FCTC Test FCTC Numerical Reasoning 1

Question 1

A fire engine water tank holds 500 gallons. After using 35% of the water at a scene, how many gallons remain in the tank?

Accepted Answer

325 gallons

Answer

35% of 500 = 175 gallons used. Subtracting from the full tank: 500 − 175 = 325 gallons remaining.

Question 2

A fire station operates 3 equal shifts to provide 24/7 coverage. If the station has 18 firefighters total, how many firefighters are on duty during each shift?

Accepted Answer

6 firefighters

Answer

Dividing the total firefighters evenly across shifts: 18 ÷ 3 = 6 firefighters per shift.

Question 3

A fire engine travels 4.2 miles to an emergency scene at an average speed of 42 mph. How many minutes does it take to arrive?

Accepted Answer

6 minutes

Answer

Time = Distance ÷ Speed = 4.2 ÷ 42 = 0.1 hours. Converting to minutes: 0.1 × 60 = 6 minutes.

Question 4

A fire department purchases 4 sets of turnout gear at $1,250 each and 6 self-contained breathing apparatus at $875 each. What is the total equipment cost?

Accepted Answer

$10,250

Answer

Turnout gear: 4 × $1,250 = $5,000. Breathing apparatus: 6 × $875 = $5,250. Total: $5,000 + $5,250 = $10,250.

Question 5

A rectangular warehouse involved in a fire measures 120 feet long and 85 feet wide. What is the total floor area of the building?

Accepted Answer

10,200 square feet

Answer

Area of a rectangle = Length × Width = 120 × 85 = 10,200 square feet.

FCTC Test Practice Test

FCTC Test Practice Test

FCTC Test FCTC Numerical Reasoning 1