Fire fighter Mathematics

Change the following fraction to a percentage: 2/25

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?

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?

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/

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

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 hold

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?

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?

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:

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

A. 30%
B. 65%
C. 31%
D. 38%
Reasoning:
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?

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?

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)

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?

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%.
Choice B is correct

Firefighter Smith has been promoted to assistant fire chief and has been given a raise. He was earning $29,750 a year and has been given a 6% salary increase. How much is he now making?

A. $30,500
B. $31,535
C. $32,650
D. $31,955
Reasoning:
There are three steps to solve this problem. First, convert 6% to a decimal = 0.06. Multiply that by $29,750 to determine salary increase. Finally, add the result: $1,785 + $29,750 = $31,535.
Choice B

If a firefighter worked 1/5 of a 40-hour week, how many hours were worked?

A. 15
B. 10
C. 8
D. 5
Reasoning:
To determine how many hours the firefighter worked: 1/5 x 40 = 8.
Choice C is correct

During a fire, the pump control gauge shows a pressure of 360 pounds per square inch (psi) at 12:30 p.m. By 1:10 p.m. the pressure had reduced to 190 psi. What was the average psi loss per minute?

A. 11
B. 5
C. 6
D. 4.25
Reasoning:
To find the average psi loss per minute, you must calculate the total amount of psi loss: 360 - 190 = 170 psi. Then, determine the length of time: 12:30 - 1:10 = 40 minutes. Next, divide the psi total by the number of mi

Tom asks 8 friends to help him build a shed. Each friend brings 2 helpers. How many people built the shed, excluding Tom?

A. 10
B. 24
C. 16
D. 20
Reasoning:
Each of Tom's 8 friends brought 2 helpers, meaning that there were 8 groups of 3: 8 x 3 = 24.
Choice B is correct

Change the following decimal to a percentage: .455

A. 90%
B. 4.45%
C. 45.5%
D. 45.4%
Reasoning:
To solve the problem, move the decimal point two places to the right and add the percent sign: .455 = 45.5%.
Choice C is correct

Fire Chief Smith has requested a computer system upgrade. The chief wants 6 mb of RAM which will cost $150, two new programs at $275 each, an automatic back up system for $220 and 1 additional back up tape costing $20. How much will this cost?

A. $975
B. $820
C. $940
D. $850
Reasoning:
To solve the problem, add the cost of the items together: 150 + 275 + 275 + 220 + 20 = 940.
Choice C is correct

Tom asks 3 friends to help him build a shed. Each friend brings 2 helpers. How many people built the shed, excluding Tom?

A. 10
B. 9
C. 11
D. 7
Reasoning:
Each of Tom's 3 friends brought 2 helpers, meaning that there were 3 groups of 3:
3 x 3 = 9.
Choice B is correct

One gallon of water weighs about 8.5 pounds. A 10-gallon tank of water would weigh:

A. 80.5 pounds
B. 85 pounds
C. 84.5 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 10 = 85 pounds.
Choice B is correct

One gallon of water weighs 8.35 pounds so what does a 85-gallon water container weigh approximately?

A. 654 pounds
B. 700 pounds
C. 723 pounds
D. 710 pounds
Reasoning:
To solve this problem, you must multiply the weight on one gallon of water by the number of gallons: 8.35 x 85 = 709.75, rounded to the nearest unit is 710 pounds.
Choice D is correct

One gallon of water weighs 8.5 pounds. If the water tank on a pumper truck holds 900 gallons of water when full, how much does the water weigh?

A. 7,650 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: 900 x 8.5 = 7,650 pounds.
Choice A is correct

One gallon of water weighs 8.35 pounds so what does a 12-gallon water container weigh approximately?

A. 105 pounds
B. 122 pounds
C. 102 pounds
D. 100 pounds
Reasoning:
To solve this problem, you must multiply the weight on one gallon of water by the number of gallons: 8.35 x 12 = 100.2, rounded to the nearest unit is 100 pounds.
Choice D is correct

Tom asks 5 friends to help him build a shed. Each friend brings 2 helpers. How many people built the shed, excluding Tom?

A. 10
B. 15
C. 16
D. 20
Reasoning:
Each of Tom's 5 friends brought 2 helpers, meaning that there were 5 groups of 3: 5 x 3 = 15.
Choice B is correct

22 is what % of 25?

