Set Notation & Venn Diagrams (Cambridge O Level Maths)

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.

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.

 ....................
 

= ..................................

[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

= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
= { : 6 ⩽ x ⩽ 10}
= {is a factor of 18}
= { is a square number}

Complete the Venn diagram.

Find 

Shade the region .

Shade the region    in the Venn diagram below.

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 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