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What the Book is about

The Ultimate Self-help guide for all your Mathematical Needs

This book covers Paper 2 of the Higher Level Leaving Certificate (LC) Maths Course. It can be used as a text book in school both in fifth year and sixth year or as a self-study aid at home. It can also be used as a revision book as it has numerous worked examples and hints to help you with the exam. Good luck with your revision and have fun.


Each section is full of examples showing you how to solve problems. Tricks and steps for solving problems are included to simplify the process. There are loads of exercises for you to practice what you have learned. The answers to the exercises are provided at the end of each section. If you experience difficulties with these exercises go online to our website where experienced teachers at the Maths Forum are standing by to answer your queries and help you with your problems.


There are Revision Questions at the end of each section. These are 3 part questions similar to LC questions. The answers and hints on how to solve these questions are on this website.



LC Higher Level, Paper 2

Paper 2 has 11 questions. You must attempt 6 questions
( Five from Section A and one from Section B)

Section A (Answer five Questions)
Questions 1: Circle
Question 2: Vectors
Questions 3: Line
Questions 4 & 5: Trigonometry
Question 6 & 7: Discrete Maths
Section B (Answer one Question)
Question 8: Calculus Option
Question 9: Further Probability (not covered in this book)
Question 10: Groups (not covered in this book)
Question 11: Further Geometry (not covered in this book)

Circle: Line and Circle, Intersecting Circles, Parametric Equation of a Circle
Click on the Magic Cover to download sample pages from the Circle Section.

Contents of the Circle Section

Vectors: Basic Vectors, i & j Vectors, Dot Product
Click on the Magic Cover to download sample pages from the Vectors Section.

Contents of the Vectors Section

Line: Angle between Lines, Concurrent Lines, Linear Transformations
Click on the Magic Cover to download sample pages from the Line Section.

Contents of the Line Section

Trigonometry: Trig Equations, Trig Identities, Inverse Trig
Click on the Magic Cover to download sample pages from the Trigonometry Section.

Contents of the Trigonometry Section

Discrete Maths: Counting Techniques, Statistics, Difference Equations, Probability
Click on the Magic Cover to download sample pages from the Discrete Maths Section.

Contents of the Discrete Maths Section

Calculus Option: Integration by Parts, Max/Min Modelling, Ratio Test, McLaurin Series
Click on the Magic Cover to download sample pages from the Calculus Option Section.

Contents of the Calculus Option Section

Extra Topics: Taking a Limit, Periodic Functions, All the Proofs
Click on the Magic Cover to download sample pages from the Extra Topics Section.

Contents of the Extra Topics Section

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