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GCSE Maths Higher (9-1)GCSE Maths Foundation (9-1)
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Exam Board

Edexcel
Foundation tier: grades 1 to 5
Higher tier: grades 4 to 9 (grade 3 allowed)		Components
Paper 1 Non Calc
Paper 2 Calc
Paper 3 Calc
Each paper is 1 hour and 30 minutes long.

Each paper has 80 marks.		Exam Board

Edexcel
Foundation tier: grades 1 to 5
Higher tier: grades 4 to 9 (grade 3 allowed)		Components
Paper 1 Non Calc
Paper 2 Calc
Paper 3 Calc
Each paper is 1 hour and 30 minutes long.

Each paper has 80 marks.
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All links are to www.mathsgenie.co.uk except for those shaded which are from www.corbetmaths.com

Answers to the questions can be found on the same websites.		The assessments will cover the following content headings:
1 Number
2 Algebra
3 Ratio, proportion and rates of change
4 Geometry and measures
5 Probability
6 Statistics		All links are to www.mathsgenie.co.uk except for those shaded which are from www.corbetmaths.com

Answers to the questions can be found on the same websites.		The assessments will cover the following content headings:
1 Number
2 Algebra
3 Ratio, proportion and rates of change
4 Geometry and measures
5 Probability
6 Statistics
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NumberNumber
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Topic & Skill
Revised?
VideosQuestionsTopic & SkillRevised?VideosQuestions
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ArithmeticNegative numbernegative numbersGrade 1 negative numbersArithmeticMoneycalculation problemsGrade 2 calculation problems
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FractionsFraction of an amountfraction of amountGrade 2 fractions of an amountFour Operations
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Fraction arithmeticfractionsGrade 3 fractionsNegative numbernegative numbersGrade 1 negative numbers
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Recurring decimal to fractionrecurring decimalsGrade 6 recurring decimalsOrder fractions, decimals, percentagesFDPGrade 2 fractions decimals and percentages
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PropertiesProduct of prime factorsHCF & LCMGrade 4 HCF and LCMFraction of an amountfraction of amountGrade 2 fractions of an amount
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Laws of IndicesindicesGrade 4 indicesOne amount as a fraction of anotherwriting fractionsGrade 2 writing simplifying and ordering fractions
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Negative and fractional indicesindices2Grade 6 fractional and negative indicesFraction arithmeticfractionsGrade 3 fractions
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Powers and RootsSimplification of surdssurdsGrade 7 surdsEquivalent fractionswriting fractionsGrade 2 writing simplifying and ordering fractions
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Standard FormConversionstandard-formGrade 5 standard formOrder fractions
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CalculationProperties of NumberPlace valueplace-valueGrade 1 place value
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Approximation and EstimationError intervalerror-intervalsGrade 3 error intervalsOrder integerscorbettmaths ordering-numberscorbettmaths ordering numbers
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BoundsboundsGrade 7 boundsMultiplesfactors-multiples-and-primesGrade 1 factors multiples and primes
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OtherCalculator useuse of calculatorGrade 2 using a calculatorFactors
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Product rule for countingproduct-rule-for-countingGrade 6 product ruleLowest Common MultipleHCF & LCMGrade 4 HCF and LCM
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Product of prime factors
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Powers and RootsSquare rootssquares-cubes-and-rootsGrade 1 powers and roots
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Algebra. Standard FormConversionstandard-form.Grade 5 standard form
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Calculation
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Topic & Skill VideosQuestionsApproximation and EstimationRoundingroundingGrade 1 rounding
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ManipulationSimplificationsimplifying algebraGrade 2 simplifying algebraEstimationestimatingGrade 3 estimation
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Expansion of bracketexpanding-and-factorisingGrade 4 expanding and factorisingError intervalerror-intervalsGrade 3 error intervals
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FactorisationOtherMathematical Symbols
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Substitute valuessubstitutionGrade 3 substitutionCalculator useuse-of-calculatorGrade 2 using a calculator
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Change subject of a formulachanging-the-subject 1
changing-the-subject2		Grade 5 changing the subject
Grade 7 rearranging harder formula
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Forming an expressionwriting-an-expressionGrade 2 writing an expressionAlgebra
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Laws of indicesindicesGrade 4 indices
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Expansion of bracketsexpanding-and-factorising-quadraticsGrade 5 expanding and factorising quadraticsTopic & SkillVideosQuestions
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Difference of two squaresManipulationSimplificationsimplifying algebraGrade 2 simplifying algebra
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Algebraic fractionsalgebraic-fractionsGrade 7 algebraic fractionsExpansion of bracketexpanding-and-factorisingGrade 4 expanding and factorising
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Equations and inequalitiesLinear equationsolving-equationsGrade 3 solving equationsFactorisation
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Form an equationforming-and-solving-equationsGrade 4 forming and solving equationsSubstitute valuessubstitutionGrade 3 substitution
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Set up and solve equationChange subject of a formulachanging-the-subject 1Grade 5 changing the subject
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Linear inequalityinequalitiesGrade 4 inequalitiesForming an expressionwriting-an-expressionGrade 2 writing an expression
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Quadratic equationFactorising Quadratics:
expanding-and-factorising-quadratics
factorising-harder-quadratics
Solving Quadratic Equations:
solving-quadratics		Grade 5 solving quadratics by factorising
Grade 7 factorising harder quadratics		Laws of indicesindicesGrade 4 indices
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Quadratic Inequalityquadratic-inequalitiesGrade 8/9 quadratic inequalitiesEquations and inequalitiesLinear equationsolving-one-step-equations
solving-equations		Grade 3 solving one step equations
Grade 3 solving equations
