NCERT Class 10 Maths Solutions
NCERT Class 10 Maths Solutions For 2027 Board Exam
| Chapter No. | NCERT Books Questions with Solutions |
|---|---|
| Chapter 1 | Solution |
| Chapter 2 | Solution |
| Chapter 3 | Solution |
| Chapter 4 | Solution |
| Chapter 5 | Solution |
| Chapter 6 | Solution |
| Chapter 7 | Solution |
| Chapter 8 | Solution |
| Chapter 9 | Solution |
| Chapter 10 | Solution |
| Chapter 11 | Solution |
| Chapter 12 | Solution |
| Chapter 13 | Solution |
| Chapter 14 | Solution |
| Chapter 15 | Solution |
The official Class 10 Mathematics NCERT Textbook is published by the National Council of Educational Research and Training and is aligned with the rationalised CBSE syllabus. The NCERT Class 10 Maths textbook for the 2026-27 session has 14 chapters in total, covering Real Numbers to Probability. Students can freely download it from ncert.nic.in, and it is the core textbook for both CBSE Mathematics Standard (041) and Mathematics Basic (241). The theory paper is worth 80 marks, with 20 marks for internal assessment.
The NCERT Class 10 Mathematics textbook covers seven areas: Number Systems, Algebra, Coordinate Geometry, Geometry, Trigonometry, Mensuration, and Statistics & Probability. Algebra carries the maximum weightage (20 of 80), followed by Geometry (15) and Trigonometry (12). Students who wish to score 95+ in the boards can follow the sequence of study material: first the NCERT exercises, then NCERT Exemplar, Oswaal CBSE Sample Papers, and marking schemes for exam-style practice.

What Are the NCERT Books for Class 10 Maths?
The official textbook is titled Mathematics Textbook for Class 10, published by the National Council of Educational Research and Training (NCERT). It is available in English, Hindi, and Urdu, and students can either buy it from the stores or can download the PDF from the website.
The NCERT maths book for Class 10 follows the CBSE curriculum and introduces mathematical concepts through a structured approach, allowing students to understand formulas, methods, and their applications. It further helps students with chapter-wise explanations, examples, diagrams, and exercises. The textbook is a significant resource for both Mathematics Standard and Mathematics Basic students.
Key details of the NCERT Class 10 Maths Textbook
The NCERT Class 10 Maths textbook for the 2026-27 academic session provides the prescribed content for students preparing for their CBSE Mathematics board examination. Here’s an overview of the textbook, including its publishing authority, chapter count, available formats, and much more.
|
Particulars |
Details |
|
Book Name |
Mathematics–Textbook for Class X |
|
Publishing Authority |
National Council of Educational Research and Training (NCERT) |
|
Class |
10 |
|
Subject |
Mathematics |
|
Academic Session |
2026-27 |
|
Number of Chapters |
14 |
|
Available Formats |
Printed textbook and chapter-wise PDF |
|
Medium |
English and Hindi |
|
Prescribed For |
CBSE Class 10 Mathematics |
Students should use the textbook corresponding to their academic session and refer to the latest CBSE syllabus to confirm which topics are included in the board examination. Prioritise solving all NCERT examples and exercises, as they help build conceptual clarity and give you confidence to score well in the boards.
How Many Chapters Are There in the NCERT Class 10 Maths Book?
NCERT Class 10 Maths textbook contains 14 chapters covering 7 broad areas mathematical areas: Number Systems, Algebra, Coordinate Geometry, Geometry, Trigonometry, Mensuration, and Statistics & Probability.
