HKDSE Mathematics M1 (Calculus and Statistics) Past Papers

The 2023 DSE Mathematics M1 paper exhibits a well-balanced yet challenging combination of Calculus and Statistics. Section A tests core concepts with moderate algebraic demands, while Section B requires strong modeling intuition, particularly in the complex substitution integration of Q12 and the multi-stage probability scenarios of Q9 and Q10.

The 2022 HKDSE Mathematics Module 1 (M1) exam presents a balanced but rigorous test of Calculus and Statistics. High-weight areas include Conditional Probability & Bayes' Theorem (19 marks), Applications of Differentiation (16 marks), and Applications of Binomial/Poisson Distributions (9 marks). Section B features deep integration concepts like the Trapezoidal Rule error analysis and complex optimization in population dynamics.

The 2021 HKDSE Mathematics M1 paper presented a balanced yet highly rigorous set of questions. Section A tested fundamental competency in calculus and probability with standard but algebraically intensive problems. Section B elevated the difficulty significantly with complex application tasks, particularly the integration by substitution in rate of change contexts (Q12) and inequality proofs linking the trapezoidal rule to concavity (Q11).