1. Venn Diagrams – Probability – Higher – GCSE Questions
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in a variety of sizes.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. GCSE GCSE GCSE GCSE Edexcel Higher: June 2017 Paper 3, Q1
ξ = {even numbers less than 30}
A = {2, 6, 12, 14, 18, 26} B = {4, 8, 14, 28}
(a) Complete the Venn diagram to represent this information. 1
ξ = {even numbers less than 30}
A = {2, 6, 12, 14, 18, 26} B = {4, 8, 14, 28}
(a) Complete the Venn diagram to represent this information. ξ ξ
(4)
(4)
A number is chosen at random from the universal set, ξ.
(b) What is the probability that the number is in set A ∪ B?
A number is chosen at random from the universal set, ξ.
(b) What is the probability that the number is in set A ∪ B?
(2)
(2)
(Total for Question 1 is 6 marks)
(Total for Question 1 is 6 marks)
GCSE
Edexcel Higher: June 2017 Paper 3, Q1
GCSE
Edexcel Higher: June 2017 Paper 3, Q1 1
ξ = {even numbers less than 30}
A = {2, 6, 12, 14, 18, 26} B = {4, 8, 14, 28}
(a) Complete the Venn diagram to represent this information. 1
ξ = {even numbers less than 30}
A = {2, 6, 12, 14, 18, 26} B = {4, 8, 14, 28}
(a) Complete the Venn diagram to represent this information. ξ ξ
(4)
(4)
A number is chosen at random from the universal set, ξ.
(b) What is the probability that the number is in set A ∪ B?
A number is chosen at random from the universal set, ξ.
(b) What is the probability that the number is in set A ∪ B?
(2)
(2)
(Total for Question 1 is 6 marks)
(Total for Question 1 is 6 marks)

5. GCSE GCSE Edexcel Higher: June 2018 Paper 3, Q20
60 students were asked if they studied Art or Drama or Music.
Of these people,
22 studied Art
3 studied Art, Drama and Music
6 studied Art and Drama but not Music
11 studied Drama and Music
12 did not study any of the subjects
all 16 people who studied Music studied at least one other subject
Two of the 60 people are chosen at random.
Work out the probability that they both only study Drama. 1
60 students were asked if they studied Art or Drama or Music.
Of these people,
22 studied Art
3 studied Art, Drama and Music
6 studied Art and Drama but not Music
11 studied Drama and Music
12 did not study any of the subjects
all 16 people who studied Music studied at least one other subject
Two of the 60 people are chosen at random.
Work out the probability that they both only study Drama.
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

7. GCSE Edexcel Higher: June 2017 Paper 3, Q1
ξ = {even numbers less than 30}
A = {2, 6, 12, 14, 18, 26} B = {4, 8, 14, 28}
(a) Complete the Venn diagram to represent this information. ξ
(4)
A number is chosen at random from the universal set, ξ.
(b) What is the probability that the number is in set A ∪ B?
(2)
(Total for Question 1 is 6 marks)

8. GCSE Edexcel Higher: June 2018 Paper 3, Q20 1
60 students were asked if they studied Art or Drama or Music.
Of these people,
22 studied Art
3 studied Art, Drama and Music
6 studied Art and Drama but not Music
11 studied Drama and Music
12 did not study any of the subjects
all 16 people who studied Music studied at least one other subject
Two of the 60 people are chosen at random.
Work out the probability that they both only study Drama.
(Total for Question 1 is 5 marks)

9. GCSE
Edexcel Higher: June 2017 Paper 3, Q1 1
ξ = {even numbers less than 30}
A = {2, 6, 12, 14, 18, 26} B = {4, 8, 14, 28}
(a) Complete the Venn diagram to represent this information.
2, 4, 6,
8, 10,
12, 14,
16, 18,
20, 22,
24, 26, 28 A B ξ 26 2 8 6 14 28 12
10,
16, 20,
22, 24 4 18
(4)
9 14
A number is chosen at random from the universal set, ξ.
(b) What is the probability that the number is in set A ∪ B?
(2)
(Total for Question 1 is 6 marks)

10. Art Drama 6 18 8 3 8 5 12 Music GCSE Total = 22 Total = 16
Edexcel Higher: June 2018 Paper 3, Q20 1
60 students were asked if they studied Art or Drama or Music.
Of these people,
22 studied Art
3 studied Art, Drama and Music
6 studied Art and Drama but not Music
11 studied Drama and Music
12 did not study any of the subjects
all 16 people who studied Music studied at least one other subject
Two of the 60 people are chosen at random.
Work out the probability that they both only study Drama.
Rectangle
not needed!
Art
Total = 22
Drama 6 18 8 3 8 5 12
Music
Total = 16
× =
P(1st person studies only Drama) =
P(2nd person studies only Drama) =
= =
(Total for Question 1 is 5 marks)

11. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
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