Fire fighter Mathematic WITH CORRECT ANSWERS 2024.

Change the following fraction to a percentage: 2/25 - correct 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? - correct 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? - correct 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? - correct 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 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? - correct 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? - correct 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: - correct 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 - correct answer 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? - correct 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? - correct 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) - correct 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? - correct 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%. 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? - correct answer 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 is correct If a firefighter worked 1/5 of a 40-hour week, how many hours were worked? - correct answer 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? - correct answer 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 minutes. 170 ÷ 40 = 4.25. Choice D is correct Tom asks 8 friends to help him build a shed. Each friend brings 2 helpers. How many people built the shed, excluding Tom? - correct answer 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 - correct answer 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? - correct answer 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? - correct answer 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: - correct answer 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? - correct answer 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? - correct answer 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? - correct answer 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? - correct answer 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? - correct answer 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 placed 6 feet from a wall? - correct answer 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 sides by 5. Correct answer is Choice B, 20 feet 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 box of books 148 lbs Fire Chief Anderson 250 lbs - correct answer 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 books D. Fire Chief Anderson and stove Reasoning: To calculate the answer, you should use addition. 130 + 75 + 42 + 105 + 148 = 500. Choice C is correct 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 - correct answer 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 formula (P = 4S). For the rectangular rooms, you would use the formula (P = 2L + 2W). Choice A. (2 x 12) + (2 x 10) = 44 Choice B. 4 x 12 = 48 Choice C. (2 x 15) + (2 x 8) = 46 Choice D. 4 x 10 = 40 Choice B. 48 has the greatest perimeter 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) - correct answer 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 - correct answer 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) - correct answer 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 = 39 inches. Choice C, 32 inches is the shortest 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? - correct answer 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 filled. Multiply the result by the weight of a cubic foot of water: 8 x 8 x 8 = 512 ÷ 2 = 256 x 62.5 = 16,000 pounds. Choice C is correct Which of the following rooms has the greatest perimeter? - correct answer 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 formula (P = 4S). For the rectangular rooms, you would use the formula (P = 2L + 2W). Choice A. (2 x 11) + (2 x 9) = 40 Choice B.(4 x 11) = 44 Choice C. (2 x 15) + (2 x 9) = 48 Choice D.(4 x 9) = 36. Choice C is correct If a fire victim weighs 250 pounds, what is the approximate weight in kilograms? (1 kilogram = 2.2 pounds) - correct answer 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 answer 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? - correct answer 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 is correct 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? - correct answer 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? - correct answer 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? - correct answer 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? - correct answer 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? - correct answer 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? - correct answer 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? - correct answer 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 1/2 x 46 = 69 x 1 (overtime hours) = 69 + 368 = $437. Choice C is correct What is the perimeter of a room that is 40 feet wide and 60 feet long? - correct answer 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% - correct answer 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% - correct answer 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? - correct answer 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 - correct answer 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? - correct answer 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? - correct answer 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? - correct answer 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 filled. Multiply the result by the weight of a cubic foot of water: 8 x 8 x 8 = 512 ÷ 4 = 128 x 62.5 = 8,000 pounds. Choice C is correct How many quarts of water will a 15-gallon container hold (1 gallon = 4 quarts) - correct answer 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? - correct answer 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% - correct answer 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? - correct answer 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 is correct 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? - correct answer 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 = $27,552.50. Choice B is correct 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? - correct answer 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? - correct answer 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, you must first determine the length and width. You can either add the four sides together or add the length and width and multiply the result by two. Choice C is correct 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? - correct answer 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) - correct answer 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 = 39 inches. Choice C, 30 inches is the shortest Change the following percent to a decimal: 97% - correct answer 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? - correct answer 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 45 = 135 60 x 3.5 =210 210 - 135 = 75 ÷ 60 = 1.25 hour. Choice A is correct (52 + 11) - 8 = - correct answer 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 - correct answer 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? - correct answer 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 B is correct Which of the following rooms has the greatest perimeter? - correct answer 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 formula (P = 4S). For the rectangular rooms, you would use the formula (P = 2L + 2W). Choice A. (2 x 11) + (2 x 9) = 40 Choice B. 4 x 11 = 44 Choice C. (2 x 15) + (2 x 8) = 46 Choice D. 4 x 9 = 36. Choice C has the greatest perimeter Change the following percent to a decimal: 56% - correct answer 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? - correct answer 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 minutes. 150 ÷ 15 = 10. Choice D is correct What is 25% of 90? - correct answer 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? - correct answer 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 + 3/8 = 7/8. 12/8 - 7/8 = 5/8 inch. Choice A is correct What is 15% of 90? - correct answer 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? - correct answer 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? - correct answer 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 minutes. 150 ÷ 40 = 3.75. Choice D is correct 30% of firefighters in a mid-sized town are women. If there are 200 firefighters in the station, how many women work there? - correct answer 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 - correct answer 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? - correct answer 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? - correct answer 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