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Mathematics A

  • IGCSE Edexcel
  • Revision Notes

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>

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 >

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

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 >

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

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

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 >

2.2 Algebraic Manipulation

2.2.1 Evaluate expressions by substituting numerical values for letters

2.2.2 Collect like terms

2.2.3 Multiply a single term over a bracket

2.2.4 Take out common factors

2.2.5 Expand the product of two simple linear expressions

2.2.6 Understand the concept of a quadratic expression and be able to factorise such expressions (limited to x² + bx + c)

Factorising is the reverse process of expanding.

2.2.7 Manipulate algebraic fractions where the numerator and/or the denominator can be numeric, linear or quadratic (Higher Tier Only)

Some equations contain fractional coefficients. A good approach is to multiply the whole equation by a positive whole number, to clear the fractions away.

2.2.8 Complete the square for a given quadratic expression (Higher Tier Only)

2.2.9 Use algebra to support and construct proofs (Higher Tier Only)

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