ISEE Middle Level Math : How to use a Venn Diagram

Study concepts, example questions & explanations for ISEE Middle Level Math

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Example Questions

Example Question #1 : How To Use A Venn Diagram



Let set , the set of all natural numbers.

 = { |  is a multiple of 6 }

 = { |  is a multiple of 9 }

Which of the following numbers would appear in the gray region of the Venn diagram?

Possible Answers:

Correct answer:


The gray area represents the portion of  that is not in  - in other words, all multiples of 9 that are not also multiples of 6.




Therefore, 4,572, 3,438, and 8,544 can be eliminated.

, so 9,349 can be eliminated because it isn't a multiple of 9.

 and , so, as both a nonmultiple of 6 and a multiple of 9, 4.077 is the correct choice.

Example Question #2 : Venn Diagrams

If two events are independent of one another, there will be no intersection of their circles on a Venn Diagram.

Possible Answers:



Correct answer:



If the two events in a problem are independent, they cannot occur at the same time.  That means their circle will not intersect and they will not have a shared middle section.

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