About Sets & Venn Diagrams — Class 6 IB

Represent data using sets, subsets, and Venn diagrams to solve classification problems. This topic is part of the IB Class 6 mathematics syllabus (chapter: Unit 11). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

Sets & Venn Diagrams — solved examples for Class 6 IB

Practice questions on Sets & Venn Diagrams

1. Q1.easy

   List the elements of set A = {even numbers from 2 to 10}.

   1. A){2, 4, 6, 8}
   2. B){2, 4, 6, 8, 10}
   3. C){1, 3, 5, 7, 9}
   4. D){2, 3, 4, 5}
   Show answer

   Answer: {2, 4, 6, 8, 10}

   Hint: List all even numbers from 2 to 10 inclusive.

2. Q2.easy

   How many elements are in set B = {a, e, i, o, u}?

   1. A)3
   2. B)4
   3. C)5
   4. D)6
   Show answer

   Answer: 5

   Hint: Count the elements listed.

3. Q3.easy

   What is the empty set?

   1. A)A set with one element
   2. B)A set with no elements
   3. C)A set with infinite elements
   4. D)The universal set
   Show answer

   Answer: A set with no elements

   Hint: Empty = nothing inside.

4. Q4.medium

   In a class, 20 play football, 15 play basketball, 8 play both. How many play at least one sport?

   1. A)23
   2. B)27
   3. C)35
   4. D)43
   Show answer

   Answer: 27

   Hint: At least one = union = 20 + 15 − 8.

5. Q5.medium

   A = {factors of 12}, B = {factors of 18}. Find A ∩ B.

   1. A){1,2,3}
   2. B){1,2,3,6}
   3. C){1,2,6}
   4. D){6,12,18}
   Show answer

   Answer: {1,2,3,6}

   Hint: A = {1,2,3,4,6,12}, B = {1,2,3,6,9,18}.

6. Q6.medium

   If n(U) = 40, n(A) = 25, n(B) = 18, n(A ∩ B) = 10, find n(A' ∩ B').

   1. A)3
   2. B)5
   3. C)7
   4. D)10
   Show answer

   Answer: 7

   Hint: n(A' ∩ B') = n(U) − n(A ∪ B). n(A ∪ B) = 33.

7. Q7.hard

   In a group: 15 like maths, 12 like science, 10 like both, 3 like neither. Find total in the group.

   1. A)17
   2. B)20
   3. C)27
   4. D)40
   Show answer

   Answer: 20

   Hint: Total = n(M ∪ S) + neither = (15+12−10) + 3.

8. Q8.hard

   n(A) = 20, n(A ∪ B) = 32, n(A ∩ B) = 8. Find n(B).

   1. A)12
   2. B)16
   3. C)20
   4. D)24
   Show answer

   Answer: 20

   Hint: n(B) = n(A ∪ B) − n(A) + n(A ∩ B).

9. Q9.hard

   In a survey of 100 people: 60 read newspapers, 50 read magazines, 30 read both. How many read only newspapers?

   1. A)20
   2. B)25
   3. C)30
   4. D)35
   Show answer

   Answer: 30

   Hint: Only newspapers = n(N) − n(N ∩ M).

These are 9 of the 60 questions available for Sets & Venn Diagrams. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.