India — Maths
NCERT / CBSE
The CBSE maths curriculum follows the NCERT textbooks from Class 1 to Class 12. Each class has one prescribed textbook; chapters below match the NCERT book order. Upper-primary onwards is examined (Class 10 Board, Class 12 Board). State boards and ICSE broadly mirror the same topics with local sequencing.
128 topics — click any topic for a full virtual lesson with worked examples.
✓ Verified against the official syllabus. NCERT Mathematics textbooks (Classes 1–12) · CBSE syllabus (current rationalised).
Class 1
Class 1
Numbers up to 99, simple addition and subtraction, shapes, measurement and patterns.
Class 1 — Mathematics
- 1.→Numbers 1 to 99Counting · Before/after/between · Number names
- 2.→AdditionAdding to 20 · Putting together
- 3.→SubtractionTaking away · Within 20
- 4.→Shapes and SpaceFlat & solid shapes · Position words
- 5.→MeasurementLong/short, heavy/light · Comparing
- 6.→Patterns, Time & MoneyPatterns · Day & night · Coins
Class 2
Class 2
Numbers up to 1000, addition/subtraction with carrying, intro to multiplication, measurement and data.
Class 2 — Mathematics
- 1.→Numbers up to 1000Place value · Counting in tens/hundreds
- 2.→Addition & SubtractionWith regrouping · Word problems
- 3.→Introduction to MultiplicationRepeated addition · Tables of 2, 3, 4, 5, 10
- 4.→Shapes2D & 3D shapes · Edges & corners
- 5.→MeasurementLength, weight, capacity · Standard units intro
- 6.→Time, Money & DataClock · Currency · Pictographs
Class 3
Class 3
Numbers to 9999, four operations, fractions intro, geometry and data handling.
Class 3 — Mathematics
- 1.→Numbers up to 9999Place value · Comparing & ordering
- 2.→Addition & Subtraction4-digit, with regrouping
- 3.→MultiplicationTables to 10 · 2-digit × 1-digit
- 4.→DivisionEqual sharing · Division facts
- 5.→FractionsHalf, quarter, third · Parts of a whole
- 6.→GeometryLines, shapes · Symmetry intro
- 7.→MeasurementLength, weight, capacity, time
- 8.→Data HandlingPictographs · Tally marks
Class 4
Class 4
Large numbers, long multiplication/division, factors & multiples, fractions and decimals intro.
Class 4 — Mathematics
- 1.→Large NumbersUp to 6 digits · Place value, rounding
- 2.→Addition & SubtractionLarge numbers · Word problems
- 3.→MultiplicationBy 2- and 3-digit numbers
- 4.→DivisionLong division · Remainders
- 5.→Factors & MultiplesFactors · Multiples · HCF/LCM intro
- 6.→FractionsEquivalent fractions · Add/subtract like fractions
- 7.→Measurement & GeometryPerimeter · Angles · Circles
- 8.→Data HandlingBar graphs · Tables
Class 5
Class 5
Operations on large numbers, fractions & decimals, percentages intro, area & volume, data.
Class 5 — Mathematics
- 1.→Large Numbers & OperationsUp to crores · BODMAS intro
- 2.→Factors, Multiples, HCF & LCMPrime/composite · HCF & LCM
- 3.→FractionsAdd/subtract unlike · Multiply fractions
- 4.→DecimalsTenths/hundredths · Add/subtract decimals
- 5.→PercentagesPercent of a quantity · Link to fractions
- 6.→GeometryAngles · Shapes · Nets
- 7.→Area, Perimeter & VolumeArea of rectangles · Volume intro
- 8.→Data HandlingBar graphs · Average intro
Class 6
Class 6
Whole numbers, integers, fractions & decimals, basic geometry, mensuration, algebra and ratio.
Class 6 — Mathematics (NCERT)
- 1.→Knowing Our NumbersPlace value, large numbers · Estimation · Roman numerals
- 2.→Whole NumbersNumber line · Properties of operations
- 3.→Playing with NumbersFactors & multiples · Prime/composite · HCF & LCM
- 4.→Basic Geometrical IdeasPoints, lines, rays · Angles, polygons, circles
- 5.→Understanding Elementary ShapesMeasuring line segments & angles · Types of angles & triangles · 3D shapes
- 6.→IntegersNumber line · Addition & subtraction of integers
- 7.→FractionsProper/improper/mixed · Equivalent fractions · Add & subtract
- 8.→DecimalsPlace value · Add & subtract decimals
- 9.→Data HandlingPictographs · Bar graphs
- 10.→MensurationPerimeter · Area of rectangles & squares
- 11.→AlgebraVariables · Expressions · Simple equations
- 12.→Ratio and ProportionRatio · Proportion · Unitary method
Class 7
Class 7
Integers, rational numbers, simple equations, lines & angles, triangles, comparing quantities, algebra.
Class 7 — Mathematics (NCERT)
- 1.→IntegersMultiplication & division of integers · Properties
- 2.→Fractions and DecimalsMultiply & divide fractions · Operations on decimals
- 3.→Data HandlingMean, median, mode · Bar graphs · Chance & probability
- 4.→Simple EquationsSetting up equations · Solving · Applications
- 5.→Lines and AnglesComplementary/supplementary · Parallel lines & transversal
- 6.→The Triangle and its PropertiesAngle sum · Exterior angle · Pythagoras
- 7.→Congruence of TrianglesSSS, SAS, ASA, RHS
- 8.→Comparing QuantitiesPercentage · Profit & loss · Simple interest
- 9.→Rational NumbersNumber line · Operations on rational numbers
- 10.→Perimeter and AreaTriangles, parallelograms · Circles
- 11.→Algebraic ExpressionsTerms, like/unlike · Add & subtract expressions
- 12.→Exponents and PowersLaws of exponents · Standard form
- 13.→SymmetryLines of symmetry · Rotational symmetry
- 14.→Visualising Solid ShapesNets · Views of 3D shapes
Class 8
Class 8
Rational numbers, linear equations in one variable, quadrilaterals, squares/cubes, mensuration, factorisation.
Class 8 — Mathematics (NCERT)
- 1.→Rational NumbersProperties · Representation on number line
- 2.→Linear Equations in One VariableSolving equations · Variables on both sides · Word problems · +1 more
- 3.→Understanding QuadrilateralsPolygons · Angle sum · Properties of parallelograms
- 4.→Data HandlingFrequency tables · Pie charts · Probability
- 5.→Squares and Square RootsProperties of squares · Finding square roots
- 6.→Cubes and Cube RootsCubes · Cube roots by factorisation
- 7.→Comparing QuantitiesDiscount, tax · Compound interest
- 8.→Algebraic Expressions and IdentitiesMultiplication of expressions · Standard identities
- 9.→MensurationArea of trapezium/polygons · Surface area & volume of cuboid, cube, cylinder
- 10.→Exponents and PowersNegative exponents · Standard form
- 11.→Direct and Inverse ProportionsDirect proportion · Inverse proportion
- 12.→FactorisationCommon factors · Grouping · Identities · +1 more
- 13.→Introduction to GraphsBar/line graphs · Linear graphs · Coordinates
Class 9
Class 9
Number systems, polynomials, coordinate geometry, linear equations in two variables, geometry, mensuration, statistics.
Class 9 — Mathematics (NCERT)
- 1.→Number SystemsIrrational numbers · Real numbers & number line · Laws of exponents for real numbers
- 2.→PolynomialsDegree, zeroes · Remainder & factor theorem · Algebraic identities
- 3.→Coordinate GeometryCartesian plane · Plotting points
- 4.→Linear Equations in Two VariablesSolutions · Graph of a linear equation
- 5.→Introduction to Euclid's GeometryAxioms & postulates
- 6.→Lines and AnglesAngle pairs · Parallel lines · Angle sum of triangle
- 7.→TrianglesCongruence rules · Properties · Inequalities in triangles
- 8.→QuadrilateralsProperties of parallelograms · Mid-point theorem
- 9.→CirclesChords · Angles subtended · Cyclic quadrilaterals
- 10.→Heron's FormulaArea of triangle · Application to quadrilaterals
- 11.→Surface Areas and VolumesCones, spheres, hemispheres
- 12.→StatisticsFrequency distributions · Graphical representation
Class 10
Class 10
Board year: real numbers, polynomials, pair of linear equations, quadratics, AP, trigonometry, circles, statistics, probability.
