FIRE FIGHTER MATHEMATICS EXAM WITH ACTUAL QUESTIONS AND ANSWERS 2024

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%