FCTC Written Test
FCTC - FIREFIGHTER CANDIDATE TESTING CENTER WRITTEN TEST |
VERIFIED EXAM QUESTIONS AND ANSWERS - LATEST VERSION
2026/2027
FCTC WRITTEN
Firefighter Candidate Testing Center Written
1. What is 3/4 + 5/8?
A. 1 1/8
B. 1 1/4
C. 8/12
D. 1 3/8
ANSWER : D. 1 3/8
Convert to eighths: 6/8 + 5/8 = 11/8, which equals 1 3/8.
2. What is 15% of 240?
A. 40
B. 36
C. 24
D. 32
ANSWER : B. 36
0.15 × 240 = 36.
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3. A fire engine travels at a steady 60 miles per hour for 2.5 hours. How far
does it travel?
A. 150 miles
B. 120 miles
C. 135 miles
D. 160 miles
ANSWER : A. 150 miles
Distance = speed × time, so 60 × 2.5 = 150 miles.
4. A station has firefighters and paramedics in a ratio of 3:5. If there are 40
personnel in total, how many are in the larger group?
A. 24
B. 20
C. 25
D. 15
ANSWER : C. 25
The ratio has 8 parts; 40 ÷ 8 = 5 per part, and 5 × 5 = 25.
5. Solve for x: 3x + 7 = 25
A. 10
B. 8
C. 5
D. 6
ANSWER : D. 6
Subtract 7 to get 3x = 18, then divide by 3 to get x = 6.
6. A storage room measures 12 feet by 9 feet. What is its area?
A. 108 square feet
B. 118 square feet
C. 96 square feet
D. 42 square feet
ANSWER : A. 108 square feet
Area = length × width = 12 × 9 = 108 square feet.
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7. A 500-gallon tank is emptied by a pump that discharges 125 gallons per
minute. How long will it take to empty the tank?
A. 6 minutes
B. 5 minutes
C. 3 minutes
D. 4 minutes
ANSWER : D. 4 minutes
500 ÷ 125 = 4 minutes.
8. Which fraction is equal to 0.75?
A. 4/5
B. 3/4
C. 7/10
D. 2/3
ANSWER : B. 3/4
0.75 is 75/100, which reduces to 3/4.
9. What is the value of (9 + 3) × 4 − 10?
A. 42
B. 26
C. 38
D. 48
ANSWER : C. 38
Parentheses first: 12 × 4 = 48, then 48 − 10 = 38.
10. A firefighter scores 82, 90, 88, and 96 on four tests. What is the average
score?
A. 88
B. 90
C. 89
D. 91
ANSWER : C. 89
The sum is 356, and 356 ÷ 4 = 89.
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11. What is the volume of a compartment that is 4 feet long, 3 feet wide, and 2
feet high?
A. 26 cubic feet
B. 18 cubic feet
C. 9 cubic feet
D. 24 cubic feet
ANSWER : D. 24 cubic feet
Volume = 4 × 3 × 2 = 24 cubic feet.
12. What is 2/3 of 45?
A. 30
B. 27
C. 35
D. 15
ANSWER : A. 30
45 ÷ 3 = 15, and 15 × 2 = 30.
13. How many minutes are in 3.5 hours?
A. 350
B. 200
C. 210
D. 180
ANSWER : C. 210
3.5 × 60 = 210 minutes.
14. A piece of equipment priced at $80 is discounted by 20%. What is the sale
price?
A. $60
B. $64
C. $16
D. $72
ANSWER : B. $64
20% of $80 is $16, so the price is $80 − $16 = $64.
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FCTC - FIREFIGHTER CANDIDATE TESTING CENTER WRITTEN TEST |
VERIFIED EXAM QUESTIONS AND ANSWERS - LATEST VERSION
2026/2027
FCTC WRITTEN
Firefighter Candidate Testing Center Written
1. What is 3/4 + 5/8?
A. 1 1/8
B. 1 1/4
C. 8/12
D. 1 3/8
ANSWER : D. 1 3/8
Convert to eighths: 6/8 + 5/8 = 11/8, which equals 1 3/8.
2. What is 15% of 240?
A. 40
B. 36
C. 24
D. 32
ANSWER : B. 36
0.15 × 240 = 36.
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, FCTC Written Test
3. A fire engine travels at a steady 60 miles per hour for 2.5 hours. How far
does it travel?
A. 150 miles
B. 120 miles
C. 135 miles
D. 160 miles
ANSWER : A. 150 miles
Distance = speed × time, so 60 × 2.5 = 150 miles.
4. A station has firefighters and paramedics in a ratio of 3:5. If there are 40
personnel in total, how many are in the larger group?
A. 24
B. 20
C. 25
D. 15
ANSWER : C. 25
The ratio has 8 parts; 40 ÷ 8 = 5 per part, and 5 × 5 = 25.
5. Solve for x: 3x + 7 = 25
A. 10
B. 8
C. 5
D. 6
ANSWER : D. 6
Subtract 7 to get 3x = 18, then divide by 3 to get x = 6.
6. A storage room measures 12 feet by 9 feet. What is its area?
A. 108 square feet
B. 118 square feet
C. 96 square feet
D. 42 square feet
ANSWER : A. 108 square feet
Area = length × width = 12 × 9 = 108 square feet.
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7. A 500-gallon tank is emptied by a pump that discharges 125 gallons per
minute. How long will it take to empty the tank?
A. 6 minutes
B. 5 minutes
C. 3 minutes
D. 4 minutes
ANSWER : D. 4 minutes
500 ÷ 125 = 4 minutes.
8. Which fraction is equal to 0.75?
A. 4/5
B. 3/4
C. 7/10
D. 2/3
ANSWER : B. 3/4
0.75 is 75/100, which reduces to 3/4.
9. What is the value of (9 + 3) × 4 − 10?
A. 42
B. 26
C. 38
D. 48
ANSWER : C. 38
Parentheses first: 12 × 4 = 48, then 48 − 10 = 38.
10. A firefighter scores 82, 90, 88, and 96 on four tests. What is the average
score?
A. 88
B. 90
C. 89
D. 91
ANSWER : C. 89
The sum is 356, and 356 ÷ 4 = 89.
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, FCTC Written Test
11. What is the volume of a compartment that is 4 feet long, 3 feet wide, and 2
feet high?
A. 26 cubic feet
B. 18 cubic feet
C. 9 cubic feet
D. 24 cubic feet
ANSWER : D. 24 cubic feet
Volume = 4 × 3 × 2 = 24 cubic feet.
12. What is 2/3 of 45?
A. 30
B. 27
C. 35
D. 15
ANSWER : A. 30
45 ÷ 3 = 15, and 15 × 2 = 30.
13. How many minutes are in 3.5 hours?
A. 350
B. 200
C. 210
D. 180
ANSWER : C. 210
3.5 × 60 = 210 minutes.
14. A piece of equipment priced at $80 is discounted by 20%. What is the sale
price?
A. $60
B. $64
C. $16
D. $72
ANSWER : B. $64
20% of $80 is $16, so the price is $80 − $16 = $64.
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