Edexcel GCSE Maths

Topic Questions

Simple Probability Diagrams

1
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4 marks

50 people each did one activity at a sports centre.

Some of the people went swimming.
Some of the people played squash.
The rest of the people used the gym.

21 of the people were female.
6 of the 8 people who played squash were male.
18 of the people used the gym.
9 males went swimming.

Work out the number of females who used the gym.

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2
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4 marks

Milk is sold in 1 half pint bottles, in 1 pint bottles and in 2 pint bottles.
One weekend a shop sold 100 bottles of milk.

46 of the bottles were sold on Sunday.
15 of the bottles sold on Sunday were 2 pint bottles.

31 of the bottles sold on Saturday were 1 half pint bottles.
22 of the bottles sold were 2 pint bottles.
30 of the bottles sold were 1 pint bottles.

How many 1 pint bottles were sold on Sunday?

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3
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4 marks

66 people went on a day trip.

 Each person did only one activity on the trip.

 Each person went skating or went to an art gallery or went bowling.

 43 of the people are female.
 4 of the 10 people who went skating are male.
 20 of the people went to the art gallery.
 10 males went bowling.

 Work out the number of females who went to the art gallery.

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4
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4 marks

There are 130 adults at a language school.
Each adult studies one of French or Spanish or German.

96 of the adults are women.
12 of the women study French.
73 of the adults study Spanish.
55 of the women study Spanish.
9 of the men study German.

How many of the adults study French?

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5a
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4 marks

calligraphic E space equals space{odd numbers less than 30}
A space equals space{3, 9, 15, 21, 27}
B space equals space{5, 15, 25}

Complete the Venn diagram to represent this information.

q5a-5-2-medium-edexcel-gcse-maths

5b
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2 marks

A number is chosen at random from the universal set, calligraphic E.

What is the probability that the number is in the set A space union space B?

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6a
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2 marks

Here is a Venn diagram.

q6a-5-2-medium-edexcel-gcse-maths

Write down the numbers that are in set

i) A space union space B

[1]

ii) A space intersection space B

[1]

6b
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2 marks

One of the numbers in the diagram is chosen at random.

Find the probability that the number is in set A apostrophe.

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7a
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2 marks

The numbers from 1 to 14 are shown in the Venn diagram.

q1-paper1h-nov2020-edexcel-igcse-maths

i)
List the members of the set A intersection B

[1]

ii)
List the members of the set B ʹ 

[1]

7b
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2 marks

A number is picked at random from the numbers in the Venn diagram.

Find the probability that this number is in set Abut is not in set B.

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8
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2 marks

A and B are two events.

Some probabilities are shown on the Venn diagram.

q14-paper-1h-nov-2018-aqa-gcse-maths-1

Work out straight P left parenthesis straight A apostrophe union straight B right parenthesis.

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9a
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3 marks

ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

S = square numbers

E = even numbers

Complete the Venn diagram.

q6a-paper2h-specimen2015-aqa-gcse-maths

9b
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1 mark

One of the numbers is chosen at random.

Write down straight P space left parenthesis straight S intersection straight E right parenthesis.

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10
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5 marks

In a survey, 60 students were asked whether they have a bank account (B) and whether they have a part-time job (J).

The number of students who had neither a bank account nor a part-time job was x.

The Venn diagram shows the results in terms of x.

q4-paper4-nov2020-ocr-gcse-maths

One of the 60 students is chosen at random.

Find the probability that they have a bank account.
Show your working.

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