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GCSE -  GCSE Mathematics

Topics
 
    • Section One – Numbers

    • Types of Number
    • Prime Numbers
    • Multiples, Factors and Prime Factors
    • LCM and HCF
    • Fractions, Decimals and Percentages
    • Fractions
    • Ratios
    • Percentages
    • Manipulating Surds and Use of π
    • Rounding Numbers
    • Accuracy and Estimating
    • Bounds and Reciprocals
    • Conversion Factors
    • Metric and Imperial Units
    • Formula Triangles
    • Speed, Distance and Time
    • Calculator Buttons
    • Finding the nth Term
    • Revision Summary for Section One

    • Section Two – Shapes and Area

    • Regular Polygons
    • Symmetry
    • Areas
    • Surface Area and Projections
    • Volume
    • Geometry
    • Circle Geometry
    • Loci and Constriction
    • The Four Transformations
    • Congruence and Similarity
    • Similarity and Enlargements
    • Length, Area and Volume
    • Revision Summary for Section Two

    • Section Three – Trigonometry Mostly

    • Pythagoras’ Theorem and Bearings
    • Trigonometry – Sin, Cos, Tan
    • 3D Pythagoras and Trigonometry
    • The Sine and Cosine Rules
    • Vectors
    • “Real Life” Vectors Questions
    • The Graphs of Sin, Cos, Tan
    • Angles of Any Size
    • Graphs: Shifts and Stretches
    • Revision Summary for Section Three
    • Section Four – Graphs

    • D/T Graphs and V/T Graphs
    • X, Y and Z Coordinates
    • Pythagoras, Lines and Line Segments
    • Straight Line Graphs
    • Plotting Straight Line Graphs
    • Finding the Gradient
    • “y = mx + c”
    • Some Harder Graphs to Learn
    • Quadratic Graphs
    • The Meaning of Area and Gradient
    • Finding Equations from Graphs
    • Revision Summary for Section Four

    • Section Five – Handling Data

    • Probability
    • Relative Frequency
    • Probability – Tree Diagrams
    • Mean, Median, Mode and Range
    • Frequency Tables
    • Grouped Frequency Tables
    • Cumulative Frequency
    • Histograms and Frequency Density
    • Spread of Data
    • Other Graphs and Charts
    • Sampling Methods
    • Time Series
    • Revision Summary for Section Five

    • Section Six – Algebra

    • Powers and Roots
    • Compound Growth and Decay
    • Basic Algebra
    • Standard Index Form
    • Solving Equations
    • Rearranging Formulas
    • Inequalities
    • Graphical Inequalities
    • Factorising Quadratics
    • The Quadratic Formula
    • Completing the Square
    • Trial and Improvement
    • Simultaneous Equations and Graphs
    • Simultaneous Equations
    • Direct and Inverse Proportion
    • Variation
    • Revision Summary for Section Six
 
 

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GCSE Topics

    GCSE Mathematics :
  • Edexcel Linear : Foundation Level
  • Edexcel Linear
  • Foundation Level
  • Higher level