GCSE Maths revision guides

63+ free Edexcel GCSE Maths topics with clear definitions, formulas, worked examples and common mistakes to avoid. Pick a strand below, or sign up free to turn any topic into interactive practice questions.

Number

GCSE Edexcel — number, fractions, indices, and standard form

Arithmetic procedures with fractions

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Arithmetic procedures with integers and decimals

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Arithmetic procedures: index laws

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Comparing and ordering fractions and decimals (positive and negative)

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Estimation and rounding

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Place value

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Properties of number: factors, multiples, squares and cubes

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Rounding, estimation and bounds

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Standard form

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Standard form calculations

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Surds

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Algebra

GCSE Edexcel — expressions, equations, sequences, and graphs

Algebraic fractions

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Algebraic manipulation

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Expressions and equations

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Expressions and formulae

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Functions and proof

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Further sequences

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Graphical representations

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Graphical representations of linear equations

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Inequalities

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Iteration

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Linear graphs

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Non-linear graphs

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Non-linear relationships

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Plotting coordinates

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Real-life graphs

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Sequences

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Simultaneous equations: 2 variables

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Solving linear equations

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Transformations of graphs

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Ratio, proportion and rates of change

GCSE Edexcel — ratio, proportion, percentages, and growth

Compound measures

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Direct and inverse proportion

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Percentages

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Ratio

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Understanding multiplicative relationships: fractions and ratio

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Understanding multiplicative relationships: percentages and proportionality

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Geometry and measures

GCSE Edexcel — shapes, angles, constructions, and units

2D and 3D shape: compound shapes

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2D and 3D shape: surface area and volume (pyramids, spheres and cones)

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Angles

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Bearings

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Circle theorems

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Constructions

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Further transformations

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Geometrical properties: polygons

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Geometrical properties: similarity and Pythagoras' theorem

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Loci and construction

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Non right-angled trigonometry

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Perimeter, area and volume

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Plans and elevations

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Right-angled trigonometry

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Similarity

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Transformations

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Trigonometry

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Vectors

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Probability

GCSE Edexcel — probability and expectation

Conditional probability

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Probability: possible outcomes

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Probability: theoretical probabilities

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Statistics

GCSE Edexcel — data handling and charts

Comparisons of numerical summaries of data

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Graphical representations of data

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Graphical representations of data: cumulative frequency and histograms

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Graphical representations of data: scatter graphs and time series

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Numerical summaries of data

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Sampling

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