How to use a Venn Diagram

Practice Questions

ISEE Lower Level Quantitative Reasoning › How to use a Venn Diagram

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The Venn diagram shown above has three categories that represent information about the Wildcats varsity baseball team.

Category represents the number of players on the team that are left-handed.
Category represents the numebr of players on the team that are pitchers.
And, the overlapping portion of the Venn diagram represents the number of players that are left-handed pitchers.

Given that and that there are players in the overlapping region of the diagram.

What fraction of the players are only left-handed?

2

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In the above Venn diagram category represents the number of Kevin's friends that play the flute, while category represents the number of Kevin's friends that play the bass.

If of Kevin's friends only play the flute and of his friends only play the bass, then what fraction of Kevin's friends play both instruments?

3

If Jill likes blue, yellow, tan and green, and Doug likes red, tan, black and green, which Venn diagram is correct?

4

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The Venn diagram above represents the results from a recent survey given to middle school students. Category represents the amount of students that only like pizza. Category represents the amount of students that only chicken nuggets.

What fraction of the students only like chicken nuggets?

5

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The Venn diagram above represents the results from a recent survey given to middle school students. Category represents the amount of students that only like pizza. Category represents the amount of students that only chicken nuggets.

What fraction of the students only like pizza?

6

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Aracely posted a survey question using one of her social network accounts. She grouped the results into three categories. The response results are represented by the Venn diagram shown above.

Group represents the respondents that answered "yes" to the survey question. Group represents the respondents that answered "no" to the survey question. And, the overlapping part of the diagram represents the respondents that answered "maybe" to the survey question.

What percentage of the respondents answered "no" to Aracely's survey question?

7

Custom_vt_venn_d._lower_level_isee.gif_lp

The Venn diagram shown above has three categories that represent information about the Wildcats varsity baseball team.

Category represents the number of players on the team that are left-handed.
Category represents the numebr of players on the team that are pitchers.
And, the overlapping portion of the Venn diagram represents the number of players that are left-handed pitchers.

Given that and that there are players in the overlapping region of the diagram.

How many players are right-handed pitchers?

8

Custom_vt_venn_d._lower_level_isee.gif3

In the above Venn diagram category represents the number of Kevin's friends that play the flute, while category represents the number of Kevin's friends that play the bass.

If of Kevin's friends only play the flute and of his friends only play the bass, then what percentage of Kevin's friends only only play the bass?

9

Custom_vt_venn_d._lower_level_isee.gif_2

Aracely posted a survey question using one of her social network accounts. She grouped the results into three categories. The response results are represented by the Venn diagram shown above.

Group represents the respondents that answered "yes" to the survey question. Group represents the respondents that answered "no" to the survey question. And, the overlapping part of the diagram represents the respondents that answered "maybe" to the survey question.

What fraction represents the amount of respondents that answered "yes" to the survey question?

10

Custom_vt_venn_d._lower_level_isee.gif6

The Venn diagram above represents the results from a recent survey given to middle school students. Category represents the amount of students that only like pizza. Category represents the amount of students that only chicken nuggets.

What percentage of students only like pizza?

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