GED Math : Units and Unit Conversions

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #21 : Units And Unit Conversions

A high school student runs one fourth of a mile in two minutes and thirty seconds. What is his average speed in miles per hour?

Possible Answers:

Correct answer:

Explanation:

Use division to rewrite the runner's speed in terms of miles per minute. One fourth of a mile run in two minutes and thirty seconds can be restated as 

 miles per minute.

Divide the fractions by first rewriting the latter as an improper fraction:

Rewrite as a product of fractions by taking the reciprocal of the latter number:

Cross-cancel, then multiply across:

 miles per minute.

Since 60 minutes make one hour, multiply by 60 minutes per hour:

Put the 60 over 1, cross-cancel, and multiply across:

The runner's speed is 6 miles per hour. 

 

Example Question #22 : Units And Unit Conversions

Convert  hours,  minutes, and  seconds into seconds.

Possible Answers:

Correct answer:

Explanation:

Start by converting  hours into seconds.

Next, convert  minutes into seconds.

Now, add these seconds together along with the  seconds given in the question.

 

Example Question #151 : Numbers

Which of these measurements is not equivalent to the other three?

Possible Answers:

Correct answer:

Explanation:

Examine 2.5 miles first. One mile is equivalent to 5,280 feet, so multiply 2.5 by the conversion factor to get the equivalent in feet:

One foot is equal to 12 inches, so convert feet to inches by multiplying by 12:

One yard is equal to 3 feet, so convert feet to yards by dividing by 3:

2.5 miles, 13,200 feet, and 158,400 inches are all equivalent to one another, but 4,800 yards is not equivalent to any of these, since they are equivalent to 4,400 yards. 4,800 yards is the "odd man out".

Example Question #151 : Numbers And Operations

 gallon bucket must be filled with water. If the bucket is filled one cup at a time, how many cups would it take to fully fill the bucket?

Possible Answers:

Correct answer:

Explanation:

Recall the relationship between cups and gallons. There are  cups in a gallon.

Thus, we can write the following to find out how many cups there are in  gallons.

Example Question #25 : Units And Unit Conversions

I have  of string. How much is that in ?

Possible Answers:

Correct answer:

Explanation:

There are exactly  in . So for every  we have  of that object.

We are given  of string, so in order to figure out how many  we have, we can divide our  by .

There are  's in , meaning that we have  in a .

Our answer is .

Example Question #21 : Units And Unit Conversions

I have  of rope. How much is that in ?

Possible Answers:

Correct answer:

Explanation:

There are  in . So if we want to know how many  we have, we can simply multiply our number of , by how many  are in a .

There are  in .

Our answer is 

Example Question #21 : Units And Unit Conversions

I have  of rope. How much is that in ?

Possible Answers:

Correct answer:

Explanation:

There are two ways you can solve this problem. 

First, know that every  makes up . So let's convert our  into  for now. To do this, we will take our  and divide it by  to get the correct amount of .

We now have . To get to , we must know that for every  we get . To convert our  to , we will divide our  by .

We now have  ,which is our answer. 

The second way to do this problem is if you know how many  are in a  and how many  are in a . Simply take how many  are in a  and how many  are in a  and multiply them together. Then, use that number to divide by .

Our answer is .

Example Question #21 : Units And Unit Conversions

I have  of cable. How much is that in ?

Possible Answers:

Correct answer:

Explanation:

There are  in . In order to convert this to , we will need to divide our  by .

There is  in , so this is our answer.

Our answer is .

Example Question #21 : Units And Unit Conversions

I have  of string. How much is that in ?

 

Possible Answers:

Correct answer:

Explanation:

There are  in , so in order to solve this problem we must multiply  by  to convert this to .

 is equal to , so this is our answer.

Our answer is .

Example Question #151 : Ged Math

I have  of cable. How much is that in ?

Possible Answers:

Correct answer:

Explanation:

There are  in , and we are going from  from . So in order to convert , we will have to divide it by  to reach .

There are  in , so this is our answer.

Our answer is .

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