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Mathematics Project Competition for Secondary Schools (2021/22)

The Mathematics Project Competition for Secondary Schools is organised by the Mathematics Education Section, Curriculum Development Institute, Education Bureau. It aims at promoting students’ interest in learning Mathematics and developing students’ generic skills through project learning. The competition comprises two categories: Category A (Junior secondary project) and Category B (S1 mini-project).

School Year

2021/22

Organiser

Education Bureau

Website​

https://www.edb.gov.hk/en/curriculum-development/kla/ma/res/sa/mpc-mbrc.html

Leaflet

Chinese version only

Go to Chinese version
Students List

CHUI Tsz-hin
GOUW Juin-hao, Aaron
YUEN Tsz-chung
CHENG Chak-hin
TSUI Lok-tung
NG Yu-ching

Wong Shiu Chi Secondary School

Level

Junior Secondary

Award

Champion (Junior secondary project)

Awarded work​

Please refer to the Chinese webpage.

Theme of the Portfolio​

Introduction

Please refer to the Chinese webpage.

Awarded work

Extract
Students List

AU Cheuk-yi
LI Sze-wing, Jennifer
LI Tsz-yau
WONG Hin-lam
CHAN Hoi-chi, Galie

Diocesan Girls' School

Level

Junior Secondary

Award

1st runner-up (Junior secondary project)

Awarded work​

Celebrating Marion's Theorem: Correlations, Construction and Connections

Theme of the Portfolio​

Introduction

In this report, we attempted to prove Marion’s Theorem with a deductive approach. We also expanded on her discoveries by constructing variations of the original diagram, and attempted to prove the observations and special properties found. The idea was extended to equilateral and isosceles triangles, and then to parallelograms, rhombuses, squares and rectangles. This project has connected the younger generation of mathematicians to the older generations. Although this all started by simply connecting lines together, we have achieved our goal at the end: “Celebrating Marion’s Theorem: Correlation, Construction and Connection”.

Awarded work

Extract
Students List

HE Huang-zhen
CHENG Man-hei
LAM Kwan-ho
LEUNG Ka-hei
LI Lok-yin
WONG Ka-fun

Sha Tin Government Secondary School

Level

Junior Secondary

Award

2nd runner-up (Junior secondary project)

Awarded work​

The COVID-19 Testing Problem: Efficiency of Conducting Tests

Theme of the Portfolio​

Introduction

During the pandemic of COVID-19, the demand for virus testing dramatically increased, and so did the cost and waste caused by the tests. Traditionally, the subjects are tested individually, meaning that the number of tests conducted is the same as the number of people to receive testing. When a massive population needs to be tested, overloading in laboratories will be led and a tremendous amount of waste will be generated. In this paper, we investigated how to increase the efficiency of conducting tests. We estimate the total amount of tests used by different methods like pooling samples together and doing multiple groupings. We compared the results and found that the multiple grouping model is the optimum solution for our problem.

Awarded work

Extract
Students List

AU Cheuk-yi
LI Sze-wing, Jennifer
LI Tsz-yau
WONG Hin-lam
CHAN Hoi-chi, Galie

Diocesan Girls' School

Level

Junior Secondary

Award

Best presentation (Junior secondary project)

Awarded work​

Celebrating Marion's Theorem: Correlations, Construction and Connections

Theme of the Portfolio​

Introduction

In this report, we attempted to prove Marion’s Theorem with a deductive approach. We also expanded on her discoveries by constructing variations of the original diagram, and attempted to prove the observations and special properties found. The idea was extended to equilateral and isosceles triangles, and then to parallelograms, rhombuses, squares and rectangles. This project has connected the younger generation of mathematicians to the older generations. Although this all started by simply connecting lines together, we have achieved our goal at the end: “Celebrating Marion’s Theorem: Correlation, Construction and Connection”.

