Fire fighter Mathematics
Change the following fraction to a percentage: 2/25 -answer A. 0.18%
B. 2.5%
C. 8%
D. 25%
Reasoning:
To solve the problem, multiply the fraction by 100. 2/25 = 200/25. Then divide the
fraction's bottom number into the top number. 200 ÷ 25 = 8. Add the percent sign: 2/25
= 8%.
Choice C is correct
If a pile of fire wood is 6 feet long, 4 feet high and 2 feet wide how many cubic feet is it?
-answer A. 96 cubic feet
B. 18 cubic feet
C. 48 cubic feet
D. 46 cubic feet
Reasoning:
To calculate how many cubic feet of water can the tank hold, you would multiply 6 x 4 x
2 = 48 cubic feet.
Answer C is correct
Flooring in an older house has three layers of plywood. Each layer is a different
thickness. One layer is 1/2 inch thick, a second layer is 3/8 inch thick and the total
thickness is 1 3/4 inches. What is the width of the third layer? -answer A. 7/8 inch
B. 1/2 inch
C. 3/8 inch
D. 7/16 inch
Reasoning:
First, find the common denominator = 8. Then convert all fractions: 1/2 = 4/8, 3/8 = 3/8,
1 3/4 = 14/8. Add the first and second layer and then subtract the sum from the total
thickness: 4/8 + 3/8 = 7/8. 14/8 - 7/8 = 7/8 inch.
Choice A is correct
Water container A holds 150 gallons of water when full. Water container B, holds 270
gallons of water when full. If water container A is only 3/4 full and water container B is
only 1/3 full, how many more gallons of water are needed to fill both container to their
limit? -answer A. 225 gallons
B. 217.5 gallons
C. 250 gallons
D. 215.5 gallons
Reasoning:
First, you must find the number of gallons of water missing from each container: water
container A = 1/4, water container B = 2/3. Multiply by the number of gallons each truck
,Fire fighter Mathematics
holds when full: water container A = 150, 1/4 x 150 = 37.5 gallons, water container B =
270, 2/3 x 270 = 180. Now add the numbers of gallons missing to get the number of
gallons needed to fill the water containers. 37.5 + 180 = 217.5 gallons.
Choice B is correct
One gallon of water weighs 8.5 pounds. If the water tank on a pumper truck holds 600
gallons of water when full, how much does the water weigh? -answer A. 5,100 pounds
B. 6,850 pounds
C. 662 pounds
D. 5, 350 pounds
Reasoning:
To calculate the weight of the water, multiply the volume of water by the weight per
gallon: 600 x 8.5 = 5,100 pounds.
Choice A is correct
In one year, there were about 21,500 residential fires started by children playing with
matches. Of these incidents, 11,350 children suffered third-degree burns. About what
percent of these fires resulted in burns? -answer A. 49%
B. 51%
C. 53%
D. 47%
Reasoning:
To calculate the percentage of burns resulting from these fires, you would first multiply
11,350 x 100 ÷ 21,500 = .528, rounded to the nearest figure, so 53%.
Choice C is correct.
One gallon of water weighs about 8.5 pounds. A 6-gallon tank of water would weigh: -
answer A. 42 pounds
B. 51 pounds
C. 14.5 pounds
D. 8.5 pounds
Reasoning:
To solve the problem, you would multiply the weight of one gallon of water by the
number of gallons in the container: 8.5 x 6 = 51 pounds.
Choice B is correct
Change the following fraction to a percentage: 9/30 -answer A. 30%
B. 65%
C. 31%
D. 38%
Reasoning:
, Fire fighter Mathematics
To solve the problem, multiply the top fraction by 100. 9/30 = 900/30. Then divide the
fraction's bottom number into the top number. 900 ÷ 30 = 30. Add the percent sign: 9/30
= 30%.
Choice A is correct
A firefighter went shopping for groceries for the fire station taking $150.00 and returned
home with $18.38. How much money was spent on food? -answer A. $131.62
B. $132.61
C. $134.66
D. $129.52
Reasoning:
To solve the problem, use subtraction: $150.00 - $18.38 = $131.62.
Correct answer is A
An anonymous donor gave $750 to a fire station to purchase a new television set. The
cost of the new television was $734.52. How much money was left over? -answer A.
$15.48
B. $18.97
C. $12.69
D. $15.50
Reasoning:
To solve the problem, use subtraction: $750.00 - $734.52 = $15.48.
Correct answer is A
A ladder rung is about 2 1/2 centimeters thick. Convert this to inches. (1 cm = 0.39
inches) -answer A. 2 inches
B. 1/4 inch
C. 1 inch
D. 3/4 inch
Reasoning:
To calculate the thickness, convert the fraction to a decimal and then multiply: 2.5 x
0.39 = 0.975, rounded up to 1 inch.
Choice C is correct
There were 400 fires within the city limits last year. 25 fires were suspected to be arson.
