NFST Firefighter Math Reasoning 4 — Questions and Answers
Question 1: A fire hose costs $85. The department needs 14 hoses. What is the total cost?
- $1,120
- $1,190 (Correct answer)
- $1,260
- $1,330
Correct answer: $1,190
85 × 14 = $1,190.
Question 2: A firefighter must climb 240 steps to reach the top of a building. If they climb 20 steps per minute, how long will it take?
- 10 minutes
- 12 minutes (Correct answer)
- 14 minutes
- 16 minutes
Correct answer: 12 minutes
240 ÷ 20 = 12 minutes.
Question 3: During a shift, Firefighter Davis consumed 3 quarts of water. How many fluid ounces is that? (1 quart = 32 fl oz)
- 64 fl oz
- 80 fl oz
- 96 fl oz (Correct answer)
- 112 fl oz
Correct answer: 96 fl oz
3 × 32 = 96 fluid ounces.
Question 4: A fire engine's fuel tank holds 60 gallons. It currently has 15 gallons. Fuel costs $3.80 per gallon. How much will it cost to fill the tank?
- $166.50
- $171.00 (Correct answer)
- $176.50
- $180.00
Correct answer: $171.00
(60 − 15) × $3.80 = 45 × $3.80 = $171.00.
Question 5: A building's floor plan is 80 feet by 120 feet. What is the total area in square feet?
- 8,400 sq ft
- 9,200 sq ft
- 9,600 sq ft (Correct answer)
- 10,000 sq ft
Correct answer: 9,600 sq ft
80 × 120 = 9,600 square feet.
Question 6: A crew of 6 firefighters completes a task in 2 hours. How long would it take 4 firefighters to complete the same task at the same rate?
- 2.5 hours
- 3 hours (Correct answer)
- 3.5 hours
- 4 hours
Correct answer: 3 hours
Total work = 6 × 2 = 12 firefighter-hours; 12 ÷ 4 = 3 hours.
Question 7: A 1,500-gallon water tender delivers water to a scene. After three trips of 1,500 gallons each, how many gallons total have been delivered?
- 3,000 gallons
- 3,500 gallons
- 4,000 gallons
- 4,500 gallons (Correct answer)
Correct answer: 4,500 gallons
3 × 1,500 = 4,500 gallons.
NFST Firefighter Math Reasoning 4
A fire hose costs $85.
The department needs 14 hoses.
What is the total cost?