How to find the missing part of a list - SSAT Middle Level Quantitative
Card 1 of 132
What are the next two numbers of this sequence?

What are the next two numbers of this sequence?
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The sequence is formed by alternately adding
and adding
to each term to get the next term.

and
are the next two numbers.
The sequence is formed by alternately adding and adding
to each term to get the next term.
and
are the next two numbers.
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Define two sets as follows:


Which of the following numbers is an element of
?
Define two sets as follows:
Which of the following numbers is an element of ?
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is the intersection of
and
- the set of all elements appearing in both sets. Thus, an element can be eliminated from
by demonstrating either that it is not an element of
or that it is not an element of
.
is the set of positive integers ending in "5". 513 and 657 are not in
, so they are not in
.
is the set of muliples of 9. We test the three remaining numbers easily by seeing if 9 divides their digit sum:



425 and 565 are not multiples of 9; neither is in
, so neither is in
.
and
, so
. This is the correct choice.
is the intersection of
and
- the set of all elements appearing in both sets. Thus, an element can be eliminated from
by demonstrating either that it is not an element of
or that it is not an element of
.
is the set of positive integers ending in "5". 513 and 657 are not in
, so they are not in
.
is the set of muliples of 9. We test the three remaining numbers easily by seeing if 9 divides their digit sum:
425 and 565 are not multiples of 9; neither is in , so neither is in
.
and
, so
. This is the correct choice.
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Based on the following arithmetic sequence, what is the value of
?

Based on the following arithmetic sequence, what is the value of ?
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The question asks that you first determine the pattern, then use said pattern to find A and B, which can then be substituted into the equation
. The pattern is to add 5 to the previous number to achieve the next number, which results in
and 
Putting A and B into the equation gives:

The other answers are wrong for the following reasons:
286 is
, not 
48 is 
63 is 
624 is a result of having
, a pattern addition mistake
The question asks that you first determine the pattern, then use said pattern to find A and B, which can then be substituted into the equation . The pattern is to add 5 to the previous number to achieve the next number, which results in
and
Putting A and B into the equation gives:
The other answers are wrong for the following reasons:
286 is , not
48 is
63 is
624 is a result of having , a pattern addition mistake
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What is the value of
in the sequence below?

What is the value of in the sequence below?
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To answer this question, the pattern must first be found. There is no common interval between the numbers, however it can be seen that the next number is the sum of the number plus the number before. A good way to address a tricky pattern is to write the difference of the two numbers above the number, as seen below where the bold numbers are the orginal numbers and the nonbolded numbers are the differences.
0 1 1 2 3
1 1 2 3 5 8
Using this pattern the value of A will be 
To answer this question, the pattern must first be found. There is no common interval between the numbers, however it can be seen that the next number is the sum of the number plus the number before. A good way to address a tricky pattern is to write the difference of the two numbers above the number, as seen below where the bold numbers are the orginal numbers and the nonbolded numbers are the differences.
0 1 1 2 3
1 1 2 3 5 8
Using this pattern the value of A will be
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A tile layer plans to lay tile in a bathroom in the pattern shown below. What will the
tile be?
Red, Blue, Purple, Green, Yellow, Red, Blue, Purple, Green…
A tile layer plans to lay tile in a bathroom in the pattern shown below. What will the tile be?
Red, Blue, Purple, Green, Yellow, Red, Blue, Purple, Green…
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The first stop to determining what the
tile will be is to determine how many repeats of the pattern will occur before hand. There are
colors in the pattern, so divide
by
. This results in
with a remainder of
. This means that there will be
repeats of the pattern and at the
tile, it will be at the second spot in the pattern, which is Blue. So, the
tile is Blue.
The first stop to determining what the tile will be is to determine how many repeats of the pattern will occur before hand. There are
colors in the pattern, so divide
by
. This results in
with a remainder of
. This means that there will be
repeats of the pattern and at the
tile, it will be at the second spot in the pattern, which is Blue. So, the
tile is Blue.
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What is the value of y in the pattern below?