Here is the complete chapter-wise list:
|
CBSE Mathematics Unit |
NCERT Class 10 Maths Chapter Name |
Major Topics Covered |
|
Number Systems |
Real Numbers |
Fundamental Theorem of Arithmetic, irrational numbers |
|
Algebra |
Polynomials |
Zeroes of polynomials, relationship between zeroes and coefficients |
|
Algebra |
Pair of Linear Equations in Two Variables |
Graphical and algebraic methods, substitution and elimination |
|
Algebra |
Quadratic Equations |
Factorisation, quadratic formula, nature of roots |
|
Algebra |
Arithmetic Progression |
Common difference, nth term, sum of terms |
|
Geometry |
Triangles |
Similarity of triangles, theorems and their applications |
|
Coordinate Geometry |
Coordinate Geometry |
Distance formula, section formula, area of a triangle |
|
Trigonometry |
Introduction to Trigonometry |
Trigonometric ratios, identities and their applications |
|
Trigonometry |
Some Applications of Trigonometry |
Heights and distances |
|
Geometry |
Circles |
Tangents to a circle and related theorems |
|
Mensuration |
Areas Related to Circles |
Areas and perimeters of circles, sectors and segments |
|
Mensuration |
Surface Areas and Volumes |
Surface areas and volumes of three-dimensional solids |
|
Statistics & Probability |
Statistics |
Mean, median and mode of grouped data |
|
Statistics & Probability |
Probability |
Classical probability and simple events |
For excellent board exam preparation, refer to the updated CBSE Class 10 Mathematics syllabus to identify the high-weightage topics. Consistent revision and solving chapter-wise questions will help you boost accuracy, manage time, and sit for the boards with utmost confidence.
What Is the CBSE Class 10 Maths Syllabus 2026–27?
The CBSE Class 10 Mathematics syllabus for 2026-27 has been structured into seven units. Each unit carries certain weightage in the 80-mark theory examination. Understanding the unit-wise weightage will help students plan their studies, identify grey areas, and work on them accordingly. Let’s look at the CBSE Class 10 Maths Unit-Wise Weightage 2026-27:
|
Unit No. |
Unit Name |
Marks |
|
I |
Number Systems |
6 |
|
II |
Algebra |
20 |
|
III |
Coordinate Geometry |
6 |
|
IV |
Geometry |
15 |
|
V |
Trigonometry |
12 |
|
VI |
Mensuration |
10 |
|
VII |
Statistics and Probability |
11 |
|
Total |
Theory Examination |
80 |
Apart from the 80 marks allotted to the theory section, here are the remaining 20 marks allocated to internal assessment, making the subject total 100.
What Are the Most Important Chapters in NCERT Class 10 Maths?
Each chapter in the NCERT maths book Class 10 contributes to developing mathematical understanding and requires a different approach. There are chapters in the syllabus that demand additional practice because they involve multiple concepts, formulas, theorems, or problem-solving methods.
The following table highlights important areas students should focus on while preparing for the CBSE Class 10 Mathematics examination.
|
Chapter |
Important Topics to Practise |
Preparation Focus |
|
Real Numbers |
Fundamental Theorem of Arithmetic and proofs of irrationality |
Understand mathematical reasoning and proof-based questions. |
|
Polynomials |
Zeroes and relationship between zeroes and coefficients |
Practise finding zeroes and verifying relationships. |
|
Pair of Linear Equations |
Substitution, elimination and graphical methods |
Solve algebraic and situational problems. |
|
Quadratic Equations |
Factorisation, quadratic formula and discriminant |
Practise different methods of solving equations. |
|
Arithmetic Progressions |
nth term and sum of the first n terms |
Solve numerical and real-life application questions. |
|
Triangles |
Similarity and related theorems |
Understand proofs and apply them to problems. |
|
Coordinate Geometry |
Distance and section formula |
Practise coordinate-based numerical questions. |
|
Trigonometry |
Trigonometric ratios and identities |
Memorise standard values and practise identities. |
|
Circles |
Tangents and related theorems |
Understand geometric properties and theorem-based questions. |
|
Areas Related to Circles |
Area of sectors and segments |
Practise formula-based calculations. |
|
Surface Areas and Volumes |
Surface area and volume of solids |
Solve questions involving combinations of solids. |
|
Statistics |
Mean, median and mode |
Practise calculations and interpretation of grouped data. |
|
Probability |
Simple probability problems |
Understand outcomes and calculate probabilities accurately. |
These are preparation priorities which students keep in mind while preparing for the boards. Focus on strengthening mathematical concepts, memorising and applying formulas, practising NCERT examples, and revising important theorems regularly. Pay extra weightage to topics you find challenging and solve Oswaal CBSE Class 10 previous years’ questions to become familiar with diverse question formats.
