Fire fighter Mathematics 2021/2022 Exam with complete solutions.
63 views 0 purchase
Course
Fire fighter Mathematics
Institution
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
...
fire fighter mathematics 20212022 exam with complete solutions
change the following fraction to a percentage 225
if a pile of fire wood is 6 feet long
4 feet high and 2 feet wide how many cubic f
Written for
Fire fighter Mathematics
All documents for this subject (7)
Seller
Follow
EvaTee
Reviews received
Content preview
Fire fighter Mathematics
Change the following fraction to a percentage: 2/25 -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?
-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? -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? -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
,Fire fighter Mathematics
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? -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? -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: -
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 -answer A. 30%
B. 65%
C. 31%
D. 38%
Reasoning:
, Fire fighter Mathematics
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? -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? -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) -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? -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%.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller EvaTee. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $18.99. You're not tied to anything after your purchase.
