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Question practice
All 1114 questions from the workbooks, one at a time, with a full worked answer a tap away. Write your answer first, then compare it line by line with the working, and find the exact step where the two part company; each question comes back on a schedule set by how it went. These are full worked solutions written for this library rather than exam-board marking documents, and where an answer does set out its M1, A1 and B1 points it says so.
Practise the whole course Proof Algebra and functions Coordinate geometry Sequences and series Trigonometry Exponentials and logarithms Differentiation Integration Numerical methods Vectors Statistics Mechanics Further proof Complex numbers Matrices Further algebra and series Further vectors Further calculus Hyperbolic functions Polar coordinates Differential equations Further Pure 1 Further Statistics 1 Further Pure 2 Further Statistics 2 Further Mechanics 1 Further Mechanics 2 Decision Mathematics 1 Decision Mathematics 2 Algorithms, sorting and bin packing Allocation and the Hungarian algorithm Angular speed and horizontal circular motion Arc length and surface area Areas with polar coordinates Areas, parametric curves and the limit of a sum Arithmetic series Calculus with hyperbolic functions Calculus with inverse trigonometric functions Centre of mass of a discrete distribution Centres of mass by integration Centres of mass of plane figures and frameworks Circles Combinations of normal random variables Combinatorics Comparing two normal means Complex arithmetic and the Argand diagram Compound angles and the harmonic form Conditional probability Confidence intervals and tests with the t-distribution Conic sections Connected particles and pulleys Contingency tables Continuous random variables: density and distribution functions Correlation and regression Correlation coefficients: product moment and Spearman Critical path analysis De Moivre's theorem and trigonometric identities Decision analysis Definite integrals and areas Determinants and inverses Diagonalisation and the Cayley-Hamilton theorem Differentiating powers of x Differentiating trig, exponentials and logs Direct impact and Newton's law of restitution Discrete random variables and expectation Disproof and proof by contradiction Dynamic programming Eigenvalues and eigenvectors Elastic potential energy Equilibrium, suspension, toppling and sliding Estimators, standard error and confidence intervals Exponential functions and e First order equations and integrating factors Float, Gantt charts and scheduling Flows in networks: cuts and capacity Forces and Newton's laws Friction and inclined planes Functions in modelling Functions, inverses and the modulus Further kinematics: acceleration as a function of x, t or v Further loci and regions in the Argand diagram Game theory: play safe and stable solutions Geometric and negative binomial distributions Geometric series Goodness-of-fit tests Graphs, proportion and transformations Graphs: order, Eulerian paths and planarity Groups and their axioms Hooke's law and elastic strings Hyperbolic functions and identities Hypothesis testing with the binomial Hypothesis testing: correlation and the normal Hypothesis tests for Poisson and geometric models Implicit and parametric differentiation Impulse and momentum as vectors Indices and surds Induction: divisibility and matrices Inequalities and inequations Integrating rational functions Integrating standard functions Integration as antidifferentiation Integration by substitution and by parts Intersections, angles and distances Kinematics with constant acceleration Kinematics with variable acceleration Least squares regression and residuals Leibnitz's theorem and the Weierstrass substitution Limits and L'Hospital's rule Linear programming: formulation and graphical solution Lines and planes in three dimensions Locating roots and iteration Log graphs and exponential models Logarithms and their laws Maclaurin series Matrix algebra and transformations Maximum flow and the labelling procedure Mean values and improper integrals Mean, variance and skewness of continuous variables Measures of location and spread Minimum spanning trees: Prim and Kruskal Mixed strategies Modelling with differential equations Modelling, quantities and units Modular arithmetic and Fermat's little theorem Modulus, argument and loci Moments Momentum and impulse Motion in a vertical circle Newton's laws with a variable force Newton-Raphson and the trapezium rule Numerical methods for differential equations Oblique impact and impact with a smooth surface Oscillations on strings and springs Parametric equations Partial fractions Polar curves Polynomials and the factor theorem Probability and Venn diagrams Probability generating functions Projectiles Proof by induction: sums and series Quadratic functions Radians, arcs and small angles Rates of change and building differential equations Reciprocal and inverse trigonometric functions Recurrence relations Reduction formulae Representing and interpreting data Roots of polynomials Roots of unity and complex roots Route inspection Sampling and the large data set Second order equations Sequences and sigma notation Series solutions of differential equations Shortest paths: Dijkstra and Floyd Simple harmonic motion Simultaneous equations and inequalities Solving differential equations Statics of a particle Straight lines Subgroups, Lagrange's theorem and isomorphism Successive impacts and impacts with a wall Summing series and the method of differences Systems of equations and invariance Tangents, normals and loci of conics Tangents, turning points and curve behaviour Taylor series Testing a correlation coefficient Testing variances: chi-squared and the F-distribution The Central Limit Theorem The Euclidean algorithm and Bezout's identity The Poisson distribution The Simplex algorithm The binomial distribution The binomial expansion The continuous uniform distribution The derivative from first principles The general binomial expansion The normal distribution The product, quotient and chain rules The quality of tests The stepping-stone method The structure of proof: deduction and exhaustion The t-formulae The travelling salesman problem The vector product and the scalar triple product Transformations of the complex plane Transportation problems Triangles and the sine and cosine rules Trigonometric graphs and equations Trigonometric modelling Vectors in three dimensions Vectors in two dimensions Volumes of revolution Work, energy and power at any demand warm-up standard stretch on calculation and explanation calculation only explanation only
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Or sit a timed set of 25 marks 50 marks 75 marks, as much as a Further Maths paper 100 marks, as much as an A-level Maths paper Build the set
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A timed set draws questions from whatever you have selected, orders them easiest first and puts 1.2 minutes a mark on the clock, which is the rate both Edexcel qualifications run at: two hours for 100 marks in A-level Maths, an hour and a half for 75 in Further Maths. The worked answers stay shut until you finish, then you mark each answer against them yourself.
Progress lives in this browser, on this device, unless you sign in. 1114 questions worth 4223 marks, every one original InkMaths material rather than past-paper text. Prefer paper? The same questions are in the printable workbooks , with the answers in a separate book.