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1980 questions across 150 topics in Edexcel YMA01. Pick one to practise, or browse every question.

Algebra: modulus inequalities14 questionsAlgebra: partial fractions13 questionsAlgebra: polynomial division, factor and remainder theorems16 questionsAlgebra: the binomial expansion for any rational n13 questionsAlgebra: the modulus function, its graphs and equations15 questionsAlgorithms: sorting and packing12 questionsCentres of mass of laminas and composite bodies12 questionsChi-squared tests12 questionsCircular measure: arc length and sector area18 questionsCircular measure: radians16 questionsCircular measure: segments and composite shapes15 questionsComposite functions18 questionsConfidence intervals12 questionsContinuous random variables: mean and variance12 questionsContinuous random variables: median and percentiles12 questionsContinuous random variables: probability density functions13 questionsCoordinate geometry: parallel and perpendicular lines17 questionsCoordinate geometry: straight lines18 questionsCoordinate geometry: tangents, chords and intersections19 questionsCoordinate geometry: the equation of a circle18 questionsCritical path analysis12 questionsData: coded and combined data12 questionsData: histograms and cumulative frequency13 questionsData: mean, variance and standard deviation12 questionsData: stem-and-leaf diagrams, box plots and quartiles12 questionsDifferential equations: forming equations from rates14 questionsDifferential equations: modelling and interpreting solutions14 questionsDifferential equations: particular solutions with harder integrals12 questionsDifferential equations: separating the variables12 questionsDifferentiation: exponentials, logarithms and trigonometric functions14 questionsDifferentiation: gradients and the power rule15 questionsDifferentiation: implicit differentiation14 questionsDifferentiation: optimisation and connected rates of change14 questionsDifferentiation: parametric differentiation14 questionsDifferentiation: product and quotient rules15 questionsDifferentiation: stationary points and tangents with further functions14 questionsDifferentiation: stationary points, increasing and decreasing functions14 questionsDifferentiation: the chain rule14 questionsElastic strings and springs12 questionsEnergy: kinetic and potential energy, conservation of energy14 questionsEnergy: power13 questionsEnergy: the work–energy principle12 questionsEnergy: work done by a force12 questionsEquilibrium of a rigid body12 questionsFunctions: domain and range18 questionsFurther kinematics12 questionsGraphs of a function and its inverse17 questionsHypothesis tests for a population mean12 questionsHypothesis tests: Type I and Type II errors12 questionsHypothesis tests using the binomial and Poisson distributions12 questionsIAL M1 dynamics: connected particles and pulleys12 questionsIAL M1 dynamics: friction and inclined planes12 questionsIAL M1 dynamics: momentum and impulse12 questionsIAL M1 dynamics: Newton's laws and F = ma12 questionsIAL M1 kinematics: constant acceleration formulae12 questionsIAL M1 kinematics: motion graphs12 questionsIAL M1 kinematics: vertical motion under gravity12 questionsIAL M1 modelling: modelling assumptions12 questionsIAL M1 modelling: quantities, units and evaluating models12 questionsIAL M1 statics: friction and limiting equilibrium12 questionsIAL M1 statics: resolving forces and equilibrium12 questionsIAL M1 vectors: magnitude, direction and forces12 questionsIAL M1 vectors: position, velocity and acceleration12 questionsIAL P1 algebra: curve sketching and transformations12 questionsIAL P1 algebra: indices and surds12 questionsIAL P1 algebra: quadratics, simultaneous equations and inequalities12 questionsIAL P1 differentiation: gradients and second derivatives12 questionsIAL P1 differentiation: powers of x12 questionsIAL P1 differentiation: tangents and normals12 questionsIAL P1 integration: finding a curve from its gradient12 questionsIAL P1 integration: integrating powers of x12 questionsIAL P1 trigonometry: graphs of sine, cosine and tangent12 questionsIAL P1 trigonometry: radians, arcs and sectors12 questionsIAL P1 trigonometry: sine rule, cosine rule and area12 questionsIAL S1: expectation, variance and the discrete uniform distribution12 questionsIAL S1: probability distributions and the cumulative distribution function12 questionsIAL S1: statistical models and the modelling cycle14 questionsIAL S1: summary statistics and correlation12 questionsIAL S1: the least squares regression line12 questionsIAL S2: normal approximations to the binomial and Poisson12 questionsIAL S2: the continuous uniform distribution12 questionsIntegration: areas under and between curves13 questionsIntegration: definite and improper integrals14 questionsIntegration: exact definite integrals and logarithmic results15 questionsIntegration: exponentials, 1/x and trigonometric functions14 questionsIntegration: integrating (ax + b)ⁿ13 questionsIntegration: integration by parts13 questionsIntegration: integration by substitution13 questionsIntegration: reversing differentiation13 questionsIntegration: the trapezium rule14 questionsIntegration: using trigonometric identities14 questionsIntegration: volumes of revolution14 questionsKinematics: variable acceleration (calculus)14 questionsLinear combinations: expectation and variance rules12 questionsLinear combinations: multiples versus sums of observations12 questionsLinear combinations: normal and Poisson variables12 questionsLinear programming12 questionsLogarithms: definition and laws14 questionsLogarithms: eˣ, ln x and their graphs13 questionsLogarithms: exponential equations and inequalities14 questionsLogarithms: exponential models and reducing to linear form13 questionsLogarithms: solving logarithmic equations13 questionsMinimum spanning trees12 questionsMoments: moments and beams on supports12 questionsMoments: tilting and non-uniform rods12 questionsMomentum: coalescing particles and kinetic energy12 questionsMomentum: definition and conservation13 questionsMomentum: opposite directions and several collisions13 questionsMotion under a variable force12 questionsNumerical methods: fixed-point iteration14 questionsNumerical methods: locating roots12 questionsNumerical methods: rearrangements and convergence12 questionsOne-one and inverse functions17 questionsParametric equations of curves12 questionsPhysics: centripetal acceleration and force12 questionsPhysics: kinematics of uniform circular motion12 questionsProbability: independent and mutually exclusive events12 questionsProbability: sample spaces, Venn diagrams and combined events12 questionsProbability: tree diagrams and conditional probability14 questionsProof: deduction, exhaustion and counterexample12 questionsProof: proof by contradiction12 questionsRoute inspection and travelling salesperson12 questionsSampling and unbiased estimates12 questionsSeries: arithmetic progressions15 questionsSeries: geometric progressions14 questionsSeries: sum to infinity15 questionsSeries: the binomial expansion17 questionsShortest paths12 questionsThe distribution of the sample mean and the Central Limit Theorem12 questionsThe normal distribution: approximating the binomial12 questionsThe normal distribution: inverse problems and finding μ and σ12 questionsThe normal distribution: standardising and probabilities13 questionsThe Poisson distribution: approximations12 questionsThe Poisson distribution: changing the interval and adding Poisson variables12 questionsThe Poisson distribution: probabilities and conditions12 questionsTransformations of graphs18 questionsTrigonometry: compound-angle formulae13 questionsTrigonometry: double-angle formulae14 questionsTrigonometry: exact values and angles of any size15 questionsTrigonometry: graphs of sine, cosine and tangent14 questionsTrigonometry: identities14 questionsTrigonometry: inverse trigonometric functions14 questionsTrigonometry: sec, cosec and cot13 questionsTrigonometry: solving equations17 questionsTrigonometry: the R-form a sin θ + b cos θ13 questionsVectors: foot of the perpendicular and distances13 questionsVectors: intersecting, parallel and skew lines13 questionsVectors: position, displacement and magnitude13 questionsVectors: the scalar product14 questionsVectors: the vector equation of a line14 questions