Hong Kong Mathematics Olympiad

Heat Events Questions

									1989
1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
2000	2001	2002	2003	2004	2005	2006	2007	2008	2009
2010	2011	2012	2013	2014	2015	2016	2017	2018	2019
	2021	2022	2023	2024

Construction by ruler and compasses 尺規作圖實例、題解和證明

Final Events Questions

		1982	1983	1984	1985	1986	1987	1988	1989
1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
2000	2001	2002	2003	2004	2005	2006	2007	2008	2009
2010	2011	2012	2013	2014	2015	2016	2017	2018	2019
			2023	2024

Heat Events Answers

									1989
1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
2000	2001	2002	2003	2004	2005	2006	2007	2008	2009
2010	2011	2012	2013	2014	2015	2016	2017	2018	2019
	2021	2022	2023	2024

Final Events Answers

		1982	1983	1984	1985	1986	1987	1988	1989
1990	1991	1992	1993	1994	1995	1996	1997	1998	1999
2000	2001	2002	2003	2004	2005	2006	2007	2008	2009
2010	2011	2012	2013	2014	2015	2016	2017	2018	2019
			2023	2024

Classified Questions

Algebra

Identities	x+1_over_x
Quadratic Equation	Completing the squares	Discriminant	Quadratic Graph	Relation % roots and coefficients
Equation	Absolute Values	Binomial Theorem	d-v-t	Simultaneous equations	Symmetric Function	System of linear equations
Sum of non-negative terms = 0
Function	Binary operation
index	index equation	4a = 25b = 10	Logarithms	Logarithmic Equation
AM ≧GM	inequality_absolute_value	Linear inequality	Maximum and minimum	number inequality	Quadratic inequality
Division Algorithm	Remainder and Factor
Surds	sqrt(a+b-2sqrt ab)	Irrational Equation
Complex_numbers	Percentage	Profit and loss	Ratio

Combinations Probability Statistics

Addition rule

Combinations

Counting

Factorial

Multiplication rule

Simple Probability

Statistics

Coordinate_Geometry

Angle_%_2_lines	Area	Area bounded by st lines	Cocircle	Collinear points	Distance	Family of st lines
Parallel lines	Parallelogram	Perpendicular lines	Point of division	Polar Coordinates	Slopes	Straight lines
Transformation Cogeometry

Geometry

Angles	Area and volume of similar figures	Congruent triangles	Euler	Mid point Intercept Equal Ratio	Polygon	Pythagoras
Shortest distance	Similar triangles	Symmetry	Tessellation	Transformation Geometry	Triangle inequality	Simple circle
Angles in circle	chords	Concyclic points	Intersecting chords	Tangent ^ radius	Tangent property	alternate segment
Centre of triangles

Number theory

Divisible or remainder	2	3	4	5	6	7	9
10	11	13	15	30	38	63	72
81	97	100	121	287	1000	1996	10000
Arithmetic	Coding	H.C.F. & L.C.M.	Diophantine equation	Estimation	Difference of two squares	Difference of two squares factor	Factor
Integral part	Integral root	Least fraction	No or sum of factors	Number System	Letter unknown equation	Sum and Difference of Cubes	xy+x+y

Series

Arithmetic sequence	Arithmetic Series	Geometric Series	number patterns	Product of 4 consecutive integers	Recurrence sequence
Repeating decimals	Series	Telescope	Sum of squares of integers	Sum of Cube of integers	Sum of product of integers

Trigonometry

0.5absinC	0.5bh	area same height different bases	Arc Sector	3D
Mensuration	SinCosTan	Sine rule	Cosine rule	Max and min of trigo expression
Trigonometric Equation	Trigonometric Expression	Trigonometric Graphs	sin x + cos x = 0.2	compounded angles

HKMO Papers (EDB)

Last updated: 17th November, 2024.