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Revision notes
IGCSE
Maths
Edexcel IGCSE
Higher
Exam-Style Questions - Algebraic Proof

Exam-Style Questions - Algebraic Proof

Maths: Edexcel IGCSE Higher, topic 2.1.9

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Previous topic2.1.8 End of Topic Test - Algebra & Proofs Next topic2.2.1 Rearranging Formulae

Maths: Edexcel IGCSE Higher contents

1 Numbers
- 1.1 Integers
  1.1.1 Integers
  1.1.2 Ordering Numbers
  1.1.3 The Four Rules of Operations
  1.1.4 Hierarchy of Operations
  1.1.5 Definitions & Terms
  1.1.6 HCF & LCM
  1.1.7 Standard Form
  1.1.8 Standard Form 2
  1.1.9 Prime Numbers
  1.1.10 End of Topic Test - Standard Form
- 1.2 Fractions
  1.2.1 Fractions
  1.2.2 Using Fractions
  1.2.3 Conversion
  1.2.4 Reciprocals
- 1.3 Decimals
  1.3.1 Decimals
  1.3.2 Decimals 2
  1.3.3 Exam-Style Questions - Recurring Decimals
  1.3.4 Comparing & Converting Decimals
  1.3.5 End of Topic Test - Fractions & Decimals
- 1.4 Powers & Roots
  1.4.1 Square Numbers
  1.4.2 Index Notation
  1.4.3 Exam-Style Questions - Index Notation
  1.4.4 Advanced Indices
  1.4.5 Surds
  1.4.6 End of Topic Test - Powers & Roots
- 1.5 Set Language & Notation
  1.5.1 Sets
- 1.6 Percentages
  1.6.1 Percentages
  1.6.2 Percentage Change
  1.6.3 Percentages in Finance
  1.6.4 Compound Interest
- 1.7 Ratio & Proportion
  1.7.1 Manipulating Ratios
  1.7.2 Proportion
- 1.8 Degree of Accuracy
  1.8.1 Rounding & Significant Figures
  1.8.2 Estimation
  1.8.3 Upper & Lower Bounds
  1.8.4 Limits of Accuracy
  1.8.5 Limits of Accuracy 2
  1.8.6 End of Topic Test - Rounding & Estimation
2 Equations, Formulae & Identities
- 2.1 Algebraic Manipulation
  2.1.1 Algebra Basics
  2.1.2 Power Rules & Collecting Terms
  2.1.3 Expanding Brackets
  2.1.4 Expanding Brackets 2
  2.1.5 Factorising Quadratics
  2.1.6 Algebraic Fractions
  2.1.7 Proofs
  2.1.8 End of Topic Test - Algebra & Proofs
  2.1.9 Exam-Style Questions - Algebraic Proof
- 2.2 Expressions & Formulae
  2.2.1 Rearranging Formulae
  2.2.2 Simple Formulae
  2.2.3 End of Topic Test - Algebra Manipulation & Formula
- 2.3 Linear Equations
  2.3.1 Solving Linear Equations
  2.3.2 Simultaneous Linear Equations
- 2.4 Quadratic Equations
  2.4.1 Solving Quadratics
  2.4.2 Solving Quadratics 2
  2.4.3 End of Topic Test - Solving Equations
  2.4.4 Simulateous Quadratic Equations
  2.4.5 Exam-Style Questions - Simultaneous Equations
  2.4.6 Graphs of Simultaneous Equations
  2.4.7 End of Topic Test - Simultaneous Equations
- 2.5 Proportion
  2.5.1 Graphs & Proportion
- 2.6 Inequalities
  2.6.1 Solving Inequalities
  2.6.2 Graphs of Inequalities
  2.6.3 Exam-Style Questions - Inequalities
  2.6.4 End of Topic Test - Inequalities
3 Sequences, Functions & Graphs
4 Geometry
- 4.1 Angles, Lines & Triangles
  4.1.1 Angles & Lines
  4.1.2 Angle Rules
  4.1.3 Angles in Triangles
  4.1.4 Exam-Style Questions - Angles
- 4.2 Polygons
  4.2.1 Polygons
  4.2.2 Quadrilaterals
  4.2.3 Congruence
  4.2.4 Scale Factor
  4.2.5 Exam-Style Questions - Enlargements
  4.2.6 End of Topic Test - Geometry
- 4.3 Symmetry
  4.3.1 Symmetry
  4.3.2 Exam-Style Questions - Reflection
- 4.4 Measures
  4.4.1 Measurements
  4.4.2 Time
  4.4.3 Bearings
  4.4.4 Speed
- 4.5 Circle Properties
  4.5.1 Properties of a Circle
  4.5.2 Circle Theorems
  4.5.3 Circle Theorems 2
  4.5.4 Circle Theorems 3
  4.5.5 Exam-Style Questions - Circle Theorems
- 4.6 Trigonometry & Pythagoras’ theorem
  4.6.1 Pythagoras' Theorem
  4.6.2 Trigonometry
  4.6.3 Sine & Cosine for Obtuse Angles
  4.6.4 Triangle Formulae
  4.6.5 Exam-Style Questions - Trigonometry & Area
- 4.7 Mensuration of 2D Shapes
  4.7.1 Standard Units
  4.7.2 Perimeter of 2D Shapes
  4.7.3 Area of 2D Shapes
  4.7.4 Area & Circumference of Circle
  4.7.5 End of Topic Test - Trigonometry & Shapes
- 4.8 3D Shapes & Volume
  4.8.1 3D Shapes
  4.8.2 Surface Area
  4.8.3 Volume
  4.8.4 Exam-Style Questions - Volume
5 Vectors & Transformation Geometry
- 5.1 Vectors
  5.1.1 Vectors
  5.1.2 Vectors 2
  5.1.3 Exam-Style Questions - Vectors
- 5.2 Transformation Geometry
  5.2.1 Transformations
  5.2.2 Rotations
  5.2.3 Translations & Reflections
  5.2.4 Enlargements
  5.2.5 Effects of Transformations
6 Statistics & Probability
- 6.1 Statistical Measures
  6.1.1 Basic Statistics
  6.1.2 Frequency Table
- 6.2 Graphical Representation of Data
  6.2.1 Pictograms, Bar Charts & Pie Charts
  6.2.2 Histograms
  6.2.3 Cumulative Frequency
  6.2.4 Cumulative Frequency 2
  6.2.5 Exam-Style Questions - Cumulative Frequency
  6.2.6 End of Topic - Datasets
- 6.3 Probability
  6.3.1 Probability
  6.3.2 Theoretical Probability
  6.3.3 Experimental Probability
  6.3.4 Venn Diagrams
  6.3.5 Sample Space Diagrams
  6.3.6 Tree Diagrams
  6.3.7 Independent Events
  6.3.8 Conditional Probability
  6.3.9 End of Topic Test - Probability
  6.3.10 Exam-Style Questions - Probability

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