Class 9 Mathematics Model Paper – Unit Test 2025

📘 Class 9 Mathematics Model Paper – Unit Test 2025

🔍 Prepared by Digital Pipal Academy

Dear Students and Educators,
As we gear up for the Unit Test Examination 2025, here is a Model Question Paper designed to help Class 9 students practice and revise key concepts in Mathematics effectively.

This model paper follows the standard exam pattern and includes a well-balanced mix of Very Short Answer, Short Answer, and Long Answer type questions. Use this paper for practice and self-assessment.

 

 

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📝 Model Question Paper

Subject: Mathematics
Class: 9
Examination: Unit Test 2025
Maximum Marks: 50
Time: 1½ Hours
Chapters Covered:

1. Number Systems

2. Polynomials

3. Linear Equations in Two Variables

4. Coordinate Geometry

5. Lines and Angles

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Instructions:

• All questions are compulsory.

• The marks for each question are indicated.

• Use separate steps and figures wherever necessary.

  
  

Section A – Very Short Answer Questions (1 mark each)

(Answer in one sentence or one step)

1. Write the decimal expansion of 1/7.

2. Find the degree of the polynomial: $4x^3 - 3x^2 + 7$

3. Write the coordinates of the origin.

4. Solve: $5x + 3 = 0$

5. Name the angle formed by two intersecting lines.

   
   

Section B – Short Answer Questions (2 marks each)

6. Express $\sqrt{2}$ on the number line (explain in steps only).

7. Divide: $(x^2 + 3x + 2) \div (x + 1)$

8. Plot the points A(2,3), B(-2,3) on a graph and name the type of line joining them.

9. Solve the equation: $2x + 3y = 12$ for y when x = 3.

10. In the given figure, if two lines intersect and one of the angles is 40°, find its vertically opposite angle.

    
    

Section C – Short Answer Type II (3 marks each)

11. Check whether $\sqrt{5}$ is rational or irrational. Justify.

12. Find the remainder when $x^3 + 2x^2 - x + 1$ is divided by $x - 1$.

13. Draw the graph of the linear equation: $x + y = 4$.

14. Prove that the sum of the angles on the same side of a transversal line with two parallel lines is 180°.

    
    

Section D – Long Answer Questions (4 marks each)

15. Factorise completely:
      (a) $x^2 - 5x + 6$
      (b) $x^3 - 27$

16. The coordinates of points A and B are (1, 2) and (3, 6). Find the distance between A and B using distance formula.

17. Two complementary angles differ by 12°. Find the angles using linear equations.

18. In the figure below (assume a triangle with extended lines), prove that the exterior angle is equal to the sum of the opposite interior angles.

    
    

✅ Tips for Preparation:

• Revise the formulas of all chapters.

• Practice plotting points and drawing graphs.

• Solve previous year question papers.

• Time yourself during mock tests to improve speed and accuracy.

  
  

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