FIREFIGHTER MATH
UPDATED ACTUAL EXAM QUESTIONS AND CORRECT
ANSWERS
Question 1.
What is the total volume of a cylinder that is 7' high with a 3' radius?
A. 188.52 square feet
B. 197.82 cubic feet
C. 188.52 cubic feet
D. 197.82 square feet
ANSWER
B. 197.82 cubic feet
V=πr2h
V=πÅ(3)2Å7
(3)2=9
V=πÅ9Å7
9Å7=63
V=πÅ63
VH3.14Å63=197.82
Question 2.
In the fire academy, we had a ratio of 7 to 5 passing grades to failing. How many of the 36 students
failed?
A. 21
B. 15
C. 7
D. 5
ANSWER
B. 15
7x+5x=36
Combine like terms:
12x = 36
To find x, divide by 12 to get
3. Then substitute 3 in to get pass/fail grade.
Number who passed=7x=7Å3=21 Number who failed=5x=5Å3=15
, Question 3.
Formula for Fahrenheit
ANSWER
F=1.8C+32
Question 4.
The PASS device is a/an warning system designed to let the firefighter know when they
are low on air.
A. Respiratory
B. Pressure
C. Regulator
D. Audible
ANSWER
D. Audible
Question 5.
What is the formula for circumference for a screw?
ANSWER
2(3.14)r
Question 6.
What is the decimal equivalent of 6/15?
ANSWER
0.4
6 divid by 15
UPDATED ACTUAL EXAM QUESTIONS AND CORRECT
ANSWERS
Question 1.
What is the total volume of a cylinder that is 7' high with a 3' radius?
A. 188.52 square feet
B. 197.82 cubic feet
C. 188.52 cubic feet
D. 197.82 square feet
ANSWER
B. 197.82 cubic feet
V=πr2h
V=πÅ(3)2Å7
(3)2=9
V=πÅ9Å7
9Å7=63
V=πÅ63
VH3.14Å63=197.82
Question 2.
In the fire academy, we had a ratio of 7 to 5 passing grades to failing. How many of the 36 students
failed?
A. 21
B. 15
C. 7
D. 5
ANSWER
B. 15
7x+5x=36
Combine like terms:
12x = 36
To find x, divide by 12 to get
3. Then substitute 3 in to get pass/fail grade.
Number who passed=7x=7Å3=21 Number who failed=5x=5Å3=15
, Question 3.
Formula for Fahrenheit
ANSWER
F=1.8C+32
Question 4.
The PASS device is a/an warning system designed to let the firefighter know when they
are low on air.
A. Respiratory
B. Pressure
C. Regulator
D. Audible
ANSWER
D. Audible
Question 5.
What is the formula for circumference for a screw?
ANSWER
2(3.14)r
Question 6.
What is the decimal equivalent of 6/15?
ANSWER
0.4
6 divid by 15
