Class 10 Maths Notes – Chapter-wise CBSE Revision
These class 10 maths notes cover every chapter in the NCERT textbook for this subject. There are 14 chapters in total, and this hub links to each set of revision notes so you can reach the right one without searching.
The NCERT book moves from number systems and algebra into geometry, trigonometry, mensuration, statistics, and probability. Whether you need the Fundamental Theorem of Arithmetic for tomorrow’s homework or the nth term formula for a unit test, this directory routes you straight to the material you need.
For a broader view of your subjects, see our Class 10 CBSE Notes hub, which organises every subject in the syllabus.
Chapter Directory: All 14 Class 10 Maths Chapters
Each chapter below has its own revision page. The directory shows what every chapter covers at a glance, so you can find your topic in one look.
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Chapter 1: Real Numbers — Covers the Fundamental Theorem of Arithmetic, finding HCF and LCM by prime factorisation, and the contradiction method for proving irrationality.
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Chapter 2: Polynomials — Explains degree, zeroes, and coefficients, the geometrical meaning of zeroes, and the relationship between zeroes and coefficients using the sum and product of zeroes formulas.
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Chapter 3: Pair of Linear Equations in Two Variables — Deals with graphical and algebraic solution methods, the difference between consistent, inconsistent, and dependent pairs, and the ratio test formula for checking consistency without graphing.
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Chapter 4: Quadratic Equations — Covers standard form, identifying a quadratic equation, the link between roots and polynomial zeroes, solving by factorisation, and setting up word problems.
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Chapter 5: Arithmetic Progressions — Moves from daily-life patterns to the definition of an AP, checking whether a list is an AP, the nth term formula, and finding a term from the end of an AP.
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Chapter 6: Triangles — Builds from congruence to similarity, checking the two conditions for similar polygons, the Basic Proportionality Theorem and its converse, and AAA, AA, SSS, and SAS similarity criteria.
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Chapter 7: Coordinate Geometry — Reviews abscissa, ordinate, and the plane, then builds the distance formula for finding the length between two points, along with all key definitions and symbol meanings.
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Chapter 8: Introduction to Trigonometry — Builds the six trigonometric ratios from naming the opposite, adjacent, and hypotenuse sides, shows how to find all ratios from one given ratio, and lists standard values from 0° to 90°.
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Chapter 9: Some Applications of Trigonometry — Applies ratios to heights and distances problems, defining the line of sight, angle of elevation, and angle of depression, including a two-triangle problem pattern.
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Chapter 10: Circles — Covers tangents, Theorem 10.1 on the existence of a tangent, and the number of tangents from a point on a circle, with all key definitions.
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Chapter 11: Areas Related to Circles — Breaks down sectors and segments, gives formulas for arc length and area of a sector, shows how to find the area of a segment, and walks through worked examples.
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Chapter 12: Surface Areas and Volumes — Deals with combined solids — tracking what stays and what disappears from surface area when two solids join — and simple addition for volume, with all essential formulas.
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Chapter 13: Statistics — Reviews three measures of central tendency, covers grouped mean using the direct, assumed mean, and step-deviation methods, locates the modal class for mode, and finds the median from cumulative frequency.
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Chapter 14: Probability — Moves from experiments to theory, covers equally likely outcomes and the core probability formula, types of events including complementary and impossible, and sample spaces for coins, dice, and cards.
