CIE International A Level Questions By Category

The following questions have been chosen to aid with past paper revision. Whilst taken from a variety of exam boards, they are relevant to the CIE International A Level and are a way of practising past paper questions on a per topic basis without wasting the valuable CIE past papers which should be attempted closer to the exam in their entirety.

PaperTopic QuestionsMark Schemes
Assumed KnowledgeSurds and IndicesIndicesIndicesMS
Assumed KnowledgeSurds and IndicesSurdsSurdsMS
Pure 1AlgebraBinomial ExpansionBinomial ExpansionMS
Pure 1CalculusStationary PointsStationary PointsMS
Pure 1CalculusTangents and Normals to CurvesTangents and Normals to CurvesMS
Pure 1CalculusPractical Applications of DifferentiationPractical Applications of DifferentiationMS
Pure 1CalculusDefinite and Indefinite IntegralsDefinite and Indefinite IntegralsMS
Pure 1CalculusFinding the Equation of a Curve Given the DifferentialFinding the Equation of a Curve Given the DifferentialMS
Pure 1CalculusArea Between a Curve and the x-AxisArea Between a Curve and the x-AxisMS
Pure 1CalculusIntegration (Mixed)Integration (Mixed)MS
Pure 1CalculusMixed CalculusMixed CalculusMS
Pure 1CirclesCirclesCirclesMS
Pure 1CalculusChain Rule Differentiation
Pure 1CalculusVolumes of Revolution
Pure 1CalculusImproper Integrals
Pure 1CalculusReverse Chain Rule Integration
Pure 1QuadraticsCompleting the SquareCompleting the SquareMS
Pure 1QuadraticsInequalitiesInequalitiesMS
Pure 1QuadraticsSimultaneous EquationsSimultaneous EquationsMS
Pure 1QuadraticsStealth QuadraticsStealth QuadraticsMS
Pure 1QuadraticsThe DiscriminantThe DiscriminantMS
Pure 1Straight LinesStraight LinesStraight LinesMS
Pure 1InequalitiesInequalitiesInequalitiesMS
Pure 1TransformationsTransformation Of FunctionsTransformation Of FunctionsMS
Pure 1TrigonometrySine and Cosine Rules and Area of a TriangleSine and Cosine Rules and Area of a TriangleMS
Pure 1TrigonometryIntroduction To Trigonometric EquationsIntroduction To Trigonometric EquationsMS
Pure 1TrigonometryTrigonometric Equations and IdentitiesTrigonometric Equations and IdentitiesMS
Pure 1FunctionsFunctionsFunctionsMS
Pure 1FunctionsMultiple Transformations Of FunctionsMultiple Transformations Of FunctionsMS
Pure 1SequencesApplied Sequences and SeriesApplied Sequences and SeriesMS
Pure 1SequencesArithmetic SeriesArithmetic SeriesMS
Pure 1SequencesGeometric SequencesGeometric SequencesMS
Pure 1SequencesMixed SequencesMixed SequencesMS
Pure 2AlgebraPolynomial Division and Factor TheoremPolynomial Division and Factor TheoremMS
Pure 2Exponentials and LogarithmsLaws of Logarithms and Logarithmic EquationsLaws of Logarithms and Logarithmic EquationsMS
Pure 2Exponentials and LogarithmsSolving Exponential EquationsSolving Exponential EquationsMS
Pure 2Exponentials and LogarithmsExponential and Logarithmic EquationsExponential and Logarithmic EquationsMS
Pure 2Exponentials and LogarithmsModelling With ExponentialsModelling With ExponentialsMS
Pure 2AlgebraRational Functions and Polynomial DivisionRational Functions and Polynomial DivisionMS
Pure 2FunctionsThe Modulus FunctionThe Modulus FunctionMS
Pure 2TrigonometryCompound Angle Formulae – Rcos(x) and Rsin(x)Compound Angle Formulae – Rcos(x) and Rsin(x)MS
