Free Printable Sets

1.

Which of the following collections are well defined?

a)

All students in a school

b)

All planets in our Solar System

c)

All sweet smelling flowers in a garden

d)

All good students in a course

e)

All movies released in 2007 in India

2.

Re-write the following statements using the set-builder notation:

x belongs to set A

a)

x < A

b)

x\in A

c)

$X\ \longrightarrow\ A$

3.

Re-write the following statements using the set-builder notation:

y is not an element of B

a)

$y\ \times\ B$

b)

$y\ \le\ B$

c)

$y\ \notin B$

4.

Re-write the following statements using the set-builder notation:

x and y are elements of C

a)

x, y є C

b)

$x\ and\ y\ \longrightarrow\ C$

c)

$x,\ y\ +\ C$

5.

Re-write the following statements using the set-builder notation:

a, b and c belong to D

a)

$a,\ b\ \in\ D$

b)

$a\ \in\ D$

c)

$a,\ c\ \in\ D$

d)

$a,\ b,\ c\ \in\ D$

6.

Re-write the following statements using the set-builder notation:

Set E is empty set

a)

E is empty

b)

$E\ =\ \phi$

c)

E = 0

7.

In case of the following case, write if the given set is finite or infinite.

A\ =\ \left\{x\ :\ x\ is\ a\ line\ in\ a\ plane\right\}

a)

Finite

b)

Infinite

8.

In case of the following case, write if the given set is finite or infinite.

B\ =\ \left\{x\ :\ x\ =\ n^2\ ,\ where\ n\ \in\ N\right\}

a)

Finite

b)

Infinite

9.

In case of the following case, write if the given set is finite or infinite.

C\ =\ \left\{x\ :\ x\ =\ \frac{1}{n\ +\ 1}\ ,\ where\ n\ \in\ N,\ n\ <\ 10\right\}

a)

Finite

b)

Infinite

10.

In case of the following case, write if the given set is finite or infinite.

D\ =\ \left\{x\ :\ x\ =\ 2^n\ ,\ where\ n\ \in\ N,\ n\ >\ 20\right\}

a)

Finite

b)

Infinite

11.

In case of the following case, write if the given set is finite or infinite.

E\ =\ \left\{x\ :\ x\ =\ 2n\ +\ 1\ ,\ where\ n\ \in\ N,\ n\ \ is\ a\ two\ digit\ number\right\}

a)

Finite

b)

Infinite

12.

In case of the following case, write if the given set is finite or infinite.

F\ =\ \left\{x\ :\ x\ \in\ Q,\ -\ 1\ <\ x\ <\ 1\right\}

a)

Finite

b)

Infinite

13.

Which of the following sets is an empty or a non-empty set?

A\ =\ \left\{x\ :\ x\ is\ an\ even\ number,\ x\ >\ 5\right\}

a)

Empty

b)

Non - empty

14.

Which of the following sets is an empty or a non-empty set?

B\ =\ \left\{x\ :\ x\ \in N,\ 2x\ -4\ =\ 0\right\}

a)

Empty

b)

Non - empty

15.

Which of the following sets is an empty or a non-empty set?

C\ =\ \left\{x\ :\ x\ =\ \frac{1}{n\ +\ 1},\ x\ >\ 1,\ n\ \in\ N\right\}

a)

Empty

b)

Non - empty

16.

Which of the following sets is an empty or a non-empty set?

D\ =\ \left\{x\ :\ x\ \in\ W,\ x\ <\ 0\right\}

a)

Empty

b)

Non - empty

17.

Which of the following sets is an empty or a non-empty set?

E\ =\ \left\{x\ :\ x\ =\ n^2\ ,\ n\ \in\ N,\ x\ is\ an\ odd\ number\right\}

a)

Empty

b)

Non - empty

18.

Re-write the following statements using the set-builder notation:

Set F is not an empty set

a)

F is not empty

b)

$F\ =\ \phi$

c)

$F\ \ne\ \phi$

19.

Set Q contains the letters in the word SISTER .
Which of the following is set Q ?

a)

Q = { S, T, R }

b)

Q = { I, E }

c)

Q = { S, I, S, T, E, R }

d)

Q = { S, I, T, E, R }

20.

Which of the following is the symbol for null set?

a)

∅

b)

$\subset$

c)

$\in$

d)

$\not\subset$

21.

Which of the following means proper subset?

a)

$\subset$

b)

$\subseteq$

c)

$\in$

d)

=

22.

Which of the following is the symbol for element of?

a)

∅

b)

$\subset$

c)

$\in$

d)

$\not\subset$

23.

How do you write "the complement of A"?

a)

n(A)

b)

(A)

c)

$\forall$

d)

A'

24.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

25.

What does this symbol ( ∩ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

26.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Subset

27.

Equivalent sets have

a)

the same number of elements

b)

the exact same elements

c)

the opposite elements

d)

nothing

28.

Equal sets have

a)

the same number of elements

b)

the exact same elements

c)

the opposite elements

d)

nothing

29.

What is intersection of A and B?

a)

A ∪ B

b)

∈

c)

∉

d)

A ∩ B

30.

What is Union of A and B?

a)

A ∩ B

b)

A′

c)

A ∪ B

d)

A ⊂ B

31.

What does the shaded portion of the Venn diagram represent?

a)

Band and Art

b)

Only Art

c)

Band or Art

d)

Neither

32.

Identify the shaded area...

a)

A

b)

B

33.

How many people own cats?

a)

3

b)

4

c)

6

d)

7

e)

10

34.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

35.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

36.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

37.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

38.

What statement represents the shaded part?

a)

$A'$

b)

$A\ \cup\ B$

c)

$U$

d)

$U'$

39.

How many students have a foreign language?

a)

14

b)

37

c)

23

d)

24

Sets - Class 8

Total questions: 39

Worksheet time: 1hrs 12mins

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