IGCSE Grade 9 - MATHS Improve your understanding of IGCSE 9 - MATHS on Brainnr

• 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
Range
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