GCSE Maths Revision
Complete GCSE Maths revision covering every exam topic. Each guide includes key concepts, worked examples, and practice questions.
Algebra Basics
Collecting like terms, expanding brackets, and simplifying expressions.
Read guide →Quadratic Equations
Factorising, completing the square, and the quadratic formula.
Read guide →Simultaneous Equations
Solving pairs of equations using elimination and substitution.
Read guide →Pythagoras' Theorem
Finding missing sides in right-angled triangles using a² + b² = c².
Read guide →Trigonometry
SOH CAH TOA — finding sides and angles in right-angled triangles.
Read guide →Circle Theorems
Angle at the centre, angles in a semicircle, cyclic quadrilaterals and tangent rules.
Read guide →Probability
Tree diagrams, Venn diagrams, and calculating combined event probabilities.
Read guide →Statistics
Mean, median, mode, range, and interpreting data from charts and tables.
Read guide →Ratios
Simplifying ratios, sharing amounts, and solving ratio problems.
Read guide →Percentages
Percentage change, reverse percentages, compound interest and depreciation.
Read guide →Fractions & Decimals
Converting between fractions, decimals and percentages. All four operations.
Read guide →Standard Form
Writing very large and very small numbers in standard form (scientific notation).
Read guide →Surds
Simplifying surds, rationalising denominators, and surd calculations.
Read guide →Indices
Index laws, negative and fractional indices explained clearly.
Read guide →Sequences
Arithmetic and geometric sequences, finding the nth term.
Read guide →Inequalities
Solving and representing linear and quadratic inequalities on number lines.
Read guide →Vectors
Column vectors, adding and subtracting vectors, scalar multiples.
Read guide →Transformations
Translation, rotation, reflection, and enlargement with worked examples.
Read guide →Graphs
Straight line graphs, y = mx + c, gradients, quadratic and cubic curves.
Read guide →Area & Perimeter
Rectangles, triangles, circles, trapeziums, parallelograms and compound shapes.
Read guide →Volume
Prisms, cylinders, cones, spheres and composite 3D shapes.
Read guide →Angles
Angle rules, parallel lines, interior and exterior angles in polygons.
Read guide →Bearings
Three-figure bearings measured clockwise from north. Worked examples.
Read guide →Construction
Bisecting angles and lines, constructing triangles with compass and ruler.
Read guide →Loci
Drawing loci, combining loci rules, and solving loci problems.
Read guide →Histograms
Frequency density, drawing and interpreting histograms for grouped data.
Read guide →Cumulative Frequency
Drawing cumulative frequency graphs, finding the median and interquartile range.
Read guide →Scatter Graphs
Plotting scatter graphs, drawing lines of best fit, correlation types.
Read guide →Bounds
Upper and lower bounds, error intervals, and calculations with bounds.
Read guide →Proof
Algebraic proof, showing results, and counter-examples.
Read guide →