**Sets Class 8
Worksheets**

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related to that particular topic is very important for the students. This
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the students by giving them these worksheets to the students to solve.

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on sets class 8 for you. By solving these worksheets, you can increase the
understanding of the concepts learnt. These worksheets are prepared by
experienced teachers and subject matter experts.

**Sets Class 8
Worksheet 1**

**1.
**Fill in the blanks.

a.
If A ⊆ B, then A
– B = ___________.

b.
If *n*(A ∪ B) = 75,
n(A) = 60, n(B) = 30, then n(B ∩ A ) = ___________.

c. Two sets are overlapping if A ∩ B ≠ ___________.

**2. **If P =
{letters of the word EXAMINATION} and Q = {letters of the word COMBINATION},
then find

a. P ∩ Q b. P ∪ Q c. n (P) d. n (Q) e. P – Q

**3.
**If A = {1, 3, 5, 7, 9, 11} and B = {2, 3, 5,
7, 9, 11}, then match the following:

a.
A ∩ B i. {1, 7, 9, 11}

b.
A – B ii. {1,
2, 3, 5, 7, 8, 9, 10, 11, 12}

c.
B – A iii. {3,
5}

d.
A ∪ B iv. {2, 8, 10, 12}

**4.
**If** **A = {*a*, *b*, *c*, *d*},
B = {*d*, *e*, *f*, *h*} and C = {*c*, *d*, *f*,
*h*}, then find

a.
A – B b. B – A c. (A− B) ∪ (B−A)

d.
B – C e. A – C f. (B− C) ∩ (A− C)

**5. **If A = {3, 6, 9, 12, 15, 18, 21}, B =
{2, 4, 6, 8, 10, 12} and C = {6, 12, 18, 24}, then

a. Find

i. n (A ∪ B) ii. (A ∩ C) ∪ (B ∩ C)

iii. (B ∪ C) ∩ A iv. n (A ∪ C)

b. Write A, B, C in set builder form.

**6.
**Given** **x is the universal set and x = {*a*,
*b*, *c*, *d*, *e*, *f*, *g*, *h*}. If A = {*a*,
*b*, *c*, *d*} and B = {*c*, *d*, *g*, *h*},
then represent the following using Venn diagram.

a.
(A ∪ B)’ b. (A
∩ B)’

Verify
that (A ∪ B)’ = A’ ∩
B’ and (A ∩ B)’ = A’ ∪ B’

**7.
**State true or false.

a.
In Venn diagram, sets are represented by closed figures like circles, rectangle
or ovals.

b.
Union of set A and its complement is

c.
If A and B are two overlapping sets, then A ∩ B =

d.
If *n*(A ∪ B) = n(A)
+ (B), then A ∩ B =

e.
If *n*(A ∪ B) = 25, n(A)
= 15 and n(b) = 20, then n (A ∩ B) = 5

f. If A ∩ B = A ∪
B, then A and B are equal sets.

**8. **If A =
{7 days of the week} and B = {days of the week starting with letter T}, then
find

a. A ∩ B b. A ∪ B c. B – A

**9.
**Let A = {*x *: *x *∈ **N **and *x *is an even number
less than or equal to 20} and B = {*a, b, c, d*}.

a.
List the elements of A

b.
Find n (A)

c.
Find n (A ∪ B)

d. Find A ∩ B

e. Verify that n (A ∩ B) = n (A) + n (B) – n (A ∪ B)

