Mastering Venn Diagrams
Mathematics
Year 9
1 questions
~2 mins
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About This Worksheet
A worksheet covering Venn Diagrams for Year 9 students, focusing on probability and statistics concepts.
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Mastering Venn Diagrams
Subject: MathematicsGrade: Year 9
Name:
Date:
Untitled Worksheet
Grade Year 9
A
Introduction
Read the brief explanation below before attempting the questions.
1.
Venn Diagrams are visual tools used to represent relationships between different sets. The probability of an event can be found using the areas of the sets and their intersections. Remember that for two sets A and B, P(A or B) = P(A) + P(B) - P(A and B).
[2 marks]B
Procedural / Fluency Questions
Answer the following questions to check your understanding of basic Venn Diagram concepts.
1.
In a class of 30 students, 18 like basketball, 12 like football, and 8 like both. Draw a Venn Diagram to represent this information.
[3 marks]2.
Using the diagram, find how many students like only basketball.
[2 marks]3.
Calculate the number of students who like only football.
[2 marks]4.
What is the total number of students who like either basketball or football?
[2 marks]5.
If 5 students are selected at random, what is the probability that a student likes both sports?
[3 marks]C
Reasoning / Problem-Solving Questions
Apply your knowledge of Venn Diagrams to these problems.
1.
In a survey, 50 students were asked about their favorite fruit: apples, bananas, or both. If 20 like apples, 25 like bananas, and 10 like both, what proportion of students like apples only?
[3 marks]2.
A dataset shows that 40% of people like tea, 35% like coffee, and 10% like both. Draw a Venn Diagram and find the percentage of people who like only tea.
[3 marks]3.
A company surveyed 200 employees about their hobbies. 120 enjoy reading, 80 enjoy gardening, and 30 enjoy both. How many employees enjoy only gardening?
[3 marks]4.
In a school, 70 students participate in sports, 45 participate in drama, and 20 participate in both. How many students participate in only sports?
[3 marks]5.
Using the previous data, what is the probability that a randomly selected student participates in either sports or drama?
[3 marks]D
Challenge / Real-World Application
Solve these more complex problems involving Venn Diagrams.
1.
A researcher studies two traits in a population: Trait A and Trait B. Out of 500 individuals, 200 have Trait A, 150 have Trait B, and 80 have both traits. Calculate the percentage of individuals who have only Trait A.
[4 marks]2.
In a survey of 1,000 people, 600 like cats, 400 like dogs, and 250 like both. What is the probability that a randomly selected person likes only cats?
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet