P1
Proof
Proof by deduction, exhaustion and contradiction.
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P2
Algebraic Manipulation
Clear step-by-step booklet covering algebraic manipulation, including indices, expanding, factorising, algebraic fractions and worked answers.
A-Level Edexcel Pure Mathematics Learning Booklet Standard Available
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What this resource covers
Index laws Expanding and simplifying expressions Factorising expressions Algebraic fractions Changing the subject where useful Fully worked answers
Included sections
Topic overview Key methods Worked examples Guided practice Exam-style questions Challenge questions Fully worked answers Revision checklist
P3
Quadratics and Inequalities
Clear step-by-step booklet covering quadratics, factorising, completing the square, the quadratic formula, discriminants and inequalities.
A-Level Edexcel Pure Mathematics Learning Booklet Standard Available
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What this resource covers
Factorising quadratics Completing the square Using the quadratic formula Interpreting the discriminant Solving quadratic inequalities Fully worked answers
Included sections
Topic overview Key methods Worked examples Guided practice Exam-style questions Challenge questions Fully worked answers Revision checklist
P4
Functions
Function notation, domains, ranges and inverse functions.
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P5
Graph Transformations
Translations, stretches and reflections of graphs.
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P6
Partial Fractions
Decomposing rational expressions for integration and algebra.
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P7
Coordinate Geometry: Lines
Straight lines, gradients and intersections.
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P8
Coordinate Geometry: Circles
Circle equations, tangents and intersections.
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P9
Parametric Equations
Parametric curves, gradients and modelling.
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P10
Sequences and Series
Arithmetic and geometric sequences and sums.
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P11
Binomial Expansion
Expanding powers and using approximations.
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P12
Trigonometry Basics
Radians, exact values and core trig graphs.
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P13
Trigonometric Identities
Identities, equations and proofs.
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P14
Trigonometric Modelling
Using trigonometric functions in context.
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P15
Exponentials and Logarithms
Laws of logs, exponential equations and graphs.
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P16
Exponential Modelling
Growth, decay and model interpretation.
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P17
Differentiation Basics
First principles, gradients and simple derivatives.
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P18
Differentiation Techniques
Product, quotient and chain rule methods.
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P19
Applications of Differentiation
Tangents, normals, stationary points and optimisation.
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P20
Integration Basics
Antiderivatives and definite integrals.
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P21
Integration Techniques
Substitution, parts and partial fractions.
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P22
Applications of Integration
Areas, differential equations and modelling.
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P23
Numerical Methods
Iteration, roots and numerical integration.
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P24
Vectors
Vector notation, lines and geometric problems.
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