**10.
**Choose the correct option.

a.
Union of two sets is

i.
associative ii. distributive
iii. commutative iv. none of these

b.
In case of disjoint sets, A ∩ B is

i. A ii.
B iii. iv. A ∪ B

c.
If A ⊆ B, then A
∪ B is

i.
B ii. A iii. A ∩ B iv. null set

**Sets Class 8
Worksheet 2**

**1.
**Choose the correct answer for each of the following:

a.
If A = {12, 13, 14, 15, 16, 17, 18, 19, 21} and B = {*x *: *x *is a
multiple of 3}, then A ∩ B
is

i. {14, 21} ii. {12, 15, 18, 21} iii. {12, 14, 16, 18} iv. {13, 17, 19}

b. If A = {prime numbers less than 10}, B =
{even numbers less than 8}, then A ∪ B is

i. {2, 3, 5, 7} ii. {2, 4, 6} iii. {2, 3, 4, 5, 6, 7} iv. {2}

c. A and B are two disjoint sets. If n (A) =
10, n (B) = 8, then n (A ∪ B) is

i. 10 ii. 2 iii. 18 iv. 0

d. If A = {letters of the word KOLKATA} and B
= {letters of the word KARNATAKA}, then A and B are two

i. disjoint sets ii. overlapping sets iii. equivalent sets iv. equal sets

e. If A = {vowels in the word
THIRUVANATHAPURAM}, then A is

i. {T, H, R, V, N, T, H, P, R, M} ii.
{A, R, H, T, M} iii. {A, I, U} iv.
{T, H, I, R, U, V, A, N}

**2. **Let A = {1, 2, 3, 4, 5, 6, 7}, B = {2,
4, 6, 8} and C = {2, 3, 5, 7}, then find the following:

a. A ∩ B b. A ∪ B c. (B ∩ C) ∪ A

d. n (A) e.
n(A ∩ C) f. (A ∪ C) ∩ B

**3.
**State true or false.

a.
If A ⊆ B, then A
∩ B = B

b.
If A − B = , then A is a subset of B.

c.
If A′ represents the complement of set A, then A ∩ A = Î¾ is the universal set.

**4. **Draw a Venn diagram to illustrate A ⊆ B, where A = {1, 2, 3, 4} and B is
the set of first two natural numbers.

**5.
**If the set of natural numbers is the universal
set, A is the set of first 20 even natural numbers and B is the set of first 10
multiples of B. Represent this using Venn diagram and hence find A ∩ B.

**6.
**Let A = {*x*: *x *∈ **N**, *x *is a multiple of
3, *x *≤ 18} and B = {*x*: *x *∈ **W**, *x *is a, multiple of
2, *x *≤ 18}.

a.
List the elements of A and B.

b. Find: i. n (A ∩ B) ii. n (A ∪ B)

**7.
**In a group of 30 students, 10 like football
but not cricket, 12 like cricket but not football and 5 like both cricket and
football. Find the following using Venn diagram.

a.
How many like football?

b.
How many like cricket?

c.
How many like none of the games?

**8. **Let A = {letters of the word
MANCHESTER} and B = {letters of the word YORKSHIRE}.

a. List the elements of: i. A ii. B

b. Find: i. n (A) ii. A ∩ B iii. n (A ∪ B)

c. Verify that n (A ∩ B) = n (A) + n (B) – n (A ∪ B).

**9.
**Given A = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20,
22, 24}, B = {–5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5, 6} and C = {1, 4, 9, 16,
25, 36}. Represent the following using Venn diagram.

a.
A – B b. B – C c. A – C

**10.
**Draw the Venn diagram to show the following
relationship between the sets.

a. A ⊂
B b. A ∩ B = A c. A ∪ B = C

**11.
**Fill in the blanks.

a.
If A = {the letters of the word ROSES}, then n (A) is ___________.

b.
If B = {2, 4, 6, 8, 10}, then B in set builder form is ___________.

c.
If P = {5, 10, 15, 20, 25, 30} and Q = {2, 5, 8, 10, 14, 15}, then P ∪ Q
is ___________.

d. A = {colour of the rainbow} and B = {green,
yellow, red}, then n (A ∩ B) = ___________.

e. If A = {letters of the word BIRTHDAY} and B
= {letters of the word THIRD}, then n (A ∪ B)
is equal to ___________.

**MCQs Questions for Class 8 Maths**

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