1. Skipton Girls’ High School
GCSE: Venn Diagrams
Skipton Girls’ High School

2. Venn Diagrams Specification Point- Sort data using Venn diagrams
29/05/2018
Venn Diagrams
Specification Point- Sort data using Venn diagrams
Objectives are: 1 2 3
Sort the following data using a Venn diagram input even numbers and primes.
1,2,3,4,5,6,7,8,9,10
How many numbers are: a) b) c)
Work out the probability of getting: a) b) c)
Level 4
Level 6
Level 7
Venn diagram Set Elements
Keywords

3. Take a look at these shapes, complete the diagram below.
29/05/2018
Venn Diagrams
Starter:
Take a look at these shapes, complete the diagram below.
Circle
Green 4 3 3 2

4. Venn Diagrams Key Definitions: 29/05/2018B
The intersection is where two sets overlap.
This means A and B.
AND rule A B
If you put two sets together, you get the union.
This means A or B.
OR rule A B
The complement of A is the region that is not A.
This means not A.

5. Venn Diagrams Example 1: 29/05/2018B
Mrs Smith asks 24 pupils in her class about their families. She sorts them into:
S - {has sisters}
B - {has brothers}
She showed her results on a Venn diagram 7 5 8 4 1
Describe the blue region in words.
Has a sister but not a brother.
Doesn’t have a sister or doesn’t have a brother. 2
Describe the region in words.
This means not a sister. Numbers not in blue. 12 pupils 3
How many students are in S’. 4
Work out:
Sister and Brother: 5
Work out:
No Sister and Brother:

6. Venn Diagrams Example 2: 29/05/2018O T
Using numbers from 1 to 10, complete this Venn diagram.
O – {odd numbers}
T – {Multiples of three} 3 2 1 4 1
Shade in the region a multiple of three but not a odd number. 2
Describe the region in words.
Odd number or a multiple of 3.
This means not odd.
5 numbers 3
How many numbers are in O’. 4
Work out:
Odd and Multiple of 3: 5
Work out:
Odd and not a multiple of 3:

7. Use the instructions over the next few slides to shade your Venn diagrams accordingly. Make sure you label each diagram so you can refer to it later!

8. Shade the area that represents: P (B)
Get students to come to the whiteboard and shade what they think

9. Shade the area that represents: P (B ’)

10. Shade the area that represents: P (A ’  B ’)

11. Shade the area that represents: P (A ’  B ’)

12. Shade the area that represents: P (A  B ’)

13. Shade the area that represents: P (A  B ’)

14. Answers Question 1 Question 3 Has a sister None
Main Worksheet RAG
Answers
Question 1
Has a sister
Does not have a brother or does not have a sister 12
5/24
8/24
Question 2
Odd number or a multiple of 3 5
2/10
3/10
Question 3
None
A I
E R 9 8 2 17