Firefighter Exam Practice Test Math
Which of the following is 1/3 of 3/4?
Correct answer: 1/4
1/3 X 3/4 = 3/12 = 1/4
What is the fraction of $75 that equals $1500?
Correct answer: 1/20
75/1500 = 15/300 = 3/60 = 1/20
What is the sum of 3.14 + 2.73 + 23.7 ?
Correct answer: 29.57
3.14 + 2.73 = 5.87 and 5.87 + 23.7 = 29.57
Jell spent 15% of her earnings on an item and ended up with $120. What percentage of her income is still available?
Correct answer: 85%
Jell spent 15%, so the total is 100% - 15% = 85%.
Convert 0.27 + 0.33 to a fraction.
Correct answer: 3/5
To convert a decimal to a fraction, use the decimal places as your denominator, in this case 2, so in 0.27, ‘7' is in the 100th place, so the fraction is 27/100, and 0.33 becomes 33/100. Next, quickly estimate the answer to eliminate obvious wrong choices. 27/100 is about a quarter, and 33/100 is about a third. Because 1/3 is slightly larger than 1/4 and 1/4 + 1/4 equals 1/2, the answer will be slightly larger than 1/2. Looking at the options, Choice B can be ruled out because 3/6 = 1/2. Choice C, 2/7, is less than 1/2 and can be discarded. As a result, the answer will be either Choice D or Choice C. Do the math: 0.27 + 0.33 = 0.60, and 0.60 = 60/100 = 3/5.
What is the total of (3.13 + 7.87) X 5?
Correct answer: 55
3.13 + 7.87 equals 11, and 11 X 5 equals 55.
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To the lowest terms, reduce 2/4 X 3/4.
Correct answer: 3/8
2/4 X 3/4 = 6/16, and the lowest terms is 3/8.
John has agreed to buy a Coke for everyone. Each drink costs $1.89, and there are 5 people in the group. Calculate John's cost.
Correct answer: $10
If we have 5 friends and each drink costs $1.89, we can round up to $2 per drink and calculate the total cost as 5 X $2 = $10. The actual cost is 5 X $1.89 = $9.45.
At a cost of $5 per meter, the total cost of constructing a fence around a square-shaped field is $2000. What is the measurement of one side?
Correct answer: 100 meters
The total cost is $2000, and we've been told that $5 is spent per meter. Using these two pieces of information, we can calculate that the total length of the fence is 2000/5 = 400 meters. The fence encircles a square-shaped field. If one of the square's sides is "a," the perimeter of the square is "4a." The perimeter is 400 meters in this case. So, 400 = 4a 100 = a -> one side of the square is equal to 100 meters.
How far will a train travel in 12 seconds if it travels at 72 kilometers per hour?
Correct answer: 240 m
1 hour equals 3600 seconds, and 1 kilometer equals 1000 meters. As a result, a train travels 72000 meters in 36000 seconds. Distance traveled in 12 seconds = 12 × 72000/3600 = 240 meters.
Mark spent $80 on 15 dozen eggs. During loading and unloading, 16 eggs were broken. He sold the last of the eggs for $0.54 each. What will be his profit percentage?
Correct answer: 11%
Let us start with the money Mark spent: $80 We must now locate the funds earned by Mark:
He had 15 dozen eggs, which equaled 15 * 12 = 180 eggs. 16 eggs were shattered. So, the remaining number of eggs sold by Tony is 180 – 16 = 164. The total amount he earned for selling 164 eggs was $88.56 (164 * 0.54).
In total, he spent $80 and earned $88.56. The difference is the profit: 88.56 minus 80 = $8.56
Percentage profit is calculated by dividing the profit by the amount spent: 8.56‣100/80 = 10.7%
We round 10.7 to the nearest whole number after checking the answers: 11%
What is the total of 0.78 + 0.38?
Correct answer: 1.16
1 1 + 0.78 + 0.38 = 1.16
L111 has a fuel economy of 4 miles per gallon. How many gallons of fuel will L111 have used if it drives 76 miles? Round up to the nearest whole number.
Correct answer: 19
To keep things simple, divide 76 (miles driven) by 4 (mpg) = 19 (gallons).
How much money will you spend if gas costs $3.29 per gallon and you buy 6.5 gallons?
Correct answer: $21.39
3.29 multiplied by 6.5 equals 21.39
How far did a fire engine travel if it was traveling down the interstate at 55 mph and arrived at the reported vehicle fire 13 minutes later?
Use the following equation: Distance = Rate X Time
Correct answer: 12 miles
An hour is made up of 60 minutes. So take 13 (minutes) and divide it by 60 (minutes) to get...2166666667. Take.216666667 and multiply it by 55 (mph) to get a rough estimate of 11.9 (miles). You get 12 miles if you round to the nearest whole number.
The square footage of a building must be obtained during the preplan process. You own a strip mall with two tenants. One occupancy is 96' x 52' and the other is 114' x 52'. How big is this building in terms of square footage?
Correct answer: 11,000
The building's square footage is approximately 11,000 square feet. To get this measurement, multiply length by width. As a result, 96' X 114' equals 210' X 52' = 11000.