Class 10 Maths NCERT book pdf - Free PDF Download - eSaral

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Class 10 Maths NCERT book pdf - Free PDF Download - eSaral

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Why the NCERT Class 10 Maths Book Is Essential 

The NCERT Class 10 Maths book serves two critical purposes. First, it is the primary source for CBSE Class 10 board exams — every board question is either directly from NCERT exercises or based on NCERT concepts. Second, it builds the mathematical foundation required for JEE Main, NEET, and other competitive exams at the Class 11–12 level.

Chapters like Trigonometry, Coordinate Geometry, and Polynomials from Class 10 NCERT appear directly in the JEE Main syllabus. A student who masters Class 10 NCERT Maths does not just pass boards — they get a head start on competitive exam preparation.

💡 Expert Tip by eSaral IIT Faculty: "Class 10 Maths is not just about passing boards. Chapters like Coordinate Geometry (Ch. 7), Quadratic Equations (Ch. 4), and Trigonometry (Ch. 8–9) are direct prerequisites for JEE Math. Master these chapters at the NCERT level before moving to advanced problems."


NCERT Class 10 Maths Syllabus 2025 — Chapter Overview 

The NCERT Class 10 Maths book has 15 chapters divided across 6 major units. Here is the complete chapter-wise breakdown with unit mapping and board exam weightage:

Unit

Chapter No.

Chapter Name

Board Marks Weightage

Number Systems

1

Real Numbers

6

Algebra

2

Polynomials

20

Algebra

3

Pair of Linear Equations in Two Variables

20

Algebra

4

Quadratic Equations

20

Algebra

5

Arithmetic Progressions

20

Geometry

6

Triangles

15

Coordinate Geometry

7

Coordinate Geometry

6

Trigonometry

8

Introduction to Trigonometry

12

Trigonometry

9

Some Applications of Trigonometry

12

Geometry

10

Circles

15

Geometry

11

Constructions

15

Mensuration

12

Areas Related to Circles

10

Mensuration

13

Surface Areas and Volumes

10

Statistics & Probability

14

Statistics

11

Statistics & Probability

15

Probability

11

Note: Weightage is approximate based on CBSE Class 10 Maths standard paper pattern. Official weightage may vary — always refer to the CBSE official website for the current year's blueprint.


All 15 chapters of NCERT Class 10 Maths are available as free PDF downloads. Click on each chapter to download:

Chapter

Chapter Name

Key Topics Covered

Chapter 1

Real Numbers

Euclid's Division Lemma, HCF, LCM, Irrational Numbers

Chapter 2

Polynomials

Zeros of a polynomial, Division algorithm, Relationship between zeroes and coefficients

Chapter 3

Pair of Linear Equations in Two Variables

Graphical method, Substitution, Elimination, Cross-multiplication

Chapter 4

Quadratic Equations

Factorisation, Completing the square, Quadratic formula, Discriminant

Chapter 5

Arithmetic Progressions

nth term, Sum of n terms, Applications

Chapter 6

Triangles

Similar triangles, Basic Proportionality Theorem, Pythagoras Theorem

Chapter 7

Coordinate Geometry

Distance formula, Section formula, Area of a triangle

Chapter 8

Introduction to Trigonometry

Trigonometric ratios, Identities and Values of standard angles

Chapter 9

Some Applications of Trigonometry

Heights and distances, Angle of elevation, Angle of depression

Chapter 10

Circles

Tangent to a circle, Number of tangents from a point

Chapter 11

Constructions

Division of a line segment, Tangent construction

Chapter 12

Areas Related to Circles

Area of sector, Area of segment, Combinations

Chapter 13

Surface Areas and Volumes

Combinations of solids, Conversion of solids, Frustum

Chapter 14

Statistics

Mean, Median, Mode of grouped data, Cumulative frequency

Chapter 15

Probability

Classical probability, Complement, Event types


NCERT Solutions for Class 10 — Subject-Wise List 

Along with the Maths book PDF, eSaral provides step-by-step NCERT Solutions for all Class 10 subjects. These solutions follow the CBSE marking scheme so students understand exactly how to write answers in board exams.

NCERT Solutions for Class 10 Maths

Full chapter-wise solutions with detailed explanations — View Class 10 Maths Solutions

NCERT Solutions for Class 10 Science

Physics, Chemistry, and Biology chapters covered with diagram support.

