SSAT Elementary Level Math : Sets

Study concepts, example questions & explanations for SSAT Elementary Level Math

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Example Questions

Example Question #1 : Sets

Which of the following belongs to the set of whole numbers?

Possible Answers:

All of these numbers are whole numbers.

Correct answer:

All of these numbers are whole numbers.

Explanation:

The set of whole numbers comprises the following:

All of the given choices are members of this set.

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

What is the next number in this sequence?

 ___________ ...

Possible Answers:

Correct answer:

Explanation:

Each entry in the sequence is obtained by adding to the previous entry a number that increases by 1 each time.

To get the next entry, add 7.

 

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

Complete the set.

Possible Answers:

Correct answer:

Explanation:

The set is increasing. To figure out by how much, simply subtract any two numbers in the set, but remember to put the greater number first!

Example:

Each number in the set increases by 1.1. To find the missing part of this set, add 1.1 to the number just before the blank.

The complete set is: 1.2, 2.3, 3.4, 4.5, 5.6.

Example Question #3 : How To Find The Missing Part Of A List

Find the missing parts of the sequence.

Possible Answers:

Correct answer:

Explanation:

First, you must notice that the set is increasing. When you look at how all the numbers are related, you will notice that this is a “growing” set, meaning the difference between each number in the set is increasing. To figure out by how much, simply subtract any two numbers in the set.

When you subtract the first two numbers in the set, you will get: .

If you subtract the next two numbers, you will get: .

Then the next two: .

Now you can see a pattern. Each number increases by 1, 2, 3, and so on.

To find the missing number in the set, we must add 6 to 21.

Now we can see the complete set.

Example Question #41 : Data Analysis And Probability

Find the missing parts of this set:

27, 36, 45, 54, ___, ___, 81

Possible Answers:

Correct answer:

Explanation:

First, you must notice that the set is counting up/forwards. When you look at how all the numbers are related, you will notice that these numbers increase by 9, or are multiples of 9. To solve you can add 9 to the last known number and then 9 to the next:

 

Or you can count by 9 to fill in the missing numbers.  The complete set is: 27, 36, 45, 54, 63, 72, 81.

Example Question #5 : How To Find The Missing Part Of A List

What are the next two numbers in the sequence below?

Possible Answers:

Correct answer:

Explanation:

In the number sequence , the first number is multiplied by  to get the second number. The second number is divided by  to get the third number. Numbers are then alternately multiplied by  and divided by  as the sequence continues.

Since  is divided by  to get  at the end of the given numbers, the next step is to multiply by . This gives the number  as the next in the sequence. The pattern is to divide by  after multiplying by , so the number after  is given by  divided by , which is .

Example Question #2 : How To Find The Missing Part Of A List

Find the missing numbers in the set.

Possible Answers:

Correct answer:

Explanation:

The pattern in the set is to add three every time.  The last number of the set given is 19 so add 3 and get 22.  Add 3 again and get 25. Add 3 again and get 28. Thus the answer is 

Example Question #3 : How To Find The Missing Part Of A List

What is the missing number in the sequence?

Possible Answers:

Correct answer:

Explanation:

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is adding by seven! So, to find the first number, we need to subtract seven from the number after the blank.

Example Question #2 : How To Find The Missing Part Of A List

What is the missing number in the sequence?

Possible Answers:

Correct answer:

Explanation:

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is subtracting by ten! So, to find the first number, we need to subtract ten from the number before the blank.

Example Question #2 : How To Find The Missing Part Of A List

What is the missing number in the sequence?

Possible Answers:

Correct answer:

Explanation:

To find the next number in the sequence, we need to find the pattern. In this problem, the pattern is adding by threes.

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