Venn Diagram Worksheet - Mrs. Poland's Math
Venn Diagram Worksheet
Use the Venn Diagram below to answer question #1 – 5.
1. How many total people are represented in the diagram? ____
2. How many people like country? _____
3. How many people like rap? _______
4. How many people liked country and rock, but not rap? _____
5. How many people liked only one type of music?____
Use the following information to fill in the Venn Diagram below.
100 people were asked if they liked Math, Science, or Social Studies. Everyone answered that they liked at least one.
56 like Math
43 like Science
35 like Social Studies
18 like Math and Science
10 like Science and Social Studies
12 like Math and Social Studies
6 like all three subjects
6. How many people like Math only? _____
7. How many people like Science only? _____
8. How many people like Social Studies only? _____
9. Ninety customers of a discount store were asked about their purchases during the past month. 20 said they had purchased books, 45 had purchased film, 38 had purchased jewelry, 15 had purchased both books and film, 8 had purchased both books and jewelry, 6 had purchased both film and jewelry, and 3 had purchased all three articles.
Draw a Venn diagram with this information and answer the following questions.
How many of these people had purchased:
(a) books or film but not jewelry?
(b) books and film but not jewelry?
(c) jewelry but not books or film?
(d) at least one of these three articles?
(e) exactly one of the three articles?
10. A merchant surveyed 400 people to determine the way they learned about an upcoming sale. The survey showed that 180 learned about the sale from the radio, 190 from television, 190 from the newspaper, 80 from radio and television, 90 from radio and newspapers, 50 from television and newspapers, and 30 from all three sources.
Draw a Venn diagram with this information.
How many people learned of the sale:
(a) from newspapers or radio, but not both?
(b) only from newspapers?
(c) from radio or television but not the newspaper?
(d) from radio and television but not the newspaper?
(e) from at least two of the three media?
-----------------------
18
8
11
7
1
24
17
Country
Rap
Rock
Social Studies
Science
Math
................
................
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