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Olympiad

Single A Level

I currently teach the OCR A Specification, so the below is structured for that, based on the specification numbers for the Single Maths Course.

Single Pure : 1.01 : Proof

Contradiction, Counter Example, Exhaustion, Deduction, Connectives

Single Pure : 1.02 : Algebra & Functions

Indices, Surds, Simul Eqns, Quads, Disc, Hidden Quads, Ineq, Quad Ineq, Poly Div, Fact Thm, Modulus, Curve Sketching, Function, Curve Transformations, Partial Fract,

Single Pure : 1.03 : Coordinate Geometry In The xy-Plane

Single Pure : 1.04 : Sequences & Series

Single Pure : 1.05 : Trigonometry

Single Pure : 1.06 : Exponentials & Logarithms

Single Pure : 1.07 : Differentiation

Single Pure : 1.08 : Integration

Single Pure : 1.09 : Numerical Methods

Single Pure : 1.10 : Vectors

Single Statistics : 2.01 : Statistical Sampling

Single Statistics : 2.02 : Data Presentation & Interpretation

Single Statistics : 2.03 : Probability

Single Statistics : 2.04 : Statistical Distributions

Single Statistics : 2.05 : Statistical Hypothesis Testing

Single Mechanics : 3.01 : Quanitities & Units In Mechanics

Single Mechanics : 3.02 : Kinematics

Single Mechanics : 3.03 : Forces & Newton's Laws

Single Mechanics : 3.04 : Moments

Single Pure

Binomial Expansion
Chain, Product And Quotient Rules
Circles
Completing The Square
Coordinate Geometry Hard
Discriminant
Exponentials And Logarithms
Factor & Remainder Theorem
Factor Theorem Cubic Solving
Factorising Hard
General Binomial Expansion
Graphical Transformations
Hard Tangents & Normals
Implicit Functions
Integrating Squares Of Trig Functions
Integration By Inspection
Integration By Parts
Integration Definite
Integration Indefinite
Logarithms
Modulus Function
Parallel & Perpendicular Lines
Partial Fractions
Perpendicular Bisector
Polynomial Division
Polynomial Equation Finding
Polynomial Factorising & Sketching
Polynomial Sequences
Polynomial Sketching
Quadratic Formula, Completing Square & Discriminant
Quadratic Inequalities
Quadratics In Disguise
Reciprocal Sketching
Stationary Points
Surds
Translation Of Curves
Trigonometric Equations
Trigonometry
Trigonometry 2

Single Mechanics

Impulse
Inclined Planes
Moments 1
Moments 2
Multiple Particle Kinematics
Pulleys
Resultant Vectors
Vector Motion 1
Vector Motion 2

Single Statistics

Discrete Hypothesis Testing
DRVs, Expectation & Variance
Mixing Groups
Normal Distribution

Old Modular Revision Documents

These are out of date, but they may still be useful.

ALL OCR REVISION SHEETS IN ONE
OCR C1 (Core 1) Revision Sheet
OCR C2 (Core 2) Revision Sheet
OCR C3 (Core 3) Revision Sheet
OCR C4 (Core 4) Revision Sheet
OCR FP1 (Further Pure 1) Revision Sheet (3x3 Matrix Inverter)
OCR FP2 (Further Pure 2) Revision Sheet
OCR FP3 (Further Pure 3) Revision Sheet
OCR M1 (Mechanics 1) Revision Sheet
OCR M2 (Mechanics 2) Revision Sheet
OCR S1 (Statistics 1) Revision Sheet
OCR S2 (Statistics 2) Revision Sheet
OCR S3 (Statistics 3) Revision Sheet
OCR S4 (Statistics 4) Revision Sheet
OCR D1 (Decision 1) Revision Sheet

MEI C1 (Core 1) Revision Sheet
MEI C2 (Core 2) Revision Sheet
MEI C3 (Core 3) Revision Sheet
MEI C4 (Core 4) Revision Sheet
MEI S1 (Statistics 1) Revision Sheet

Other Documents

A selection of other documents of varying usefulness. Usually they derive a result or summarise a topic.

Derivation Pi Squared By Six
Differentiation FFP
Induction
Integration FFP
Lines Summary
Mortgage Repayment Formula Derivation
Proof Of Heron's Formula
Proof Of Scalar Product Equivalence
Proof S Squared Biased
Proof That e Is Irrational
Proof That Root 2 Is Irrational
Sequences & Series
Sequences
Trial & Improvement