IGCSE Grade 10  MATHS
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Numbers
Identify and Use  Natural Numbers, Integers (Positive, Negative and Zero), Prime Numbers, Square NumbersCommon Factors and Common Multiples  HCF and LCMRational and Irrational NumbersReal NumbersCalculate Squares, Square roots, Cubes and Cube RootsConversionDecimal, Fraction and PercentageRatio and ProportionSimple Interest and Compound InterestCurrency ConversionSpeed, Time and DistanceUse of Scientific Calculator 
Algebra and Graphs
Directed NumbersBrackets and Simplifying Algebraic ExpressionsFactorise and Simplify Rational ExpressionsLinear EquationsProblems solved by Linear EquationsSimultaneous Equations Substitution Method, Elimination MethodProblems solved by Simultaneous MethodIndices  Rule of IndicesQuadratic Equations Factorisation, Completing the Square and Use of FormulaSimple Linear InequalitiesInterpret and Use Graphs  Travel Graphs and Conversion GraphsLinear Speed  Time GraphComposite Functions defined by gf(x) = g(f(x)) 
Mensuration
Units  Mass, Length, Area, Volume and CapacityPerimeter and Area Rectangle, Triangle, Parallelogram and TrapeziumCircleCircumference and AreaVolume  Cuboid, Prism and CylinderSurface Area  Cuboid and Cylinder 
Geometry
Geometrical Terms Point, Line, Parallel Lines, Bearing, Right Angle, Acute, Obtuse and Reflex AnglesTrianglePerpendicular, Similarity and CongruenceFigures Triangles, Quadrilaterals, Circles, Polygons and Simple Solid Figures including NetsMeasure Lines and AnglesParallel LinesConstruct  Triangle given the Three Sides using Ruler and Pair of Compass only, Simple Geometrical Figures from given data using Ruler and Protractor as necessaryCircle  Radius, Centre, CircumferenceLocus of a PointTangent to a Circle 
Coordinate Geometry
Cartesian Coordinates in Two DimensionsGradient of a Straight LineEquation of a Straight Line in the form y = mx + cEquation of a Straight Line parallel to a given LineGradient  Parallel Lines and Perpendicular Lines 
Trigonometry
Pythagoras TheoremTrigonometric Ratios Sin, Cos, Tan, Cot, Sec, CosecTrigonometric Problems Angle of Elevation, Angle of DepressionSine and Cosine values for Angles between 90 and 180Sine and Cosine Rules for any TriangleFormula for Area of Triangle 
Matrices and Transformation
Matrix Operations Addition, SubtractionMatrix Multiplication By a Number, By another MatrixInverse of a MatrixSimple Transformations Rotation, Translation, EnlargementCombined Transformation Repeated Transformation, Inverse TransformationTransformations using MatricesTransformation Using Base vectors, Shear, Stress 
Statistics
Statistical Data Collect, Classify and TabulateConstructBar Charts, Pie Charts, Pictograms, Simple Frequency Distributions, Histograms with Equal and Unequal Intervals and Scatter DiagramsMeasures of Central TendencyMean, Median, ModeRangePropertiesPercentile, Quartile and InterQuartile RangeCumulative Frequency Curve 
Probability
Probability of a Single Event  Fraction, Decimal, PercentageProbability ScaleEventsExclusive and IndependentTree Diagrams 
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