Central Board of Secondary Education (CBSE - India) Class 9 Mathematics MCQs: mix

Instructions. Answer all questions. Fill exactly one bubble per question on the OMR sheet.

1. mix

   1.

   Which of the following is an irrational number?

   1. (A)

      $\frac{2}{3}$

   2. (B)

      $\sqrt{9}$

   3. (C)

      $\sqrt{2}$

   4. (D)

      $0.333...$

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   Answer: (C)

   $\sqrt{2}$

   mix · Easy

2. 2.

   The value of $(3 + \sqrt{3})(3 - \sqrt{3})$ is:

   1. (A)

      $3$

   2. (B)

      $6$

   3. (C)

      $12$

   4. (D)

      $9$

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   Answer: (B)

   $6$

   mix · Medium

3. 3.

   If $x + \frac{1}{x} = 4$, then the value of $x^2 + \frac{1}{x^2}$ is:

   1. (A)

      $14$

   2. (B)

      $16$

   3. (C)

      $18$

   4. (D)

      $12$

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   Answer: (A)

   $14$

   mix · Hard

4. 4.

   The degree of the polynomial $4x^4 - 3x^3 + 2x - 1$ is:

   1. (A)

      $2$

   2. (B)

      $1$

   3. (C)

      $3$

   4. (D)

      $4$

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   Answer: (D)

   $4$

   mix · Easy

5. 5.

   If $p(x) = x - 1$, then the zero of the polynomial is:

   1. (A)

      $2$

   2. (B)

      $-1$

   3. (C)

      $1$

   4. (D)

      $0$

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   Answer: (C)

   $1$

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6. 6.

   The value of $103 \times 107$ using an identity is:

   1. (A)

      $11011$

   2. (B)

      $11031$

   3. (C)

      $11001$

   4. (D)

      $11021$

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   Answer: (D)

   $11021$

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7. 7.

   If $x - 2$ is a factor of $x^3 - 3x^2 + 4x + k$, then the value of $k$ is:

   1. (A)

      $8$

   2. (B)

      $-8$

   3. (C)

      $4$

   4. (D)

      $-4$

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   Answer: (B)

   $-8$

   mix · Hard

8. 8.

   In a triangle, if two angles are $60^\circ$ and $70^\circ$, the third angle is:

   1. (A)

      $50^\circ$

   2. (B)

      $60^\circ$

   3. (C)

      $70^\circ$

   4. (D)

      $80^\circ$

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   Answer: (A)

   $50^\circ$

   mix · Easy

9. 9.

   If the angles of a quadrilateral are in the ratio $1:2:3:4$, the largest angle is:

   1. (A)

      $180^\circ$

   2. (B)

      $144^\circ$

   3. (C)

      $72^\circ$

   4. (D)

      $108^\circ$

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   Answer: (B)

   $144^\circ$

   mix · Medium

10. 10.

    The perimeter of an equilateral triangle with side $a$ is:

    1. (A)

       $6a$

    2. (B)

       $a^2$

    3. (C)

       $3a$

    4. (D)

       $a/3$

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    Answer: (C)

    $3a$

    mix · Easy

11. 11.

    The area of an isosceles right triangle whose equal sides are $6$ cm is:

    1. (A)

       $18$ cm$^2$

    2. (B)

       $24$ cm$^2$

    3. (C)

       $12$ cm$^2$

    4. (D)

       $36$ cm$^2$

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    Answer: (A)

    $18$ cm$^2$

    mix · Medium

12. 12.

    A point whose abscissa is $0$ and ordinate is $5$ lies on:

    1. (A)

       Y-axis

    2. (B)

       The origin

    3. (C)

       X-axis

    4. (D)

       Fourth quadrant

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    Answer: (A)

    Y-axis

    mix · Easy

13. 13.

    The perpendicular distance of the point $(3, 4)$ from the Y-axis is:

    1. (A)

       $4$ units

    2. (B)

       $3$ units

    3. (C)

       $5$ units

    4. (D)

       $7$ units

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    Answer: (B)

    $3$ units

    mix · Medium

14. 14.

    The equation $2x + 3y = 6$ has how many solutions?

    1. (A)

       None

    2. (B)

       One

    3. (C)

       Infinitely many

    4. (D)

       Two

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    Answer: (C)

    Infinitely many

    mix · Easy

15. 15.

    If $(2, 0)$ is a solution of the linear equation $2x + 3y = k$, then the value of $k$ is:

    1. (A)

       $6$

    2. (B)

       $2$

    3. (C)

       $0$

    4. (D)

       $4$

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    Answer: (D)

    $4$

    mix · Medium

16. 16.

    The area of a triangle with base $10$ cm and height $5$ cm is:

    1. (A)

       $50$ cm$^2$

    2. (B)

       $15$ cm$^2$

    3. (C)

       $25$ cm$^2$

    4. (D)

       $20$ cm$^2$

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    Answer: (C)

    $25$ cm$^2$

    mix · Easy

17. 17.

    The surface area of a cube whose edge is $a$ is:

    1. (A)

       $2a^2$

    2. (B)

       $4a^2$

    3. (C)

       $a^3$

    4. (D)

       $6a^2$

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    Answer: (D)

    $6a^2$

    mix · Easy

18. 18.

    The volume of a hemisphere with radius $r$ is:

    1. (A)

       $\frac{4}{3}\pi r^3$

    2. (B)

       $\frac{2}{3}\pi r^3$

    3. (C)

       $\pi r^2$

    4. (D)

       $2\pi r^2$

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    Answer: (B)

    $\frac{2}{3}\pi r^3$

    mix · Medium

19. 19.

    A coin is tossed $1000$ times with the following frequencies: Heads: $455$, Tails: $545$. The probability of getting a head is:

    1. (A)

       $0.4$

    2. (B)

       $0.5$

    3. (C)

       $0.455$

    4. (D)

       $0.545$

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    Answer: (C)

    $0.455$

    mix · Easy

20. 20.

    The mean of the first five natural numbers is:

    1. (A)

       $5$

    2. (B)

       $3$

    3. (C)

       $4$

    4. (D)

       $2$

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    Answer: (B)

    $3$

    mix · Easy

— End of the paper · updated 3 November 2026 —