IGCSE Grade 10 - MATHS


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  • Numbers
    Identify and Use - Natural Numbers, Integers (Positive, Negative and Zero), Prime Numbers, Square Numbers
    Common Factors and Common Multiples - HCF and LCM
    Rational and Irrational Numbers
    Real Numbers
    Calculate- Squares, Square roots, Cubes and Cube Roots
    Conversion-Decimal, Fraction and Percentage
    Ratio and Proportion
    Simple Interest and Compound Interest
    Currency Conversion
    Speed, Time and Distance
    Use of Scientific Calculator
  • Algebra and Graphs
    Directed Numbers
    Brackets and Simplifying Algebraic Expressions
    Factorise and Simplify Rational Expressions
    Linear Equations-Problems solved by Linear Equations
    Simultaneous Equations- Substitution Method, Elimination Method
    Problems solved by Simultaneous Method
    Indices - Rule of Indices
    Quadratic Equations -Factorisation, Completing the Square and Use of Formula
    Simple Linear Inequalities
    Interpret and Use Graphs - Travel Graphs and Conversion Graphs
    Linear Speed - Time Graph
    Composite Functions defined by gf(x) = g(f(x))
  • Mensuration
    Units - Mass, Length, Area, Volume and Capacity
    Perimeter and Area- Rectangle, Triangle, Parallelogram and Trapezium
    Circle-Circumference and Area
    Volume - Cuboid, Prism and Cylinder
    Surface Area - Cuboid and Cylinder
  • Geometry
    Geometrical Terms- Point, Line, Parallel Lines, Bearing, Right Angle, Acute, Obtuse and Reflex Angles
    Triangle-Perpendicular, Similarity and Congruence
    Figures- Triangles, Quadrilaterals, Circles, Polygons and Simple Solid Figures including Nets
    Measure- Lines and Angles
    Parallel Lines
    Construct - Triangle given the Three Sides using Ruler and Pair of Compass only, Simple Geometrical Figures from given data using Ruler and Protractor as necessary
    Circle - Radius, Centre, Circumference
    Locus of a Point
    Tangent to a Circle
  • Co-ordinate Geometry
    Cartesian Co-ordinates in Two Dimensions
    Gradient of a Straight Line
    Equation of a Straight Line in the form y = mx + c
    Equation of a Straight Line parallel to a given Line
    Gradient - Parallel Lines and Perpendicular Lines
  • Trigonometry
    Pythagoras Theorem
    Trigonometric Ratios- Sin, Cos, Tan, Cot, Sec, Cosec
    Trigonometric Problems- Angle of Elevation, Angle of Depression
    Sine and Cosine values for Angles between 90 and 180
    Sine and Cosine Rules for any Triangle
    Formula for Area of Triangle
  • Matrices and Transformation
    Matrix Operations- Addition, Subtraction
    Matrix Multiplication -By a Number, By another Matrix
    Inverse of a Matrix
    Simple Transformations- Rotation, Translation, Enlargement
    Combined Transformation- Repeated Transformation, Inverse Transformation
    Transformations using Matrices
    Transformation -Using Base vectors, Shear, Stress
  • Statistics
    Statistical Data- Collect, Classify and Tabulate
    Construct-Bar Charts, Pie Charts, Pictograms, Simple Frequency Distributions, Histograms with Equal and Unequal Intervals and Scatter Diagrams
    Measures of Central Tendency-Mean, Median, Mode
    Properties-Percentile, Quartile and Inter-Quartile Range
    Cumulative Frequency Curve
  • Probability
    Probability of a Single Event - Fraction, Decimal, Percentage
    Probability Scale
    Events-Exclusive and Independent
    Tree Diagrams
  • Featured Test