Worksheet on Venn Diagrams

In worksheet on Venn Diagrams we will solve 8 different types of questions on sets, to draw Venn Diagrams in different situations.

1. Draw Venn diagrams to represent

(a) Union of sets

(b) Intersection of sets

Write steps of construction also.


2. What set is represented by the shaded portion in the following Venn diagrams?

3. Read the Venn diagrams and answer the following.

(i) A

(ii) B

(iii) A

(iv) B'

(v) A ∪ B

(vi) A ∩ B

(vii) (A ∪ B)'

(viii) (A ∩ B)'

(ix) A - B

(x) B - A

(xi) ξ

4. In the adjoining Venn diagrams, find

(a) A U B

(b) A ∩ B

5. Draw the Venn diagrams to show the following relations.

(a) P ⊆ Q

(b) P ⊆ Q ⊆ ξ

(c) P ∩ Q = P

(d) P ∪ Q = Q

(e) P ∩ Q = ∅

(f) (P ∩ Q)' = ξ

6. If ξ = {x : x ∈ N, x < 20}

   A = {x : x is an odd number, less than 20}

   B = {x : x is a prime number, less than 20}

Draw a Venn diagram to show the relation between these sets. Use the Venn diagram to find

(a) A - B

(b) B'

(c) A ∪ B

(d) A ∩ B 

(e) ξ ∩ A 

(f) ξ ∩ B 


7. From the adjoining Venn diagram, find

(a) A ∪ B

(b) B' ∪ A

(c) A - B

(d) B ∪ A'

(e) A'

(f) (A ∪ B)'

Is (A ∩ B)' = A' ∪ B'?

8. Draw Venn diagrams to show the relationship between the following pairs of sets.

(a) A = {The set of fruits in the basket}

      B = {The set of vegetables in the basket}

(b) P = {x : x ∈ N, x < 9}

      Q = {x : x ∈ I, -5 < x < 3}

(c) X = {Negative integers}

      Y = {Positive integers}

(d) M = {All boys in the school}

      N = {All boys in the class}

(e) C = {Prime factors of 12}

      D = {All factors of 12}

Answers for worksheet on Venn Diagrams are given below to check the exact answer.

● 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

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