Saturday, July 5, 2025

CBSE Class 9 Maths Question Paper

CBSE Class 9 Mathematics Question Paper

Chapters: Number Systems, Coordinate Geometry, Polynomials

Session: 2025-26 | Max Marks: 40 | Time: 2 Hours

Section A: Multiple Choice Questions (6 × 1 = 6 Marks)

1. Which of the following is a rational number?

2. The point (4, -2) lies in which quadrant?

3. The degree of the polynomial 5x⁴ – 2x² + 3 is:

4. The decimal expansion of √2 is:

5. The coordinates of a point on the x-axis are:

6. The zero of the polynomial p(x) = 3x – 6 is:

Section B: Short Answer-I (4 × 2 = 8 Marks)

7. Find a rational and an irrational number between 1.5 and 1.6.

8. Plot points A(3, 2) and B(-2, -1) on a graph and identify their quadrants.

9. Simplify: (x + 4)(x – 3) using an identity.

10. Express 0.454545... as a fraction in its simplest form.

Section C: Short Answer-II (3 × 3 = 9 Marks)

11. Simplify: 3/(√7 – √3) by rationalizing the denominator.

12. Plot points P(2, 4), Q(5, 4), R(5, 1), and S(2, 1) on a graph. What shape is formed?

13. Factorize: x² – 5x + 6.

Section D: Long Answer (3 × 4 = 12 Marks)

14. Divide the polynomial 3x³ – x² + 2x – 5 by (x – 2) using long division and find the remainder.

15. Verify if points A(0, 0), B(4, 0), C(4, 3), and D(0, 3) form a rectangle by calculating distances.

16. Prove that √5 is irrational.

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