Venn Diagram Worksheets | Dynamically Created Venn Diagram Worksheets - Free Printable

Problem Analysis:

The Venn diagram provided shows the preferences of students for Tennis and Swimming. The regions are labeled as follows:
- Tennis only: 5 students
- Both Tennis and Swimming: 18 students
- Swimming only: 17 students
- Neither Tennis nor Swimming: 6 students

We need to answer 10 questions based on this Venn diagram. Let's solve each question step by step.

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Question 1: How many students like Tennis or Swimming?

This question asks for the total number of students who like either Tennis, Swimming, or both. This is the union of the two sets (Tennis ∪ Swimming).

Calculation:
- Students who like Tennis only: 5
- Students who like Swimming only: 17
- Students who like both Tennis and Swimming: 18

Total = 5 + 17 + 18 = 40

Answer: 40

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Question 2: How many students do not like Tennis?

This question asks for the number of students who do not like Tennis. These students are either in the "Swimming only" region or the "Neither" region.

Calculation:
- Students who like Swimming only: 17
- Students who like neither Tennis nor Swimming: 6

Total = 17 + 6 = 23

Answer: 23

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Question 3: How many students do not like either Tennis or Swimming?

This question asks for the number of students who do not like either activity. This is the "Neither" region.

Calculation:
- Students who like neither Tennis nor Swimming: 6

Answer: 6

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Question 4: How many students like Swimming?

This question asks for the total number of students who like Swimming. This includes those who like Swimming only and those who like both Tennis and Swimming.

Calculation:
- Students who like Swimming only: 17
- Students who like both Tennis and Swimming: 18

Total = 17 + 18 = 35

Answer: 35

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Question 5: How many students do not like Swimming?

This question asks for the number of students who do not like Swimming. These students are either in the "Tennis only" region or the "Neither" region.

Calculation:
- Students who like Tennis only: 5
- Students who like neither Tennis nor Swimming: 6

Total = 5 + 6 = 11

Answer: 11

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Question 6: How many students like Tennis?

This question asks for the total number of students who like Tennis. This includes those who like Tennis only and those who like both Tennis and Swimming.

Calculation:
- Students who like Tennis only: 5
- Students who like both Tennis and Swimming: 18

Total = 5 + 18 = 23

Answer: 23

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Question 7: How many students like both Tennis and Swimming?

This question directly asks for the number of students who like both activities. This is the intersection of the two sets.

Calculation:
- Students who like both Tennis and Swimming: 18

Answer: 18

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Question 8: How many students only like Tennis?

This question asks for the number of students who like Tennis but not Swimming. This is the "Tennis only" region.

Calculation:
- Students who like Tennis only: 5

Answer: 5

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Question 9: How many students only like Swimming?

This question asks for the number of students who like Swimming but not Tennis. This is the "Swimming only" region.

Calculation:
- Students who like Swimming only: 17

Answer: 17

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Question 10: How many students do not like both Tennis and Swimming?

This question asks for the number of students who do not like either Tennis or Swimming. This is the "Neither" region.

Calculation:
- Students who like neither Tennis nor Swimming: 6

Answer: 6

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Final Answers:

1. 40
2. 23
3. 6
4. 35
5. 11
6. 23
7. 18
8. 5
9. 17
10. 6

Boxed Final Answer:
\[
\boxed{40, 23, 6, 35, 11, 23, 18, 5, 17, 6}
\]