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Year 9

Using a Venn diagram to display outcomes for two events

I can systematically find all the possible outcomes for two events by using a Venn diagram.

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New
New
Year 9

Using a Venn diagram to display outcomes for two events

I can systematically find all the possible outcomes for two events by using a Venn diagram.

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Lesson details

Key learning points

  1. Possible outcomes for two events can be shown in a Venn diagram.
  2. The Venn diagram can be used to generate any of the other models.
  3. Any of the other outcome diagrams can be used to generate a Venn diagram.

Keywords

  • Venn diagram - Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.

Common misconception

Pupils may not draw the rectangle in their Venn diagrams.

Refer back to the rectangle hosting all possible outcomes; the sample space and therefore a vital part of a Venn diagram.


To help you plan your year 9 maths lesson on: Using a Venn diagram to display outcomes for two events, download all teaching resources for free and adapt to suit your pupils' needs...

Although Venn diagrams are typically drawn using circles, rectangles can be used for ease on squared paper/workbooks.
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Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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6 Questions

Q1.
Select the prime number.
6
Correct answer: 7
8
9
10
Q2.
Which of these statements are true about square numbers?
Correct answer: Square numbers are never prime.
Square numbers can be non-integer.
Correct answer: Square numbers have an odd number of distinct factors.
Every square's area is a square number.
Q3.
Here are all the factors of a number $$x$$. Match each factor with the factor that completes the factor pair.
Correct Answer:1,24
tick

24

Correct Answer:2,12
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12

Correct Answer:3,8
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8

Correct Answer:4,6
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6

Q4.
Which of these numbers is 48 a multiple of?
Correct answer: 3
5
7
Correct answer: 8
11
Q5.
The sample space is the set of all possible from a trial.
Correct Answer: outcomes
Q6.
Which outcome is not a factor of 6 but is even?
An image in a quiz
1
2
3
Correct answer: 4
5

6 Questions

Q1.
Which of these is a Venn diagram?
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q2.
Use this Venn diagram to match the events to the outcomes.
An image in a quiz
Correct Answer:event A,{12, 14, 15, 20, 31, 72}
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{12, 14, 15, 20, 31, 72}

Correct Answer:event B,{10, 15, 20, 59, 99}
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{10, 15, 20, 59, 99}

Correct Answer:not event A,{10, 18, 44, 59, 62, 99}
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{10, 18, 44, 59, 62, 99}

Correct Answer:not event B,{12, 14, 18, 31, 44, 62, 72}
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{12, 14, 18, 31, 44, 62, 72}

Correct Answer:event A and event B,{15, 20}
tick

{15, 20}

Correct Answer:event A or event B,{10, 12, 14, 15, 20, 31, 59, 72, 99}
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{10, 12, 14, 15, 20, 31, 59, 72, 99}

Q3.
The Venn diagram shows 5 pupils and whether they play football (F) or play rugby (R). Which pupil plays rugby but not football?
An image in a quiz
Jun
Alex
Sofia
Correct answer: Izzy
Jacob
Q4.
This Venn diagram shows prime numbers (P) and odd numbers (O). The Venn diagram has two errors. What are they?
An image in a quiz
The outcomes are not in numerical order.
Correct answer: The outcomes of the sample space are not all represented.
The circles are not labelled A and B.
Correct answer: There is a duplication of an outcome.
Q5.
There are outcomes in the sample space shown in this Venn diagram.
An image in a quiz
Correct Answer: 6, six
Q6.
Which Venn diagram shows the same information as this outcome tree?
An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz