ICSE Grade 9  MATHS
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Rational & Irrational Numbers
Real NumbersImaginary NumbersRational Numbers Properties of Rational Numbers, Decimal Representation of Rational Numbers, Terminating, Non terminating Rational DecimalsIrrational NumbersSurdsRationalisation of Surds 
Compound Interest (Without Using Formula)
Compound InterestCompound Interest as a Repeated Simple InterestConversion PeriodRelationship between Simple Interest and Compound Interest 
Compound Interest (Using Formula)
Formula for Compound InterestCalculate Principal using FormulaTo find the Rate PercentageTo find the TimeInterest compounded half yearlyOther Applications Growth, Depreciation, Population Problem 
Expansions
IdentitiesExpansions  ( a+b)3, (x+a)(x+b)Using ExpansionsSpecial Products 
Factorisation
Methods of Factorisation Taking out the Common Factors, GroupingDifference of Two SquaresSum or Difference of Two Cubes 
Simultaneous (linear) Equations
Methods of Solving Simultaneous Equations  Elimination by Substitution, Elimination by Equating Coefficients, Method of Cross MultiplicationEquations Reducible to Linear EquationsProblems based on Simultaneous Equations 
Indices/ Exponents
Law of IndicesIndices Positive, Fractional, Negative and ZeroSimplification of Expressions involving ExponentsUse of Laws of Exponents 
Logarithms
Logarithmic FormExponential Form InterchangingLaws of Logarithms and its UsesExpansion of Expression with the help of Laws of Logarithm 
Triangles (Congruency in Triangles)
Triangles Relation between Sides and Angles of TrianglesProperties of TrianglesMedian, Altitude, OrthocentreTypes of TrianglesCongruent TrianglesCongruency of Triangle SSS, SAS, AAS, ASA, RHS 
Isosceles Triangles
Properties of an Isosceles TriangleTheorem Angles opposite to equal sides are equal and converseTheorem Sum of any two sides of a triangle is greater than the third sideTheorem If two sides of a triangle are unequal, then the greater angle is opposite the greater side and converse 
Inequalities
Theorem If two sides of a triangle are unequal, the greater side has greater angle opposite to itTheoremThe perpendicular distance is the shortest distance to a line drawn from an outside point 
MidPoint Theorem and Its Converse, Equal Intercept Theorem
TheoremLine segment joining the midpoint of any two sides of a triangle is parallel to the third side, and equal to half of itConverse of MidPoint TheoremEqual Intercept Theorem 
Pythagoras Theorem
Pythagoras TheoremIn a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sidesPythagorean Triplets 
Rectilinear Figures (Quadrilaterals)
Rectilinear Figures or PolygonsConcave Polygon and Convex PolygonInterior and Exterior Angles of Polygon and their RelationsRegular PolygonsQuadrilaterals Trapezium, Parallelogram, Rhombus, Rectangle, Square 
Construction of Polygons
Construction Quadrilaterals, Parallelograms, Trapezium, Rectangles, Square, Regular Hexagon 
Area
Figures Between the same ParallelsCorollary Parallelograms Between the Same Base and Same Parallels are equal in AreasTheoremMedian divides the triangles into two triangles of equal areas 
Circle
Circle Radius, Circumference, CentreTypes of CirclesConcentric Circles, Equal CirclesCircumscribed CirclePropertiesArc, Chord, Segment, Sector 
Statistics
Data Raw and Arrayed DataVariable Continuous variable, Discrete variableFrequency Distribution Ungrouped and Grouped Frequency DistributionTypes of Frequency Distribution Inclusive and ExclusiveClass IntervalsClass LimitsGraphical Representation of DataHistogram, Frequency Polygon 
Mean & Median
Mean of ungrouped dataMedianProperties Mean, Median 
Area and Perimeter of Plane Figures
Area and Perimeter of TrianglesHeron's FormulaSome Special Types of Triangles Equilateral, Isosceles, Right Angled TriangleArea and Perimeter of QuadrilateralsSome Special types of Quadrilaterals Rectangle, Square, Parallelogram, Rhombus, TrapeziumCircumference of a CircleArea of a Circle 
Solids (Surface Area and Volume of 3D Solids)
Surface Area and Volume of 3D solids Cube, Cuboid and CylinderCross SectionFlow of WaterProblems  Internal and External Dimensions of the Solid 
Trigonometrical Ratios
Trigonometric Ratios Sine, Cosine, TangentReciprocal Relations 
Trigonometrical Ratios of Standard Angles
Trigonometric Ratios of Standard Angles  0, 30, 45, 60, 90 degreesEvaluation of an ExpressionSolving a Trigonometric Equation 
Solution of Right Triangles
Problems involving RightAngled TriangleProblems on Trigonometric Ratios 
Complementary Angles
Concept of Trigonometric Ratio of Complementary AnglesComplementary Angles of Sine and CosineComplementary Angles of Tangent and CotangentComplementary Angles of Secant and Cosecant 
Coordinate Geometry
VariablesDependent and IndependentOrdered PairCartesian Plane Xaxis, YaxisCoordinates of PointsQuadrantsSign ConventionPlotting of PointsGraphs  Graph of x=0, y=0, x=a, y=aGraphing a Linear EquationInclination and Slope Yintercept 
Graphical Solution
Graphs of Linear Equations in Two VariablesSolution of Simultaneous Linear Equations Graphically 
Distance Formula
Distance FormulaDistance between Two Given PointsProblems Find the Radius, Point of TrisectionCircumcentre of a Triangle 
Featured Test