What is the value of y in the pattern below?
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What that the fractions in this pattern have in common is that they are all the equivalent of
.
The value of y should be a number that is the equivalent of
when divided by 12.
Given that
of 12 is 4,
of 12 would be equal to 8, the correct answer.
What that the fractions in this pattern have in common is that they are all the equivalent of .
The value of y should be a number that is the equivalent of when divided by 12.
Given that of 12 is 4,
of 12 would be equal to 8, the correct answer.
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What is the value of
in the sequence below?

What is the value of in the sequence below?
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In this sequence, every subsequent number is equal to one third of the preceding number:




Given that
, that is the correct answer.
In this sequence, every subsequent number is equal to one third of the preceding number:
Given that , that is the correct answer.
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Complete the set by determining the value of
.

Complete the set by determining the value of .
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The set is composed of consecutive squares.


We can see that
will b equal to 

Therefore, 36 is the correct answer.
The set is composed of consecutive squares.
We can see that will b equal to
Therefore, 36 is the correct answer.
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Find the next number that should appear in the set below:

Find the next number that should appear in the set below:
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In this set, each subsequent fraction is half the size of the preceding fraction; (the denominator is doubled for each successive fraction, but the numerator stays the same). Given that the last fraction in the set is
, it follows that the subsequent fraction will be
.
In this set, each subsequent fraction is half the size of the preceding fraction; (the denominator is doubled for each successive fraction, but the numerator stays the same). Given that the last fraction in the set is , it follows that the subsequent fraction will be
.
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Complete the table below using the equation 

Complete the table below using the equation

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In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding
value for
. We can plug
into the
in our equation to solve for
.



In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for
. We can plug
into the
in our equation to solve for
.
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Complete the table below using the equation 

Complete the table below using the equation

Tap to reveal answer
In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding
value for
. We can plug
into the
in our equation to solve for
.



In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for
. We can plug
into the
in our equation to solve for
.
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Complete the table below using the equation 

Complete the table below using the equation

Tap to reveal answer
In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding
value for
. We can plug
into the
in our equation to solve for
.



In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for
. We can plug
into the
in our equation to solve for
.
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Complete the table below using the equation 

Complete the table below using the equation

Tap to reveal answer
In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding
value for
. We can plug
into the
in our equation to solve for
.



In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for
. We can plug
into the
in our equation to solve for
.
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Complete the table below using the equation 

Complete the table below using the equation

Tap to reveal answer
In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding
value for
. We can plug
into the
in our equation to solve for
.



In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for
. We can plug
into the
in our equation to solve for
.
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Complete the table below using the equation 

Complete the table below using the equation

Tap to reveal answer
In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding
value for
. We can plug
into the
in our equation to solve for
.



In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for
. We can plug
into the
in our equation to solve for
.
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Complete the table below using the equation 

Complete the table below using the equation

Tap to reveal answer
In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding 
value for . We can plug
into the
in our equation to solve for
.



In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for . We can plug
into the
in our equation to solve for
.
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Complete the table below using the equation 

Complete the table below using the equation

Tap to reveal answer
In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding
value for
. We can plug
into the
in our equation to solve for
.



In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for
. We can plug
into the
in our equation to solve for
.
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Complete the table below using the equation 

Complete the table below using the equation

Tap to reveal answer
In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding
value for
. We can plug
into the
in our equation to solve for
.



In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for
. We can plug
into the
in our equation to solve for
.
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Complete the table below using the equation 

Complete the table below using the equation

Tap to reveal answer
In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding
value for
. We can plug
into the
in our equation to solve for
.



In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for
. We can plug
into the
in our equation to solve for
.
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Complete the table below using the equation 

Complete the table below using the equation

Tap to reveal answer
In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding
value for
. We can plug
into the
in our equation to solve for
.



In order to solve this question, we need to use both the equation and the table. We are looking for the corresponding value for
. We can plug
into the
in our equation to solve for
.
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