Class XI Mathematics

Chapter 1: Sets

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Worksheet Details:

  • Title: Class XI Math: Sets Printable Sheet
  • Format: Print Optimized CSS stylesheet
  • Sections: Formulas checklist, 5 assessment questions, worked keys

NexPro Education Worksheet

Class XI Mathematics: Sets

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

Cardinality of Union
n(A \cup B) = n(A) + n(B) - n(A \cap B)
Power Set Size
|P(A)| = 2^n

Section II: Answer the Questions

1. If U = { x : x ≤ 10, x ∈ N}, A = { x : x ∈ N, x is prime}, B = { x : x ∈ N, x is even}, write A ∩ B′ in roster form.

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2. Find n, if : 2n-1Pn : 2n+1Pn-1 = 22:7

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3. Find (a + b)4 - (a - b)4. Hence, evaluate 4 4( 3 2) ( 3 2)+ - - .

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4. In a class, 18 students took Physics, 23 students took Chemistry and 24 students took Mathematics. Of these 13 took both Chemistry and Mathematics, 12 took both Physics and Chemistry and 11 took both Physics and Mathematics. If 6 students offered all the three subjects, find : (i) Total number of students in the class. (ii) How many took Mathematics but not Chemistry ? (iii) How many took exactly one of the 3 subjects ?

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5. If pth, qth, rth and sth terms of an A.P. are in G.P, then show that (p - q), (q - r), (r - s) are also in G.P.

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