# ISEE Lower Level Math : Sets

## Example Questions

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### Example Question #1 : Sets

What number comes next in this sequence?

2, 3, 5, 7, 11, 13, __     Explanation:

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 ?      Explanation: is the intersection of sets and - the set of all elements that appear in both sets. As can be seen, those elements are - making 3 the correct choice.

### Example Question #3 : 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?     Explanation:

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 #1 : How To Find The Missing Part Of A List

Find the missing number in the sequence: 12

16

24

20

16

Explanation:

The pattern of the sequence is to multiply each number by to get to the next number. and ### Example Question #5 : How To Find The Missing Part Of A List

What is the next number in this sequence?       Explanation:

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 #6 : How To Find The Missing Part Of A List

What number comes next in the sequence?       Explanation:

The sequence of numbers represents prime numbers, beginning with two. The next prime number in the list would be .

Note that is not a prime number, since it is a multiple of and .

### Example Question #7 : How To Find The Missing Part Of A List What is the next number in this series?      Explanation:

Since the pattern is adding 2, you must add 2 to 9 to get 11.

### Example Question #8 : How To Find The Missing Part Of A List

What is the missing number in this sequence?       Explanation:

In this sequence, each number is a multiple of , and each number increases incrementally by . The multiple of that is between and is ; therefore, is the correct answer.

### Example Question #9 : How To Find The Missing Part Of A List

What is the next number in the sequence?       Explanation: 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 #71 : Data Analysis

What is the value of in this sequence?    None of these  Explanation:

In this sequence, each subsequent number is 5 less than the preceding number. As a result, the will be equal to 9, because 9 is 5 less than 14, which is the preceding number.   ← Previous 1 3 4 5 6 7

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