How to Use These Maths Notes for Revision
| Ch | Chapter notes | Key topics covered |
|---|---|---|
| 1 | Real Numbers | What Real Numbers Class 10 Notes Cover · The Fundamental Theorem of Arithmetic · Finding HCF and LCM by Prime Factorisation |
| 2 | Polynomials | Polynomials Revision Notes: Degree, Zeroes, and Coefficients · Types of Polynomials and Meaning of a Zero · Geometrical Meaning of the Zeroes of a Polynomial |
| 3 | Pair of Linear Equations in Two Variables | What Is a Pair of Linear Equations in Two Variables? · Chapter Overview: Graphs, Ratios, and Algebra · Key Concepts: Consistent, Inconsistent, and Dependent Pairs |
| 4 | Quadratic Equations | What You Will Revise in Quadratic Equations · Standard Form and How to Spot a Quadratic Equation · Roots of a Quadratic Equation: Meaning and Link to Polynomial Zeroes |
| 5 | Arithmetic Progressions | What Is a Pattern? From Daily Life to Arithmetic Progressions · Arithmetic Progressions Class 10 Notes: Basic Definition · How to Check Whether a Given List Is an AP |
| 6 | Triangles | What This Chapter Builds On: From Congruence to Similarity · Similarity of Polygons: The Two Conditions You Must Check · Key Definitions and Formula Summary |
| 7 | Coordinate Geometry | Coordinate Geometry Basics: Abscissa, Ordinate and the Plane · Chapter Overview: What You Will Learn · Distance Formula: Finding Length Between Two Points |
| 8 | Introduction to Trigonometry | What Trigonometry Actually Does (Chapter Roadmap) · Naming the Sides: Opposite, Adjacent, Hypotenuse · The Six Trigonometric Ratios (Formulas Box) |
| 9 | Some Applications of Trigonometry | Heights and Distances: What This Chapter Adds · Line of Sight, Angle of Elevation and Depression · Choosing the Right Trigonometric Ratio |
| 10 | Circles | Circles Class 10 Notes: Introduction to Tangents · Chapter Overview: What You Will Revise · Existence of a Tangent and Theorem 10.1 |
| 11 | Areas Related to Circles | What This Chapter Covers and Why It Matters · Sector and Segment of a Circle: The Basic Parts · Key Formulas for Arc Length and Area of a Sector |
| 12 | Surface Areas and Volumes | Combining Basic Solids: The Core Idea of This Chapter · Surface Area of Combined Solids: What Stays and What Disappears · Volume of Combined Solids: Simple Addition |
| 13 | Statistics | From Class 9 Basics to Grouped Data: Why This Chapter Exists · Mastering Mean of Grouped Data: Direct, Assumed Mean, and Step-Deviation · Definitions Box: Key Statistical Terms in Chapter 13 |
| 14 | Probability | Probability Class 10 Notes: From Experiments to Theory · Equally Likely Outcomes and the Core Probability Formula · Types of Events: Elementary, Complementary, Impossible, Sure |
This hub is built for quick routing. The steps below show how to move from this directory to a finished revision session.
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Click your chapter from the directory above to open its notes page.
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Read the revision notes for the key definitions and formulas first. These are the building blocks for every question in the chapter.
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Work through the step-by-step solved examples with fresh numbers. Cover the solution, try the problem yourself, then check your working.
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Attempt the NCERT exercise questions for that chapter. The notes follow the NCERT chapter order, so the exercises match the flow of the notes.
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Use this hub before exams to revisit all 14 chapters quickly, or use it for daily homework to find the exact formula or definition you need.
If you are preparing for the board exam, start with the high-mark chapters like Triangles and Introduction to Trigonometry, then move to the shorter chapters. You can also check the official NCERT Class 10 Mathematics textbook on the NCERT website to cross-reference an exercise or a proof directly from the source.
What Is Inside Each Chapter Notes Page
Every chapter page in this hub follows the same structure, so you always know what value you are getting before you click.
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Key definitions — Every theorem, property, and term stated plainly, in the order the NCERT textbook presents them.
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Formula boxes — All formulas collected in one place. For example, Chapter 5 includes the nth term formula and finding a term from the end of an AP; Chapter 11 lists formulas for sector area and arc length.
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Step-by-step worked examples — Each chapter page solves problems with original numbers, not reused textbook examples. Chapter 8, for instance, shows how to find all six trigonometric ratios from one given ratio.
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Common mistakes — Notes flag the errors students make most often, such as confusing consistent and inconsistent pairs of equations (Chapter 3) or forgetting which surface area vanishes when two solids combine (Chapter 12).
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Links to NCERT exercises — Each page points you to the corresponding exercises so you can practice from the prescribed textbook.
Class 10 Maths Notes — Frequently Asked Questions
Are these Class 10 Maths notes based on the latest NCERT textbook?
Yes. The notes follow the current NCERT Mathematics textbook for Class 10 and cover all 14 chapters in the prescribed order. You can cross-reference any topic with the official textbook on the NCERT website.
How many chapters are in the Class 10 Mathematics NCERT book?
The NCERT Mathematics textbook for Class 10 has 14 chapters, starting with Real Numbers and ending with Probability. This hub links to revision notes for each one.
Which Class 10 Maths chapters carry the most weight in the board exam?
Chapters on Triangles, Introduction to Trigonometry, Surface Areas and Volumes, and Statistics typically carry significant marks weight in the CBSE board exam. However, the exact weight varies by year, so check the current CBSE marking scheme before planning your study schedule.
Can I use these notes for last-minute revision before the exam?
Yes. The notes are structured for quick scanning. Each page leads with definitions and formulas, followed by worked examples and common mistakes, so you can review an entire chapter in a short sitting.
Reference: NCERT textbooks (CBSE).