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Equations of parallel linesparallel-and-perpendicular-linesGrade 6 parallel and perpendicular linesLinear inequalityinequalitiesGrade 4 inequalities
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Equation of a tangent to a circleequation-of-tangentGrade 8/9 equation of tangentLinear simultaneous equationsAlgebraic Method:
simultaneous equations
Using Graphs:
simultaneous equations graphically		Algebraic Method:
Grade 5 simultaneous equations
Using Graphs:
Grade 5 solving simultaneous equations graphically
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Simultaneous equations linear/quadratic
simultaneous-quadraticGrade 9 quadratic simultaneous equationsForm an equationforming-and-solving-equationsGrade 4 forming and solving equations
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Quadratic equationFactorising Double Brackets:
expanding-and-factorising-quadratics
Solving Quadratic Equations:
solving-quadratics		Grade 5 solving quadratics by factorising
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GraphsCoordinatescoordinatesGrade 1 coordinates
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Algebra (cont)Straight line graphlinear graphsGrade 3 linear graphs
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Quadratic graphquadratic-graphsGrade 5 quadratic graphs
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Topic & SkillVideosQuestionsFunctionsNumber machinesfunction-machinesGrade 2 function machines
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GraphsCoordinatescoordinatesGrade 1 coordinatesSequencesLinear sequencesequencesGrade 4 sequences
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Quadratic graphquadratic-graphsGrade 5 quadratic graphs
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Gradient of a straight line graphgradient-of-a-lineGrade 5 gradient of a line
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Gradients of parallel and perpendicular lines
parallel-and-perpendicular-linesGrade 6 parallel and perpendicular lines
Ratio, proportion and rates of change
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Speed-time graphreal-graphsGrade 4 real life graphs
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Gradient of a curve
corbettmaths instantaneous-rates-of-change
corbettmaths rates-of-changeTopic & SkillVideosQuestions
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Transformations of functionstransforming-graphsGrade 8/9 transforming graphsConversionLengthconversions-and-unitsGrade 3 conversions and units
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Graphs of trigonometric functionsharder-graphsGrade 7 trig and exponential graphsMass
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FunctionsInverse and composite functionsfunctionsGrade 7 functionsTimetimeGrade 1 time
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Areaconversions-and-unitsGrade 3 conversions and units
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Compound units
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Ratio, proportion and rates of changeScale drawingscale-drawinggrade 3 scale drawings
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PercentagesPercentage to fractionFDPGrade 2 fractions, decimals and percentages
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Topic & SkillVideosQuestionsDecimal to percentage
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ConversionsTimetimeGrade 1 timePercentage of an amountpercentagesGrade 3 percentages
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Areaconversions-and-unitsGrade 3 conversions and unitsPercentage increase/decrease
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PercentagesPercentage of an amountpercentagesGrade 3 percentagesPercentage profitpercentage-changeGrade 3 percentage change
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Percentage decreaseOne quantity as a percentage of another
corbettmaths expressing-one-quantity-as-a-percentage-of-another
corbettmaths expressing-as-a-percentage
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Depreciationcompound-interestGrade 4 compound interestDepreciationcompound-interestGrade 4 compound interest
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Reverse percentagereverse-percentagesGrade 5 reverse percentagesReverse percentagereverse-percentagesGrade 5 reverse percentages
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RatioWrite as a ratiowriting-simplifying-ratio.Grade 3 writing and simplifying ratioRatioWrite as a ratiowriting-simplifying-ratio.Grade 3 writing and simplifying ratio
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1 : n formShare in a ratioratioGrade 3 sharing ratio
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Use of ratioUse of ratio
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Share in a ratioratioGrade 3 sharing ratio1 : n formwriting-simplifying-ratio.Grade 3 writing and simplifying ratio
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Ratio to fractionratio to fraction or linear functionGrade 5 ratio fraction problemsProportionDirect proportionProportion: Recipes
proportion		Grade 3 proportion: ingredients
Grade 5 direct and inverse proportion
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ProportionDirect proportionProportion: Recipes
proportion		Grade 3 proportion: ingredients
Grade 5 direct and inverse proportion		Currency conversionexchange-ratesGrade 3 exchange rates
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Inverse proportionproportionGrade 5 direct and inverse proportionCompound MeasuresSpeedspeed-and-densityGrade 5 compound measures
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Currency conversionexchange-ratesGrade 3 exchange ratesAverage speed
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Equations of proportiondirect-and-inverse-proportionGrade 7 direct and inverse proportionDensity
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Compound MeasuresAverage speedspeed-and-densityGrade 5 compound measures
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Density
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Pressurecorbettmaths pressurecorbettmaths pressure
Geometry and Measures
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Growth and DecayGeneral iterative processesiterationGrade 7 iteration
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Topic & SkillVideosQuestions
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ShapeTriangle properties
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Geometry and MeasuresQuadrilateralscorbettmaths names-of-quadrilateralscorbettmaths quadrilaterals
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Polygonscorbettmaths names-of-2d-shapescorbettmaths 2d-shapes
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Topic & SkillVideosQuestionsTriangular prism
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ShapeTransformationstransformationsGrade 3 rotations
Grade 3 reflections
Grade 3 enlargements
Grade 3 translations		Circlescorbettmaths parts-of-the-circlecorbettmaths parts of the circle
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AnglesAngles in a polygonangles-polygonsGrade 4 angles in polygonsParallel and perpendicular linescorbettmaths parallel-lines-definition

