All SSAT Middle Level Math Resources
Example Questions
Example Question #23 : Venn Diagrams
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?
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
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
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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