Class 10 Maths — NCERT

NCERT is the NCERT-prescribed textbook for Class 10 Maths in the CBSE curriculum. It contains 16 chapters covering the complete syllabus. BrainWeave offers free AI-powered solutions for every chapter — ask any question by voice or text, in Hindi or English, and get a personalized step-by-step explanation.

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What you'll study in NCERT

Across 16 chapters, Class 10 Maths introduces key concepts including The Fundamental Theorem of Arithmetic, Prime Factorization Method, HCF by Prime Factorization, LCM by Prime Factorization, Definition and Degree of Polynomials, Value and Zeroes of a Polynomial, Geometrical Meaning of Zeroes, Number of Zeroes from a Graph, Forming a Pair of Linear Equations from Word Problems, Graphical Method of Solving Linear Equations, Graphical Interpretation of Solutions, Consistency and Inconsistency of Linear Equations, and more. Every chapter below has its own page with a full topic breakdown, practice questions, fun facts, and a free AI tutor that explains each concept in Hindi or English, by voice or text.

All Chapters

Chapter 1

Chapter 1: REAL NUMBERS

The Fundamental Theorem of Arithmetic · Prime Factorization Method · HCF by Prime Factorization · LCM by Prime Factorization

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Chapter 2

Chapter 2: POLYNOMIALS

Definition and Degree of Polynomials · Value and Zeroes of a Polynomial · Geometrical Meaning of Zeroes · Number of Zeroes from a Graph

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Chapter 3

Chapter 3: PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

Forming a Pair of Linear Equations from Word Problems · Graphical Method of Solving Linear Equations · Graphical Interpretation of Solutions · Consistency and Inconsistency of Linear Equations

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Chapter 4

Chapter 4: QUADRATIC EQUATIONS

Definition and Standard Form of Quadratic Equations · Representing Word Problems as Quadratic Equations · Identifying Quadratic Equations · Concept of Roots and Solutions

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Chapter 5

Chapter 5: ARITHMETIC PROGRESSIONS

Defining an Arithmetic Progression (AP) · First Term (a) and Common Difference (d) · General Form of an AP · Verifying if a Sequence is an AP

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Chapter 6

Chapter 6: TRIANGLES

Distinguishing Similar and Congruent Figures · Conditions for Similarity of Polygons · Application of Similarity Conditions · Introduction to Similarity of Triangles

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Chapter 7

Chapter 7: Coordinate Geometry

Review of Cartesian Coordinate System · The Distance Formula · Distance of a Point from the Origin · Application: Identifying Types of Triangles

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Chapter 8

Chapter 8: TRIGONOMETRY

Identifying Sides Relative to an Acute Angle · The Six Trigonometric Ratios · Reciprocal Identities · Quotient Identities

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Chapter 9

Chapter 9: SOME APPLICATIONS OF TRIGONOMETRY

Line of Sight, Angle of Elevation, and Angle of Depression · Modeling Word Problems with Right-Angled Triangles · Solving Problems with a Single Right-Angled Triangle · Problems with Two Angles from a Single Point

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Chapter 10

Chapter 10: CIRCLES

Tangent, Secant, and Non-intersecting Lines · Tangent as a Special Case of a Secant · Theorem 10.1: Tangent-Radius Perpendicularity · Number of Tangents from a Point

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Chapter 11

Chapter 11: AREAS RELATED TO CIRCLES

Sectors and Segments of a Circle · Formula for Area of a Sector · Formula for Length of an Arc · Calculating Area of a Segment

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Chapter 12

Chapter 12: SURFACE AREAS AND VOLUMES

Understanding Surface Area of Combined Solids · Surface Area of Cylinder-Hemisphere Combinations · Surface Area of Cone-Hemisphere Combinations · Surface Area of Solids with Surmounted Shapes

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Chapter 13

Chapter 13: STATISTICS

Mean of Grouped Data by Direct Method · Mean of Grouped Data by Assumed Mean Method · Mean of Grouped Data by Step-Deviation Method · Concept of Class Mark

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Chapter 14

Chapter 14: PROBABILITY

Theoretical (Classical) Probability · Complementary Events · Impossible and Sure Events · Range of Probability Values

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Chapter 15

Chapter 15: PROOFS IN MATHEMATICS

Identifying Mathematical Statements · Verifying Truth Value of Statements · Restating Statements with Conditions · Principles of Deductive Reasoning

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Chapter 16

Chapter 16: MATHEMATICAL MODELLING

Concept of Mathematical Modelling · The Five Stages of Mathematical Modelling · Role of Assumptions and Validation · Modelling using Ratio and Proportion

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Frequently Asked Questions

How many chapters are in Class 10 Maths?

NCERT for Class 10 Maths has 16 chapters. All are covered by BrainWeave's free AI tutor.

Is BrainWeave's Class 10 Maths content free?

Yes. The free Spark plan covers all chapters with daily message limits suitable for homework. Premium features unlock with your own free Gemini API key.

Can I ask Maths questions in Hindi?

Yes — both voice and text chat support Hindi, English, and Hinglish.

Are these solutions aligned with the latest CBSE syllabus?

Yes, BrainWeave follows the current NCERT syllabus and is updated as the syllabus changes.

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