HKDSE Math — Syllabus & All Topics

Browse every topic in the HKDSE Mathematics Compulsory Part. Each page covers the key exam testing points, DSE-style practice examples, and a direct link to generate a live practice question in SketchMath Chat.

Getting ready for the exam?

Mock papers
Formula sheet

Taking M1 or M2, or still deciding?

DSE M1 notes
DSE M2 notes
M1 vs M2

Geometry & Trigonometry

These topics rely on spatial reasoning. SketchMath renders live GeoGebra diagrams so you can see shapes, angles, and curves update as you change parameters.

Equations of Straight Lines
Basic Properties of Circles
Centres of Triangles
Equations of Circles
Locus
More about Trigonometry
3D Trigonometry

Functions & Graphs

Visualize function transformations, asymptotes, and intercepts with interactive graphing tools.

Functions and Graphs
Exponential & Logarithmic Functions
More about Graphs of Functions

Algebra

These topics are graded on method marks. SketchMath provides line-by-line algebraic working structured to match the HKDSE marking scheme.

Quadratic Equations in One Unknown
More about Polynomials
More about Equations
Inequalities & Linear Programming
Arithmetic & Geometric Sequences
Variations

Statistics & Probability

Master counting techniques, probability calculations, and statistical analysis with step-by-step guidance.

Measures of Dispersion
Permutations and Combinations
More about Probability