CIE AS Maths: Pure 1
Exam Questions

Expanding Brackets, Quadratic Graphs, Discriminants, Completing the square, Solving Quadratic Equations, Further Solving Quadratic Equations (Hidden Quadratics)

Linear Simultaneous Equations - Elimination, Linear Simultaneous Equations - Substitution, Quadratic Simultaneous Equations, Linear Inequalities, Quadratic Inequalities, Inequalities on Graphs

Language of Functions, Composite Functions, Inverse Functions

Sketching Polynomials, Reciprocal Graphs - Sketching, Solving Equations Graphically, Proportional Relationships

Translations, Stretches, Reflections

Combinations of Transformations

Modelling with Functions

Basic Coordinate Geometry, Parallel & Perpendicular Gradients, Equation of a Straight Line, Modelling with Straight Lines

Equation of a Circle, Finding the Centre & Radius, Bisection of Chords, Angle in a Semicircle, Radius & Tangent

Trigonometry - Definitions, Right-Angled Triangles, Non-Right-Angled Triangles

Graphs of Trigonometric Functions, Transformations of Trigonometric Functions

Radian Measure, Trigonometry Exact Values

Trigonometry - Simple Identities, Linear Trigonometric Equations, Quadratic Trigonometric Equations, Strategy for Trigonometric Equations

Modelling with Trigonometric Functions

Binomial Expansion

Arithmetic Sequences, Arithmetic Series

Geometric Sequences, Geometric Series

Language of Sequences & Series, Sigma Notation, Recurrence Relations, Modelling with Sequences & Series

Definition of Gradient, Definition of Derivatives, Differentiating Powers of x, Chain Rule

Gradients, Tangents & Normals, Increasing & Decreasing Functions, Second Order Derivatives, Stationary Points & Turning Points, Sketching Gradient Functions, Modelling with Differentiation inc. Optimisation, Connected Rates of Change

Fundamental Theorem of Calculus, Integrating Powers of x, Definite Integration, Reverse Chain Rule, Improper Integrals

Area Under a Curve, Area between a curve and a line, Area between 2 curves, Volumes of Revolution, Adding and Subtracting Volumes, Modelling with Volumes of Revolution