[Link] 2425 Math Competition Class Padlet (Internal access only)
[Link] HKMO Past Paper
[Link] PCIMC Past Paper
[Link] IMO Prelim Past Paper
[Link] AoPS: Olympiad Mathematics Topics
Notes 1: Arithmetic, Geometric, Fibonacci sequences
Problem Set 1 - General term & Sequence pattern
Problem Set 2 - Arithmetic sequence
Problem Set 3 - Geometric sequence
Problem Set 4 - Fibonacci sequence
Notes 2: Recursively defined sequences
Problem Set 5 - Recurrence relation
Problem Set 6 - Recurrence practical problems
Notes 3: Polynomial interpolation of sequences
Problem Set 7 - Sum of k-th powers of 1 to n
Problem Set 8 - Polynomial interpolation
Notes 4: Convergence of sequences
Notes 5: Convergence of series
Problem Set 9 - Sequence and series convergence
Notes 6: Harmonic series
Problem Set 10 - Harmonic series
Notes 7: Finding values of series (Part 1)
Problem Set 11 - Shifting terms
Problem Set 12 - Telescoping sum
Problem Set 13 - Partial fraction
Notes 8: Finding values of series (Part 2)
Problem Set 14 - Generating function
[Link] List of mathematical series
Notes 1: Polynomial factorization
Problem set 1 - Division theorem, Remainder theorem, FTA
Problem set 2 - General factorization
Problem set 3 - Rational root theorem
Notes 2: Roots relation
Problem set 4 - Symmetric functions
Problem set 5 - Roots relation of quadratic equations
Problem set 6 - Vieta's formulas & Newton's identities
Problem set - Nested surd
Problem set - Base system
Problem set - Functions
Problem set - Floor and Ceiling functions
Notes 1: Factors and Multiples
Problem set 1 - Divisibility test
Problem set 2 - Factors and Multiples
Problem set 3 - Trailing zeros
Problem set 4 - No. of factors and Sum of factors
Problem set 5 - Factor equation
Notes 2: The Euclidean algorithm
Problem set 6 - H.C.F. and L.C.M.
Problem set 7 - Euclidean algorithm
Problem set 8 - Linear Diophantine equation
Notes 3: Modular arithmetic
Notes 4: Euler-phi function, Special congruences, Fast modular exponentiation
Problem set 9 - Modular arithmetic (Remainder)
Problem set 10 - Modular arithmetic (Congruence system)
Problem set 11 - Modular arithmetic (Miscellaneous)
Notes 5: Application of Number theory by K. Wan (Internal access only)
Geometry notes by M. Kwok (Internal access only)
[Link] Theorems about circles
[Link] Theorems about triangles
Outline of Topics
Combinatorics notes by T. Ip (Internal access only)
Handwritten note on Recurrence and Markov chain
[Link] Stars and bars (combinatorics)
[Link] 日本科学未来館『フカシギの数え方』
[Link] Meaning of expected value: St. Petersburg paradox