Subscribe to our YouTube channel for the latest videos, updates, and tips.


Worksheet on Subsets

In worksheet on subsets we will solve 10 different types of questions.

1. Which of the following are correct statements?

A = {1, 2, 3, 4, 5, 6} 

(a) {2, 3} ⊂ A 

(b) {1, 2, 3, 4, 5,6, 7} ⊃ A 

(c) 8 ⊂ A 

(d) {3, 5, 1, 7} ⊃ A 

(e) {1} ⊂ A 

(f) {1, 2, 3, 4} ⊂ A

(g) { } ⊃ A 

(h) ϕ ⊂ A 

2. How many elements are there in power set if

(a) A = {ϕ}

(b) B = {a, b}

(c) C = {l, m, n}

(d) D = {4, 9}

3. Find the number of proper subsets of the following.

(a) P = {x : x ∈ N, x < 5}

(b) Q = {x : x is an even prime number}

(c) R = {x : x ∈ W, x < 2}

(d) T = { }

(e) X = {0}

(f) Y = {x : x is prime, 2 < x < 10}

4. Write down all the subsets of

(a) {8}

(b) {p, q}

(c) {1, 3, 5}

(d) ϕ

Worksheet on Subsets
5. What universal sets would you propose for the following?

(a) The set of all squares

(b) The set of all even numbers

(c) The set of all isosceles triangles

(d) The set of all negative integers

(e) The set of all prime numbers

(f) The set of all obtuse angled triangles

6. Fill in the blank spaces using the symbols ⊂ or ⊄.

(a) {1, 2, 3} _____ {1, 3, 5}

(b) ϕ ____ {4, 7, 9}

(c) {x : x is rectangle in a plane} _____ {x : x is a quadrilateral in a plane}

(d) {x : x is an odd natural number} {x : x is an integer}

(e) {x : x is a prime number} {x : x is a composite number}

(f) {5, 10, 15, 20, 25, 30}____{10, 20, 30, 40}


7. Given set A = {a, b, c) B = {p, q, r} C = {x, y, z, m, n, t} which of following are considered as universal set for all the three sets.

(a) P = {a, b, c, p, q, x, y, m, t}

(b) Q = {ϕ}

(c) R = {a, c, q, r, b, p, t, z, m, n, x, y}

(d) S = {b, c, q, r, n, t, p, q, x, m, y, z, f, g}

8. Let A be the set of letters of the word FOLLOW. Find

(a) A 

(b) n(A) 

(c) Number of subsets of A 

(d) Number of proper subsets of A 

(e) Power set of A 


9. Find the power set of the following sets.

(a) A = {a, b, c}

(b) B = {0, 7} 

(c) C = {0, 5, 10} 

(d) D = {x} 


10. A = {x, y, z}           B = {y, p, x, q, z} 

Is B ⊂ A or A ⊂ E? Give reasons.


Worksheet on Subsets Answers :


1. (a), (b), (e), (f), (h) 

2. (a) 1 

(b) 4 

(c) 8 

(d) 4 


3.(a) 15 

(b) 1 

(c) 3 

(d) 0 

(e) 1 

(f) 7 


4. (a) ∅, {8}

(b) ∅, {p}, {q}, {p, q}

(c) ∅, {1}, {3}, {5}, {1, 3}, {1, 5}, {3, 5}, {1, 3, 5} 

(d) ∅ 


5. (a) {quadrilaterals}

(b) N 

(c) {triangles} 

(d) I 

(e) N 

(f) {triangles} 


6. (a) ⊄

(b) ⊂

(c) ⊂

(d) ⊂

(e) ⊄

(f) ⊄


7. (c) 

8. (a) {F, O, L, W} 

(b) 4 

(c) 16 

(d) 15 

(e) {∅, {F}, {O}, {L}, {W}, {F, O}, {F, L}, {F, W}, {O, L}, {O, W}, {L, W}, {F, O, L}, {F, O, W}, {F, L, W}, {O, L, W}, {F, O, L, W}} 



9. (a) {∅, {a}, {b}, {c}, {a, b}, {b, c}, {a, c}, {a, b, c}} 

(b) {∅, {0}, {7}, {0, 7}} 

(c) {∅, {0}, {5}, {10}, {0, 5}, {0, 10}, {5, 10}, {0, 5, 10}} 

(d) {∅, {x}}

Sets and Venn-diagrams Worksheets

Worksheet on Set

Worksheet on Elements Form a Set

Worksheet to Find the Elements of Sets

Worksheet on Properties of a Set

Worksheet on Sets in Roster Form

Worksheet on Sets in Set-builder Form

Worksheet on Finite and Infinite Sets

Worksheet on Equal Sets and Equivalent Sets

Worksheet on Empty Sets

Worksheet on Subsets

Worksheet on Union and Intersection of Sets

Worksheet on Disjoint Sets and Overlapping Sets

Worksheet on Difference of Two Sets

Worksheet on Operation on Sets

Worksheet on Cardinal Number of a Set

Worksheet on Venn Diagrams






7th Grade Math Problems

Math Home Work Sheets

From Worksheet on Subsets to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  2. Worksheet on Average | Word Problem on Average | Questions on Average

    May 17, 25 05:37 PM

    In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family

    Read More

  3. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  4. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  5. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More