A. 92%
B. 75%
C. 88%
D. 47%
Reasoning:
To calculate the percentage, multiply 22 x 100 � 25 = 88%.
Choice C is correct

To determine the distance from a wall that the base of a ladder should be placed, emergency services often use the following formula: (Length of ladder � 5) + 2 = distance from the wall. With this formula, calculate the height of the ladder if the base is

A. 15 feet
B. 20 feet
C. 25 feet
D. 30 feet
Reasoning:
Since the distance from the wall is stated, you would use the formula: (x � 5) + 2 = 6. To begin to determine the value of x, subtract 2 from both sides. Now you have x � 5 = 4. Now multiply both side

If a freight elevator can safely carry 500 pounds, which of the following combinations can safely fit into this elevator?
crate of wire - 130 lbs
refrigerator - 210 lbs
stove 325 lbs
suitcase - 105 lbs
computer and printer 75 lbs
sack of groceries 42 lbs

A. suitcase, computer and printer, box of books, refrigerator and sack of groceries
B. crate of wire, suitcase, computer and printer, Fire Chief Anderson and sack of groceries
C. crate of wire, computer and printer, sack of groceries, suitcase and box of

Which of the following rooms has the greatest perimeter?
A. a rectangular room 12 feet x 10 feet
B. a square room 12 feet x 12 feet
C. a rectangular room 15 feet x 8 feet
D. a square room 10 feet x 10 feet

A. a rectangular room 12 feet x 10 feet
B. a square room 12 feet x 12 feet
C. a rectangular room 15 feet x 8 feet
D. a square room 10 feet x 10 feet
Reasoning:
First, you must determine the perimeters of each room. For the square rooms, you would use the

If a water tank on the back of a fire truck is 8 feet long, 6 feet wide and 4 feet high, how many cubic feet will it hold? (v = lwh)

A. 96 cubic feet
B. 18 cubic feet
C. 192 cubic feet
D. 202 cubic feet
Reasoning:
To calculate how many cubic feet of water can the tank hold, you would multiply 8 x 6 x 4 = 192 cubic feet.
Answer C is correct

Change the following fraction to a percentage: 1/25

A. 0.4%
B. 2.5%
C. 4%
D. 25%
Reasoning:
To solve the problem, multiply the fraction by 100. 1/25 = 100/25. Then divide the fraction's bottom number into the top number. 100 � 25 = 4. Add the percent sign: 1/25 = 4%.
Choice C is correct

Which of the following is shortest? (1 cm = 0.39 inches, 1 meter = 100 cm)

A. 85 centimeters
B. 1 yard
C. 32 inches
D. 1 meter
Reasoning:
First, you must convert centimeters to inches. A. Multiply 85 cm by 0.39 inches = 33.15 inches. B. 1 yard = 36 inches. C. 32 inches = 32 inches. D. Multiply 100 cm or 1 meter by 0.39 inches =

A 1-cubic foot container of water weighs 62.5 pounds. If a water cistern measures 8 feet x 8 feet x 8 feet, how much does a half-filled cistern weigh?

A. 8,000 pounds
B. 16,200 pounds
C. 16,000 pounds
D. 16,280 pounds
Reasoning:
To solve the problem, you must first determine the volume of water in the tank. To do this you would multiply the length x width x height. Divide by 2 since the tank is only 1/2

Which of the following rooms has the greatest perimeter?

A. a rectangular room 11 feet x 9 feet
B. a square room 11 feet x 11 feet
C. a rectangular room 15 feet x 9 feet
D. a square room 9 feet x 9 feet
Reasoning:
First, you must determine the perimeters of each room. For the square rooms, you would use the for

If a fire victim weighs 250 pounds, what is the approximate weight in kilograms? (1 kilogram = 2.2 pounds)

A. 94 kilograms
B. 114 kilograms
C. 141 kilograms
D. 154 kilograms
Reasoning:
First, you must divide the number of pounds by the number of kilograms in a pound (2.2): 250 � 2.2 = 113.63. Rounded to the nearest unit which is 114.
Choice B is the correct an

Fire pumpers can pump more water using a hose with a larger diameter. Each inch in diameter increases the amount of pumped water by 74 gallons per minute. What size hose should be used to pump 296 gallons of water per minute?

A. 1-inch hose
B. 2-inch hose
C. 3-inch hose
D. 4-inch hose
Reasoning:
To find out how many inches of hose diameter would be needed to pump 296 gallons per minute, you would divide 74 into 296, which equals 4. The correct answer is a 4 inch hose.
Choice D

175 feet of hose were required to reach a fire on a roof. The only available hoses were 45 feet long. How many sections were needed to be connected together to reach the fire?

