Topic guides
GCSE Maths, topic by topic.
133 free guides covering Number, Algebra, Ratio and Proportion, Geometry and Measure, Probability and Statistics - each with a plain-English explanation, a worked example, practice questions and exam-style questions with full mark schemes. Every guide links to a free printable worksheet, no card or account needed.
Still deciding where to revise? We compare the main options for this subject, ours honestly ranked among them, in Best GCSE Maths Revision Websites, Compared.
Number
Addition and SubtractionGrade 1-2 (Foundation)Multiplication and DivisionGrade 1-2 (Foundation)Writing, Simplifying and Ordering FractionsGrade 1-2 (Foundation)Place ValueGrade 1-2 (Foundation)RoundingGrade 1-2 (Foundation)Negative NumbersGrade 2-3 (Foundation)Powers and RootsGrade 1-2 (Foundation)BIDMASGrade 1-2 (Foundation)Factors and MultiplesGrade 3-4 (Foundation/Crossover)Calculation ProblemsGrade 2-3 (Foundation)Using a CalculatorGrade 2-3 (Foundation)Fractions of an AmountGrade 2-3 (Foundation)Fractions, Decimals and PercentagesGrade 2-3 (Foundation)Error IntervalsGrade 3-4 (Foundation)FractionsGrade 3-4 (Foundation)EstimatingGrade 3-4 (Foundation)Percentage ChangeGrade 3-4 (Foundation)IndicesGrade 5-6 (Higher)Prime Factors, HCF and LCMGrade 4-5 (Foundation & Higher)Reverse PercentagesGrade 5-6 (Higher)Standard FormGrade 5-6 (Higher)Recurring Decimals to FractionsGrade 6-7 (Higher)Fractional and Negative IndicesGrade 6-7 (Higher)The Product Rule for CountingGrade 6-7 (Higher)SurdsGrade 7-8 (Higher)BoundsGrade 7-9 (Higher)
Algebra
Simplifying AlgebraGrade 3-4 (Foundation)Writing an ExpressionGrade 2-3 (Foundation)Function MachinesGrade 2-3 (Foundation)Solving One Step EquationsGrade 2-3 (Foundation)SubstitutionGrade 3-4 (Foundation)Solving EquationsGrade 4-5 (Crossover)Drawing Linear GraphsGrade 3-4 (Foundation)InequalitiesGrade 4-5 (Foundation & Higher)Forming and Solving EquationsGrade 4-5 (Foundation & Higher)Sequences (Nth Term)Grade 4-5 (Foundation & Higher)Expanding and FactorisingGrade 5-6 (Higher)Changing the Subject of a FormulaGrade 5-6 (Higher)Expanding and Factorising QuadraticsGrade 5-6 (Higher)Solving QuadraticsGrade 5-6 (Higher)Drawing Quadratic GraphsGrade 5-6 (Higher)Drawing Other Graphs: Cubic/ReciprocalGrade 5-6 (Higher)Simultaneous EquationsGrade 5-6 (Higher)Solving Simultaneous Equations GraphicallyGrade 5-6 (Higher)Gradient of a LineGrade 5-6 (Higher)Equation of a LineGrade 5-6 (Higher)Expanding Triple BracketsGrade 6-7 (Higher)Parallel and Perpendicular LinesGrade 6-7 (Higher)Inequalities on GraphsGrade 6-7 (Higher)Quadratic FormulaGrade 7-8 (Higher)Factorising Harder QuadraticsGrade 7-9 (Higher)Algebraic FractionsGrade 7-9 (Higher)Rearranging Harder FormulaeGrade 7-9 (Higher)Trigonometric and Exponential GraphsGrade 7-9 (Higher)Inverse and Composite FunctionsGrade 7-9 (Higher)IterationGrade 7-9 (Higher)Quadratic Simultaneous EquationsGrade 7-9 (Higher)Transforming Graphs y=f(x)Grade 7-9 (Higher)ProofGrade 7-9 (Higher)Completing the SquareGrade 7-9 (Higher)The Nth Term of a Quadratic SequenceGrade 7-9 (Higher)Quadratic InequalitiesGrade 7-9 (Higher)
Ratio and Proportion
