How to manipulate numbers - 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.
$4^{2}$=16
Then divide the answer by two.
$\frac{16}{2}$=8
First, square 4.
$4^{2}$=16
Then divide the answer by two.
$\frac{16}{2}$=8
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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.
$4^{3}$=64
Multiply that answer by 2.
2times 64=128
First, cube 4.
$4^{3}$=64
Multiply that answer by 2.
2times 64=128
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What number divided by 5 is $\frac{1}{8}$ of 40?
What number divided by 5 is $\frac{1}{8}$ of 40?
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Set up an equation that fits the information:
$\frac{x}{5}$=\frac{1}{8}$cdot 40
$\frac{x}{5}$=5
5cdot $\frac{x}{5}$=5cdot 5
x=25
Set up an equation that fits the information:
$\frac{x}{5}$=\frac{1}{8}$cdot 40
$\frac{x}{5}$=5
5cdot $\frac{x}{5}$=5cdot 5
x=25
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What number added to 15 gives you $\frac{1}{4}$ of 72 ?
What number added to 15 gives you $\frac{1}{4}$ of 72 ?
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Set up an equation using the information provided.
15+x=\frac{1}{4}$cdot 72
15+x=18
15+x-15=18-15
x=3
Set up an equation using the information provided.
15+x=\frac{1}{4}$cdot 72
15+x=18
15+x-15=18-15
x=3
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What number is 4 times $\frac{1}{8}$ of 80?
What number is 4 times $\frac{1}{8}$ of 80?
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Set up an equation using the information provided, and then solve.
x=4cdot ($\frac{1}{8}$cdot 80)
x=4cdot 10
x=40
Set up an equation using the information provided, and then solve.
x=4cdot ($\frac{1}{8}$cdot 80)
x=4cdot 10
x=40
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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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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 
times 
?
What number is
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First, 
.
Now, multiply by 
again:
First,
Now, multiply by
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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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