Number Manipulation* - 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.
$4^{2}$=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
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.
$4^{3}$=64
Multiply that answer by 2.
2times 64=128
First, cube 4.
$4^{3}$=64
Multiply that answer by 2.
2times 64=128
Compare your answer with the correct one above
What number divided by 5 is $\frac{1}{8}$ of 40?
What number divided by 5 is $\frac{1}{8}$ of 40?
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
Compare your answer with the correct one above
What number added to 15 gives you $\frac{1}{4}$ of 72 ?
What number added to 15 gives you $\frac{1}{4}$ of 72 ?
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
Compare your answer with the correct one above
What number is 4 times $\frac{1}{8}$ of 80?
What number is 4 times $\frac{1}{8}$ of 80?
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
Compare your answer with the correct one above
What number divided by 
is 
percent of 
?
What number divided by
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
Compare your answer with the correct one above
What number is 
of the average of 
, 
, and 
?
What number is
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
Compare your answer with the correct one above
What number is 
less than the product of 
and 
?
What number is
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,
Compare your answer with the correct one above
percent of 
percent of 
is what number?
percent of 
is 
, because 
.
percent of 
is 
, because 
.
Compare your answer with the correct one above
is 
percent of what number?
Using 
to represent the unknown number, we know that 
. Using algebraic manipulation, divide both sides by 
to find 
.
Using
Compare your answer with the correct one above
of what number is 
of 
?
of 
is 
, because 
.
Then, 
of 
is 
, because 
.
Then,
Compare your answer with the correct one above
What number is 
less than the product of 
, 
, and 
?
What number is
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
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
Compare your answer with the correct one above
What number when divided by 
is the sum of 
, 
, and 
?
What number when divided by
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
Compare your answer with the correct one above
What number is 
percent of the difference between 
and 
?
What number is
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,
Compare your answer with the correct one above
What number is 
of 
less than 
?
What number is
Work backwards to solve this problem. First, 
less than 
is 
:
Then, 
of 
is 
:
Work backwards to solve this problem. First,
Then,
Compare your answer with the correct one above
What number is 
times 
?
What number is
First, 
.
Now, multiply by 
again:
First,
Now, multiply by
Compare your answer with the correct one above
What number is 
percent of 
?
What number is
Multiply 
by 
to find 
percent:
Multiply
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
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
Compare your answer with the correct one above
What is the average of 
and 
?
What is the average of
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