Writing and Simplifying RatioGrade 3-4 (Foundation)RatioGrade 4-5 (Crossover)ProportionGrade 3-4 (Foundation)PercentagesGrade 4-5 (Crossover)Exchange RatesGrade 3-4 (Foundation)Conversions and UnitsGrade 3-4 (Foundation)Scale DrawingsGrade 3-4 (Foundation)Best Buy QuestionsGrade 3-4 (Foundation)Compound Interest and DepreciationGrade 4-5 (Foundation & Higher)Real Life and Distance Time GraphsGrade 4-5 (Foundation & Higher)Writing a Ratio as a Fraction or Linear FunctionGrade 5-6 (Higher)Direct and Inverse ProportionGrade 6-7 (Higher)Speed and DensityGrade 5-6 (Higher)Repeated Percentage ChangeGrade 6-7 (Higher)Direct and Inverse Proportion DepthGrade 7-9 (Higher)Velocity Time GraphsGrade 7-9 (Higher)
Geometry and Measure
TimeGrade 1-2 (Foundation)Metric ConversionsGrade 1-2 (Foundation)CoordinatesGrade 1-2 (Foundation)AnglesGrade 3-4 (Foundation)Area and PerimeterGrade 3-4 (Foundation)Area and Circumference of CirclesGrade 3-4 (Foundation)TransformationsGrade 3-4 (Foundation)Area of Compound ShapesGrade 3-4 (Foundation)PythagorasGrade 5-6 (Higher/Crossover)Angles in Parallel LinesGrade 4-5 (Foundation & Higher)Angles in PolygonsGrade 4-5 (Foundation & Higher)Surface AreaGrade 4-5 (Foundation & Higher)Volume of a PrismGrade 4-5 (Foundation & Higher)CylindersGrade 4-5 (Foundation & Higher)Loci and ConstructionGrade 4-5 (Foundation & Higher)BearingsGrade 4-5 (Foundation & Higher)Plans and ElevationsGrade 4-5 (Foundation & Higher)Spheres and ConesGrade 5-6 (Higher)Sector Areas and Arc LengthsGrade 5-6 (Higher)Similar Shapes (Lengths)Grade 5-6 (Higher)SOHCAHTOA (Trigonometry)Grade 6-7 (Higher)Exact trig valuesGrade 5-6 (Higher)VectorsGrade 5-6 (Higher)Similar Shapes (Area and Volume)Grade 6-7 (Higher)Enlarging with Negative Scale FactorsGrade 6-7 (Higher)Circle TheoremsGrade 6-7 (Higher)Finding the Area of Any TriangleGrade 7-9 (Higher)The Sine RuleGrade 7-9 (Higher)The Cosine RuleGrade 7-9 (Higher)Congruent TrianglesGrade 7-9 (Higher)3d Pythagoras and TrigonometryGrade 7-9 (Higher)Proof of the Circle TheoremsGrade 7-9 (Higher)Perpendicular Lines and the equation of a tangentGrade 7-9 (Higher)Vectors Proof QuestionsGrade 7-9 (Higher)
Probability
Systematic ListingGrade 2-3 (Foundation)Probability (Foundation)Grade 3-4 (Foundation)AveragesGrade 3-4 (Foundation)Probability (Higher)Grade 4-5 (Foundation & Higher)Probability TreesGrade 5-6 (Higher)Venn DiagramsGrade 5-6 (Higher)Conditional ProbabilityGrade 7-9 (Higher)Probability Equation QuestionsGrade 7-9 (Higher)
Statistics
PictogramsGrade 1-2 (Foundation)Frequency PolygonsGrade 2-3 (Foundation)Bar ChartsGrade 2-3 (Foundation)Stem and LeafGrade 2-3 (Foundation)Pie ChartsGrade 2-3 (Foundation)Frequency TreesGrade 3-4 (Foundation)Two Way TablesGrade 3-4 (Foundation)Averages from Frequency TablesGrade 4-5 (Foundation & Higher)Scatter GraphsGrade 4-5 (Foundation & Higher)Cumulative FrequencyGrade 6-7 (Higher)Box PlotsGrade 6-7 (Higher)Capture RecaptureGrade 6-7 (Higher)HistogramsGrade 7-9 (Higher)
A Maths topic we have not covered?
Tell us which one and it goes on the list for the next batch of guides. Every request is read, and we reply to every one.
Turn any topic into a printable pack.
Every guide links straight into the Pack Builder, so you can add the topic to a student's pack in a couple of clicks.