Number Manipulation* - HSPT Quantitative
Card 1 of 872
What number is the square of 4 divided by 2?
What number is the square of 4 divided by 2?
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First, square 4.
Then divide the answer by two.
First, square 4.
Then divide the answer by two.
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What number is the cube of 4 multiplied by 2?
What number is the cube of 4 multiplied by 2?
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First, cube 4.
Multiply that answer by 2.
First, cube 4.
Multiply that answer by 2.
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What number divided by 5 is 
of 40?
What number divided by 5 is
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Set up an equation that fits the information:
Set up an equation that fits the information:
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What number added to 15 gives you 
of 72 ?
What number added to 15 gives you
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Set up an equation using the information provided.
Set up an equation using the information provided.
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What number is 4 times 
of 80?
What number is 4 times
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Set up an equation using the information provided, and then solve.
Set up an equation using the information provided, and then solve.
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What number divided by 
is 
percent of 
?
What number divided by
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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,
Now, multiply this by
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What number is 
of the average of 
, 
, and 
?
What number is
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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
Next, find
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What number is 
less than the product of 
and 
?
What number is
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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,
The product of these is
Finally,
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percent of 
percent of 
is what number?
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percent of 
is 
, because 
.
percent of 
is 
, because 
.
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is 
percent of what number?
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Using 
to represent the unknown number, we know that 
. Using algebraic manipulation, divide both sides by 
to find 
.
Using
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of what number is 
of 
?
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of 
is 
, because 
.
Then, 
of 
is 
, because 
.
Then,
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What number is 
less than the product of 
, 
, and 
?
What number is
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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
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What number is 
percent of the difference between 
and 
?
What number is
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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
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What number when divided by 
is the sum of 
, 
, and 
?
What number when divided by
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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
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is 
percent of what number?
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Using 
to represent the unknown number, we know that 
. Solve for 
by dividing both sides by 
:
Using
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What number is 
percent of the difference between 
and 
?
What number is
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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
Then,
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What number is 
of 
less than 
?
What number is
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Work backwards to solve this problem. First, 
less than 
is 
:
Then, 
of 
is 
:
Work backwards to solve this problem. First,
Then,
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What number is 
percent of 
?
What number is
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Multiply 
by 
to find 
percent:
Multiply
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What number, when divided by the product of 
and 
, equals the square root of 
?
What number, when divided by the product of
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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
Next, the square root of
Now, the question is, "What number, when divided by
Multiply both sides by
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What is the average of 
and 
?
What is the average of
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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:
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