Set Notation & Probability Diagrams (CIE IGCSE Maths: Core)

= {2, 4, 8, 16, 32, 64}
= {square numbers}
= {cube numbers}

Use this information to complete the Venn diagram.

[2]

In a group of 40 students,

• 24 students like football
• 19 students like cricket
• 10 students like football but not cricket.

Complete the Venn diagram.

 = {children in a group}
= {children who own a rabbit}
= {children who own a hamster}

There are 40 children in the group.
19 children own a rabbit.
27 children own a hamster.

Complete the Venn diagram.

Write down

[1]

The Venn diagram shows information about the number of students in a class who like apples () and bananas ().

The table gives some information about the numbers of visitors at a leisure centre one day.

[1]

 = { : is a positive integer less than 20}
A = { : is an even number}
B = { : is a multiple of 3}

Write down .

[1]

Work out the probability that this number is

iiia)

not in set and not in set ,

[1]

iiib)

in

[1]

[1]

 = { : is a natural number 15}
= { : is a factor of 12}
= { : is an odd number}

= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
= {: is a factor of 14}
= {: is a prime number less than 14}

Write down the elements in set .

= { ................................................ } [2]

= {children who go to the park}
= {children who play tennis}
= {children who play golf}

120 children go to the park.
50 play tennis.
75 play golf.
25 do not play tennis or golf.

Complete the Venn diagram.

[2]

Find n().

[1]

The 262 students at a college each study one of the languages shown in the table.

Complete the table.

[3]

Find the probability that

[1]

[1]