 30-day month?
- 120
- 130
- 135 (Correct answer)
- 145
Correct answer: 135
4.5 × 30 = 135 calls.
Question 3: If a 1,500-gallon tank is 35% full, how many more gallons are needed to fill it completely?
- 525
- 850
- 975 (Correct answer)
- 1,100
Correct answer: 975
35% of 1,500 = 525 gallons already in the tank; 1,500 − 525 = 975 gallons needed.
Question 4: A firefighter's protective gear weighs 45 pounds. If the gear represents 22% of the firefighter's total equipped weight, what is the total equipped weight (rounded to the nearest pound)?
- 180
- 195
- 205 (Correct answer)
- 215
Correct answer: 205
45 ÷ 0.22 ≈ 204.5, rounded to 205 pounds.
Question 5: Two fire engines start from the same station. Engine A travels north at 50 mph and Engine B travels south at 40 mph. After 30 minutes, how far apart are they?
- 35 miles
- 40 miles
- 45 miles (Correct answer)
- 50 miles
Correct answer: 45 miles
In 0.5 hours, A travels 25 miles and B travels 20 miles; total separation = 45 miles.
Question 6: A chemical solution must be diluted so that 1 part chemical is mixed with 7 parts water. How many gallons of chemical are needed to make 64 gallons of solution?
- 6
- 7
- 8 (Correct answer)
- 9
Correct answer: 8
The ratio is 1:7, so 1 part chemical out of 8 total parts; 64 ÷ 8 = 8 gallons of chemical.
Question 7: A fire burns through 3.2 acres per hour. If the fire started at 2:00 PM and covered 16 acres by the time it was reported, at what time was it reported?
- 6:00 PM
- 6:30 PM
- 7:00 PM (Correct answer)
- 7:30 PM
Correct answer: 7:00 PM
16 ÷ 3.2 = 5 hours after 2:00 PM = 7:00 PM.
NFSI Mathematical Reasoning and Facility 3
A building has 6 floors, each 12 feet tall.
What is the total height of the building in feet?