Properties of determinants, matrix inversion, and solving systems of linear equations using Cramer’s Rule and Gaussian Elimination.
Widely used in Hong Kong sixth-form colleges during the 2000s. It features rigorous explanations, step-by-step proofs, and excellent exercise sets mirroring actual A-level questions.
When searching for a textbook or a modern PDF equivalent, a few definitive titles stand out. These books were the staples of Hong Kong classrooms during the A-Level era. 1. Pure Mathematics (Volumes 1 & 2) by J.K. Backhouse hkale pure maths textbook pdf new
To understand the value of its textbooks, one must first grasp the breadth of the syllabus. The curriculum, formally outlined in the Pure Mathematics Curriculum and Assessment Guide (Advanced Level) , was divided into two core areas:
The Pure Mathematics syllabus was widely regarded as one of the most rigorous pre-university mathematics courses globally. While the HKALE was replaced by the HKDSE in 2012, its textbooks and past papers remain highly sought-after by students and educators for their depth and challenging problem sets. Top HKALE Pure Mathematics Textbooks When searching for a textbook or a modern
Scalar products, vector products, triple products, and applications to 3D geometry (lines and planes). Calculus and Real Analysis
The HKALE Pure Mathematics syllabus was significantly more extensive than current high school standards, covering: Pure Mathematics (Volumes 1 & 2) by J
For those who prefer a physical "new" copy, second-hand markets are surprisingly rich sources. Sellers on Carousell often list complete sets of the Y.L. Ng & K.M. Pang series or even self-published notes. Buying a second-hand textbook gives you a tangible copy for annotation and study without the eye strain of a PDF.
This series is celebrated for its thorough approach, often considered a bit more challenging than the standard curriculum, which helps build a stronger mathematical foundation. The books serve as all-in-one guides, comprising teaching texts, numerous worked examples, targeted exercises, and even full solution sets. While a comprehensive PDF of the 3rd Edition might be the ultimate "new" find, a highly valuable PDF of a related, nearly identical text titled exists and is an excellent alternative. This version is based on the same curriculum (1992 syllabus) and was crafted by an author who spent six years refining the manuscript from his teaching notes, which was then tested across multiple schools.