Class 10 — Mathematics (NCERT)
- 1.→Real NumbersEuclid's division lemma · Fundamental Theorem of Arithmetic · Irrational numbers
- 2.→PolynomialsZeroes & coefficients · Division algorithm
- 3.→Pair of Linear Equations in Two VariablesGraphical method · Substitution, elimination · Cross-multiplication
- 4.→Quadratic EquationsFactorisation · Quadratic formula · Nature of roots
- 5.→Arithmetic Progressionsnth term · Sum of n terms
- 6.→TrianglesSimilarity criteria · Areas of similar triangles · Pythagoras
- 7.→Coordinate GeometryDistance formula · Section formula
- 8.→Introduction to TrigonometryTrigonometric ratios · Identities · Specific angles
- 9.→Some Applications of TrigonometryHeights & distances · Angles of elevation/depression
- 10.→CirclesTangents · Number of tangents from a point
- 11.→Areas Related to CirclesSector & segment areas
- 12.→Surface Areas and VolumesCombinations of solids · Conversion of solids
- 13.→StatisticsMean, median, mode of grouped data · Ogives
- 14.→ProbabilityTheoretical probability
Class 11
Class 11
Sets & functions, trigonometry, complex numbers, sequences & series, straight lines, conics, limits & derivatives, statistics.
Class 11 — Mathematics (NCERT)
- 1.→SetsSet operations · Venn diagrams
- 2.→Relations and FunctionsCartesian product · Types of functions
- 3.→Trigonometric FunctionsRadian measure · Identities · General solutions
- 4.→Complex Numbers and Quadratic EquationsArgand plane · Modulus & argument
- 5.→Linear InequalitiesOne & two variables · Graphical solution
- 6.→Permutations and CombinationsFactorial · nPr, nCr
- 7.→Binomial TheoremExpansion · General & middle terms
- 8.→Sequences and SeriesAP & GP · Sum to n terms
- 9.→Straight LinesSlope · Forms of line equation
- 10.→Conic SectionsCircle, parabola, ellipse, hyperbola
- 11.→Introduction to Three Dimensional GeometryCoordinates in space · Distance formula
- 12.→Limits and DerivativesLimits · Derivative from first principles
- 13.→StatisticsMeasures of dispersion · Variance & SD
- 14.→ProbabilityAxiomatic approach · Events
Class 12
Class 12
Board year: relations & functions, matrices & determinants, calculus, vectors, 3D geometry, linear programming, probability.
Class 12 — Mathematics (NCERT)
- 1.→Relations and FunctionsTypes of relations & functions · Composition & inverse
- 2.→Inverse Trigonometric FunctionsDomains & ranges · Properties
- 3.→MatricesOperations · Transpose · Inverse
- 4.→DeterminantsProperties · Adjoint & inverse · Solving linear systems
- 5.→Continuity and DifferentiabilityContinuity · Chain rule · Logarithmic differentiation
- 6.→Application of DerivativesRate of change · Maxima & minima · Tangents & normals
- 7.→IntegralsIndefinite integrals · Methods of integration · Definite integrals
- 8.→Application of IntegralsArea under curves
- 9.→Differential EquationsOrder & degree · Variable separable · Linear DEs
- 10.→Vector AlgebraDot & cross product · Scalar/vector projection
- 11.→Three Dimensional GeometryDirection cosines · Lines & planes
- 12.→Linear ProgrammingGraphical method · Feasible region
- 13.→ProbabilityConditional probability · Bayes' theorem · Random variables
Ready to practise?
Snap a problem from any topic above
Step-by-step solutions in India-style notation. Free trial, no signup needed.