The only international mathematics competition in HK every year!

Organizer: First Education Group

Members of the Organizing Committee:

9 Major Characteristics: 1. The only international mathematics competition holds the Final in Hong Kong every year.

3. The competition questions are designed by the mathematics competition organizations in the United States, the United Kingdom, Singapore and Hong Kong. Contestants can experience the international mathematical culture. 4. The competition is divided into a mathematics group and an Olympic mathematics group. Contestants can showcase their talents in mathematics. 5. The competition grades range from kindergarten to high schools, covering all grades.

GMEC Global Mathematics Elite Competition 2021’

USA's largest mathematics institution: Art of Problem Solving

Asia's largest mathematics organization: Chinese Mathematics Association

International Mathematical Association

2. GMEC is organized by First Education Group with Art of Problem Solving of USA, Chinese Mathematics Association of Taiwan and International Mathematical Association.

GMEC August Final: - Kindergarten K1: aged 3# K2: aged 4# K3: aged 5#

* Questions are in English and Chinese languages. * There are Multiple Choice and Fill in the Blank questions.

Competition Fee: USD130/1 entry, USD170/2 entries (Travel & accommodation can be arranged with extra fees) Competition Fee includes: August 8: GMEC Global Mathematics Elite Competition August 8: Mathematics Workshop, providing a platform for contestants to

PLAY math August 9: GMEC Award Ceremony August 9: Global Mathematics Elite Gala, A Talk with Mathematics Professor

- Grade 1-12# contestant's competition aged is determined by their age on Aug 14, 2021

* Each contestant will receive a copy of the 2020 papers after registration. The papers will be sent out on Friday.

GMEC Event Date: August 14-15, 2021

Application deadline: June 30, 2021

6. The First place winner in each participating region will have an opportunity to speak with the mathematics professor at the GMEC Mathematics EliteGala.

7. The World's First place winner will receive a full-fee scholarship to participate in the AoPS summer training camp.

8. The World's Second and Third place winner will receive a full-fee scholarship to participate in Taiwan Mathematics Elite Training Camp.

Competition Syllabus

Mathematics Syllabus

Kindergarten 1. Counting

Counting under 20 Number Sequence Comparison of quantity and size Money ($1, $5, $10)

2. Number Combination

Number under 10 3. Comparison of length, volume, weight and time 4. Sorting by two characteristics 5. Graphics & Space

3D shapes (excluding Cone) Define left & right Symmetry

6. Logical Reasoning

Pattern of numbers Pattern of Graphics

Grade 1 1. Integer & Number Sequence

Number under 200 Money ($1, $5, $10, $50, $100, $200) Paying money Number order

2. Addition & Deduction of & under 2-digit 3. Length with cm 4. Time & Date

Calendar Month, Date, Days of the week

5. Shape & Space

Triangle, Square, Rectangle, Circle 6. Basic Statics

Grade 2 1. Integer & Calculation

Number under 10,000 Calculation of number of or under 4-digit

2. Multiply 3-digit x 1-digit 3. Grouping 4. Time & Dates

Quarter, Half & Hour Day, Week, Month, Year Calendar

5. Weight, Volume, Length

Understand M & CM 6. Shape & Space

Understand parallel & perpendicular 2D shapes' surface, edge, vertices, vertex Perimeter

Grade 3 1. Integer & Calculation

Number under billion Calculation of number of or under 4-digit Even & Odd

2. Multiply 2,3,4-digit x 1,2,3-digit 2,3,4-digit / 1,2-digit 3. Basic Fraction & Decimal

Comparison of fraction Addition & Division of fraction with same denominator Understand, comparison and calculation of numbers with 1 decimal point.

4. Weight, Volume, Length

Understand M, CM & MM Understand KG & G Understand L & ML

5. Shape & Space

Understand angles & right-angle Understand straight & round angles Understand, cm2 & calculation of surface areas Understand Circle & Circumstances

6. Time

Relationship of hour, minute and second understanding of 24hours Calculation of time

Grade 4 1. Integer & Rounding

LCM, HCF, Factor Multiples, Common multiples, Least common multiples Calculation of 5-digit numbers 2,3,4-digit x 1,2,3-digit 2,3,4-digit / 2,3-digit Round up & round off

2. Fraction & Decimal

Fraction, Improper fraction, Mixed fraction Addition & Division of fraction with same denominator Multiply & Division of fractions Understand, comparison and calculation of numbers with 2 decimal points. Change of simple fraction and decimal numbers

3. Arithmetics 4. Shape & Space

Understand angles & right-angle Understand straight & round angles Understand, cm2 & calculation of surface areas Understand Circle & Circumstances

