NFST Firefighter Math Reasoning 5

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?

Accepted Answer

400 sq ft

Answer

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?

Accepted Answer

$47,750

Answer

$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?

Accepted Answer

31,500 gallons

Answer

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?

Accepted Answer

26%

Answer

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?

Accepted Answer

5

Answer

100 ÷ 20 = 5 sections.

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