Class 10 CBSE Maths Most Important Questions
Preparing for the CBSE Class 10 Maths Board Exam requires more than just completing textbook exercises. Students should practise a variety of question types, strengthen their understanding of key concepts, revise important formulas, and learn to present clear, step-by-step solutions in the examination. This page provides a carefully selected collection of Class 10 Maths Most Important Questions to help students focus their preparation on important concepts, exam-oriented question patterns, and topics that require extra practice.
The questions included here are useful for revision, exam practice, school examinations, pre-board examinations, and CBSE Board Exam preparation.
Why Practise Important Questions for Class 10 Maths?
The Class 10 Maths syllabus contains several chapters and a wide variety of concepts. Students may find it difficult to revise everything repeatedly, especially when the examination is approaching. Practising carefully selected questions can help students identify the concepts they need to revise and improve their problem-solving skills.
These important questions can help you:
- revise important concepts chapter by chapter
- practise different types of mathematical problems
- strengthen your understanding of formulas and theorems
- identify common mistakes
- improve calculation accuracy
- develop confidence in solving board-level questions
- practise questions within a limited amount of time
- prepare for different question formats asked in examinations
Class 10 Maths Important Questions Chapter-wise
The questions on this page can be organised according to the CBSE Class 10 Mathematics syllabus. Chapter-wise practice makes revision easier because students can concentrate on one topic at a time.
1. Real Numbers
Important questions from Real Numbers generally involve concepts such as Euclid’s division algorithm, fundamental theorem of arithmetic, HCF and LCM, irrational numbers, and decimal representations of rational numbers.
Students should pay particular attention to questions that require a proper mathematical proof or application of the relationship between HCF and LCM.
Class 10 Maths Most Important Questions Chapter 1 Real Numbers
2. Polynomials
This chapter focuses on zeroes of a polynomial and the relationship between its zeroes and coefficients. Students should practise questions involving quadratic polynomials, finding unknown coefficients, and verifying relationships between zeroes and coefficients.
Class 10 Maths Most Important Questions Chapter 2 Polynomials
3. Pair of Linear Equations in Two Variables
Students should practise graphical and algebraic methods for solving pairs of linear equations. Questions involving unique solution, no solution, and infinitely many solutions are particularly important.
Word problems based on ages, numbers, income, expenditure, and other real-life situations can also require careful practice.
Class 10 Most Important Questions Chapter 3 Pair of Linear Equations
4. Quadratic Equations
Important questions include solving quadratic equations by factorisation and the quadratic formula, determining the nature of roots, and applying quadratic equations to word problems.
Class 10 Maths Chapter 4 Quadratic Equations Most Important Questions
5. Arithmetic Progressions
Questions from Arithmetic Progressions commonly involve the nth term, sum of the first n terms, finding missing terms, and solving problems based on real-life situations.
Students should understand the formulas rather than memorising them without knowing their application.
Class 10 Maths Chapter 5 Arithmetic Progressions Most Important Questions
6. Triangles
This chapter requires a strong understanding of similarity and theorems related to triangles. Students should practise proof-based questions as well as numerical applications of similarity.
7. Coordinate Geometry
Important questions include finding the distance between two points, the coordinates of a point dividing a line segment in a given ratio, and the area of a triangle using coordinates.
Accuracy while substituting values in formulas is especially important in this chapter.
8. Introduction to Trigonometry
Students should revise trigonometric ratios and their values for standard angles. Questions requiring the use of trigonometric identities and relationships between different ratios should also be practised.
9. Some Applications of Trigonometry
Questions based on heights and distances require students to translate a given situation into a suitable right triangle before applying trigonometric ratios.
Students should practise drawing a clear diagram before beginning the calculation.
10. Circles
Important questions include theorems related to tangents and their applications. Students should understand the reasoning behind the theorems so that they can use them correctly in different situations.
11. Areas Related to Circles
Students should practise questions involving sectors, segments, circumference, and area of circles. Questions combining more than one geometrical figure are also useful for examination preparation.
12. Surface Areas and Volumes
This chapter contains questions involving combinations of solids and conversion of one solid into another. Students should carefully identify the dimensions and select the appropriate formula.
13. Statistics
Students should practise questions involving mean, median, and mode for grouped data. Particular attention should be given to questions where a missing value or frequency has to be determined.
14. Probability
Probability questions require students to understand the relationship between favourable outcomes and total possible outcomes. Practice is important because even simple-looking questions can involve careful interpretation of the given information.
How to Use These Important Questions
Simply reading the questions is not enough. Students should attempt each question independently before checking the solution.
A useful revision method is:
Read → Think → Solve → Check → Correct → Revise
First, read the question carefully and identify what is given and what has to be found. Try to solve it without looking at the answer. After completing the solution, compare your working with the provided solution and identify any mistakes.
If you are unable to solve a question, don’t immediately memorise the solution. First understand which concept or formula is required and then attempt the question again.
Class 10 Maths Questions with Video Solutions
For students who prefer learning through explanations, selected questions on this page are also supported by step-by-step video solutions.
The videos can help you understand:
- how to start a question
- which formula or theorem to use
- how to write the solution step by step
- how to avoid common mistakes
- how to present the final answer properly
Students can first attempt the question themselves and then watch the corresponding video solution to compare their method.
Tips for CBSE Class 10 Maths Preparation
For effective preparation, don’t wait until the final weeks before the examination to start practising important questions.
Try to follow a regular routine:
- Complete the basic concepts first.
- Revise important formulas regularly.
- Practise NCERT questions carefully.
- Solve important questions without looking at the solution.
- Practise previous-year and sample-paper questions.
- Review questions you got wrong.
- Take timed practice tests.
- Work on your presentation and calculation accuracy.
Remember that an important question is not necessarily one that will appear exactly as it is in the examination. The same mathematical concept can be tested in a different form. Therefore, focus on understanding the concept and the method of solving the problem, rather than memorising particular answers.
Prepare Smartly for the Maths Board Exam
The best preparation strategy combines conceptual understanding, regular practice, revision, and examination-style questions. Use the important questions on this page as a revision resource along with your NCERT textbook, class notes, sample papers, and previous-year question papers.
Keep practising regularly, mark the questions that you find difficult, and return to them during revision. With consistent practice and a clear understanding of concepts, you can approach the Class 10 CBSE Maths examination with greater confidence.
