Set Notation & Venn Diagrams (Cambridge (CIE) IGCSE Maths: Extended): Exam Questions

In a class of 40 students:

• 28 wear glasses ()

• 13 have driving lessons ()

• 4 do not wear glasses and do not have driving lessons.

i) Complete the Venn diagram.  

[2]

ii) Use set notation to describe the region that contains a total of 32 students.  

[1]

Complete each of the following statements.

i) Find .  

[1]

ii) Write down a set where  and .

{.................................................. } [1]

40 children were asked if they have a computer or a phone or both. The Venn diagram shows the results.

Complete the Venn diagram.  

is an integer and                  

  Select the correct statement from the list below.  

Find  .

Use set notation to complete the statements for the Venn diagram above.

i)  ....................  

[1]

ii) .................................. =  

[1]

iii) = ..................................

[1]

The Venn diagram shows a universal set, and sets and

12, 5, 9, 10, 6, 3, 4 and 8 represent the numbers of elements.

Find

i)

[1]

ii)

[1]

iii)

[1]

Shade the region .

Shade the region    in the Venn diagram below.

In each Venn diagram, shade the required region. 

In this Venn diagram, shade the region .

The Venn diagram shows information about the number of elements in sets , and .

Find the value of .

................................................

and .

Work out  .

You may use the Venn diagram to help you.

................................................

List the elements of .

Find .

In the Venn diagram, shade .

The Venn diagram shows the number of people surveyed about their membership in the archery (), basketball (), or crochet () club.

A person is chosen at random.

Find the probability that this person is part of the archery club or basketball club or both.

Leave your answer as a fraction in its simplest form.

Find .

In this Venn diagram, shade the region.

This Venn diagram shows information about the number of students who play basketball , football and hockey .

Find .

The Venn diagram below shows information about the number of gardeners who grow melons ( ), potatoes ( ) and carrots ( ).

Find