CBSE Class 10 Math Board Exam 2025 Most Important Questions for Algebra, Key Topics, and Weightage

The CBSE Class 10 Math Board Exam 2025 is just around the corner, and Algebra is a cornerstone of the syllabus. With around 24 marks dedicated to this unit, mastering Algebra is essential for students aiming to score high. This guide highlights the key topics, most important questions, and effective preparation strategies to help you excel.
Why is Algebra Important?
Algebra not only accounts for a significant portion of the exam but also enhances problem-solving and logical reasoning skills. It lays the groundwork for higher-level math in Class 11 and 12.

Algebra: Weightage and Key Topics

Key Topics for Algebra
1. Polynomials
•    Relationship between zeros and coefficients.
•    Problems based on quadratic polynomials.
2. Pair of Linear Equations in Two Variables
•    Graphical Method: Solving and interpreting graphs.
•    Substitution, Elimination, and Cross-Multiplication methods.
•    Application-based word problems like cost analysis and motion.
3. Quadratic Equations
•    Methods of solving:
o    Factorization
o    Quadratic formula
•    Nature of roots based on the discriminant.
•    Application-based problems in geometry and motion.
4. Arithmetic Progressions
•    Finding the nth term.
•    Sum of first n terms (Sn).
•    Application in real-life scenarios like arranging seats, savings, or time intervals.
Most Important Questions for CBSE Class 10 Algebra
Polynomials
1.    Find the zeros of the polynomial x2−7x+10x^2 - 7x + 10x2−7x+10 and verify the relationship between the zeros and coefficients.
2.    If one zero of the polynomial 2x2+5x+k2x^2 + 5x + k2x2+5x+k is -2, find the value of kkk.
Pair of Linear Equations
1.    Solve graphically: x+y=7and2x−y=4x + y = 7 \quad \text{and} \quad 2x - y = 4x+y=7and2x−y=4
2.    A shopkeeper sells pens at ?12 each and pencils at ?5 each. He sells a total of 20 items for ?150. Find the number of pens and pencils sold.
Quadratic Equations
1.    Solve x2+6x+8=0x^2 + 6x + 8 = 0x2+6x+8=0 using factorization.
2.    The sum of the squares of two consecutive odd integers is 290. Find the integers.
Arithmetic Progressions
1.    The 7th term of an AP is 25, and the 13th term is 55. Find the first term and the common difference.
2.    Find the sum of the first 15 terms of an AP where the first term is 7 and the common difference is 4.
Preparation Strategies for Algebra
1. Start with NCERT
•    Solve all examples and exercises from NCERT. These questions form the basis of board exams.
•    Focus on graphs and application-based questions.
2. Analyze Previous Year Papers
•    Identify recurring patterns in question types.
•    Pay attention to high-weightage topics like quadratic equations and linear equations.
3. Practice Application-Based Problems
•    Word problems often confuse students. Break them into steps:
o    Understand the problem.
o    Convert it into mathematical equations.
o    Solve systematically.
4. Maintain a Formula Notebook
•    Record all formulas and key concepts in one place.
•    Revise daily to ensure you remember them during the exam.
5. Take Mock Tests
•    Simulate real exam conditions with timed tests.
•    Review your mistakes and refine your approach.
6. Revise Regularly
•    Dedicate the last month to revisiting important topics.
•    Use flashcards for quick revisions.
Common Mistakes to Avoid
•    Skipping Graphs: Graph-based questions often fetch easy marks. Practice plotting accurately.
•    Overlooking Steps in Solutions: Board exams follow stepwise marking, so write detailed solutions.
•    Relying Solely on NCERT: Use additional resources like RD Sharma or Oswal for advanced practice.
•    Neglecting Time Management: Allocate specific times to solve each topic during the exam.

FAQs on Algebra for CBSE Class 10
Q1. Is Algebra the most important unit in Class 10 Math?
Yes, Algebra is one of the most important and high-scoring units, carrying approximately 24 marks.
Q2. How can I score full marks in Algebra?
Focus on:
•    NCERT textbook problems.
•    Graphs and application-based questions.
•    Regular practice and formula revision.
Q3. Are graphs necessary for the board exam?
Yes, questions requiring graphical solutions are common and must be practiced thoroughly.
Q4. Which reference books are best for Algebra?
Use NCERT for basics and RD Sharma for advanced practice.

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Conclusion
Algebra is a critical part of the CBSE Class 10 Math Board Exam 2025, offering ample opportunities to score well. By mastering key topics, practicing important questions, and following effective preparation strategies, students can confidently tackle this unit.
Start your Algebra preparation today, stay consistent, and you’ll be on your way to achieving excellent marks!