ISEE Lower Level Math : Sets
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Example Questions
Example Question #1 : Sets
What number comes next in this sequence?
2, 3, 5, 7, 11, 13, __
Looking at this sequence, the most obvious thing may be the string of odd numbers. But as you look more closely, you'll notice that the 9 is missing and that there is a 2 in the list. Whenever you see a 2 in a list of odd numbers, your "prime number sensor" (not a real thing) should be on alert. As this is a list of consecutive prime numbers, the next number in the sequence is 17.
Example Question #2 : How To Find The Missing Part Of A List
Define two sets as follows:
How many elements are in 
Example Question #1 : How To Find The Missing Part Of A List
Use the number sequence to answer the question.
What is the next number in the sequence?
The numbers in this sequence follow a pattern; each new number is twice the one that came before it. To find the next number in the sequence, multiply by two.
Example Question #2 : How To Find The Missing Part Of A List
Find the missing number in the sequence:
20
16
12
24
16
The pattern of the sequence is to multiply each number by 
and
Example Question #3 : How To Find The Missing Part Of A List
What is the next number in this sequence?
Notice that the numbers in this list are growing at an increasing rate.
First you add 
Then you add 
Then you add 
By the time you get to the 18, it is time to add 6:
Example Question #4 : How To Find The Missing Part Of A List
What number comes next in the sequence?
The sequence of numbers represents prime numbers, beginning with two. The next prime number in the list would be 
Note that 
Example Question #5 : How To Find The Missing Part Of A List
What is the next number in this series?
Since the pattern is adding 2, you must add 2 to 9 to get 11.
Example Question #5 : How To Find The Missing Part Of A List
What is the missing number in this sequence?
In this sequence, each number is a multiple of 
Example Question #6 : How To Find The Missing Part Of A List
What is the next number in the sequence?
In the sequence, each subsequent number is larger than the previous number by 6.
To calculate the next number, 6 should be added to 24, resulting in 30. Thus, 30 is the correct answer.
Example Question #7 : How To Find The Missing Part Of A List
What is the value of 
None of these
In this sequence, each subsequent number is 5 less than the preceding number. As a result, the 
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