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Mathematics
Exam Questions
Ordering and inequalitiesNewPlace value and decimalsNewFour operationsNewWritten methodsNewNegative number calculationsNewInverse operationsNewBIDMAS and bracketsNewFactors and multiplesNewPrime numbersNewPrime factorisationNewHCF and LCMNewSquares, cubes, rootsNewIndex lawsNewFractional indicesNewSurds and simplificationNewRationalising surdsNewStandard formNewFraction–decimal conversionNewRecurring decimals to fractionsNewFraction calculationsNewFractions in contextNewPercentages as operatorsNewPercentage changeNewReverse percentagesNewSimple interestNewStandard unitsNewCompound unitsNewTime and money calculationsNewRounding and significant figuresNewEstimation and checksNewError intervalsNewUpper and lower boundsNew
Algebra notationNewSubstitutionNewExpressions and termsNewCollecting like termsNewExpanding bracketsNewFactorising expressionsNewQuadratic factorisingNewDifference of two squaresNewAlgebraic fractionsNewSimplifying algebraic fractionsNewRearranging formulaeNewIdentities and proofNewLinear equationsNewQuadratic equationsNewCompleting the squareNewQuadratic formulaNewSimultaneous equationsNewLinear inequalitiesNewQuadratic inequalitiesNewCoordinates and plottingNewStraight line graphsNewGradient and interceptNewParallel and perpendicular linesNewGraphs of quadratic functionsNewGraphs of cubic functionsNewReciprocal graphsNewExponential graphsNewTrig function graphsNewTransformations of graphsNewIteration methodsNewSequences from rulesNewArithmetic sequencesNewQuadratic sequencesNewFibonacci-type sequencesNewFunctions and notationNewEquation of a circleNewTangents to circlesNewRates from graphsNewAreas under graphsNew
Ratio notationNewSimplifying ratiosNewSharing in a ratioNewRatio and fractionsNewRatio and algebraNewBest buys and unit pricingNewDirect proportionNewInverse proportionNewProportion graphsNewProportion equationsNewPercentage as “per hundred”NewPercentage comparisonsNewPercentage increase/decreaseNewPercentage multipliersNewGrowth and decayNewCompound interestNewRepeated percentage changeNewSpeed calculationsNewDensity calculationsNewPressure calculationsNewRates of payNewScale factorsNewScale drawings and mapsNewSimilarity in shapesNewSimilarity in area/volumeNewGradient as rate of changeNewAverage and instantaneous rateNew
Geometric language and notationNewAngle factsNewAngles on linesNewAngles in trianglesNewAngles in polygonsNewParallel line anglesNewBearingsNewConstructionsNewLociNewPerimeter and areaNewArea of trianglesNewArea of trapeziaNewCircles: circumferenceNewCircles: areaNewArc lengthNewSector areaNewSurface areaNewVolume of prismsNewVolume of cylindersNewVolume of pyramids and conesNewSpheres: volume and surface areaNewCongruence criteriaNewSimilarity and enlargementNewTransformationsNewReflections and rotationsNewTranslations and vectorsNewCombined transformationsNewPythagoras’ theoremNewTrigonometry in right trianglesNewSine, cosine, tangent ratiosNewExact trig valuesNewSine ruleNewCosine ruleNewArea of triangle (½ab sin C)NewCircle theoremsNewTangents and radiiNewVectors in geometryNewVector proofsNew
Randomness and fairnessNewProbability scale (0 to 1)NewRelative frequencyNewTheoretical probabilityNewSample spacesNewListing outcomes systematicallyNewFrequency tables and treesNewMutually exclusive eventsNewComplementary eventsNewTree diagramsNewIndependent eventsNewDependent eventsNewConditional probabilityNewTwo-way tablesNewVenn diagramsNewExpected outcomesNew
Sampling and biasNewData typesNewFrequency tablesNewBar chartsNewPie chartsNewPictogramsNewLine graphs and time seriesNewFrequency polygonsNewHistograms (equal classes)NewHistograms (unequal classes)NewCumulative frequency graphsNewBox plotsNewMean, median, modeNewModal classNewRange and outliersNewQuartiles and IQRNewComparing distributionsNewScatter graphsNewCorrelation and causationNewLine of best fitNewInterpolation and extrapolationNew
