Worksheet on Union and Intersection using Venn Diagram

Worksheet on union and intersection using Venn diagram will help us to practice various types of questions on Venn diagram. The set of questions are based on operations on sets (Union & Intersection) on Venn diagram.

1. From the given Venn diagram, find the following sets:

(i) P

(ii) Q

(iii) P ∪ Q

(iv) P ∩ Q

(v) n(P)

(vi) n(Q)

(vii) n(P ∪ Q)

(viii) n(P ∩ Q)

2. From the given Venn diagram, find the following sets:

(i) A

(ii) B

(iii) A ∪ B

(iv) A ∩ B

3. Use the given Venn diagram to find the following sets:

(i) X

(ii) Y

(iii) X ∪ Y

(iv) X ∩ Y

4. Find the sets from the disjoint sets:

(i) P

(ii) Q

(iii) P ∪ Q

(iv) P ∩ Q

5. Given: X = Set of flowers,

             Y = Set of red flowers and

             Z = Set of flowers which bloom in winter

Write each of the following sets in words and represent them by Venn diagram by shading the portion:

(i) X ∩ Y

(ii) Y ∩ Z

(iii) X ∩ Z

6. For each of the following Venn-diagrams, write the set P ∪ Q:

7. For each of the following Venn-diagrams, write the set X ∩ Y:

Answers for the worksheet on union and intersection using Venn diagram are given below to check the exact answers of the above set of questions.

Answers:

1.  (i) {0, 2, 5, 10, 17, 25, 28}

(ii){0, 2, 4, 6, 7, 8, 9, 10, 11, 12}

(iii) {0, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 17, 25, 28}

(iv) {0, 2, 10}

(v) 7

(vi) 10

(vii) 14

(viii) 3

2. (i) {4, 6, 7, 8}

(ii) {4, 5, 6, 7, 8, 9, 10, 11}

(iii) {4, 5, 6, 7, 8, 9, 10, 11}

(iv) {4, 6, 7, 8}

3. (i) {a, b, c, d}

(ii) ∅

(iii) {a, b, c, d}

(iv) ∅

4. (i) {0, 4, 5, 6, 8, 10, 13}

(ii) {o, x, y, z, m, n}

(iii) {0, 4, 5, 6, 8, 10, 13, o, x, y, z, m, n}

(iv) { }

5. (i) Set of red flowers:

(ii) Set of red flowers which bloom in winter:

(iii) Set of flowers which bloom in winter:

6. (i) {0, 1, 2, 3, 5, 8, 9,}

(ii) {2, 3, 6, 8}

(iii) {3, 4, 5, 8}

(iv) {2, 3, 4, 5, 6, 7, 8}

(v) {1, 2, 3, 4, 5, 6, 7}

7. (i) {3, 4}

(ii) {4, 8, 9}

(iii) {  }

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● Sets and Venn-diagrams - Worksheets

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● Worksheet on Elements of a Set

● Worksheet on Representation on Set

● Worksheet on Set Operations

● Worksheet to Find the Cardinal Number of the Sets

● Worksheet on Cardinal Properties of Sets

● Worksheet on Sets using Venn Diagram

● Worksheet on Union and Intersection using Venn Diagram

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