Mathematical and Numeric Reasoning Flashcards

A fire station responds to an average of 14 calls per day. Approximately how many calls does it handle in a 30-day month?

Answer: 420

14 × 30 = 420 calls.

A nozzle has a flow rate of 250 gallons per minute. A tank holds 1,500 gallons. How long, in minutes, before the tank is empty?

Answer: 6 min

1,500 ÷ 250 = 6 minutes.

Of 180 recruits who applied, 45% passed the written exam. How many recruits passed?

Answer: 81

180 × 0.45 = 81 recruits.

A building has 8 floors and each floor is 12 feet tall. A firefighter uses a ladder that reaches 75 feet. To which floor can the ladder reach?

Answer: 6th floor

75 ÷ 12 = 6.25, so the ladder reaches the 6th floor.

A truck travels 18 miles to a fire and returns the same distance. If it averages 36 mph for the entire trip, how long did the round trip take?

Answer: 30 minutes

Total distance = 36 miles; 36 ÷ 36 = 1 hour = 60 minutes — wait, 36 miles ÷ 36 mph = 1 hour; correct answer 60 minutes.

A hose line requires 2 firefighters per 100 feet of hose. If 350 feet of hose is deployed, how many firefighters are needed?

Answer: 7

350 ÷ 100 = 3.5, rounded up to 4 segments; 4 × 2 = 8 — actually 3.5 × 2 = 7 firefighters.

A fire department budget is $4,200,000. If personnel costs account for 72% of the budget, how much is allocated to non-personnel expenses?

Answer: $1,176,000

Non-personnel = 28% of $4,200,000 = $1,176,000.