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A-Level Maths

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A-Level Maths

A-Level Maths Notes

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Year 12 Pure

  • Algebra
    • Indices
    • Surds
  • Quadratics
    • Factorising Quadratics
    • Completing the Square
    • Sketching Quadratics
    • Transformations of Graphs
    • Quadratic Inequalities
    • Using the Discriminant
    • Exam questions
  • Equation of a Line
    • Midpoint, gradient, y-intercept
    • Length between two points
    • Parallel and Perpendicular Lines
    • Exam Questions
  • Equation of a Circle
  • Cubics
    • Factor & Remainder Theorem
    • Dividing Polynomials
    • Exam Questions
  • Binomial Expansion
  • Trigonometry
    • Sin, cos, tan graphs and how to use them
    • Solving trig equations
    • Solving harder trig equations
    • Using the identities for proof and solving equations
    • Exam questions
  • Differentiation
    • How and why to do integration
    • Stationary points
    • Nature of stationary points
    • Tangents and normals
    • Exam questions
  • Integration
  • Logs & Exponentials
    • Graphs
    • Rules of Logs & solving equations with Logs
    • Solving exponential equations
    • Modelling
    • Exam questions
  • Vectors

Year 13 Pure

  • Functions
  • Partial Fractions
    • Method
    • Exam Questions
  • Proof
  • Sequences and Series
    • Arithmetic
    • Geometric
    • Exam Questions
  • Binomial Expansion
  • Trigonometry
    • Cosec, cot, sec functions
    • Proof
    • Compound angle formula
    • Double angle formula
    • Proof
    • R-transformations | Test
    • Exam questions | Edexcel
  • Differentiation
    • Chain rule
    • Product & quotient rule
    • Differentiating sin and cos
    • Differentiationg log and e
    • Exam Questions | Edexcel
  • Implicit differentiation
  • Integration
    • Partial fractions
    • Reverse chain rule
    • Substitution
    • Parts
    • Differential equations
    • Exam questions
  • Parametric equations
    • Using parametric equations
    • Forming cartesian equations
    • Forming cartesian equations using trigonometry
    • Differentiating parametric equations
    • Integrating parametric equations
  • Numerical methods
    • Newton-Raphson
    • Iteration
    • Change of sign
  • Vectors

Statistics

  • Mean, standard deviation and variance
    • Exam questions
  • Graphs
    • Histograms
    • Cumulative frequency
    • Box plots
  • Correlation
    • PMCC value
    • Hypothesis testing
    • Exam questions
  • Probability Distribution
    • Sum is 1
    • Problem-solving using possibilities
    • Exam questions
  • Binomial Distribution
  • Normal Distribution
    • Normal and inverse normal
    • Hypothesis testing of the sample mean
    • Standard normal
    • Binomial approximations
    • Exam questions
  • Probability
    • Conditional probability formula
    • Venn diagrams formula
    • Independent and mutually exclusive definitions
    • Tree diagrams

Mechanics

  • SUVATs
    • Horizontal | Edexcel | Edexcel IAL
    • Vertical
    • Exam questions
  • Connected particles
    • Horizontal
    • Vertical
  • Variable acceleration
  • Resolving forces
    • Equilibrium & F=ma
    • Forces on slopes
    • Friction
    • Exam questions
  • Projectiles
    • Vertical rules
    • Horizontal rules
    • Exam questions
  • Moments
    • Moments
    • Statics
    • Exam questions

Differentiation | Edexcel | Edexcel IAL

Integration

Differential Equations: Edexcel IAL | Edexcel | MEI

Vectors | Edexcel

Statistics

Mean, Variance & Standard Deviation | Edexcel | MEI | Edexcel IAL

Correlation and Linear Regression | Edexcel | MEI | Edexcel IAL

Binomial Distribution Hypothesis Testing | Edexcel

Normal Distribution

Mechanics

| Edexcel | MEI | Edexcel IAL

Variable Acceleration | Edexcel | MEI | Edexcel IAL

Forces on slopes with angles | Edexcel | MEI | Edexcel IAL

Friction: Edexcel | MEI