A. 4
B. 3
C. 5
D. 6
Reasoning:
To determine how many 45-foot hoses were required to cover the 175 foot distance, you would divide the distance by the length of hoses and round up. 175 � 45 = 3.89. Rounded up is 4.
Choice A is correct

Insurance studies have determined that automatic sprinkler systems save about $8,400 in damages per office fire. If a city has an average of 18 office fires per week, how much money is saved if all the offices have installed sprinkler systems?

A. $145,100
B. $135,600
C. $151,200
D. $162,300
Reasoning:
To find the answer, multiply the amount saved per fire by the average number of fires: $8,400 x 18 = $151,200.
Choice C is correct

Firefighter Smith drove 4.9 miles to the fire station. He then drove 2.25 miles to do a fire inspection. Then he drove 3.2 miles to do another inspection. Returning to his station, he drove 1.6 miles. How many miles did he drive in total?

A. 12.25 miles
B. 11.95 miles
C. 13.25 miles
D. 11.5 miles
Reasoning:
To find the total mileage driven, add 4.9 + 2.25 + 3.2 + 1.6 = 11.95 miles.
Choice B is correct

Tom asks 3 friends to help him repair his roof. Each friend brings 2 helpers. How many people repaired the roof, excluding Tom?

A. 8
B. 9
C. 6
D. 7
Reasoning:
Each of Tom's 3 friends brought 2 helpers, meaning that there were 3 groups of 3: 3 x 3 = 9.
Choice B is correct

A brush fire was located almost 225 feet from the access road. The only available hoses were 60 feet long. How many hoses were needed to be connected together to reach the fire?

A. 4
B. 3
C. 5
D. 6
Reasoning:
To determine how many 60-foot hoses were required to cover the 225 foot distance, you would divide the distance by the length of hoses and round up. 225 � 60 = 3.75. Rounded up is 4.
Choice A is correct.

If a water tank measures 6 feet x 8 feet x 3 feet, how many cubic feet of water does it hold?

A. 125
B. 151
C. 170
D. 144
Reasoning:
To solve the problem, you must multiply length x width x height: 6 x 8 x 3 = 144 cubic feet.
Choice D is correct

A firefighter trainer makes $46.00 an hour. After a 8-hour shift, overtime is paid at 1 1/2 x the regular hourly wage. How much was earned for working 9 hours in one day?

A. $475
B. $432
C. $437
D. $384
Reasoning:
To calculate the earnings, multiply the hourly wage by the number of regular hours worked. Then multiply the hourly wage by the overtime rate of 1 1/2 x 1 hours. Then add the two results together, 46 x 8 = 368, 1

What is the perimeter of a room that is 40 feet wide and 60 feet long?

A. 60 feet
B. 100 feet
C. 200 feet
D. 400 feet
Reasoning:
The perimeter of the room is calculated by adding 40 plus 60 and then multiplying by 2. The answer is 200 feet.
Choice C is correct

Change the following percent to a decimal: 23%

A. 0.23
B. 0.77
C. 0.13
D. 1.30
Reasoning:
To solve the problem, drop the percent sign and move the decimal point two places to the left: 23% = 0.23.
Choice A is correct

Change the following percent to a decimal: 2%

A. 0.04
B. 0.02
C. 0.002
D. 0.30
Reasoning:
To solve the problem, drop the percent sign and move the decimal point two places to the left: 2% = 0.02.
Choice B is correct

The assistant fire chief can type reports at 90 words per minute. How long will it take to type a 945-word report?

A. 10 1/2 minutes
B. 11 minutes
C. 9 minutes
D. 9 1/2 minutes
Reasoning:
To solve the problem, divide the number of words typed by the number of words per minute: 945 � 90 = 10 1/2.
Choice A is correct

Change the following fraction to a percentage: 12/25

A. 38%
B. 45%
C. 48%
D. 44%
Reasoning:
To solve the problem, multiply the fraction by 100. 12/25 = 1200/25. Then divide the fraction's bottom number into the top number. 1200 � 25 = 48. Add the percent sign: 12/25 = 48%.
Choice C is correct

If a water tank measures 8 feet x 6 feet x 3 feet, how many cubic feet of water does it hold?

A. 144
B. 151
C. 170
D. 125
Reasoning:
To solve the problem, you must multiply length x width x height: 8 x 6 x 3 = 144 cubic feet.
Choice A is correct

What is 5% of 90?

