HSPT Quantitative : How to manipulate numbers

Example Questions

Example Question #11 : Number Manipulation*

What number is  of the average of , , and ?

Explanation:

Work backwards to solve this problem. First, the average of , , and  is , because .

Next, find  of this number by dividing by  and multiplying by :

Example Question #11 : Number Manipulation*

What number is  less than the product of  and ?

Explanation:

Work backwards to solve this problem. First,  and .

The product of these is , because .

Finally,  less than  is , because .

Example Question #11 : How To Manipulate Numbers

percent of  percent of  is what number?

Explanation:

percent of  is , because .

percent of  is , because .

Example Question #12 : Number Manipulation*

of what number is  of ?

Explanation:

of  is , because .

Then,  of  is , because .

Example Question #361 : Hspt Quantitative Skills

What number is  less than the product of , and ?

Explanation:

Work backwards to solve this problem. First, find the product of the three numbers:

Second, subtract .

Example Question #16 : How To Manipulate Numbers

What number is  percent of the difference between  and ?

Explanation:

Work backwards to solve this problem. First, find the difference between the two numbers through subtraction:

Then, multiply by  to find the answer:

Example Question #11 : Number Manipulation*

What number when divided by  is the sum of , and ?

Explanation:

Find the sum of the three numbers through addition:

Then, multiply by  to reverse the division:

Example Question #12 : Number Manipulation*

What is the difference between  and ?

Explanation:

First, calculate the exponents:

Subtract these two to find the difference:

Example Question #11 : Number Manipulation*

What number is  less than  percent of ?

Explanation:

Work backwards to solve this problem. First,   percent of  is :

Second, subtract :

Example Question #11 : How To Manipulate Numbers

What is  less than the square root of ?