FCTC Test FCTC Numerical Reasoning 1 — Questions and Answers
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?
- 175 gallons
- 325 gallons (Correct answer)
- 350 gallons
- 465 gallons
Correct answer: 325 gallons
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?
- 4 firefighters
- 5 firefighters
- 6 firefighters (Correct answer)
- 9 firefighters
Correct answer: 6 firefighters
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?
- 4 minutes
- 6 minutes (Correct answer)
- 8 minutes
- 10 minutes
Correct answer: 6 minutes
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?
- $8,500
- $9,750
- $10,250 (Correct answer)
- $11,500
Correct answer: $10,250
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?
- 9,800 square feet
- 10,200 square feet (Correct answer)
- 10,500 square feet
- 12,400 square feet
Correct answer: 10,200 square feet
Area of a rectangle = Length × Width = 120 × 85 = 10,200 square feet.
Question 6: A firefighter earns $28.50 per hour. Overtime is paid at 1.5 times the regular rate for all hours over 40 in a week. If the firefighter works 48 hours in one week, what is their total gross pay?
- $1,368.00
- $1,482.00 (Correct answer)
- $1,560.00
- $1,596.00
Correct answer: $1,482.00
Regular pay: 40 × $28.50 = $1,140.00. Overtime rate: $28.50 × 1.5 = $42.75/hr. Overtime pay: 8 × $42.75 = $342.00. Total: $1,140 + $342 = $1,482.00.
FCTC Test FCTC Numerical Reasoning 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?