is an integer.
is an odd number
is a multiple of 3
is a prime number
Complete the Venn diagram to show this information.
List the elements of
[1]
Find
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Syllabus Edition
First teaching 2021
Last exams 2024
is an integer.
is an odd number
is a multiple of 3
is a prime number
Complete the Venn diagram to show this information.
List the elements of
Find
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Use set notation to complete the statements.
[1]
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In the Venn diagram below, shade
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The number of members of a leisure centre using the exercise machines (E), the swimming pool (S) and the tennis courts (T) is shown on the Venn diagram.
[1]
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There are 32 students in a class.
Complete the Venn diagram to show this information.
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{students in a school}
{students who play football}
{students who play baseball}
There are 240 students in the school.
• 120 students play football
• 40 students play baseball
• 90 students play football but not baseball.
Complete the Venn diagram to show this information.
Find
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The Venn diagram above shows information about the number of students who study Music (M), Drama (D) and Geography (G).
[1]
In the Venn diagram above, shade .
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is an integer and
is even
Complete the Venn diagram using this information.
Use your Venn diagram to complete the statement.
....................................................
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The number of members of a leisure centre using the exercise machines (E), the swimming pool (S) and the tennis courts (T) is shown on the Venn diagram.
Find .
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The Venn diagram shows a universal set and three sets and .
6, 3, 8, 2, 5 and 4 represent the numbers of elements.
Find
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= {4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
= {5, 10, 15}
= {7, 8, 9, 11, 12, 13, 14}
= {4, 6, 7, 8, 14}
Complete the Venn diagram for this information.
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This year, 40 students have each travelled by one or more of plane (), train () or boat ().
7 have travelled only by plane.
11 have travelled only by train.
9 have travelled only by boat.
Complete the Venn diagram.
Find .
Use set notation to complete the statement.
...........................
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50 students study at least one of the subjects geography (), mathematics () and history ().
18 study only mathematics.
19 study two or three of these subjects.
23 study geography.
The Venn diagram below is to be used to show this information.
[2]
....................... [1]
[1]
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Some students were asked the following question.
“Which of the subjects Russian (R), French (F) and German (G) do you study?”
Of these students
4 study all three of Russian, French and German
10 study Russian and French
13 study French and German
6 study Russian and German
24 study German
11 study none of the three subjects
the number who study Russian only is twice the number who study French only.
Let be the number of students who study French only.
Show all this information on the Venn diagram, giving the number of students in each appropriate subset, in terms of where necessary.
Given that the number of students who were asked the question was 80, work out the number of these students that study Russian.
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Some students in a school were asked the following question.
“Do you have a dog (), a cat () or a rabbit ()?”
Of these students
28 have a dog
18 have a cat
20 have a rabbit
8 have both a cat and a rabbit
9 have both a dog and a rabbit
have both a dog and a cat
6 have a dog, a cat and a rabbit
5 have not got a dog or a cat or a rabbit
Using this information, complete the Venn diagram to show the number of students in each appropriate subset.
Give the numbers in terms of where necessary.
Given that a total of 50 students answered the question,
work out the value of .
= ........................
Find
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A and B are two sets.
n(ξ) = 37
n(A) = 22
n(A ∩ B) = 12
n(A ∪ B) = 30
Complete the Venn diagram to show the number of elements in each region.
Find
(i) n(A ∩ B′)
[1]
(ii) n(A′ ∪ B′)
[1]
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