SSAT Middle Level Math : Data Analysis

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

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Example Questions

Example Question #23 : Venn Diagrams

Vt custom venn series ssat middle

Kayla used a popular social media website to survey her friends' hobbies. All of her friends either play sports or enjoy playing video games, and some of her friends do both.

What percentage of Kayla's friends play sports and video games?

Possible Answers:

Correct answer:

Explanation:

In order to solve this problem, identify that the common portion of this Venn diagram represents Kayla's friends who play sports and video games. Since  of her friends play sports and video games, convert this fraction to a percent.

The solution is:




Note: the most efficient way to convert this fraction to a percent is to find an equivalent fraction to  with a denominator of 

Example Question #22 : Venn Diagrams

Vt custom venn series ssat middle

The above Venn diagram represents the total number of respondents from a survey administered in . Respondents were categorized into only group , only group  or both of the groups. 

What percentage of respondents were categorized into only group 

Possible Answers:

Correct answer:

Explanation:

To find the missing quantity for category , first calculate the sum from the common portion of the Venn diagram and category . Then, subtract that sum from  , because the total percentage of respondents must equal 

The algebraic solution is:



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