Worksheets › Class 11 › Sets
Class 11 Sets worksheet
CBSE Mathematics. Roster and set-builder form, subsets, union, intersection, complements, Venn problems. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
A set has 4 elements. How many subsets does it have?
- 8
- 15
- 17
- 16
Answer
(d) 16
2⁴
- 2.
If A = {1, 4, 5, 7, 8, 10} and B = {2, 5, 8}, then A ∩ B is:
- {5, 8}
- {1, 2, 4, 5, 7, 8, 10}
- {1, 4, 7, 10}
- {2}
Answer
(a) {5, 8}
- 3.
If n(A) = 17, n(B) = 13 and n(A ∩ B) = 4, then n(A ∪ B) is:
- 26
- 22
- 30
- 34
Answer
(a) 26
n(A) + n(B) − n(A ∩ B)
Section B · short answer
- 4.
If A = {1, 2, 5, 6, 9, 10} and B = {2, 7, 9}, find A ∪ B, A ∩ B and A − B.
Answer
A ∪ B = {1, 2, 5, 6, 7, 9, 10}; A ∩ B = {2, 9}; A − B = {1, 5, 6, 10}
- 5.
In a group of 98 people, 49 like tea, 70 like coffee and 35 like both. How many like neither? How many like tea only?
Answer
Neither: 14; tea only: 14
n(T ∪ C) = 49 + 70 − 35 = 84
Section C · long answer
- 6.
In a survey of 118 students, 36 read Hindi newspapers, 72 read English, 59 read Punjabi; 17 read Hindi and English, 21 read Hindi and Punjabi, 32 read English and Punjabi, and 5 read all three. How many read (a) none of them, (b) exactly one, (c) Hindi only?
Answer
(a) 16; (b) 42; (c) 3
fill the Venn diagram from the centre outwards
Fresh sheets for your child
In the app, every Sets sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.