All HSPT Quantitative Resources
Example Questions
Example Question #11 : How To Manipulate Numbers
What number is of the average of , , and ?
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 #12 : How To Manipulate Numbers
What number is less than the product of and ?
Work backwards to solve this problem. First, and .
The product of these is , because .
Finally, less than is , because .
Example Question #13 : How To Manipulate Numbers
percent of percent of is what number?
percent of is , because .
percent of is , because .
Example Question #14 : How To Manipulate Numbers
of what number is of ?
of is , because .
Then, of is , because .
Example Question #15 : How To Manipulate Numbers
What number is less than the product of , , and ?
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 ?
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 #17 : How To Manipulate Numbers
What number when divided by is the sum of , , and ?
Find the sum of the three numbers through addition:
Then, multiply by to reverse the division:
Example Question #12 : How To Manipulate Numbers
What is the difference between and ?
First, calculate the exponents:
Subtract these two to find the difference:
Example Question #19 : How To Manipulate Numbers
What number is less than percent of ?
Work backwards to solve this problem. First, percent of is :
Second, subtract :
Example Question #13 : How To Manipulate Numbers
What is less than the square root of ?
First, the square root of is because .
Second, .