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Mathematics for CLASS 10

The Mathematics syllabus for CLASS 10 comprises 85 crucial chapters that form the backbone of your preparation. Mastering these concepts is absolutely essential for securing a top rank in your upcoming examinations, as Mathematics often acts as the high-scoring differentiator between top-tier aspirants.

Preparing for Mathematics requires a dual approach: building an unshakeable theoretical foundation and developing rapid problem-solving intuition. For CLASS 10 2026, the exam pattern suggests a move towards more application-based questions that test how well you can apply basic principles to complex, multi-layered scenarios. Our comprehensive, AI-driven guide breaks down each chapter into its core concepts, providing you with targeted practice questions and structured explanations.

Weightage Analysis

Historical data from previous CLASS 10 papers shows that Mathematics contributes approximately 25% of the total marks. Focusing on high-yield chapters first can boost your score by up to 40% in the final attempt.

Revision Strategy

We recommend a 3-pass revision for Mathematics: first to understand concepts, second to solve level-1 PYQs, and a final pass for timed mock tests to build exam-day stamina.

Whether you are beginning your Mathematics preparation journey from scratch or looking to solidify your understanding of advanced subtopics, this hub serves as your ultimate resource. Each of the 85 chapters listed below has been meticulously analyzed for its exam weightage and difficulty level. Explore the chapter-wise index to dive directly into categorized Previous Year Questions (PYQs) and mock assessments tailored specifically for the CLASS 10 pattern.

Every topic in Mathematics requires a unique approach. While some chapters rely heavily on memorization and theoretical understanding, others demand rigorous problem-solving and the application of complex formulas. Using our advanced tracking system, you can monitor your proficiency across all 85 chapters, identify your weakest areas, and generate customized mock tests that focus entirely on bridging your knowledge gaps. Regular practice using these curated resources guarantees a massive improvement in your speed, accuracy, and overall confidence when approaching the Mathematics section of the CLASS 10.

Chapter-wise Syllabus

85 Modules

Sets

  • •Types of Sets
  • •Venn Diagrams
  • •Operations
Class 113 Concepts

Relations and Functions

  • •Types of Relations
  • •Domain/Range
  • •Functions
Class 113 Concepts

Trigonometric Functions

  • •Identities
  • •Equations
  • •Graphs
Class 113 Concepts

Principle of Mathematical Induction

  • •Induction Steps
  • •Applications
Class 112 Concepts

Complex Numbers

  • •Modulus
  • •Argument
  • •Polar Form
  • + 1 more concepts
Class 114 Concepts

Linear Inequalities

  • •Algebraic Solutions
  • •Graphical Solutions
Class 112 Concepts

Permutations and Combinations

  • •Factorial
  • •Arrangements
  • •Selections
Class 113 Concepts

Binomial Theorem

  • •Pascal's Triangle
  • •General Term
  • •Expansion
Class 113 Concepts

Sequences and Series

  • •AP
  • •GP
  • •AM-GM
  • + 1 more concepts
Class 114 Concepts

Straight Lines

  • •Slope
  • •Point-Slope
  • •Two-Point
  • + 1 more concepts
Class 114 Concepts

Conic Sections

  • •Circle
  • •Parabola
  • •Ellipse
  • + 1 more concepts
Class 114 Concepts

3D Geometry (Intro)

  • •Coordinates
  • •Distance Formula
Class 112 Concepts

Limits and Derivatives

  • •Standard Limits
  • •First Principle
  • •Differentiation
Class 113 Concepts

Mathematical Reasoning

  • •Statements
  • •Logical Operations
Class 112 Concepts

Statistics

  • •Mean Deviation
  • •Variance
  • •Standard Deviation
Class 113 Concepts

Probability (Intro)

  • •Random Experiments
  • •Events
  • •Axiomatic Probability
Class 113 Concepts

Relations and Functions (12)

