How to manipulate numbers - HSPT Quantitative
Card 0 of 872
What number is the square of 4 divided by 2?
What number is the square of 4 divided by 2?
First, square 4.

Then divide the answer by two.

First, square 4.
Then divide the answer by two.
Compare your answer with the correct one above
What number is the cube of 4 multiplied by 2?
What number is the cube of 4 multiplied by 2?
First, cube 4.

Multiply that answer by 2.

First, cube 4.
Multiply that answer by 2.
Compare your answer with the correct one above
What number divided by 5 is
of 40?
What number divided by 5 is of 40?
Set up an equation that fits the information:




Set up an equation that fits the information:
Compare your answer with the correct one above
What number added to 15 gives you
of 72 ?
What number added to 15 gives you of 72 ?
Set up an equation using the information provided.




Set up an equation using the information provided.
Compare your answer with the correct one above
What number is 4 times
of 80?
What number is 4 times of 80?
Set up an equation using the information provided, and then solve.



Set up an equation using the information provided, and then solve.
Compare your answer with the correct one above
What number divided by
is
percent of
?
What number divided by is
percent of
?
Work backwards to solve this problem. First,
percent of
is
, because
.
Now, multiply this by
to reverse the division.
, so the answer is 180.
Work backwards to solve this problem. First, percent of
is
, because
.
Now, multiply this by to reverse the division.
, so the answer is 180.
Compare your answer with the correct one above
What number is
of the average of
,
, and
?
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
:


Work backwards to solve this problem. First, the average of ,
, and
is
, because
.
Next, find of this number by dividing by
and multiplying by
:
Compare your answer with the correct one above
What number is
less than the product of
and
?
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
.
Work backwards to solve this problem. First, and
.
The product of these is , because
.
Finally, less than
is
, because
.
Compare your answer with the correct one above
percent of
percent of
is what number?
percent of
percent of
is what number?
percent of
is
, because
.
percent of
is
, because
.
percent of
is
, because
.
percent of
is
, because
.
Compare your answer with the correct one above
is
percent of what number?
is
percent of what number?
Using
to represent the unknown number, we know that
. Using algebraic manipulation, divide both sides by
to find
.

Using to represent the unknown number, we know that
. Using algebraic manipulation, divide both sides by
to find
.
Compare your answer with the correct one above
of what number is
of
?
of what number is
of
?
of
is
, because
.
Then,
of
is
, because
.
of
is
, because
.
Then, of
is
, because
.
Compare your answer with the correct one above
What number is
less than the product of
,
, and
?
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
.

Work backwards to solve this problem. First, find the product of the three numbers:
Second, subtract .
Compare your answer with the correct one above
What number is
percent of the difference between
and
?
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:

Work backwards to solve this problem. First, find the difference between the two numbers through subtraction:
Then, multiply by to find the answer:
Compare your answer with the correct one above
What number when divided by
is the sum of
,
, and
?
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:

Find the sum of the three numbers through addition:
Then, multiply by to reverse the division:
Compare your answer with the correct one above
What number is
percent of the difference between
and
?
What number is percent of the difference between
and
?
Work backwards to solve this problem. First, the difference between
and
is
:

Then,
percent of that is
:

Work backwards to solve this problem. First, the difference between and
is
:
Then, percent of that is
:
Compare your answer with the correct one above
What number is
of
less than
?
What number is of
less than
?
Work backwards to solve this problem. First,
less than
is
:

Then,
of
is
:

Work backwards to solve this problem. First, less than
is
:
Then, of
is
:
Compare your answer with the correct one above
What number is
times
?
What number is times
?
First,
.
Now, multiply by
again:

First, .
Now, multiply by again:
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What number is
percent of
?
What number is percent of
?
Multiply
by
to find
percent:

Multiply by
to find
percent:
Compare your answer with the correct one above
What number, when divided by the product of
and
, equals the square root of
?
What number, when divided by the product of and
, equals the square root of
?
Work backwards to solve this problem. First, the product of
and
is
:

Next, the square root of
is
:

Now, the question is, "What number, when divided by
, equals
?" This can also be written as:

Multiply both sides by
to find
:

Work backwards to solve this problem. First, the product of and
is
:
Next, the square root of is
:
Now, the question is, "What number, when divided by , equals
?" This can also be written as:
Multiply both sides by to find
:
Compare your answer with the correct one above
What is the average of
and
?
What is the average of and
?
The first step is to calculate the squares:


Second, find the average by finding the sum and dividing by the number of numbers:

The first step is to calculate the squares:
Second, find the average by finding the sum and dividing by the number of numbers:
Compare your answer with the correct one above