NCERT Solutions for Class 10 English

Book

Chapters Covered

First Flight

All prose and poetry chapters

Footprints Without Feet

All supplementary reader chapters

NCERT Solutions for Class 10 Hindi

Book

Details

Kshitij

Main Hindi course book

Sparsh

Second language course

Sanchayan

Supplementary reader

Kritika

Second language supplementary

NCERT Solutions for Class 10 Social Science

History, Geography, Political Science, and Economics — all chapters with map-based answers.


How to Study NCERT Class 10 Maths Effectively 

Is NCERT Enough for the Class 10 Maths Board Exam?

For CBSE Class 10 boards, NCERT is sufficient for 80% of the paper. Every theorem, formula, and example type tested in board exams appears in the NCERT. The remaining 20% comes from application-based questions, which become easy once NCERT examples and exercises are mastered completely.

Follow this step-by-step approach for each chapter:

Step 1 — Read the theory section without skipping examples. Each solved example in NCERT introduces a question type you will see in your exam.

Step 2 — Solve all Exercise questions in order. Do not skip any. NCERT exercises are graded in difficulty — early questions build the technique, later questions test application.

Step 3 — Solve NCERT Exemplar problems once the exercises are done. Exemplar problems are slightly harder and are now regularly appearing in CBSE boards.

Step 4 — Attempt the previous year's CBSE board papers for that chapter. Identify question patterns and time yourself.

Step 5 — Revise formulas and theorems two days before your exam using revision notes — not full chapters.

💡 Expert Tip by eSaral IIT Faculty: "The most common mistake in Class 10 Maths boards is skipping NCERT proofs. Theorems like the Pythagoras Theorem proof (Ch. 6) and the proof of irrationality of √2 (Ch. 1) carry direct marks in board exams. Never skip them."

Chapter-Wise Difficulty and Time Allocation

Chapter

Difficulty (Board Exam)

Recommended Study Time

Real Numbers

Easy

3–4 hours

Polynomials

Easy–Medium

4–5 hours

Linear Equations

Medium

5–6 hours

Quadratic Equations

Medium

5–6 hours

Arithmetic Progressions

Medium

4–5 hours

Triangles

Medium–Hard

7–8 hours

Coordinate Geometry

Medium

4–5 hours

Trigonometry (Ch. 8)

Medium

5–6 hours

Applications of Trigonometry

Easy–Medium

3–4 hours

Circles

Medium

4–5 hours

Constructions

Easy

2–3 hours (practice-heavy)

Areas Related to Circles

Medium

4–5 hours

Surface Areas & Volumes

Medium

5–6 hours

Statistics

Easy–Medium

4–5 hours

Probability

Easy

2–3 hours

Frequently Asked Questions

How can I download the NCERT Class 10 Maths book PDF chapter-wise?

NCERT Class 10 Maths book PDF is available for free download chapter-wise from the official NCERT website (ncert.nic.in) and from eSaral's resource section. Each chapter can be downloaded individually so students can access specific chapters without downloading the full book.

Which chapters are in NCERT Class 10 Maths?

NCERT Class 10 Maths has 15 chapters: Real Numbers, Polynomials, Pair of Linear Equations, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Applications of Trigonometry, Circles, Constructions, Areas Related to Circles, Surface Areas and Volumes, Statistics, and Probability.

Is NCERT enough for Class 10 Maths board exam?

Yes, NCERT is sufficient for 80% of the CBSE Class 10 Maths board exam. All exercises, examples, and theorems in NCERT must be completed thoroughly. For the remaining 20%, students should practice NCERT Exemplar problems and previous year CBSE board papers, which include application-based questions.

Which is the most important chapter in NCERT Class 10 Maths for boards?

Algebra chapters — Quadratic Equations, Arithmetic Progressions, and Pair of Linear Equations — carry the highest combined weightage (approximately 20 marks) in CBSE Class 10 boards. Triangles and Trigonometry are also high-weightage chapters. Together, these five chapters account for nearly 60% of the paper.

How many exercises are in the NCERT Class 10 Maths?

NCERT Class 10 Maths has approximately 40 exercises across 15 chapters, plus optional exercises in some chapters. Each chapter also contains solved examples that are as important as the exercises for board exam preparation. Completing all exercises typically takes 150–180 hours of focused study.

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