# HSPT Quantitative : How to manipulate numbers

## Example Questions

### Example Question #81 : Number Manipulation*

What is  of  percent of ?

Explanation:

First, find   percent of :

Then find  of that value:

### Example Question #82 : How To Manipulate Numbers

What is  less than ?

Explanation:

First, .

Then, subtract :

### Example Question #83 : How To Manipulate Numbers

What is  percent of  of ?

Explanation:

First, find  of :

Then, find  percent of that:

### Example Question #82 : Number Manipulation*

What number multiplied by  equals  of ?

Explanation:

First, .

Then, .

Finally, divide by  to reverse the multiplication:

### Example Question #83 : Number Manipulation*

What is  of  less than ?

Explanation:

First,   less than  is :

.

Then, find  of that value:

### Example Question #84 : Number Manipulation*

What is  percent of  of ?

Explanation:

First, find   of :

Then, find  percent of that value:

### Example Question #85 : Number Manipulation*

What is  of  more than the product of  and ?

Explanation:

First, find the product of  and :

Then, find  more:

Finally, find  of that value:

### Example Question #86 : Number Manipulation*

What is the square root of the product of  and ?

Explanation:

Find the product of  and :

The square root is , because .

### Example Question #87 : Number Manipulation*

What is  of  less than ?

Explanation:

First, use subtraction to find   less than :

Then, find :

### Example Question #84 : Number Manipulation*

What is  percent of ?