How to Use This Book
The Advanced Level (A/L) is the most important school examination a Sri Lankan student will face. For students in the Physical Science stream, who study Combined Mathematics, Physics, and either Chemistry or Information and Communication Technology (ICT) as their third subject, it is also the gateway to engineering, technology, information technology, architecture, the physical sciences, and many other careers. The subjects are demanding because they must be learned together: the mathematics supplies the language, physics supplies the laws of nature, chemistry supplies the behaviour of matter, and ICT supplies the tools of computation and information.
This book is a single guide to all four subjects. It does not replace the official syllabus, your teachers, or your textbooks. It aims to do three things that a student needs and rarely finds in one place: to show the whole path from Grade 12 to university and the engineering professions; to explain the main ideas, laws, methods, and formulae of each subject in a clear and connected way, with worked examples; and to teach the study skills and examination technique that turn knowledge into marks.
How the book is organized.
Part One: The A/L Pathway (Chapters 1–3) explains the A/L system, the Physical Science stream, the Z-score and university admission, engineering fields and careers, and how to study and sit the examinations.
Part Two: Combined Mathematics (Chapters 4–7) covers algebra and functions, trigonometry, coordinate geometry, vectors and complex numbers, calculus, mechanics, and probability and statistics.
Part Three: Physics (Chapters 8–13) covers measurement, mechanics, oscillations and waves, optics, thermal physics, properties of matter, electricity and magnetism, electronics, and modern physics.
Part Four: Chemistry (Chapters 14–18) covers atomic structure and bonding, the mole and gases, energetics, equilibria, kinetics, electrochemistry, inorganic chemistry, and organic chemistry.
Part Five: Information and Communication Technology (Chapters 19–22) covers computer systems, data representation, digital logic, operating systems, networks, systems analysis, databases, programming, web development, and the Internet of Things.
Part Six: Putting It Together (Chapters 23–24) shows how the four subjects connect in engineering practice, how to use computation to solve problems, and how to plan the two years of study.
Appendices provide formula sheets, physical constants, a periodic-table study guide, and a glossary.
Each chapter ends with Common Mistakes and Practice Questions, with answers to the numerical questions in square brackets so that you can check your work.
A note on the syllabus. The content, time allocations, and examination format of the A/L are set by the National Institute of Education (NIE) and the Department of Examinations. They are revised from time to time, and the Ministry of Education has announced a wide programme of education reform that begins in 2026 with Grades 1 and 6 and may later reach the senior grades (Sunday Observer, 2025). Always check the current NIE syllabus, the Department of Examinations circulars, and your school’s instructions for the exact topics and exam structure that apply to you. This book follows the established content of the A/L Physical Science stream and the physical and mathematical principles that underlie it, which do not change with administrative reforms.
A note on sources. In-text citations use APA 7th edition (author, year). They refer to standard textbooks and reference works, to the international system of units and physical constants, to research on effective learning, and to current web sources checked in October 2026. Full references are at the end of the book. Textbooks are cited for the established science and mathematics they contain, and page numbers are not given. Statements about the examination system, university admission, and syllabus structure are drawn from the web sources and should be checked against the official sites of the Department of Examinations, the NIE, and the University Grants Commission (UGC).