All HSPT Quantitative Resources
Example Questions
Example Question #71 : How To Manipulate Numbers
percent of is what number?
Multiply by the decimal version of percent:
Example Question #72 : How To Manipulate Numbers
is percent of what number?
Representing the unknown number with an , we know that . Divide both sides by to solve for :
Example Question #73 : How To Manipulate Numbers
What is the difference between and
Calculate what's in the parentheses before exponents:
Subtract to find the difference:
Example Question #74 : How To Manipulate Numbers
What number is percent of ?
Multiply by the decimal version of percent:
Example Question #75 : How To Manipulate Numbers
What is less than the product of and ?
First find the product:
Then subtract :
Example Question #76 : How To Manipulate Numbers
What is the square root of the number that is less than the product of and ?
First, find the product of and :
Next, subtract 9:
Finally, the square root of is , because .
Example Question #77 : How To Manipulate Numbers
What is of percent of ?
First, find percent of :
Then, find of that value:
Example Question #78 : How To Manipulate Numbers
What is the average of , , and percent of ?
First, and percent of is .
Then, add up the numbers and divide by the number of numbers to find the average:
Example Question #78 : How To Manipulate Numbers
What number, divided by , is equal to ?
First, .
Second, dividing by is the same as multiplying by . Divide to reverse this:
Example Question #79 : How To Manipulate Numbers
What number, multiplied by , is of of
Work backwards to solve this problem. First, percent of is :
Then find of that:
Finally, divide by to reverse the multiplication: