# HSPT Quantitative : How to manipulate numbers

## Example Questions

### Example Question #61 : How To Manipulate Numbers

What is  percent of ?

Explanation:

Multiply  by the decimal version of  percent to find the answer:

### Example Question #61 : Number Manipulation*

What number is  of  percent of ?

Explanation:

First,  percent of  is :

Then, find :

### Example Question #63 : Number Manipulation*

What is the difference between  and ?

Explanation:

First, .

Then, .

Subtract to find the difference:

### Example Question #62 : Number Manipulation*

is  percent of what number?

Explanation:

Representing the unknown number with an , we know that . Divide both sides by  to find :

### Example Question #63 : Number Manipulation*

What is the difference between  percent of  and  percent of ?

Explanation:

First, find  percent of  :

And  percent of :

Then subtract to find the difference:

### Example Question #64 : Number Manipulation*

What is  less than  of ?

Explanation:

First, find   of :

Then subtract :

### Example Question #65 : Number Manipulation*

What number, divided by , equals  percent of ?

Explanation:

First, find  percent of :

Then, multiply by  to reverse the division:

### Example Question #66 : Number Manipulation*

What number is  more than  of ?

Explanation:

First, find  of :

Then, find  more:

### Example Question #67 : Number Manipulation*

What number, divided by , is  percent of ?

Explanation:

First, find   percent of :

Then, multiply by  to reverse the division:

### Example Question #61 : How To Manipulate Numbers

What is the average of , and ?