Mastering Venn Diagrams
Mathematics
Grade 6
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About This Worksheet
A worksheet covering Venn Diagrams for Grade 6 students, introducing basic concepts and problem-solving skills.
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Mastering Venn Diagrams
Subject: MathematicsGrade: Grade 6
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Date:
Untitled Worksheet
Grade Grade 6
A
Introduction
Read the brief explanation below to understand Venn Diagrams.
Venn Diagrams are diagrams that show all possible logical relations between a finite collection of different sets. They are useful for comparing groups and solving probability and set problems. Remember, overlapping areas indicate common elements.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a class of 30 students, 18 like football, 12 like basketball, and 8 like both. Draw a Venn Diagram representing this information.
[3 marks]2.
If 20 students like pizza, 15 like pasta, and 7 like both, how many students like neither?
[2 marks]3.
A survey shows that 40 students like reading, 25 like writing, and 10 like both. How many students like only reading?
[2 marks]4.
Draw a Venn Diagram for the following data: 50 students like math, 30 like science, and 20 like both. Indicate the number of students who like only math, only science, and neither subject.
[3 marks]5.
True or False: The area of the intersection in a Venn Diagram always represents elements common to both sets.
[1 mark]6.
In a survey, 60 students liked tea, 40 liked coffee, and 25 liked both. How many liked only tea?
[2 marks]7.
Using a Venn Diagram, represent data where 70 people like cats, 50 like dogs, and 20 like both. How many like neither?
[3 marks]8.
A group of 40 students are surveyed about their favorite sports: 25 like soccer, 15 like basketball, and 5 like both. How many students like only soccer?
[2 marks]9.
Challenge: A school has 120 students. 80 students play chess, 50 play football, and 30 play both. How many students do not play either sport?
[4 marks]10.
Real-world Application: In a community, 200 people like reading newspapers, 150 like watching TV, and 100 like both. How many people like neither?
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet