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Further Pure Mathematics 3
Hyperbolic functions, further coordinate systems, differentiation, integration, vectors, and matrix algebra.
Statistics 2
Probability distributions, continuous random variables, sampling distributions, and hypothesis testing — building on S1 foundations.
Further Pure Mathematics 3
Hyperbolic functions, coordinate systems, differentiation, integration, vectors, and matrix algebra.
Mind Map
Interactive mind map covering all topics in the module — explore connections between key concepts visually.
Textbook
The complete course textbook covering every topic in the syllabus, with clear explanations, worked examples, and exercises to build confidence and fluency.
Questions by Topic
Exam-style questions by topic, arranged by difficulty with full mark schemes and worked solutions to sharpen your technique.
Past Papers
Full worked solutions to all Edexcel IAL past paper questions, taught by experienced instructors with clear step-by-step explanations for every mark.
Coming SoonPlanner & Checklist
A structured study planner and checklist to track your progress through every topic, ensuring complete and confident exam preparation.
Flashcards
Develop your understanding using custom-built flashcards covering key definitions, identities, and results — perfect for quick daily revision sessions.
Coming Soon
Further Pure Mathematics 3
Textbook — Select a chapter to read in the notebook.
Hyperbolic Functions
Definitions of sinh, cosh, tanh, graphs, inverse hyperbolic functions, identities and equations.
Further Coordinate Systems
Ellipses, hyperbolas, eccentricity, tangents, normals and loci.
Differentiation
Derivatives of hyperbolic, inverse hyperbolic and inverse trigonometric functions.
Integration
Standard integrals, substitutions, reduction formulae, arc length and surfaces of revolution.
Vectors
Scalar and vector products, lines, planes and geometric problems in 3D.
Further Matrix Algebra
3×3 determinants, inverses, linear transformations, eigenvalues and diagonalisation.
Binomial Distributions
Binomial distribution, mean, variance, cumulative probabilities and hypothesis testing for proportions.
Poisson Distributions
Poisson distribution, mean and variance, modelling real-world events and combining independent Poisson variables.
Approximations
Normal approximation to binomial and Poisson, continuity corrections and choosing the right model.
Continuous Random Variables
Probability density functions, cumulative distribution functions, mean, variance and mode of continuous distributions.
Continuous Uniform Distribution
Properties of the rectangular distribution, expected value, variance and applications to probability problems.
Sampling and Sampling Distributions
Populations and samples, sampling distributions, the Central Limit Theorem and the distribution of sample means.
Hypothesis Testing
Null and alternative hypotheses, significance levels, critical regions, one- and two-tailed tests for Poisson and binomial parameters.
Questions by Topic
Select a topic to practise exam-style questions with worked solutions.
Hyperbolic Functions
Definitions of sinh, cosh and tanh, their graphs and properties, inverse hyperbolic functions, logarithmic equivalents, identities and equations.
Further Coordinate Systems
Cartesian and parametric equations of ellipses and hyperbolas, foci, directrices, eccentricity, tangents and normals, and simple loci problems.
Differentiation
Derivatives of hyperbolic functions, inverse hyperbolic functions, and inverse trigonometric functions including composite expressions.
Integration
Standard integrals, hyperbolic and trigonometric substitutions, integrating quadratic surds, reduction formulae, arc length, and surfaces of revolution.
Vectors
Scalar and vector products, finding areas, scalar triple product, equations of straight lines and planes, and solving geometric problems in three dimensions.
Further Matrix Algebra
Transposing matrices, 3×3 determinants and inverses, linear transformations in 3D, eigenvalues and eigenvectors, and reducing symmetric matrices to diagonal form.
Binomial, Poisson Distributions and Approximation
Binomial and Poisson models, conditions for use, cumulative probabilities, and Normal or Poisson approximations to the Binomial distribution.
Continuous Random Variables and Uniform Distribution
Probability density functions, cumulative distribution functions, expectation, variance, and the continuous uniform distribution.
Sampling and Sampling Distributions
Populations and samples, sampling techniques, the distribution of sample means, and the Central Limit Theorem.
Hypothesis Testing
Null and alternative hypotheses, significance levels, critical regions, one- and two-tailed tests for Binomial, Poisson, and Normal distributions.
Planner & Checklist
Tools to organise your revision, track topics, and log past paper progress.
Weekly Planner
Plan your study week with daily goals and time blocks — stay on track with a clear, structured revision schedule.
Topic Checklist
Tick off every syllabus point as you master it — see your progress at a glance and identify gaps before the exam.
Past Paper Tracker
Log every paper you complete with scores and timing — spot trends, track improvement, and target weak areas.