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GCEEdexcel

Mathematics

Exam Questions

Proof by deductionNew Proof by exhaustionNew Disproof by counterexampleNew Proof by contradictionNew

Straight line formsNew Parallel and perpendicular linesNew Straight line modellingNew Circle equationsNew Completing the square (circles)New Circle properties (chords, tangents)New Parametric equationsNew Parametric–Cartesian conversionNew Parametric modellingNew

Binomial expansion (positive integer)New Binomial expansion (rational)New Binomial approximations and validityNew Recurrence relationsNew Increasing/decreasing/periodic sequencesNew Sigma notationNew Arithmetic sequencesNew Arithmetic series (sum formula proof)New Geometric sequencesNew Geometric series (finite)New Geometric series to infinityNew Sequence and series modellingNew

Radian measureNew Arc length and sector areaNew Sine ruleNew Cosine ruleNew Triangle area formulaNew Small-angle approximationsNew Sin/Cos/Tan graphsNew Symmetry and periodicityNew Exact trig valuesNew Sec/Cosec/Cot definitionsNew Arcsin/Arccos/ArctanNew Trig identities (basic)New Double-angle formulaeNew Compound-angle formulaeNew Half-angle applicationsNew R-form (a cosθ + b sinθ)New Trig equations (interval)New Trig proofsNew Trig in context problemsNew

Exponential functions (a^x, e^x)New Transformations of exponentialsNew Exponential differentiation idea (k e^{kx})New Logarithms as inversesNew ln(x) graphs and inverse of e^xNew Log lawsNew Solving exponential equationsNew Logarithmic graphs (linearising data)New Exponential growth and decay modelsNew Model limitations and refinementsNew

Root locating by sign changeNew Failure of sign-change methodsNew Fixed-point iterationNew Cobweb diagramsNew Staircase diagramsNew Newton–Raphson methodNew Failure of iterative methodsNew Numerical integration (trapezium rule)New Over/under-estimates (trapezium)New Numerical methods in contextNew

2D and 3D vectorsNew Unit vectors (i, j, k) and column vectorsNew Magnitude and directionNew Unit vectorsNew Vector addition and scalingNew Geometric interpretation (triangle/parallelogram)New Parallel vectorsNew Position vectorsNew Distance between points (2D/3D)New Vector problem solving (incl. forces contexts)New

Population vs sampleNew Census vs sample (pros/cons)New Simple random samplingNew Stratified samplingNew Systematic samplingNew Quota samplingNew Opportunity samplingNew Sampling critique and biasNew Inference variability (different samples)New

Mutually exclusive eventsNew Independent eventsNew Venn diagramsNew Tree diagramsNew Two-way tablesNew Conditional probabilityNew Complement ruleNew Addition ruleNew Multiplication ruleNew Probability modelling assumptionsNew

Discrete uniform distributionNew Binomial distribution as a modelNew Binomial probabilities (calculator)New Normal distribution as a modelNew Normal probabilities (calculator)New Standardisation ideasNew Normal curve inflection points (µ ± σ)New Binomial–Normal approximationNew Continuity correctionNew Choosing appropriate distribution modelsNew Model suitability and limitationsNew

Null and alternative hypothesesNew Significance levelNew Test statisticNew One-tailed testsNew Two-tailed testsNew Critical value and critical regionNew Acceptance regionNew p-valuesNew Binomial test for a proportionNew Interpreting test outcomes in contextNew Type I error (informal)New Normal test for a mean (known/assumed variance)New Sampling distribution of the mean (given)New Correlation coefficient as test statisticNew Interpreting r using p-values/critical valuesNew

SI base units (length, time, mass)New Derived quantities (velocity, acceleration)New Force and weightNew MomentNew Unit conversionsNew

Displacement vs distanceNew Velocity vs speedNew AccelerationNew Displacement–time graphsNew Velocity–time graphsNew Gradient and area interpretationsNew Constant-acceleration (suvat) formulaeNew Deriving suvat relationshipsNew 2D kinematics with vectorsNew Calculus in kinematics (v = dr/dt, a = dv/dt)New Vector differentiation/integration in timeNew

Force types and free-body diagramsNew Newton’s first lawNew Newton’s second law (scalar)New Newton’s second law (2D vectors)New Resolving forces (inclined planes)New Weight under gravity (g)New Newton’s third lawNew Equilibrium of a particleNew Connected particles and pulleysNew Coplanar force equilibriumNew Resultant forces and force additionNew Dynamics in a planeNew Friction model (F ≤ μR)New Limiting friction and staticsNew

Moments about a pointNew Equilibrium of rigid bodiesNew Ladder-type problems (coplanar forces)New