5. Time

Calculation of time 6. Weight, Volume, Length

Understand M, CM & MM Understand KG & G Understand L & ML

Grade 5-6 1. Common Factor & Common Multiple Application 2. Arithmetics of integers, fractions and decimal numbers 3. Percentage 4. 2D shapes

Calculation of Perimeter and Surface Area 5. 3D shapes

Understand and Calculation of Volume 6. Time

Calculation of time Multiplication & Division of time Understand of tones and KG

Grade 7-8 Arithmetics

Prime factorization of positive integers Linear equation in one variable Linear equation in two variables Law of Exponentiation Number sequence

Graphic & Measurement

Surface Area of polygons Volume of 3D shapes Angles & parallel lines Congruent triangle Pythagoras Theorem Cartesian Coordinate System

Statistics

Stem-and-leaf Diagram Histogram Average, Median and Mode

Grade 9-10 Arithmetics

Rational & Irrational numbers Polynomials Linear equation in two variables Inequalities

Graphic & Measurement

Surface Area & Volume of 3D shapes Trigonometry Equation of line Statistics Probability Expected Value Permutation & Combination

Grade 11-12 Arithmetic

Function Polynomial continued fractions Continuity equation Arithmetic Sequence & Geometric Sequence

Graphic & Measurement

Basic Properties of Circle Trigonometry

Statistics

Permutation & Combination Addition & Multiplication of probability

Olympiad Mathematics Syllabus

Kindergarten K1-K3 1. Comparison (Weight, Volume etc) 2. Number combination 3. Basic 3D shapes 4. Grouping (including quantity, graphics, half, quarter) 5. Logical reasoning 6. Find the difference (including graphics) 7. Time (Month, Date, Week, Yesterday, Today, Tomorrow) 8. Space & Direction 9. Sequence (number & graphics) 10. Fill in numbers 11. Symmetry 12. Game (pouring water, moving matches etc)

Grade 1 Number to 100 Money Addition & Subtraction Length & Grouping Time & Date 2D & 3D shapes

Grade 2 Number to 1000 Addition & Subtraction Multiplication & Grouping 2D & 3D shapes Year, Time & Date Meter & Centimeter

Grade 3 Multiplication & Division Perimeter & Surface Area Weight, Volume & Time Angle, Circle & Length Decimal & Fraction

Grade 4 Mixed Operation of Multiplication & Division Large Number & Rounding Decimal & Fraction Perimeter & Surface Area Triangle, quadrilateral & volume

Grade 5 Multiplication of decimal & fraction Ratio & percentage 2D shapes & Line symmetry Surface area & Volume Calculation of time

Grade 6 Surface Area & Volume of Cylinder Mixed Operation of fraction & decimal Speed Alignment Formula Ratio & Proportional Scale

Grade 7 Integers, Fractions and Decimals

Exponents and Powers

Algebraic Expressions

Simple Linear Equations

Lines and Angles

Comparing Quantities

The Triangle and its Properties

Symmetry

Congruence of Triangles

Rational Numbers

Perimeter and Area

Data Handling

Visualizing Solid Shapes

Practical Geometry

Grade 8

Rational Number

Squares and Square Roots

Cubes and Cube Roots

Exponents and Powers

Comparing Quantities

Algebraic Expressions & Identities

Linear Equations in One Variable

Understanding Quadrilaterals

Constructions & Mensuration

Visualizing Solid Shapes

Data Handling

Direct and Inverse Variations

Factorization

Introduction to Graphs

Playing with Numbers

Grade 9

Number Systems

Polynomials

Coordinate Geometry

Linear Equations in Two Variables

Introduction to Euclid’s Geometry

Lines and Angles

Triangles & Quadrilaterals

Areas of Parallelograms & Triangles,

Circles

Constructions

Heron’s Formula

Surface Areas and Volumes

Statistics

Probability

Grade 10

Real Numbers

Polynomials

Pair of Linear Equations in Two Variables

Quadratic Equations

Arithmetic Progressions

Triangles

Coordinate Geometry

Introduction to Trigonometry

Some Applications of Trigonometry

Circles

Constructions

Areas Related to Circles

Surface Areas and Volumes

Statistics

Probability

Grade 11 - 12

Sets, Relations and Functions

Principle of Mathematical Induction

Logarithms

Complex Numbers & Quadratic Equations

Linear Inequations

Sequences and Series

Trigonometry

Straight Lines

Conic Sections

Permutations and Combinations

Binomial Theorem

Statistics

Mathematical Reasoning

Limits and Derivatives

Probability

Basic 3D shapes