Name: 
 

Venn Diagrams


 1 
Monique has three sons who play football, two sons who play baseball, and one son who plays both sports.  If all of her sons play baseball or football, how many sons does she have?
a)
5
c)
3
b)
6
d)
4
 

 2 
The accompanying diagram shows the results of a survey asking which sports the members of the Key Club watch on television.

mc002-1.jpg

Which statement or statements are true?
I      The most watched sport is tennis.
II      The least watched sport is baseball.
III More Key Club members watch tennis than football.
a)
I, only
c)
I and II, only
b)
II, only
d)
II and III, only
 

 3 
In a class of 50 students, 18 take music, 26 take art, and 2 take both art and music.  How many students in the class are not enrolled in either music or art?
a)
6
c)
16
b)
8
d)
24
 

 4 
In a class of 450 students, 300 are taking a mathematics course and 260 are taking a science course.  If 140 of these students are taking both courses, how many students are not taking either of these courses?
a)
30
c)
110
b)
40
d)
140
 

 5 
Seventy-eight students participate in one or more of three sports:  baseball, tennis, and golf.  Four students participate in all three sports; five play both baseball and golf, only; two play both tennis and golf, only; and three play both baseball and tennis, only.  If seven students play only tennis and one plays only golf, what is the total number of students who play only baseball?
a)
12
c)
56
b)
44
d)
60
 

 6 
In Ms. Wright’s English class, 16 students are in band, 7 students play sports, 3 students participate in both activities, and 9 students are not in band and do not play sports.  How many students are in Ms. Wright’s English class?
a)
10
c)
29
b)
26
d)
35
 

 7 
A school newspaper took a survey of 100 students.  The results of the survey showed that 43 students are fans of the Buffalo Bills, 27 students are fans of the New York Jets, and 48 students do not like either team.  How many of the students surveyed are fans of both the Buffalo Bills and the New York Jets?
a)
16
c)
52
b)
18
d)
70
 

 8 
At an all-county music competition, 150 students participated.  If 90 students sang in the chorus and 90 played in the band, how many students both sang in the chorus and played in the band?
a)
0
c)
60
b)
30
d)
240
 



 
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