Model Answers in Pure Mathematics for A-Level Students provides a set of solutions that indicate what is required and expected in an Advanced Level examination in Pure Mathematics.
This book serves as a guide to the length of answer required, layout of the solution, and methods of selecting the best approach to any particular type of math problem. This compilation intends to supplement, not replace, the normal textbook and provides a varied selection of questions for practice in addition to the worked solutions.
The subjects covered in this text include algebra, trigonometry, coordinate geometry, and calculus.
This publication is valuable to students; working through and coping with the practice questions will help them face advanced mathematical examinations with confidence.

Acknowledgments
Introduction

Algebra

Solution of Equations

Roots of Quadratic Equations

Roots of Cubic Equations

Approximation to the Root of an Equation

Determination of Laws

Permutations, Combinations and Probability

Identities

Identities and Inequalities

Series

Partial Fractions and the Binomial Theorem

Series and Logarithms

Trigonometry

Trigonometrical Identities

Trigonometrical Equations

Inverse Trigonometrical Functions

More Trigonometrical Identities and Equations

Circles of a Triangle

Trigonometrical Problems

Three-Dimensional Problems

Three-Dimensional Geometry

Spheres and Cones

Coordinate Geometry

Straight Line

Circle

Parabola

Ellipse

Hyperbola

Two Conies

Calculus

Differentiation

Differentiation Applied to Graphs

Stationary Values

Differentiation and Integration

Integration

Areas

Applications of Integration