What is the percentage rate of suspected arson fires? -answer A. 8%
B. 6%
C. 5%
D. 7%
Reasoning:
To calculate the percentage of arson fires, you must multiply 25 x 100 and divide by
400. Add the percent sign: 25 x 100 = 2,500 ÷ 400 = 6.25%.
Change the following fraction to a percentage: 2/25 -answer A. 0.18%
B. 2.5%
C. 8%
D. 25%
Reasoning:
To solve the problem, multiply the fraction by 100. 2/25 = 200/25. Then divide the
fraction's bottom number into the top number. 200 ÷ 25 = 8. Add the percent sign: 2/25
= 8%.
Choice C is correct
If a pile of fire wood is 6 feet long, 4 feet high and 2 feet wide how many cubic feet is it?
-answer A. 96 cubic feet
B. 18 cubic feet
C. 48 cubic feet
D. 46 cubic feet
Reasoning:
To calculate how many cubic feet of water can the tank hold, you would multiply 6 x 4 x
2 = 48 cubic feet.
Answer C is correct
Flooring in an older house has three layers of plywood. Each layer is a different
thickness. One layer is 1/2 inch thick, a second layer is 3/8 inch thick and the total
thickness is 1 3/4 inches. What is the width of the third layer? -answer A. 7/8 inch
B. 1/2 inch
C. 3/8 inch
D. 7/16 inch
Reasoning:
First, find the common denominator = 8. Then convert all fractions: 1/2 = 4/8, 3/8 = 3/8,
1 3/4 = 14/8. Add the first and second layer and then subtract the sum from the total
thickness: 4/8 + 3/8 = 7/8. 14/8 - 7/8 = 7/8 inch.
Choice A is correct
Water container A holds 150 gallons of water when full. Water container B, holds 270
gallons of water when full. If water container A is only 3/4 full and water container B is
only 1/3 full, how many more gallons of water are needed to fill both container to their
limit? -answer A. 225 gallons
B. 217.5 gallons
C. 250 gallons
D. 215.5 gallons
Reasoning:
First, you must find the number of gallons of water missing from each container: water
container A = 1/4, water container B = 2/3. Multiply by the number of gallons each truck
,Fire fighter Mathematics
holds when full: water container A = 150, 1/4 x 150 = 37.5 gallons, water container B =
270, 2/3 x 270 = 180. Now add the numbers of gallons missing to get the number of
gallons needed to fill the water containers. 37.5 + 180 = 217.5 gallons.
Choice B is correct
One gallon of water weighs 8.5 pounds. If the water tank on a pumper truck holds 600
gallons of water when full, how much does the water weigh? -answer A. 5,100 pounds
B. 6,850 pounds
C. 662 pounds
D. 5, 350 pounds
Reasoning:
To calculate the weight of the water, multiply the volume of water by the weight per
gallon: 600 x 8.5 = 5,100 pounds.
Choice A is correct
In one year, there were about 21,500 residential fires started by children playing with
matches. Of these incidents, 11,350 children suffered third-degree burns. About what
percent of these fires resulted in burns? -answer A. 49%
B. 51%
C. 53%
D. 47%
Reasoning:
To calculate the percentage of burns resulting from these fires, you would first multiply
11,350 x 100 ÷ 21,500 = .528, rounded to the nearest figure, so 53%.
Choice C is correct.
One gallon of water weighs about 8.5 pounds. A 6-gallon tank of water would weigh: -
answer A. 42 pounds
B. 51 pounds
C. 14.5 pounds
D. 8.5 pounds
Reasoning:
To solve the problem, you would multiply the weight of one gallon of water by the
number of gallons in the container: 8.5 x 6 = 51 pounds.
Choice B is correct
Change the following fraction to a percentage: 9/30 -answer A. 30%
B. 65%
C. 31%
D. 38%
Reasoning:
, Fire fighter Mathematics
To solve the problem, multiply the top fraction by 100. 9/30 = 900/30. Then divide the
fraction's bottom number into the top number. 900 ÷ 30 = 30. Add the percent sign: 9/30
= 30%.
Choice A is correct
A firefighter went shopping for groceries for the fire station taking $150.00 and returned
home with $18.38. How much money was spent on food? -answer A. $131.62
B. $132.61
C. $134.66
D. $129.52
Reasoning:
To solve the problem, use subtraction: $150.00 - $18.38 = $131.62.
Correct answer is A
An anonymous donor gave $750 to a fire station to purchase a new television set. The
cost of the new television was $734.52. How much money was left over? -answer A.
$15.48
B. $18.97
C. $12.69
D. $15.50
Reasoning:
To solve the problem, use subtraction: $750.00 - $734.52 = $15.48.
Correct answer is A
A ladder rung is about 2 1/2 centimeters thick. Convert this to inches. (1 cm = 0.39
inches) -answer A. 2 inches
B. 1/4 inch
C. 1 inch
D. 3/4 inch
Reasoning:
To calculate the thickness, convert the fraction to a decimal and then multiply: 2.5 x
0.39 = 0.975, rounded up to 1 inch.
Choice C is correct
There were 400 fires within the city limits last year. 25 fires were suspected to be arson.
What is the percentage rate of suspected arson fires? -answer A. 8%
B. 6%
C. 5%
D. 7%
Reasoning:
To calculate the percentage of arson fires, you must multiply 25 x 100 and divide by
400. Add the percent sign: 25 x 100 = 2,500 ÷ 400 = 6.25%.
