PRACTICE PROBLEMS - VENN DIAGRAMS 1

QUESTION 1

The Venn diagram shows the number of students in a class who chose either Spanish (LaTeX: S) or French (LaTeX: F).
State the number of students who
(a) chose Spanish only,

(b) chose both French and Spanish,

(c) chose French but not Spanish,

(d) neither of the two languages.


QUESTION 2

The Venn diagram shows the number of students in a class who are in the Choir (LaTeX: C) or Band (LaTeX: B).

Determine the number of students in the class,

(a) who are in the Choir,

(b) who are in both the Choir and the Band,

(c) who are in the Choir or the Band.


QUESTION 3

In a class of 50 students, 18 play football, 24 play tennis and 3 play both. Draw a Venn diagram to illustrate the information.


QUESTION 4

There are 60 students in a class. 28 students study Workshop and 17 students study Technical Drawing. If 7 students are in both classes, draw a Venn diagram to illustrate this information.


QUESTION 5

60 people are in a shoe store. 20 people were about to buy Nike shoes and 18 people were about to buy Adidas shoes. If 4 people were about to buy both brands of the shoes, draw a Venn diagram to illustrate the following information.


QUESTION 6

There are 500 students in a school. 40% of students own an I – pad and 55% of them own a Samsung Tab. 15% of the students own neither device.
(i) Draw a Venn diagram to illustrate this information.
(ii) Determine how many students are studying own both devices.