Browse Venn diagrams & set notation

35 questions at your level

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

Venn diagrams

13 questions

LessonNot started

30

students in a class. Each student was asked whether they have a sister and whether they have a brother.

The Venn diagram shows the results.

S

is the group who have a sister and

B

is the group who have a brother.(a) Write down the number of students who have a sister.

(b) Write down the number of students who have a brother but not a sister.

(c) Work out the number of students who have at least one sibling.

●●●●●Level 24 marksStart

Set notation

11 questions

LessonNot started

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

A = \{\text{prime numbers}\}

B = \{\text{odd numbers}\}

(a) List the members of

A \cap B

.

(b) List the members of

A \cup B

.

(c) Find

n(B')

●●●●●Level 23 marksStart

Probability from Venn diagrams

12 questions

LessonNot started

40

adults were asked whether they own a cat (

C

) and whether they own a dog (

D

). The Venn diagram shows the results.One of the

40

adults is chosen at random.

(a) Find the probability that this adult owns a cat.

(b) Find the probability that this adult owns neither a cat nor a dog.

●●●●●Level 23 marksStart