CBSE Class 9 Maths 25 Most Important Questions by Ritik Sir

As the final examinations approach, students often feel the pressure of covering a vast syllabus in a limited time. To ease this stress, Physics Wallah has launched the "End Game" series, a specialized revision initiative designed to help you ace your exams with confidence.

The highlight of this series is a deep dive into the Class 9 Maths important questions, curated by Ritik Sir to ensure every student masters the most high-yield concepts. Beyond Mathematics, it provides a strategic roadmap for Science, Social Science, and English, offering the perfect blend of conceptual clarity and answer-writing techniques for total exam readiness.

Class 9th Final Exam Preparation: End Game Series Overview

Physics Wallah introduces the "End Game" series, a crucial initiative designed to bolster Class 9th students' confidence and revision for their final examinations. This series offers comprehensive support through focused sessions on the most critical questions across various subjects, ensuring thorough preparation and enhanced scoring potential.

Chapter-wise Weightage: Where to Focus for Maximum Marks

Success in the Class 9 Maths final exam isn't just about hard work; it’s about strategic work. Based on the latest CBSE and state board patterns, here is the approximate weightage for each unit. Use this to prioritize your revision during the "End Game" series.

Mathematics: Most Important Questions 

A dedicated session provides a comprehensive review of all Class 9th Mathematics chapters. This session focuses on a curated list of the most important questions, which are highlighted as likely to appear in the final examination papers. This single session aims to consolidate all necessary mathematics preparation.

Key Questions Discussed in the Session to help students ace their finals: Here is the list of 25 high-priority questions:

1. If a and b are rational numbers, find the values of a and b in the equality:
   (√3 − 1) / (√3 + 1) = a + b√3.

2. Show that 1.272727… = 1.\overline{27} can be expressed in the form p/q, where p and q are integers and q ≠ 0.

3. Express 15.7\overline{12} in the form p/q.

4. Represent √3 on the number line.

5. If the polynomials (2x³ + ax² + 3x − 5) and (x³ + x² − 2x + a) leave the same remainder when divided by (x − 2), find the value of a.

6. If (x − a) is a factor of (x³ − ax² + 2x + a − 1), find the value of a.

7. Using the factor theorem, factorize the polynomial
   x³ − 6x² + 11x − 6.

8. Factorize the expression:
   x² − 5x + 6.

9. Write the statement “The cost of a ball pen is ₹5 less than half of the cost of a fountain pen” as a linear equation in two variables.

10. Find the value of k, if x = 2, y = 1 is a solution of the equation
    2x + 3y = k.

11. In the given figure, if AB ∥ CD, CD ∥ EF and y : z = 3 : 7, find x.

12. If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

13. Lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE.

14. Prove that the sum of the angles of a triangle is 180°.

15. In triangle ABC, the bisectors of ∠B and ∠C intersect each other at the point O. Prove that
    ∠BOC = 90° + ½∠A.

16. In triangle ABC, AD is the perpendicular bisector of BC. Show that triangle ABC is an isosceles triangle in which AB = AC.

17. ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that
    triangle ABD ≅ triangle BAC.

18. Show that the diagonals of a square are equal and bisect each other at right angles.

19. Prove that a diagonal of a parallelogram divides it into two congruent triangles.

20. In a parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ. Show that APCQ is a parallelogram.

21. Prove that the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

22. If a line intersects two concentric circles with centre O at A, B, C and D, prove that AB = CD.

23. Find the area of a triangle two sides of which are 18 cm and 10 cm and the perimeter is 42 cm.

24. A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non-parallel sides are 14 m and 13 m. Find the area of the field.

25. Find the total surface area of a right circular cone with radius 6 cm and height 8 cm.

Download Class 9 Maths Important Questions Notes PDF

To get the detailed solutions and step-by-step explanations for these questions, you can download the class notes directly. The Notes PDF contains the logic, formulas, and shortcut methods used by Ritik Sir in the session.

Download Class 9 Maths Important Questions Notes PDF