NFST Firefighter Math Reasoning 5 — Questions and Answers
Question 1: A fire extends from room to room, doubling in size every 2 minutes. If it starts in a 50 sq ft area, how large is the fire after 6 minutes?
- 200 sq ft
- 300 sq ft
- 400 sq ft (Correct answer)
- 500 sq ft
Correct answer: 400 sq ft
After 2 min: 100 sq ft; after 4 min: 200 sq ft; after 6 min: 400 sq ft.
Question 2: A fire station has a budget of $120,000. They have spent $43,500 on equipment and $28,750 on training. How much budget remains?
- $46,500
- $47,750 (Correct answer)
- $48,250
- $49,000
Correct answer: $47,750
$120,000 − $43,500 − $28,750 = $47,750.
Question 3: A pump discharges water at 300 gpm. How many gallons does it discharge in 1 hour and 45 minutes?
- 28,000 gallons
- 30,000 gallons
- 31,500 gallons (Correct answer)
- 33,000 gallons
Correct answer: 31,500 gallons
1 hr 45 min = 105 minutes; 300 × 105 = 31,500 gallons.
Question 4: A firefighter weighs 185 lbs and carries gear weighing 65 lbs. What percentage of the combined weight is the gear?
- 26% (Correct answer)
- 28%
- 30%
- 32%
Correct answer: 26%
Total = 185 + 65 = 250 lbs; 65 ÷ 250 × 100 = 26%.
Question 5: An aerial ladder can reach 100 feet. If each ladder section is 20 feet long, how many sections are fully extended?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
100 ÷ 20 = 5 sections.
Question 6: A department tracks response times. The times for 5 calls were: 4, 6, 5, 7, and 8 minutes. What is the average response time?
- 5 minutes
- 5.5 minutes
- 6 minutes (Correct answer)
- 6.5 minutes
Correct answer: 6 minutes
(4 + 6 + 5 + 7 + 8) ÷ 5 = 30 ÷ 5 = 6 minutes.
Question 7: A fire station orders 24 boxes of gloves. Each box contains 12 pairs. How many pairs of gloves are ordered in total?
- 240 pairs
- 264 pairs
- 288 pairs (Correct answer)
- 312 pairs
Correct answer: 288 pairs
24 × 12 = 288 pairs of gloves.
A fire extends from room to room, doubling in size every 2 minutes.
If it starts in a 50 sq ft area, how large is the fire after 6 minutes?