HKDSE Mathematics Past Papers

The 2025 HKDSE Mathematics Compulsory Part presented a challenging layout with enhanced cross-topic integration. Paper 1 featured complex coordinate geometry problems involving orthocentres and concyclicity, while Paper 2 tested conceptual depth in statistics and trigonometry.

The 2024 HKDSE Mathematics Compulsory Part exam maintained a balanced structure, but featured demanding geometric proofs and complex function transformations in Paper 1, while Paper 2 presented several non-traditional conceptual items that challenged candidates' precision.

The 2023 HKDSE Mathematics Compulsory Part presented a balanced mix of fundamental algebra in Section A(1) and highly demanding coordinate geometry and spatial visualization in Section B. Paper 1 Q19 (coordinates of in-centre and orthocentre) and Q17 (3D trigonometry projection) stood as major differentiators, while Paper 2 tested conceptual depth in logarithm functions and geometry properties.

The 2022 HKDSE Mathematics Compulsory Part Paper 1 presents a balanced mix of highly accessible core questions in Section A and highly demanding coordinate geometry and 3D trigonometry problems in Section B. Key discriminators include the properties of circle tangents, inscribed circles, and advanced interpretation of sequence limits.

The 2021 HKDSE Mathematics Compulsory Part exam presented a well-balanced yet algebraically rigorous challenge. Section A provided standard mark-earning opportunities in polynomials and inequalities, while Section B tested candidates with sophisticated coordinate geometry and folding 3D trigonometry. Question 19, in particular, demanded exceptional algebraic fluency and geometric insight, separating level 5** candidates from the rest.