Venn Diagrams - Math Worksheet With Answers

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Name
Date
1–5
Venn Diagrams
Use the Venn diagrams to write equations and solve the problems.
The Venn diagram at the right shows how
many of Mr. Ruiz’s students play keyboard.
Keyboard
Keyboard
Guitar
Guitar
?
6
?
?
Mr. Ruiz has 3 times as many students who play only
1.
guitar as those who play only keyboard. How many of his
6
?
students play only guitar?
1
Of Mr. Ruiz’s students,
as many play both guitar and keyboard as play only guitar.
6
2.
How many of Mr. Ruiz’s students play both guitar and keyboard?
The Venn diagram at the right shows how many
students are on the soccer team.
Baseball
Soccer
Baseball
Soccer
?
4
24
There are twice as many students who play only
3.
?
4
24
soccer as those who play only football. How many
students play only football?
?
?
Football
Football
There are 4 times as many students who play only
4.
baseball as those who play both soccer and
?
?
baseball. How many students play only baseball?
1
If
as many students who play only football play both football and baseball, how many
5.
2
play both sports?

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