MCQS 11 th class maths

 

Here are some sample Multiple Choice Questions (MCQs) with answers for 11th-class Mathematics, aligned with the Federal Board of Intermediate and Secondary Education (FBISE), Islamabad, syllabus. These questions are based on common topics in the FBISE curriculum, such as Sets, Functions, Trigonometry, Algebra, and Coordinate Geometry, as found in resources like past papers and chapter-wise notes.

Sample MCQs with Answers

Chapter 1: Sets

1. The cardinality of the power set of a set with 3 elements is:
   • A) 3
   • B) 6
   • C) 8
   • D) 9
   • Answer: C) 8
   • Explanation: The cardinality of the power set of a set with ( n ) elements is

     2^n

     . For

     n = 3

     ,

     2^3 = 8

     .
2. If

   U = \{1, 2, 3, 4, 5\}

   and

   A = \{1, 3, 5\}

   , then ( A' ) (complement of ( A )) is:
   • A) {2, 4}
   • B) {1, 3, 5}
   • C) {1, 2, 3, 4, 5}
   • D) {4, 5}
   • Answer: A) {2, 4}
   • Explanation: The complement of ( A ) consists of all elements in the universal set ( U ) that are not in ( A ). Thus,

     A' = \{1, 2, 3, 4, 5\} - \{1, 3, 5\} = \{2, 4\}

     .

Chapter 2: Relations and Functions

3. Which of the following is a function from

   A = \{1, 2, 3\}

   to

   B = \{4, 5\}

   ?
   • A) {(1, 4), (2, 5), (3, 4)}
   • B) {(1, 4), (2, 4), (2, 5)}
   • C) {(1, 5), (2, 5), (3, 6)}
   • D) {(4, 1), (5, 2)}
   • Answer: A) {(1, 4), (2, 5), (3, 4)}
   • Explanation: A function from ( A ) to ( B ) assigns exactly one element of ( B ) to each element of ( A ). Option A satisfies this, as each element in ( A ) maps to exactly one element in ( B ). Option B has two mappings for 2, which violates the function definition. Option C includes 6, which is not in ( B ). Option D maps from ( B ) to ( A ).

Chapter 3: Trigonometric Functions

4. The value of

   \sin(30^\circ) + \cos(60^\circ)

   is:
   • A) 1
   • B) 0
   • C)

     \frac{1}{2}
   • D) 2
   • Answer: A) 1
   • Explanation:

     \sin(30^\circ) = \frac{1}{2}

     ,

     \cos(60^\circ) = \frac{1}{2}

     . Thus,

     \sin(30^\circ) + \cos(60^\circ) = \frac{1}{2} + \frac{1}{2} = 1

     .

Chapter 4: Mathematical Induction

5. The principle of mathematical induction is used to prove statements involving:
   • A) Real numbers
   • B) Complex numbers
   • C) Natural numbers
   • D) Rational numbers
   • Answer: C) Natural numbers
   • Explanation: Mathematical induction is a method to prove statements for all natural numbers by verifying the base case and the inductive step.

Chapter 5: Complex Numbers

6. The conjugate of the complex number

   3 + 4i

   is:
   • A)

     3 - 4i
   • B)

     -3 + 4i
   • C)

     3 + 4i
   • D)

     -3 - 4i
   • Answer: A)

     3 - 4i
   • Explanation: The conjugate of a complex number

     a + bi

     is

     a - bi

     . For

     3 + 4i

     , the conjugate is

     3 - 4i

     .

Chapter 6: Linear Inequalities

7. The solution set of the inequality

   2x + 3 > 7

   is:
   • A)

     x > 2
   • B)

     x < 2
   • C)

     x > 4
   • D)

     x < 4
   • Answer: A)

     x > 2
   • Explanation: Solve

     2x + 3 > 7

     : Subtract 3 from both sides:

     2x > 4

     . Divide by 2:

     x > 2

     .

Chapter 7: Sequences and Series

8. The 5th term of the arithmetic sequence with first term 2 and common difference 3 is:
   • A) 11
   • B) 14
   • C) 17
   • D) 20
   • Answer: B) 14
   • Explanation: The ( n )-th term of an arithmetic sequence is given by

     a_n = a_1 + (n-1)d

     . For

     n = 5

     ,

     a_1 = 2

     ,

     d = 3

     :

     a_5 = 2 + (5-1) \cdot 3 = 2 + 12 = 14

     .

Chapter 8: Straight Lines

9. The slope of the line passing through points ( (2, 3) ) and ( (4, 7) ) is:
   • A) 1
   • B) 2
   • C) 3
   • D) 4
   • Answer: B) 2
   • Explanation: Slope

     m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2

     .

Chapter 9: Conic Sections

10. The equation

    x^2 + y^2 = 25

    represents a:
    • A) Parabola
    • B) Ellipse
    • C) Circle
    • D) Hyperbola
    • Answer: C) Circle
    • Explanation: The equation

      x^2 + y^2 = r^2

      represents a circle with radius ( r ). Here,

      r^2 = 25

      , so it’s a circle with radius 5.

Resources for Further Practice

• FBISE Past Papers: You can access solved past papers (2010–2020 and beyond) for 11th-class Mathematics from websites like easymcqs.com and fbisesolvedpastpapers.com. These include chapter-wise MCQs with answers in PDF format, particularly for 2016 and 2017, which are noted as important for exam preparation.
• Online Quiz Systems: Platforms like easymcqs.com offer online quiz systems for practicing MCQs, which are helpful for both medical and non-medical students preparing for FBISE exams and MDCAT.
• Chapter-wise Notes: Websites like downloadclassnotes.com and taleemcity.com provide chapter-wise MCQs with answers in PDF format, covering the entire FBISE syllabus for 11th-class Mathematics.
• Additional MCQs: For more comprehensive practice, sanfoundry.com offers over 1000 MCQs covering all chapters of 11th-class Mathematics, though these are aligned with CBSE/NCERT but can be adapted for FBISE.

Notes

• The questions above are sample MCQs based on the FBISE syllabus and common patterns in past papers. For exact questions from specific years, you can download PDFs from the mentioned websites.
• For further details or to access specific past papers (e.g., 2016, 2017), visit easymcqs.com or fbisesolvedpastpapers.com, where chapter-wise solved MCQs are available.
• If you need MCQs for a specific chapter or year, let me know, and I can provide more targeted questions or guide you to the appropriate resource.

Let me know if you’d like more MCQs, specific chapter focus, or help accessing past papers!