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 #12 : 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 #11 : Number Manipulation*
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 #12 : Number Manipulation*
What is less than the square root of
?
First, the square root of is
because
.
Second, .
All HSPT Quantitative Resources
