Further Maths Exam Questions By Topic

Revision Course Prospectuses

YearStrand QuestionsMark Schemes
Y1 FurtherMechCircular MotionHorizontal Circular Motion MS
Y1 FurtherMechCircular MotionVertical Circular Motion MS
Y1 FurtherMechCollisionsConservation of Momentum MS
Y1 FurtherMechCollisionsCoefficient of Restitution MS
Y1 FurtherMechDimensional AnalysisDimensional Analysis MS
Y1 FurtherMechWork, Energy and PowerWork, Energy and Power MS
Y1 FurtherPureComplex NumbersComplex Numbers – Basic Operations MS
Y1 FurtherPureComplex NumbersComplex Numbers – Square Roots of Complex Numbers MS
Y1 FurtherPureComplex NumbersComplex Numbers – The Argand Diagram and Loci MS
Y1 FurtherPureMatricesMatrices – Operations, Determinants and Inverses MS
Y1 FurtherPureMatricesMatrices – 3×3 Determinants and Inverses MS
Y1 FurtherPureMatricesMatrices – Solving Simultaneous Equations MS
Y1 FurtherPureMatricesMatrices – 2×2 Transformations MS
Y1 FurtherPureMatricesMatrices – 3×3 Transformations MS
Y1 FurtherPureMatricesMatrices – Invariant Points and Lines MS
Y1 FurtherPureProof By InductionProof By Induction (Matrices) MS
Y1 FurtherPureProof By InductionProof By Induction (Divisibility) MS
Y1 FurtherPureProof By InductionProof By Induction (Inductive Sequences) MS
Y1 FurtherPureProof By InductionProof By Induction (Inequalities) MS
Y1 FurtherPureRoots of PolynomialsRoots of Polynomials MS
Y1 FurtherPureVectorsVectors MS
Y1 FurtherStatsCombinatoricsPermutations and Combinations MS
Y1 FurtherStatsDistributionsDiscrete Random Variables MS
Y1 FurtherStatsDistributionsExpectation and Variance of Linear Transformations of Discrete Random Variables MS
Y1 FurtherStatsDistributionsBinomial Distribution MS
Y1 FurtherStatsDistributionsGeometric Distribution MS
Y1 FurtherStatsDistributionsDiscrete Uniform Distribution MS
Y1 FurtherStatsDistributionsPoisson Distribution MS
Y1 FurtherStatsHypothesis TestingChi Squared Tests (Contingency Tables) MS
Y1 FurtherStatsHypothesis TestingChi Squared Tests (Goodness of Fit) (Year 1) MS
Y1 FurtherStatsHypothesis Testing and Linear RegressionHypothesis Tests for Linear Correlation MS
Y1 FurtherStatsLinear RegressionLeast Squares Regression Line MS
Y2 FurtherMechCentres of MassCentres Of Mass MS
Y2 FurtherMechCentres of MassCentres of Mass Involving Integration MS
Y2 FurtherMechCircular MotionProblem Solving With Circular Motion MS
Y2 FurtherMechCollisionsOblique Collisions MS
Y2 FurtherMechDifferential EquationsLinear Motion With Variable Acceleration MS
Y2 FurtherMechForces and EnergyHooke’s Law MS
Y2 FurtherPureCalculusDifferentiation of Inverse Trigonometric and Hyperbolic Functions MS
Y2 FurtherPureCalculusIntegration Involving Trigonometric and Hyperbolic Functions MS
Y2 FurtherPureCalculusVolumes of Revolution MS
Y2 FurtherPureCalculusImproper Integrals MS
Y2 FurtherPureCalculusPartial Fractions and Integration MS
Y2 FurtherPureComplex NumbersComplex Roots Of Equations and Using Exponential and Polar Form MS
Y2 FurtherPureComplex NumbersDeMoivre’s Theorem and Applications To Trigonometry MS
Y2 FurtherPureProof By InductionSummations (Proof By Induction) MS
Y2 FurtherPureProof By InductionProof By Induction (Challenging) MS
Y2 FurtherPureDifferential EquationsFirst Order Differential Equations MS
Y2 FurtherPureDifferential EquationsFirst Order Differential Equations Involving Substitutions MS
Y2 FurtherPureDifferential EquationsSecond Order Differential Equations MS
Y2 FurtherPureDifferential EquationsApplied First Order Differential Equations MS
Y2 FurtherPureDifferential EquationsSimple, Forced and Damped Harmonic Motion MS
Y2 FurtherPureDifferential EquationsCoupled Simultaneous First Order Differential Equations MS
Y2 FurtherPureHyperbolicsHyperbolic Identities and Equations MS
Y2 FurtherPureSeriesSummations (Proof By Induction) MS
Y2 FurtherPureSeriesSummations (Method Of Differences) MS
Y2 FurtherPureSeriesSummations (Standard Formulae) MS
Y2 FurtherPureSeriesMaclaurin Expansion MS
Y2 FurtherPureVectorsLines and Planes (Equations, Angles Between and Intersection) MS
Y2 FurtherPureVectorsPolar Coordinates MS
Y2 FurtherPureVectorsDistance Between Planes and Lines MS
Y2 FurtherPureVectors and MatricesMatrices, Simultaneous Equations and Applications to Intersections of Planes MS
Y2 FurtherStatsConfidence IntervalsConfidence Intervals for the Mean of a Sampling Distribution MS
Y2 FurtherStatsDistributionsGeometric Distribution Questions (with Year 2 Content) MS
Y2 FurtherStatsDistributionsContinuous Random Variables (Mean, Variance and Median) MS
Y2 FurtherStatsDistributionsContinuous Random Variables (Cumulative Distributions) MS
Y2 FurtherStatsDistributionsContinuous Uniform Distribution MS
Y2 FurtherStatsDistributionsContinuous Random Variables (Functions of CRVs) MS
Y2 FurtherStatsDistributionsExponential Distribution MS
Y2 FurtherStatsDistributionsCombinations of Continuous Random Variables MS
Y2 FurtherStatsHypothesis TestingChi Squared Tests (Goodness of Fit) (Year 2) MS
Y2 FurtherStatsHypothesis TestingSingle Sample and Paired Sample Sign Tests MS
Y2 FurtherStatsHypothesis TestingWilcoxon Single Sample and Paired Sample Hypothesis Tests MS
Y2 FurtherStatsHypothesis TestingWilcoxon Rank Sum Tests MS
Y2 FurtherStatsHypothesis TestingUsing Central Limit Theorem MS
Y2 FurtherStatsHypothesis TestingHypothesis Tests Requiring Unbiased Estimators and Central Limit Theorem MS