# HSPT Quantitative : How to manipulate numbers

## Example Questions

### Example Question #71 : How To Manipulate Numbers

percent of  is what number?

Explanation:

Multiply  by the decimal version of  percent:

### Example Question #71 : Number Manipulation*

is  percent of what number?

Explanation:

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

### Example Question #421 : Hspt Quantitative Skills

What is the difference between  and

Explanation:

Calculate what's in the parentheses before exponents:

Subtract to find the difference:

### Example Question #422 : Hspt Quantitative Skills

What number is  percent of ?

Explanation:

Multiply  by the decimal version of  percent:

### Example Question #73 : How To Manipulate Numbers

What is  less than the product of  and ?

Explanation:

First find the product:

Then subtract :

### Example Question #72 : Number Manipulation*

What is the square root of the number that is  less than the product of  and ?

Explanation:

First, find the product of  and :

Next, subtract 9:

Finally, the square root of  is , because .

### Example Question #73 : Number Manipulation*

What is  of  percent of ?

Explanation:

First, find  percent of

Then, find  of that value:

### Example Question #74 : Number Manipulation*

What is the average of , and  percent of ?

Explanation:

First,  and  percent of  is .

Then, add up the numbers and divide by the number of numbers to find the average:

### Example Question #72 : Number Manipulation*

What number, divided by , is equal to ?

Explanation:

First, .

Second, dividing by  is the same as multiplying by . Divide to reverse this:

### Example Question #71 : How To Manipulate Numbers

What number, multiplied by , is  of  of