What Is the Difference Between CBSE Class 10 Maths Basic and Standard?
CBSE offers two Mathematics levels in Class 10: Mathematics Basic (241) and Mathematics Standard (041). Both follow the prescribed Class 10 Mathematics syllabus, but their question papers differ in difficulty and the level of application expected.
Mathematics Basic is intended for students who do not plan to pursue Mathematics at the senior secondary level, while Mathematics Standard is designed for students who wish to continue studying Mathematics in Classes 11 and 12.
|
Basis of Comparison |
Mathematics Basic (241) |
Mathematics Standard (041) |
|
Target students |
Students who do not intend to pursue Mathematics in Classes 11 and 12 |
Students who wish to continue Mathematics in Classes 11 and 12 |
|
Syllabus |
Prescribed Class 10 Mathematics syllabus |
Prescribed Class 10 Mathematics syllabus |
|
Theory marks |
80 |
80 |
|
Internal Assessment |
20 |
20 |
|
Total Marks |
100 |
100 |
|
Question Difficulty |
Generally less challenging |
Generally more challenging |
|
Focus |
Fundamental understanding and application of concepts |
Deeper application, analytical thinking and problem-solving |
Which NCERT book should Basic and Standard students use?
Both groups study the prescribed NCERT Class 10 Mathematics textbook. However, students should practise using the sample papers and additional question banks designed for their respective examination levels.
For Mathematics Standard, students should pay particular attention to multi-step problems, application-based questions, and higher-order thinking. Mathematics Basic students should focus on conceptual clarity, fundamental calculations, and accurate application of formulas.
How to Download the NCERT Class 10 Maths Book PDF?
Students can download the NCERT Class 10 Maths book PDF free of cost from the official NCERT website. The textbook is available as a complete book as well as individual chapter PDFs, making it convenient to study online or access chapters offline.
Follow these steps to download the NCERT Class 10 Mathematics PDF:
-
Visit the official NCERT website at https://ncert.nic.in/.
-
Navigate to the Textbooks PDF (I–XII) section.
-
Select Class 10, the subject Mathematics, and your preferred language.
-
Choose the textbook or the required chapter.
-
Open the PDF and select the download option to save it on your device.
Students can also access the official NCERT textbook directory here: https://ncert.nic.in/textbook.php. Students should ensure that they download the correct textbook edition and check the academic session before starting their preparation.
How Should Students Prepare for CBSE Class 10 Maths Using NCERT Books?
The NCERT Class 10 Mathematics textbook should be the starting point of board exam preparation. Students should understand each concept, practise the solved examples, and complete the prescribed exercises before moving to additional practice resources.
Here are five practical ways to prepare effectively:
1. Understand the Concepts Before Memorising Formulas
Mathematics requires conceptual understanding. Instead of memorising formulas without understanding their application, learn how they are derived and when they should be used.
2. Solve Every Prescribed NCERT Exercise
NCERT exercises provide structured practice for each chapter. Attempt questions independently before checking the solutions. Begin with basic equations and move to application-based problems, subsequently. Revisit questions that require multiple attempts, and keep revising them to avoid the last-minute panic.
3. Practise Diagrams, Graphs and Theorem-Based Questions
Chapters such as Triangles, Circles, Coordinate Geometry and Trigonometry require students to understand diagrams and mathematical representations. Practise drawing neat diagrams, labelling figures correctly, and writing logical steps while solving questions.
4. Solve CBSE Sample Papers
Once you have completed the prescribed NCERT chapters, attempt Oswaal CBSE Class 10 Mathematics Sample Papers 2027. These help students become familiar with the examination pattern, question formats, and time requirements. Through the sample papers, you can practice diverse question types, including Multiple-choice questions (MCQs), assertion-reason questions, short-answer & long-answer questions, case-study-based questions, and application-based numerical problems.
