# HSPT Quantitative : How to manipulate numbers

## Example Questions

### Example Question #31 : Number Manipulation*

is  percent of what number?

Explanation:

Using  to represent the unknown number, we know that . Solve for  by dividing both sides by :

### Example Question #32 : Number Manipulation*

What number multiplied by  is  of ?

Explanation:

First, find   of :

Then, divide by  to reverse the multiplication:

### Example Question #33 : Number Manipulation*

What number subtracted from  makes  percent of ?

Explanation:

First, find   percent of :

Then, subtract from  to find the difference:

### Example Question #31 : How To Manipulate Numbers

What number is  percent of ?

Explanation:

Multiply  by the decimal  to find the answer:

### Example Question #34 : Number Manipulation*

What is the difference between  of  and ?

Explanation:

First calculate   of  :

Then, square :

Subtract to find the difference:

### Example Question #35 : Number Manipulation*

What is  more than  percent of ?

Explanation:

First, find   percent of :

### Example Question #36 : Number Manipulation*

What number multiplied by  is  of ?

Explanation:

First,   of  is :

Then, divide by :

### Example Question #37 : Number Manipulation*

What number is  less than  percent of ?

Explanation:

First,  percent of  is :

Next, subtract :

### Example Question #31 : Number Manipulation*

What number is  times ?

Explanation:

First, .

Now, multiply by  again:

### Example Question #38 : Number Manipulation*

is  percent of what number?