ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

Example Question #26 : How To Find The Part From The Whole

Find a quarter of .

Possible Answers:

Correct answer:

Explanation:

To find a part of a whole, we will multiply the fraction (or part) by the whole number.

 

In this case, the question is asking us to find the quarter.  A quarter is equivalent to .  So it is asking us to find

Now, we will multiply.

 

Therefore, a quarter of  is .

Example Question #27 : How To Find The Part From The Whole

What is  of ?

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.  So to find

 of 

we will simply multiply.  So,

Now, before we multiply, we can simplify the fractions to make things easier.  We can simplify the 7 and the 42.  The number 7 can divide into both of those numbers.  So, we get

 

Therefore,  of  is .

Example Question #28 : How To Find The Part From The Whole

If four friends invest equally in a company and they make $50,000 profit, how much is one share of the profit?

Possible Answers:

Correct answer:

Explanation:

Since they invested equally, the four friends will divide the profit equally by .  

So, using long division one share will be,

    

 

     

   

       

   

Another approach is to pull out factors as follows.

One two on the top and one two on the bottom cancel out. Next factor the numerator again.

The two on the top and the two on the bottom cancel out and the final solution is seen.

 

Example Question #31 : How To Find The Part From The Whole

Find  of .

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.

So,

 of 

can be written as

To multiply, we will first write 33 in fraction form.  We get

Now, we can multiply.  We will multiply straight across.  We get

 

Therefore,  of  is .

Example Question #51 : Whole And Part

Find  of .

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.  So,

 of 

can be written as

 

Now, we can multiply.  We must first write 21 in fraction form.  We get

 

Now, we multiply straight across.  We get

 

Therefore,  of  is .

Example Question #61 : Whole And Part

What is a quarter of ?

Possible Answers:

Correct answer:

Explanation:

When looking at the problem, we see we need to find a quarter of .  The first thing we need to do is write "a quarter" in fraction form.  

We know that a quarter is the same as .  So, we can write it like

 of 

 

Now, to find a fraction of a whole number, we will multiply the fraction by the whole number.  We get

 

Now, to multiply, we will write  in fraction form.  We get

 

Now, we can multiply straight across.  We get

 

Therefore, a quarter of  is .

Example Question #141 : Numbers And Operations

Find  of .

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole, we will multiply the fraction by the whole number.  So,

 of 

can be written as

 

Now, to multiply, we need to write 36 as a fraction.  We know that any whole number can be written as a fraction over 1.  So, we get

 

Now, we will multiply straight across.  We get

 

Therefore,   of  is .

Example Question #142 : Numbers And Operations

Find  of .

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.

So,

 of 

can be written as

 

Now, to multiply, we need to write 16 as a fraction.  We know we can write any whole number over 1.  So, we can write 16 over 1.  We get

 

Now, we can multiply straight across.  We get

 

Therefore,   of  is .

Example Question #31 : How To Find The Part From The Whole

Find three-quarters of .

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.

So, in the problem

three-quarters of 

we will first write three-quarters as a fraction.  

Three-quarters is the same as .  So, we can write it as

 of 

which can be re-written as

Now, we need to write 12 as a fraction.  We know that whole numbers can be written as the number over 1.  So, we can write it as

Now, we can multiply straight across.  We get

 

Therefore, three-quarters of  is .

Example Question #143 : Numbers And Operations

What is  of  ? 

Possible Answers:

Correct answer:

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. 

So, in the problem

 of 

we can write it as

 

Now, we will write 27 as a fraction.  We know a whole number can be written as a fraction over 1.  So,

Now, before we multiply, we can simplify to make things easier. We know that 3 and 27 can both be divided by 3.  So,

Now, we can multiply straight across.  We get

 

Therefore,  of  is .

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