FIRE FIGHTER MATHEMATICS EXAM QUESTIONS AND ANSWERS 2024 WITH COMPLETE SOLUTION;(PASS IN FIRST ATTEMPT 100%)

FIRE FIGHTER MATHEMATICS EXAM QUESTIONS AND ANSWERS 2024 WITH COMPLETE SOLUTION;(PASS IN FIRST ATTEMPT 100%) 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 + 3/8 = 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? - 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? - 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 is correct 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 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? - 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 ......................................................................................... ............................................................................................................................................