GCSE Maths broken down by topic area.
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Number · 16 pages
Overview of NumbersBIDMAS / BODMASBIDMAS MisconceptionsPowers and RootsPrime NumbersFractions and DecimalsRecurring DecimalsPercentagesFactors and MultiplesPrime FactorsSystematic ListingSurdsStandard FormStandard UnitsRounding and AccuracyLimits of Accuracy
Algebra · 16 pages
Algebra OverviewMultiplying BracketsChanging the SubjectEquationsAlgebraic FractionsInequalitiesAlgebraic ManipulationIdentities and ProofsSimultaneous EquationsSimultaneous QuadraticsFunctionsMore FunctionsIterative MethodsMore Iterative MethodsSequencesMore Sequences
Quadratics · 13 pages
Quadratics OverviewFactorising QuestionsFactorising AnswersThe Quadratic FormulaFormula Cheat SheetFormula QuestionsFormula AnswersFormula ChecklistCompleting the SquareCompleting the Square QuestionsCompleting the Square AnswersAdvanced QuestionsAdvanced Answers
Graphs · 8 pages
Graphs OverviewStraight Line GraphsGraphical InequalitiesGraphs of FunctionsRoots and Turning PointsTranslations and ReflectionsReal World GraphsGraphs of Circles
Ratio and Proportion · 17 pages
Ratio OverviewUnits and Compound UnitsScale Drawings and MapsOne Quantity as a FractionRatio NotationSharing in a RatioMultiplicative RelationshipsProportion as Equal RatiosRatios and Linear FunctionsPercentage ChangeDirect and Inverse ProportionCompound MeasuresSimilar ShapesEquations of ProportionGradient as a Rate of ChangeInstantaneous Rates of ChangeGrowth and Decay
Geometry and Measures · 26 pages
Geometry OverviewConventions and NotationConstructions and LociAngle Rules and PolygonsTriangles and QuadrilateralsCongruent TrianglesGeometric ProofTransformationsCombined TransformationsParts of a CircleCircle TheoremsCoordinate Geometry3D ShapesPlans and ElevationsUnits of MeasureMeasuring and BearingsArea and Volume FormulaeSurface Area and VolumeArcs and SectorsCongruence and SimilarityPythagoras and TrigonometryExact Trig ValuesSine and Cosine RulesVectors and TranslationsVector ArithmeticVector Proof
Probability · 10 pages
Probability OverviewTables and Frequency TreesExpected OutcomesThe Probability ScaleMutually Exclusive EventsExperimental ProbabilityListing and Venn DiagramsSample Space DiagramsTree DiagramsConditional Probability
Statistics · 7 pages
Statistics OverviewSampling and PopulationsCharts and DiagramsHistograms and Cumulative FrequencyAverages, Spread and Box PlotsDescribing a PopulationScatter Graphs and Correlation