corbettmaths perpendicular-lines		corbettmaths parallel and perpendicular lines
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Circle theoremscircle-theoremsGrade 6 circle theoremsReflectiontransformationsGrade 3 reflections
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Area and VolumeArea of a rectanglearea-perimeter
compound-shapes		Grade 2 area and perimeter
Grade 3 area of compound shapes		TransformationsGrade 3 rotations
Grade 3 enlargements
Grade 3 translations
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Area of a trianglePlans and elevationsplans-and-elevationsGrade 4 plans and elevations
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Area of a trapeziumAnglesAngles in a triangleanglesGrade 2 angles
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Area of a sectorsectors-and-arcsGrade 5 sector area and arc lengthVertically opposite angles
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Surface area of a cuboidsurface areaGrade 4 surface areaAngle properties of parallel linesangles-parallelGrade 4 angles in parallel lines
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Volume of a cuboidvolumeGrade 4 volume of a prismAngles in a polygonangles-polygonsGrade 4 angles in polygons
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Volume of composite solidcylinders
spheres and cones		Grade 4 cylinders
Grade 5 spheres and cones		BearingsbearingsGrade 4 bearings
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SimilaritySimilar trianglessimilar shapes lengthGrade 5 similar shapesLength, area and volumeArea of a rectanglearea-perimeter
compound-shapes		Grade 2 area and perimeter
Grade 3 area of compound shapes
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Pythagoras’s Theorem and TrigonometryPythagoras’s TheorempythagorasGrade 4 pythagorasArea of a triangle
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TrigonometrysohcahtoaGrade 5 SOHCAHTOAArea of a trapezium