A. 85
B. 14.5
C. 4.5
D. 45
Reasoning:
To solve the problem 5% of 90, multiply both numbers together and divide by 100: 5 x 90 = 450 � 100 = 4.5
Choice C is correct

A 1-cubic foot container of water weighs 62.5 pounds. If a water cistern measures 8 feet x 8 feet x 8 feet, how much does a quarter-filled cistern weigh?

A. 80,000 pounds
B. 6,200 pounds
C. 8,000 pounds
D. 5,280 pounds
Reasoning:
To solve the problem, you must first determine the volume of water in the tank. To do this you would multiply the length x width x height. Divide by 4 since the tank is only 1/4 f

How many quarts of water will a 15-gallon container hold (1 gallon = 4 quarts)

A. 60 quarts
B. 75 quarts
C. 65 quarts
D. 10 quarts
Reasoning:
To solve this problem you would multiply 15 x 4 = 60 quarts.
Choice A is correct

What is 80% of 80?

A. 64
B. 80
C. 32
D. 55
Reasoning:
To solve the problem 80% of 80, multiply both numbers together and divide by 100: 80 x 80 = 6400 � 100 = 64.
Choice A is correct

Change the following percent to a decimal: 3%

A. 0.06
B. 0.03
C. 0.003
D. 0.30
Reasoning:
To solve the problem, drop the percent sign and move the decimal point two places to the left: 3% = 0.03.
Choice B is correct

Firefighter Smith has been on the force for one year and has been given his first raise. He was earning $28,500 a year and has been given a 4% salary increase. How much is he now making?

A. $28,700
B. $29,640
C. $29,200
D. $29,350
Reasoning:
There are three steps to solve this problem. First, convert 4% to a decimal = 0.04. Multiply that by $28,500 to determine salary increase. Finally, add the result: $1,140 + $28,500 = $29,640.
Choice B

Firefighter Smith has been on the force for one year and has been given his first raise. He was earning $26,750 a year and has been given a 3% salary increase. How much is he now making?

A. $28,700.75
B. $27,552.50
C. $29,200.00
D. $29,350.00
Reasoning:
There are three steps to solve this problem. First, convert 3% to a decimal = 0.03. Multiply that by $26,750 to determine salary increase. Finally, add the result: $802.50 + $26,750 = $27,

The public must be kept away from an area that is 22 feet long and 30 feet wide. How many feet of rope will be needed to rope it off?

A. 96 feet
B. 104 feet
C. 102 feet
D. 124 feet
Reasoning:
To calculate the amount of rope needed, you would multiply (22 x 2) + (30 x 2) = 104 feet.
Choice B is correct

How do you calculate the perimeter of a rectangular shaped building?

A. add the two sides together
B. add the four sides together and multiply the result by two
C. add the measurements of all sides
D. multiply the length by the width and divide by four
Reasoning:
To calculate the perimeter of a rectangular shaped building,

There were 600 fires within the city limits last year. 36 fires were suspected to be arson. What is the percentage rate of suspected arson fires?

A. 9%
B. 8%
C. 6%
D. 12%
Reasoning:
To calculate the percentage of arson fires, you must multiply 36 x 100 and divide by 600. Add the percent sign: 36 x 100 = 3,600 � 600 = 6%.
Choice C is correct

Which of the following is shortest? (1 cm = 0.39 inches, 1 meter = 100 cm)

A. 85 centimeters
B. 1 yard
C. 30 inches
D. 1 meter
Reasoning:
First, you must convert centimeters to inches.
A. Multiply 85 cm by 0.39 inches = 33.15 inches.
B. 1 yard = 36 inches.
C. 30 inches = 30 inches.
D. Multiply 100 cm or 1 meter by 0.39 inches =

Change the following percent to a decimal: 97%

A. 0.79
B. 0.89
C. 1.94
D. 0.97
Reasoning:
To solve the problem, drop the percent sign and move the decimal point two places to the left: 97% = 0.97.
Choice D is correct

Firefighters took three tests that each required 45 minutes. If they then took one last test and all four tests required a total of 3.5 hours, how long did the last test take?

A. 1.25 hour
B. 1 hour
C. 3/4 hour
D. 1 1/4 hour
Reasoning:
First, you must multiply 3 x 45 to determine the amount of time taken for the four exams. Then change 3.5 hours to minutes. Subtract one from the other and divide by 60 to reconvert to hours:
3 x

(52 + 11) - 8 =

A. 67
B. 55
C. 57
D. 54
Reasoning:
First, solve the problem inside the parentheses: 52 + 11 = 63. Then, subtract 8 from 63 to get the correct answer of 55. Choice B is correct.