  • •Types
  • •Binary Operations
  • •Inverse
Class 123 Concepts

Inverse Trigonometric Functions

  • •Domain/Range
  • •Properties
  • •Graphs
Class 123 Concepts

Matrices

  • •Types
  • •Operations
  • •Transpose
  • + 1 more concepts
Class 124 Concepts

Determinants

  • •Properties
  • •Area of Triangle
  • •System of Equations
Class 123 Concepts

Continuity and Differentiability

  • •Continuity
  • •Chain Rule
  • •Mean Value Theorem
Class 123 Concepts

Application of Derivatives

  • •Tangent/Normal
  • •Monotonicity
  • •Maxima/Minima
Class 123 Concepts

Integrals

  • •Indefinite
  • •Definite Properties
  • •Area Under Curve
Class 123 Concepts

Application of Integrals

  • •Area bounded by curves
  • •Area of circle/ellipse
Class 122 Concepts

Differential Equations

  • •Order/Degree
  • •General/Particular Solution
  • •Linear DE
Class 123 Concepts

Vector Algebra

  • •Dot/Cross Product
  • •Projections
  • •Direction Cosines
Class 123 Concepts

Three Dimensional Geometry

  • •Lines
  • •Planes
  • •Shortest Distance
Class 123 Concepts

Linear Programming

  • •Optimization
  • •Constraints
  • •Graphical Method
Class 123 Concepts

Probability

  • •Conditional Probability
  • •Bayes Theorem
  • •Distributions
Class 123 Concepts

Real Numbers

  • •Euclid's Division
  • •Fundamental Theorem of Arithmetic
Class 102 Concepts

Polynomials

  • •Zeroes
  • •Division Algorithm
Class 102 Concepts

Pair of Linear Equations

  • •Substitution
  • •Elimination
  • •Cross-Multiplication
Class 103 Concepts

Quadratic Equations

  • •Roots
  • •Discriminant
  • •Nature of Roots
Class 103 Concepts

Arithmetic Progressions

  • •nth Term
  • •Sum of n Terms
Class 102 Concepts

Triangles

  • •Similarity
  • •Pythagoras Theorem
  • •BPT
Class 103 Concepts

Coordinate Geometry

  • •Distance Formula
  • •Section Formula
  • •Area of Triangle
Class 103 Concepts

