Mastering Venn Diagrams
Mathematics
Grade 7
1 questions
~2 mins
0 views0 downloads
About This Worksheet
A worksheet covering Venn Diagrams for Grade 7 students, focusing on basic understanding and application in probability and statistics.
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Mastering Venn Diagrams
Subject: MathematicsGrade: Grade 7
Name:
Date:
Untitled Worksheet
Grade Grade 7
A
Introduction
Read the brief explanation below before attempting the questions.
1.
Venn Diagrams are diagrams that show all possible logical relations between a finite collection of different sets. They are useful for visualizing set relationships and solving problems involving probability and statistics.
[2 marks]B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
If set A has 10 elements and set B has 15 elements, with 5 elements in both sets, what is the number of elements in A only?
[2 marks]2.
In a Venn Diagram with two sets, A and B, if 8 elements are in A only, 6 in B only, and 4 in both, how many elements are in the universal set?
[2 marks]3.
True or False: The union of sets A and B includes all elements that are in A, in B, or in both.
[1 mark]ATrue
BFalse
4.
Calculate the probability that a randomly chosen element from the universal set is in set A only, given 12 elements in A only, 8 in B only, and 4 in both, with a total of 30 elements.
[3 marks]5.
If 60% of students like chocolate and 40% like vanilla, and 10% like both, what percentage of students like either chocolate or vanilla?
[3 marks]6.
A survey shows that 70 students like football, 50 like basketball, and 20 like both. How many students like at least one of the two sports?
[2 marks]7.
What is the intersection of sets A and B if A has 25 elements, B has 30 elements, and the union has 40 elements?
[2 marks]8.
In a class, 18 students like math, 12 like science, and 8 like both. If there are 30 students in total, how many students like neither subject?
[2 marks]9.
Challenge: A survey finds that 40% of people like tea, 60% like coffee, and 20% like both. What percentage of people like neither tea nor coffee?
[3 marks]10.
Real-world scenario: In a town, 250 people own cars, 180 own motorcycles, and 80 own both. How many people own at least one of these vehicles?
[2 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet