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Mastering Venn Diagrams

Mathematics
Grade 8
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About This Worksheet

A worksheet covering Venn Diagrams for Grade 8 students, focusing on probability and statistics concepts.

Topics covered:

#Mathematics
#Venn Diagrams

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Mastering Venn Diagrams

Subject: MathematicsGrade: Grade 8
Name:
Date:

Untitled Worksheet

Grade Grade 8
A

Introduction

Review the key concepts of Venn diagrams and their use in representing sets and probabilities.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
In a class of 40 students, 25 like basketball, 18 like football, and 10 like both. Draw a Venn diagram to represent this information.
[3 marks]
2.
What is the probability that a student selected at random likes either basketball or football?
[2 marks]
3.
If a student likes basketball, what is the probability that they also like football?
[2 marks]
4.
Draw a Venn diagram to illustrate the following data: Out of 50 people, 20 read magazines, 25 watched TV, and 10 did both.
[3 marks]
5.
Calculate the probability that a randomly selected person reads magazines but does not watch TV.
[2 marks]
6.
In a survey, 60 students were asked if they prefer tea or coffee. 35 prefer tea, 20 prefer coffee, and 10 like both. Draw and interpret the Venn diagram for this data.
[3 marks]
7.
What is the probability that a student prefers only tea?
[2 marks]
8.
If a student does not like coffee, what is the probability that they prefer tea?
[2 marks]
9.
A group of 100 students were surveyed about their favorite sports. 55 liked soccer, 45 liked tennis, and 25 liked both. Draw a Venn diagram to represent this data and find the probability that a student likes only tennis.
[3 marks]
10.
Calculate the probability that a student selected at random likes either soccer or tennis but not both.
[2 marks]
11.
A company surveys 200 employees about their commuting methods. 80 commute by car, 60 by bus, and 30 use both. Draw a Venn diagram and find the probability that an employee commutes by neither car nor bus.
[3 marks]
12.
Based on the data above, what is the probability that an employee commutes by only bus?
[2 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet
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