5. Analyse Mistakes and Revise Regularly
Completing a question paper is only one part of preparation. Students should also evaluate their performance to identify areas that need improvement.
To boost your board preparation, maintain a mistake tracker covering incorrect calculations, formula errors, incomplete steps, and concepts that need revision. Reattempt these questions after revising the relevant topics. Studying this way will help you not only brush up on the basics but also give you ample time to practice the wrong questions and improve before D-day.
What Are the Best Additional Resources for Class 10 Maths Practice?
NCERT textbooks form the foundation of Mathematics preparation, but students can use additional resources to strengthen conceptual understanding, improve problem-solving skills, and become familiar with the CBSE examination pattern.
Here are some useful resources for Class 10 Maths preparation and how to use them effectively:
1. NCERT Exemplar for Class 10 Mathematics
NCERT Exemplar provides additional questions that help students develop a deeper understanding of mathematical concepts. It is particularly useful for practising application-based and higher-order thinking questions.
2. CBSE Class 10 Sample Question Papers
Official CBSE Sample Question Papers (SQPs) help students understand the latest examination pattern, question formats, section-wise structure, and marks distribution. Practice MCQs, competency-based questions, case studies, and descriptive answers. Once done, compare your responses with the official marking scheme to prepare for what is expected from the examiners.
3. CBSE Marking Schemes
The official CBSE Marking Schemes give students an idea about how marks are allocated to different questions. They help students understand the expected answer format and the significant steps required to solve numerical and descriptive questions.
4. Previous Years' Question Papers
Previous years' question papers provide additional practice and familiarise students with the style of CBSE board examination questions. They also help students understand how mathematical concepts are tested through different question formats.
5. Class 10 Mathematics Question Banks
Question banks offer organised practice across chapters and topics. They are useful for students who want to attempt more questions after completing NCERT exercises.
For structured practice, students can also refer to Oswaal CBSE Class 10 Mathematics Question Banks and Sample Papers. These provide additional opportunities to practise MCQs, competency-based questions, case-based questions, and descriptive problems alongside NCERT exercises.
Build a Strong Foundation with NCERT Class 10 Maths Books
The NCERT Class 10 Mathematics textbook provides a structured foundation for understanding mathematical concepts and preparing for the CBSE Board Exams 2027. From Algebra and Geometry to Trigonometry, Statistics and Probability, each chapter helps students develop essential problem-solving skills.
Start with the prescribed NCERT exercises, revise important formulas regularly, and practise different question formats through Oswaal sample papers and question banks. A consistent preparation routine, combined with regular self-evaluation, can help students approach the Mathematics examination with greater clarity and confidence.
Mathematics is a subject that you may find challenging and intimidating, but the right approach and consistent practice can help you outperform expectations and achieve your goals of 95+ in the boards…Good Luck!
FAQs
The NCERT Class 10 Mathematics textbook for the 2026–27 academic session contains 14 chapters, covering topics such as Real Numbers, Algebra, Geometry, Trigonometry, Mensuration, Statistics and Probability.
NCERT is the primary textbook prescribed for CBSE Class 10 Mathematics. Students should thoroughly understand its concepts and solve all prescribed exercises. They should also practise the official CBSE sample papers and use the marking schemes to become familiar with the examination pattern.
Students can download the NCERT Class 10 Mathematics textbook free of cost from the official NCERT website at https://ncert.nic.in/.
Yes. Both Mathematics Basic and Standard follow the prescribed Class 10 Mathematics syllabus and use the NCERT Mathematics textbook.
According to the 2026–27 unit-wise weightage, Algebra carries the highest weightage of 20 marks, followed by Geometry, which carries 15 marks, and Trigonometry, which carries 12 marks in the 80-mark theory examination.
Yes, students should solve NCERT Exemplar for Class 10 Maths if they wish to score 90% or above in the CBSE board examination. NCERT Exemplar provides further opportunities to understand mathematical concepts and practise challenging problems.
Students can improve their preparation by understanding concepts, completing NCERT exercises, revising formulas, practising numerical problems, and attempting timed sample papers. Analysing mistakes after every practice test is equally important.



