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
- (x-a)2 + (y-b)2 = r2
- Circle theorems
- Exam Questions
- Cubics
- Factor & Remainder Theorem
- Dividing Polynomials
- Exam Questions
- Binomial Expansion
- Formula
- Validity
- Approximations
- Exam questions
- 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
- How and why to do integration
- Exam questions
- Logs & Exponentials
- Graphs
- Rules of Logs & solving equations with Logs
- Solving exponential equations
- Modelling
- Exam questions
- Vectors
Year 13 Pure
- Functions
- Modulus
- Domain & range
- Practice Questions
- Exam questions
- Partial Fractions
- Method
- Exam Questions
- Proof
- Sequences and Series
- Arithmetic
- Geometric
- Exam Questions
- Binomial Expansion
- Formula
- Validity
- Approximations
- Exam questions
- Trigonometry
- Cosec, cot, sec functions
- Proof
- Compound angle formula
- Double angle formula
- Proof
- R-transformations | Test
- Practice questions
- Exam questions | Edexcel
- Differentiation
- Chain rule
- Product & quotient rule
- Differentiating sin and cos
- Differentiationg log and e
- Practice Questions
- Exam Questions | Edexcel
- Implicit differentiation
- Exam questions | Edexcel | Edexcel IAL
- Integration
- Partial fractions
- Reverse chain rule
- Substitution
- Parts
- Differential equations
- Practice Questions
- 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
- Working out probabilities
- Hypothesis testing
- Exam questions
- Normal Distribution
- Normal and inverse normal
- Hypothesis testing of the sample mean
- Standard normal
- Binomial approximations
- Practice Questions
- Exam Questions: Edexcel
- Probability
- Conditional probability formula
- Venn diagrams formula
- Independent and mutually exclusive definitions
- Tree diagrams
Mechanics
- SUVATs
- Horizontal
- Vertical
- Exam questions | Edexcel | Edexcel IAL
- Connected particles
- Horizontal
- Vertical
- Variable acceleration
- without vectors
- with vectors
- Exam Questions | Edexcel
- 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
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
Mechanics
| Edexcel | MEI | Edexcel IAL
Variable Acceleration | Edexcel | MEI | Edexcel IAL
Forces on slopes with angles | Edexcel | MEI | Edexcel IAL