Sample Class 9 Maths Question Paper

Here is a sample Class 9 Maths question paper for your reference:

Section A: Multiple Choice Questions
1. Simplify: \(5x^2 + 3x - 7\) when \(x = 2\).
2. Solve for x: \(\frac{2x + 5}{3} = 7\).
3. Find the value of 'a' in the equation: \(3a - 2 = 13\).
4. If the perimeter of a rectangle is 30 cm and its length is 8 cm, find its width.
5. Factorize: \(x^2 + 5x + 6\).

Section B: Short Answer Questions
6. Solve the linear equation: \(2x + 3 = 11\).
7. Find the area of a triangle with base 6 cm and height 8 cm.
8. If the ratio of sides of two similar triangles is 3:5, find the ratio of their areas.
9. Prove that the sum of the angles of a triangle is 180 degrees.
10. Solve for x: \(4(x - 3) = 24\).

Section C: Long Answer Questions
11. A rectangular park is 60 m long and 40 m wide. A path of uniform width is constructed around it, reducing the area of the park to 1800 sq. m. Find the width of the path.
12. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. Find the principal and rate of interest.
13. The sum of the first 10 terms of an AP is 145 and the common difference is 3. Find the first term.
14. The volume of a cube is 512 cm³. Find its surface area.
15. In a class of 40 students, 24 study Mathematics, 18 study Science, and 10 study both. Find how many students study neither Mathematics nor Science.

This sample question paper covers various topics such as algebra, geometry, trigonometry, and arithmetic. Practice solving these questions to enhance your understanding and preparation for your Class 9 Maths exam.