## Sets Maths Class 6 Worksheets play a vital role in strengthening the maths concepts.

## Sets Maths Class 6 Worksheet 1 with Answers

1. State whether the following statements are
true or false.

a. A singleton set has only one element.

b. Cardinal number of a null set is 1.

c. Disjoint sets have no elements common.

d. Two equivalent sets have always the same
number of elements but different elements.

e. The set of tall girls in class 6 is a
well-defined set.

2. Represent each of the following sets
in description method and roster form:

a. A = {*x *: 12 ≤ *x *<
20, *x *∈ N}

b. B = {*x *: *x *is a
letter of the word VIBGYOR}

c. C = {*x *: *x *is a prime
factor of 462}

d. D = {*x *: *x *is an even
prime number}

3. Identify which of the following pairs are
equivalent but not equal:

a. A = {letters of the word ‘READ’}, B =
{letters of the word ‘DREAD’}

b. A = {*x *: *x *∈ N, *x *≤ 5}, B = { *x *: *x
*is a vowel of the English alphabet}

c. A = {*x *: *x *are the first four
prime numbers}

B = {*x *: *x *is a digit of the
number 537325}

d. A = {table, chair, stool, sofa, *divan*}

B = {2, 4, 6, 8, 10}

4.
Find the cardinal number of each of the
following sets:

a.
A = {*x *: *x *is a letter of the English alphabet}

b.
B = {7, 14, 21, 28, 35, 42, 49, 56}

c.
C = {*x *: *x *is a colour of the rainbow}

d.
D = {*x *: *x *is a letter of the word MISSISSIPPI}

e.
E = {*x *: *x = n*^{2}*, *101 < *x *< 115, where *n
*∈ N}

5.
Classify the following sets as disjoint or
overlapping sets:

a.
A = {1, 2, 3, 4, 5, 6}, B = {3, 4, 7, 8, 9}

b.
A = {2, 4, 6, 8}, B = {even numbers greater than 8}

## Sets Maths Class 6 Worksheet 2

1. Classify the following sets as finite or
infinite sets:

a. The set of all natural number which are
multiples of 5.

b. The set of all points on a line segment of length 6 cm.

c.
The set of stars in the sky.

d.
The set of two-digit numbers.

2.
Which of the following sets are empty?

A
= {0}

B
= {*x *: *x *is a multiple of 2}

C
= {*x *: *x *∈ W, *x *< 1}

3.
Classify the following sets as disjoint or
overlapping sets:

a.
A = {Girls of class 6 of school S}

B
= {Girls of class 8 of school S}

b.
A = {*x *: *x *is a multiple of 3, *x *∈ N}

B
= {*x *: *x *is a multiple of 6, *x *∈ N}

4.
Given that P = {3, 6, 9, 12, 15} and Q = {9, *x*,
12, 3, 15}. If P = Q, then find value of *x*.

5.
Represent each of the following sets in
description method and set builder form:

a.
A = {1, 2, 3, 4, 5, 6, 7, 8}

b.
B = {2, 3, 5, 7, 11, 13, 17, 19, 23}

c.
C = {January, June, July}

d.
E = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30}

e.
F = {violet, indigo, blue, green, yellow, orange, red}

6. Classify the following as finite or
infinite sets:

a. Set of all factors of 210.

b. Set of all natural numbers
divisible by 3.

c. Set of all points on a line segment.

d. Set of all the students in a school.

**ANSWERS**

**Worksheet
1**

1. a. True b. False

c. True d. True

e. False

2. a. A = {Natural numbers between 11 and 20}

A = {12, 13, 14, 15,
16, 17, 18, 19}

b. B = {Letters
of the word VIBGYOR}

B = {V, I, B, G, Y, O, R}

c. C = {Prime
factors of 462}

C = {2, 3, 7, 11}

d. D = {Even
prime numbers}

D= {2}

3. a. Equivalent and equal both

b. Equivalent but not
equal

c. Equivalent and equal
both

d. Equivalent but not
equal

4. a. n(A) = 26

b. n(B) = 8

c. n(C) = 7

d. n(D) = 4

e. n(E) = 0

5. a. Overlapping sets

b. Disjoint sets

**Worksheet
2**

1. a. Infinite set

b. Infinite set

c. Infinite set

d. Finite set

2. None of these sets

3. a. Disjoint sets

b. Overlapping sets

4. x = 6

5. a. A = {Natural numbers less than 9}

A = {*x* : *x *∈ **N**, *x* < 9}

b. B = {Prime numbers less than 24}

B = {x : x is a prime
number, x < 24}

c. C = {Months of a year starting with letter J}

C = {x : x is a month of
the year starting with letter J}

d. E = {First ten multiples of 3}

E = {x : x is a multiple
of 3, x < 31}

e. F = {Colours of rainbow}

F = {x : x is a colour
of rainbow}

6. a. Finite set

b. Infinite set

c. Infinite set

d. Finite set

**Related Links:**

**Set theory, sets, notation, representation, types of sets**

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