Sets - ISEE Lower Level Quantitative Reasoning
Card 0 of 525
What is the missing value of w in this sequence?

What is the missing value of w in this sequence?
In this sequence, every subsequent number is 7 less than the preceding number. Given that the number that precedes w is 71, the value of w is
. Therefore, 64 is the correct answer.
In this sequence, every subsequent number is 7 less than the preceding number. Given that the number that precedes w is 71, the value of w is . Therefore, 64 is the correct answer.
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What is the value of n in the sequence below?

What is the value of n in the sequence below?
The numbers increase by 5. Given that the number before n is 20, the value of n is
.
The numbers increase by 5. Given that the number before n is 20, the value of n is .
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What is the next number in the series?
What is the next number in the series?
First, determine what the pattern is in the series. The pattern here is to multiply the previous number by 2 and then add 1. Therefore, multiply 47 by 2 (which is 94), and then add 1. The result is 95.
First, determine what the pattern is in the series. The pattern here is to multiply the previous number by 2 and then add 1. Therefore, multiply 47 by 2 (which is 94), and then add 1. The result is 95.
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Find the missing number in the sequence:

Find the missing number in the sequence:
In this sequence, the difference between each number is double the difference between the number that came prior to it in the sequence. For example,
and
. Thus, the missing number must be greater than
by a difference of
and therefore 
In this sequence, the difference between each number is double the difference between the number that came prior to it in the sequence. For example, and
. Thus, the missing number must be greater than
by a difference of
and therefore
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Find the missing number:

Find the missing number:
In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of
. Thus, the correct answer is
, because 
In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of . Thus, the correct answer is
, because
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Find the missing number in the list below:

Find the missing number in the list below:
In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of 9. Thus, the correct answer is
because
.
In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of 9. Thus, the correct answer is because
.
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What is the missing number in the following sequence:

What is the missing number in the following sequence:
In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of
. Therefore, the missing number is
, because 
In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of . Therefore, the missing number is
, because
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What is the missing number in the following sequence:

What is the missing number in the following sequence:
In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of
. In other words, each number in this list is a multiple of
.
,
, thus the next number in this sequence is the product of
which equals
.
In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of . In other words, each number in this list is a multiple of
.
,
, thus the next number in this sequence is the product of
which equals
.
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What is the missing number in the following list:

What is the missing number in the following list:
In this sequence of numbers, there is an important pattern to recognize. In this sequence each number is a prime number, however the sequence skips every other prime number. Thus, the sequence begins with the prime number
and then skips the prime number
(which is the only even prime number) and goes to
. From
the next prime number is
, however since the pattern in this sequence skips every other prime number--the missing number is
.
In this sequence of numbers, there is an important pattern to recognize. In this sequence each number is a prime number, however the sequence skips every other prime number. Thus, the sequence begins with the prime number and then skips the prime number
(which is the only even prime number) and goes to
. From
the next prime number is
, however since the pattern in this sequence skips every other prime number--the missing number is
.
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Find the missing number in this set:

Find the missing number in this set:
In this sequence of numbers, there is an important pattern to recognize. Each number in this sequence is a composite number--however, the sequence skips every other composite number. Thus, the next composite number after
is
--which is skipped because of the pattern, making the correct answer
.
In this sequence of numbers, there is an important pattern to recognize. Each number in this sequence is a composite number--however, the sequence skips every other composite number. Thus, the next composite number after is
--which is skipped because of the pattern, making the correct answer
.
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Find the next number in the list:

Find the next number in the list:
In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of
. In other words, each number in this list is a multiple of
. Thus, 
In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by a margin of . In other words, each number in this list is a multiple of
. Thus,
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What is the range of the following set of numbers:

What is the range of the following set of numbers:
To calculate the range of the set, find the difference between the greatest and lowest numbers. Thus, the solution is: 
To calculate the range of the set, find the difference between the greatest and lowest numbers. Thus, the solution is:
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Find the missing number in the sequence:

Find the missing number in the sequence:
In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by double the difference between the two previous numbers.
is greater than
by a difference of
, therefore the number that is missing must be greater than
by a margin of
. Thus, the correct answer is
. Notice that
is also less than
by a difference of 
In this sequence of numbers, there is an important pattern to recognize. Each number is greater than the number prior to it by double the difference between the two previous numbers. is greater than
by a difference of
, therefore the number that is missing must be greater than
by a margin of
. Thus, the correct answer is
. Notice that
is also less than
by a difference of
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What is the missing value of
in this sequence?

What is the missing value of in this sequence?
In this sequence, every subsequent number is
less than the preceding number. Given that the number that precedes
is
, the value of w is
. Therefore,
is the correct answer.
In this sequence, every subsequent number is less than the preceding number. Given that the number that precedes
is
, the value of w is
. Therefore,
is the correct answer.
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Which of the following could not be a term in the sequence 5, 10, 15, 20...?
Which of the following could not be a term in the sequence 5, 10, 15, 20...?
All answers in the sequence must end in a 5 or a 0.
All answers in the sequence must end in a 5 or a 0.
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The players on Rebecca's basketball team are the following ages:

What is the median age?
The players on Rebecca's basketball team are the following ages:
What is the median age?
In order to find the median, the numbers in a set must be ordered from smallest to largest, and the middle number identified. Doing this results in:

The middle number is 7, which is therefore the median.
In order to find the median, the numbers in a set must be ordered from smallest to largest, and the middle number identified. Doing this results in:
The middle number is 7, which is therefore the median.
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Greg is a shoe salesman. The past 5 days, he has sold the following numbers of shoes:

What is the median?
Greg is a shoe salesman. The past 5 days, he has sold the following numbers of shoes:
What is the median?
The median is the middle number in a set when ordered from smallest to largest.
When the set,
is ordered from smallest to largest, it is
.
Here, the middle number is 7. Therefore, the correct answer is 7.
The median is the middle number in a set when ordered from smallest to largest.
When the set, is ordered from smallest to largest, it is
.
Here, the middle number is 7. Therefore, the correct answer is 7.
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What is the mode of the set below?

What is the mode of the set below?
The mode of a set is the number that appears most often. Given that the number 5 appears 3 times (more than any other number) it is therefore the mode and the correct answer.
The mode of a set is the number that appears most often. Given that the number 5 appears 3 times (more than any other number) it is therefore the mode and the correct answer.
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If Gene has 4 dogs that are 8 years old, 5 years old, 7 years old, and 2 years old, what is the average age?
If Gene has 4 dogs that are 8 years old, 5 years old, 7 years old, and 2 years old, what is the average age?
The average of a set is the sum of the numbers in the set divided by the number of items in the set.
Therefore, the average is equal to:

The average of a set is the sum of the numbers in the set divided by the number of items in the set.
Therefore, the average is equal to:
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If Angela runs 5 miles on Tuesday, 6 miles on Wednesday, and 7 miles on Thursday, how many miles will she run on Saturday if she continues with this pattern?
If Angela runs 5 miles on Tuesday, 6 miles on Wednesday, and 7 miles on Thursday, how many miles will she run on Saturday if she continues with this pattern?
Angela's pattern is to run one more mile each subsequent day than the number of miles she ran the previous day. Therefore, since she ran 7 miles on Thursday, she will run 8 miles on Friday and 9 miles on Saturday. Therefore, 9 is the correct answer.
Angela's pattern is to run one more mile each subsequent day than the number of miles she ran the previous day. Therefore, since she ran 7 miles on Thursday, she will run 8 miles on Friday and 9 miles on Saturday. Therefore, 9 is the correct answer.
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