NFSI Mathematical Reasoning and Facility 2 — Questions and Answers
Question 1: A fire hose delivers water at 250 gallons per minute. How many gallons are delivered in 18 minutes?
- 4,000
- 4,250
- 4,500 (Correct answer)
- 5,000
Correct answer: 4,500
250 × 18 = 4,500 gallons.
Question 2: A ladder is 35 feet long and is placed 7 feet from the base of a building. Approximately what percentage of the ladder's length is the horizontal distance from the wall?
- 10%
- 15%
- 20% (Correct answer)
- 25%
Correct answer: 20%
7 ÷ 35 = 0.20, which equals 20%.
Question 3: A firefighter earns $28.50 per hour and works 48 hours in a week, with anything over 40 hours paid at 1.5× the regular rate. What is the total weekly pay?
- $1,310
- $1,368
- $1,482 (Correct answer)
- $1,596
Correct answer: $1,482
40 × $28.50 = $1,140 + 8 × $42.75 = $342, total $1,482.
Question 4: A storage room is 12 ft × 15 ft × 8 ft. If one cubic foot equals about 7.48 gallons, approximately how many gallons of water could fill the room?
- 8,078
- 9,698
- 10,771 (Correct answer)
- 12,000
Correct answer: 10,771
12 × 15 × 8 = 1,440 cu ft; 1,440 × 7.48 ≈ 10,771 gallons.
Question 5: If a fire engine travels 4 miles in 6 minutes, what is its speed in miles per hour?
- 35 mph
- 40 mph (Correct answer)
- 45 mph
- 50 mph
Correct answer: 40 mph
4 miles / 6 minutes × 60 minutes/hour = 40 mph.
Question 6: A pump that was running at 60% capacity was increased to 90% capacity. By what percentage did the output increase?
- 30%
- 33%
- 50% (Correct answer)
- 55%
Correct answer: 50%
The increase is 30 percentage points; 30 ÷ 60 = 0.50, or a 50% increase in output.
Question 7: Three firefighters share 420 feet of hose equally, then one firefighter gives 15 feet to another. How many feet does the firefighter who gave away hose now have?
- 105 (Correct answer)
- 120
- 125
- 135
Correct answer: 105
Each starts with 420 ÷ 3 = 140 feet; after giving away 15, one has 140 − 15 = 125 feet.
NFSI Mathematical Reasoning and Facility 2
A fire hose delivers water at 250 gallons per minute.
How many gallons are delivered in 18 minutes?