Pure 2TrigonometryCompound Angle Formulae (Harder)Compound Angle Formulae (Harder)MS
Pure 2TrigonometryRadians, Circle Sectors and TrianglesRadians, Circle Sectors and TrianglesMS
Pure 2TrigonometrySmall Angle ApproximationsSmall Angle ApproximationsMS
Pure 2TrigonometrySolving Equations Using Compound Angle FormulaeSolving Equations Using Compound Angle FormulaeMS
Pure 2TrigonometryFurther Trig and Reciprocal Trig FunctionsFurther Trig and Reciprocal Trig FunctionsMS
Pure 2CalculusDifferentiation (Chain, Product and Quotient Rules) IntroductoryDifferentiation (Chain, Product and Quotient Rules) IntroductoryMS
Pure 2CalculusDifferentiation (Chain, Product and Quotient Rules) HarderDifferentiation (Chain, Product and Quotient Rules) HarderMS
Pure 2CalculusImplicit DifferentiationImplicit DifferentiationMS
Pure 2CalculusConnected Rates of ChangeConnected Rates of ChangeMS
Pure 2CalculusStandard Integrals of Form f(ax+b)Standard Integrals of Form f(ax+b)MS
Pure 2CalculusIntegration Involving Trigonometric FunctionsIntegration Involving Trigonometric FunctionsMS
Pure 2CalculusIntegration of Rational FunctionsIntegration of Rational FunctionsMS
Pure 2[Need C3 standard integral questions]
Pure 2CalculusPurchase: TLMaths’ Bumper Book of IntegrationPurchase: TLMaths’ Bumper Book of Integration
Pure 2CalculusArea Between a Curve and the y-AxisArea Between a Curve and the y-AxisMS
Pure 2CalculusAreas Involving Two CurvesAreas Involving Two CurvesMS
Pure 2Numerical MethodsTrapezium RuleTrapezium RuleMS
Pure 2Numerical MethodsCobweb and Staircase Diagrams in Numerical MethodsCobweb and Staircase Diagrams in Numerical MethodsMS
Pure 3Exponentials and LogarithmsLaws of Logarithms and Logarithmic EquationsLaws of Logarithms and Logarithmic EquationsMS
Pure 3Exponentials and LogarithmsSolving Exponential EquationsSolving Exponential EquationsMS
Pure 3Exponentials and LogarithmsExponential and Logarithmic EquationsExponential and Logarithmic EquationsMS
Pure 3Exponentials and LogarithmsModelling With ExponentialsModelling With ExponentialsMS
Pure 3AlgebraRational Functions and Polynomial DivisionRational Functions and Polynomial DivisionMS
Pure 3FunctionsThe Modulus FunctionThe Modulus FunctionMS
Pure 3CalculusDifferential EquationsDifferential EquationsMS
Pure 3Numerical MethodsTrapezium RuleTrapezium RuleMS
Pure 3Numerical MethodsCobweb and Staircase Diagrams in Numerical MethodsCobweb and Staircase Diagrams in Numerical MethodsMS
Pure 3Rational FunctionsFurther Partial Frations
Pure 3VectorsVectors
Pure 3AlgebraPartial FractionsPartial FractionsMS
Pure 3SequencesBinomial ExpansionBinomial ExpansionMS
Pure 3CalculusIntegration By SubstitutionIntegration By SubstitutionMS
Pure 3CalculusIntegration By PartsIntegration By PartsMS
Pure 3Parametric EquationsParametric Equations and DifferentiationParametric Equations and DifferentiationMS
Pure 3Rational FunctionsHarder Factor and Remainder Theorem
Pure 3Complex NumbersComplex Numbers – Basic OperationsComplex Numbers – Basic OperationsMS
Pure 3Complex NumbersComplex Numbers – Square Roots of Complex NumbersComplex Numbers – Square Roots of Complex NumbersMS
Pure 3Complex NumbersComplex Numbers – The Argand Diagram and LociComplex Numbers – The Argand Diagram and LociMS