Change the following decimal to a percentage: .445

A. 90%
B. 4.45%
C. 44.5%
D. 45.4%
Reasoning:
To solve the problem, move the decimal point two places to the right and add the percent sign: .445 = 44.5%.
Choice C is correct

Firefighter Smith has been on the force for one year and has been given his first raise. He was earning $29,600 a year and has been given a 3% salary increase. How much is he now making?

A. $28,700
B. $30,488
C. $31,480
D. $29,350
Reasoning:
There are three steps to solve this problem. First, convert 3% to a decimal = 0.03. Multiply that by $29,600 to determine salary increase. Finally, add the result: $888.00 + $29,600 = $30,488.
Choice

Which of the following rooms has the greatest perimeter?

A. a rectangular room 11 feet x 9 feet.
B. a square room 11 feet x 11 feet
C. a rectangular room 15 feet x 8 feet
D. a square room 9 feet x 9 feet
Reasoning:
First, you must determine the perimeters of each room. For the square rooms, you would use the fo

Change the following percent to a decimal: 56%

A. 0.56
B. 0.28
C. 1.56
D. 1.02
Reasoning:
To solve the problem, drop the percent sign and move the decimal point two places to the left: 56% = 0.56.
Choice A is correct

During a fire, the pump control gauge shows a pressure of 240 pounds per square inch (psi) at 2:30 p.m. By 2:45 p.m. the pressure had reduced to 90 psi. What was the average psi loss per minute?

A. 8
B. 11
C. 9
D. 10
Reasoning:
To find the average psi loss per minute, you must calculate the total amount of psi loss: 240 - 90 = 150 psi. Then, determine the length of time: 2:45 - 2:30 = 15 minutes. Next, divide the psi total by the number of minute

What is 25% of 90?

A. 19
B. 25
C. 22.5
D. 20
Reasoning:
To solve the problem 25% of 90, multiply both numbers together and divide by 100: 25 x 90 = 2,250 � 100 = 22.5.
Choice 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 1/2 inches. What is the width of the third layer?

A. 5/8 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 1/2 = 12/8. Add the first and second layer and then subtract the sum from the total thickness: 4/8 + 3/

What is 15% of 90?

A. 19
B. 35
C. 13.5
D. 45
Reasoning:
To solve the problem 15% of 90, multiply both numbers together and divide by 100: 15 x 90 = 1350 � 100 = 13.5.
Choice C is correct

In one year, there were about 512 visits paid to neighborhood schools as part of the fire education program. There are 800 schools in the district. What percentage were visited?

A. 49%
B. 51%
C. 64%
D. 57%
Reasoning:
To calculate the percentage of visits, you would first multiply 512 x 100 � 800 = 64.
Choice C is correct

During a fire, the pump control gauge shows a pressure of 360 pounds per square inch (psi) at 12:30 p.m. By 1:10 p.m. the pressure had reduced to 210 psi. What was the average psi loss per minute?

A. 3
B. 5
C. 6
D. 3.75
Reasoning:
To find the average psi loss per minute, you must calculate the total amount of psi loss: 360 - 210 = 150 psi. Then, determine the length of time: 12:30 - 1:10 = 40 minutes. Next, divide the psi total by the number of min

30% of firefighters in a mid-sized town are women. If there are 200 firefighters in the station, how many women work there?

A. 60
B. 50
C. 70
D. 30
Reasoning:
To calculate the number of female firefighters working in the station, multiply 30% or .30 x 200 = 60.
Choice A is correct

Change the following fraction to a percentage: 3/8

A. 37.5%
B. 35%
C. 40%
D. 96%
Reasoning:
To solve the problem, multiply the top fraction by 100. 3/8 = 300/8. Then divide the fraction's bottom number into the top number. 300 � 8 = 37.5. Add the percent sign: 3/8 = 37.5%.
Choice A is correct

What is 30% of 40?

A. 15
B. 10
C. 70
D. 12
Reasoning:
To solve the problem 30% of 40, multiply both numbers together and divide by 100: 30 x 40 = 1200 � 100 = 12.
Choice D is correct

70% of firefighters in a station were married. If there are 60 firefighters in the station, how many were single?

A. 18
B. 22
C. 50
D. 47
Reasoning:
To calculate the number of single firefighters working in the station, multiply 70% or .70 x 60 = 42. Since there are a total of 60 firefighters you would then subtract 60 - 42 = 18.
Choice A is correct