Introduction to Trigonometry

  • •Ratios
  • •Identities
  • •Specific Angles
Class 103 Concepts

Applications of Trigonometry

  • •Heights and Distances
Class 101 Concepts

Circles

  • •Tangents
  • •Properties
Class 102 Concepts

Areas Related to Circles

  • •Sector
  • •Segment
Class 102 Concepts

Surface Areas and Volumes

  • •Combination of Solids
  • •Frustum
Class 102 Concepts

Statistics

  • •Mean
  • •Median
  • •Mode
  • + 1 more concepts
Class 104 Concepts

Probability

  • •Events
  • •Outcomes
Class 102 Concepts

Number Systems

  • •Irrational Numbers
  • •Real Numbers
Class 92 Concepts

Polynomials

  • •Remainder Theorem
  • •Factor Theorem
Class 92 Concepts

Linear Equations in Two Variables

  • •Graphing
  • •Solutions
Class 92 Concepts

Lines and Angles

  • •Pairs of Angles
  • •Parallel Lines
Class 92 Concepts

Triangles

  • •Congruence
  • •Inequalities
Class 92 Concepts

Quadrilaterals

  • •Types
  • •Properties
  • •Mid-point Theorem
Class 93 Concepts

Circles

  • •Chords
  • •Arcs
  • •Cyclic Quadrilaterals
Class 93 Concepts

Heron's Formula

  • •Area of Triangle
Class 91 Concepts

Statistics

  • •Bar Graphs
  • •Histograms
  • •Frequency Polygons
Class 93 Concepts

Rational Numbers

  • •Properties
  • •Representation
Class 82 Concepts

Linear Equations in One Variable

  • •Solving Equations
  • •Applications
Class 82 Concepts

Understanding Quadrilaterals

  • •Polygons
  • •Types of Quadrilaterals
Class 82 Concepts

Data Handling

  • •Pie Charts
  • •Probability
Class 82 Concepts

Squares and Square Roots

  • •Finding Roots
  • •Properties
Class 82 Concepts

Cubes and Cube Roots

  • •Finding Cube Roots
Class 81 Concepts

Comparing Quantities

  • •Percentage
  • •Profit/Loss
  • •Interest
Class 83 Concepts

Algebraic Expressions

  • •Addition/Subtraction
  • •Identities
Class 82 Concepts

Mensuration

  • •Area
  • •Volume
  • •Surface Area
Class 83 Concepts

Exponents and Powers

  • •Laws of Exponents
Class 81 Concepts

Factorisation

  • •Methods
  • •Division
Class 82 Concepts

Integers

  • •Properties
  • •Operations
Class 72 Concepts

Fractions and Decimals

  • •Multiplication
  • •Division
Class 72 Concepts

Data Handling

  • •Mean
  • •Median
  • •Mode
Class 73 Concepts

Simple Equations

  • •Solving
  • •Word Problems
Class 72 Concepts

Lines and Angles

  • •Complementary
  • •Supplementary
Class 72 Concepts

The Triangle and its Properties

  • •Medians
  • •Altitudes
  • •Exterior Angle
Class 73 Concepts

Congruence of Triangles

  • •Criteria (SSS, SAS, ASA, RHS)
Class 71 Concepts

Comparing Quantities

  • •Ratios
  • •Percentage
Class 72 Concepts

Rational Numbers

  • •Operations
  • •Number Line
Class 72 Concepts

Perimeter and Area

  • •Square
  • •Rectangle
  • •Circle
Class 73 Concepts

Algebraic Expressions

  • •Terms
  • •Factors
  • •Coefficients
Class 73 Concepts

Knowing Our Numbers

  • •Large Numbers
  • •Estimation
Class 62 Concepts

Whole Numbers

  • •Properties
  • •patterns
Class 62 Concepts

Playing with Numbers

  • •Factors
  • •Multiples
  • •HCF/LCM
Class 63 Concepts

Basic Geometrical Ideas

  • •Points
  • •Lines
  • •Curves
Class 63 Concepts

Integers

  • •Number Line
  • •Addition/Subtraction
Class 62 Concepts

Fractions

  • •Types
  • •Operations
Class 62 Concepts

Decimals

  • •Place Value
  • •Operations
Class 62 Concepts

Data Handling

  • •Recording
  • •Organization
  • •Pictograph
Class 63 Concepts

Mensuration

  • •Perimeter
  • •Area
Class 62 Concepts

Algebra

  • •Variables
  • •Expressions
Class 62 Concepts

Ratio and Proportion

  • •Unitary Method
Class 61 Concepts

Expert Strategy for Mathematics

The Modern Preparation Approach

Mastering Mathematics in the 2026 cycle is not about how many books you read, but how many different types of problems you can recall during the exam. Our AI-driven analytics show that students who practice at least 15 questions per topic in Mathematics see a 40% improvement in mock test scores within just three weeks.

For CLASS 10, the difficulty curve of Mathematics has been steadily increasing. Concepts that were once considered 'advanced' are now part of the foundational set. To stay ahead, you must transition from passive reading to active testing. Our question bank for Mathematics includes both Previous Year Questions (PYQs) and AI-curated challenges that reflect the latest trends from NTA, UPSC, and other testing bodies.

Pro Tip: The MCQ Blitz

Try solving 20 Mathematics MCQs in exactly 20 minutes every morning. This builds the 'Internal Clock' needed for high-pressure exams like JEE or NEET.

Mastering the Syllabus

Every topic in the 85 chapters of Mathematics has a different 'Retainability Index'. For instance, theoretical sections need revision every 7 days, whereas calculation-heavy chapters need consistent daily practice to maintain speed.

Our platform uses your attempt history to create a 'Topic Heatmap'. If the AI notices you are taking more than 90 seconds for a specific type of Mathematics question, it will automatically flag that topic for a re-study session. This personalized loop ensures that your CLASS 10 preparation is always optimized and never redundant.

Cross-Subject Linkage

Success in Mathematics often unlocks better understanding in these related subjects: