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.

Looking for a full mock exam instead?

Browse HKDSE Math Mock Paper 1 and Paper 2 for free.

Mock Paper 1Mock Paper 2

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.

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

Functions & Graphs

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

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Functions and Graphs
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Exponential & Logarithmic Functions
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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.

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

Statistics & Probability

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

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Measures of Dispersion
Step-by-Step Solver
Permutations and Combinations
Step-by-Step Solver
More about Probability