Cambridge (CIE) AS Maths: Pure 1
Exam Questions

Expanding Brackets, Quadratic Graphs, Discriminants, Completing the square, Solving Quadratic Equations, Solving Hidden Quadratics using Substitutions

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

Language of Functions, Composite Functions, Inverse Functions

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

Translations, Stretches, Reflections

Combinations of Transformations

Modelling with Functions

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

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

Definitions of Trigonometric Functions, Right-Angled Triangles, Non-Right-Angled Triangles

Graphs of Trigonometric Functions, Transformations of Trigonometric Functions

Radian Measure, Trigonometry Exact Values

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

Modelling with Trigonometric Functions

Binomial Expansion

Arithmetic Progressions, Sum of Arithmetic Progressions

Geometric Progressions, Sum of Geometric Progressions

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

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 (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 & a Line, Area Between 2 Curves, Volumes of Revolution, Adding & Subtracting Volumes, Modelling with Volumes of Revolution