# SSAT Middle Level Math : Sets

## Example Questions

### Example Question #2 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Complete the table below using the equation

Explanation:

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 .

### Example Question #3 : Generate Two Numerical Patterns Using Two Given Rules: Ccss.Math.Content.5.Oa.B.3

Complete the table below using the equation

Explanation:

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 .

### Example Question #21 : Sets

Complete the table below using the equation

Explanation:

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 .

### Example Question #22 : Sets

Complete the table below using the equation

Explanation:

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 .

### Example Question #25 : How To Find The Missing Part Of A List

Based on the following arithmetic sequence, what is the value of ?

Explanation:

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

### Example Question #22 : Sets

What is the value of  in the sequence below?

Explanation:

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

### Example Question #27 : How To Find The Missing Part Of A List

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…

Green

Purple

Blue

Yellow

Red

Blue

Explanation:

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.

### Example Question #171 : Data Analysis

Complete the table below using the equation

Explanation:

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 .

### Example Question #29 : How To Find The Missing Part Of A List

What are the two missing values in the following set?

Explanation:

The pattern for the set is all even numbers up until .  The missing even number between  and  would be  and the missing number between  and  would be .

### Example Question #30 : How To Find The Missing Part Of A List

What number replaces the circle in the sequence below?

Explanation:

Add 23 to the first element to get the second element. The increment decreases by two with each successive entry. The pattern can be seen below:

To get the element in the circle, add 15:

, the correct response.

This is confirmed by adding 13;

, the next number in the sequence.