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  • IGCSE Edexcel
  • Mathematics A
  • 4. Geometry

Mathematics A

  • IGCSE Edexcel
  • Revision Notes

4. Geometry


4.1 Angles, Lines and Triangles>4.2 Polygons>4.3 Symmetry>4.4 Measures>4.5 Construction>4.6 Circle Properties>4.7 Geometric Reasoning>4.8 Trigonometry and Pythagoras’ Theorem>4.9 Mensuration of 2D Shapes>4.10 3D Shapes and Volumes>4.11 Similarity>

1. Numbers & the Number System

1.1 Integers >1.2 Fractions >1.3 Decimals >1.4 Powers and Roots >1.5 Set Language and Notation >1.6 Percentages >1.7 Ratio and Proportion >1.8 Degree of Accuracy >1.9 Standard Form >1.10 Applying Numbers >1.11 Electronic Calculator >

2. Equations, Formulae & Identities

2.1 Use of Symbols >2.2 Algebraic Manipulation >2.3 Expressions and Formulae >2.4 Linear Equations >2.5 Proportion (Higher Tier Only) >2.6 Simultaneous Linear Equations >2.7 Quadratic Equations >2.8 Inequalities >

3. Sequences, Functions & Graphs

3.1 Sequences >3.2 Function Notation (Higher Tier Only) >3.3 Graphs >3.4 Calculus (Higher Tier Only) >

5. Vectors & Transformation Geometry

5.1 Vectors (Higher Tier Only) >5.2 Transformation Geometry >

6. Statistics & Probability

6.1 Graphical Representation of Data >6.2 Statistical Measures >6.3 Probability >

7. Appendix

7.1 Appendix 1: Foundation Tier Formula Sheet (Given) >7.2 Appendix 2: Foundation Tier Formula Sheet (To Memorise) >7.3 Appendix 3: Higher Tier Formula Sheet (Given) >7.4 Appendix 4: Higher Tier Formula Sheet (To Memorise) >7.5 Appendix 5: Notation >

4.8 Trigonometry and Pythagoras’ Theorem

4.8.1 Know, understand and use Pythagoras’ theorem in two dimensions

4.8.2 Know, understand and use sine, cosine and tangent of acute angles to determine lengths and angles of a right-angled triangle

4.8.3 Apply trigonometrical methods to solve problems in two dimensions

4.8.4 Understand and use sine, cosine and tangent of obtuse angles (Higher Tier Only)

4.8.5 Understand and use angles of elevation and depression (Higher Tier Only)

4.8.6 Understand and use the sine and cosine rules for any triangle (Higher Tier Only)

4.8.7 Use Pythagoras’ theorem in three dimensions (Higher Tier Only)

4.8.8 Understand and use the formula ½ab sin C for the area of triangle (Higher Tier Only)

4.8.9 Apply trigonometrical methods to solve problems in three dimensions, including finding the angle between a line and a plane (Higher Tier Only)

Previous4.7 Geometric Reasoning
Next4.9 Mensuration of 2D Shapes

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