Awarded work

Extract
Students List

CHAN Sze-wing, Christine
IP Wing-chun, Ariel
JIANG Pak-yin, Yolanda
WONG Wing-yin, Audrey
WONG Yu-kiu, Yuuki

Diocesan Girls' School

Level

Junior Secondary

Award

Outstanding performance (Junior secondary project)

Awarded work​

Your Order has Arrived: How to Deliver Food Efficiently

Theme of the Portfolio​

Introduction

Due to the Covid-19 pandemic outbreak, the use of food delivery services is growing increasingly prevalent in our society. Different food delivery companies have adopted different methods to design routes for delivering orders. Selecting the right route is essential as it directly influences a company’s cost and profit. In order to design the optimal route, one must take into account many factors such as distance, the sequence of orders, the number of orders and customer experience, etc. In our project, we are going to develop a mathematical model to determine the optimal route for one or more riders to deliver food orders.

Awarded work

Extract
Students List

CHIK Heung-yin
CHUNG Ka-kit
SIN Chu-ching
WONG Ka-chun

Pui Ching Middle School

Level

Junior Secondary

Award

Outstanding performance (Junior secondary project)

Awarded work​

Investigation on the Coin Throwing Game

Theme of the Portfolio​

Introduction

In this project, we find the probability of winning the coin throwing game. That is, the probability of a coin fitting on tessellated patterns. The tessellation patterns include square, rectangle, equilateral triangle, arbitrary triangle and regular hexagon. General formulas are found depending on the number of tessellated shapes and their size.

Awarded work

Extract
Students List

CHAN Chung-him
CHAN Yin-hang
CHOW Pun-hin
HUNG Chun-ho
ZHANG Chit-pan
ZHANG Lo-hua

Wong Shiu Chi Secondary School

Level

Junior Secondary

Award

Outstanding performance (Junior secondary project)

Awarded work​

Rock, Paper, Scissors or ?

Theme of the Portfolio​

Introduction

We usually play rock, paper or scissors in our daily life to randomly and fairly to determine who is the winner. However, it is quite time-consuming if the number of players increases. We investigate some more ways to play a similar game to Rock Paper Scissors which is more efficient to determine a winner in this project.

Awarded work

Extract
Students List

HE Huang-zhen
CHENG Man-hei
LAM Kwan-ho
LEUNG Ka-hei
LI Lok-yin
WONG Ka-fun

Sha Tin Government Secondary School

Level

Junior Secondary

Award

Mathematical Modelling Award (Junior secondary project)

Awarded work​

The COVID-19 Testing Problem: Efficiency of Conducting Tests

Theme of the Portfolio​

Introduction

During the pandemic of COVID-19, the demand for virus testing dramatically increased, and so did the cost and waste caused by the tests. Traditionally, the subjects are tested individually, meaning that the number of tests conducted is the same as the number of people to receive testing. When a massive population needs to be tested, overloading in laboratories will be led and a tremendous amount of waste will be generated. In this paper, we investigated how to increase the efficiency of conducting tests. We estimate the total amount of tests used by different methods like pooling samples together and doing multiple groupings. We compared the results and found that the multiple grouping model is the optimum solution for our problem.

Awarded work

Extract
Students List

CHOI Wing-yu
HUANG Wan-fei
KWOK Hin-shun
CHAN Hoi-nam

Christian Alliance S C Chan Memorial College

Level

Secondary 1

Award

Outstanding performance (S1 mini-project)

Awarded work​

Please refer to the Chinese webpage.

Theme of the Portfolio​

Introduction

Please refer to the Chinese webpage.

Awarded work

Students List

AU Wing-hei, Jazlyn
MAI Polly
WONG Hoi-ching
CHAU Yu-yiu, Zabrina
HO Tsz-yan, Antonia

Diocesan Girls' School

Level

Secondary 1

Award

Outstanding performance (S1 mini-project)

Awarded work​

The Planning of the Fire Evacuation Routes for our School

Theme of the Portfolio​

Introduction

In this project, we aim to plan the evacuation routes of our school as we would like to see if the existing routes can be further improved. We started by taking measurements in the school. Next, we gathered the measurements and created 2 spreadsheets. In sheet 1, we included all venues, staircases and corridors to indicate the travelling time and the number of people that can evacuate along neighbouring venues in all possible routes. Sheet 2 is the planning for all routes and the calculation of the time needed for each route. At last, we will compare the planned routes of this project to the existing evacuation routes.

Awarded work

Extract
Students List

AU Wing-hei, Jazlyn
MAI Polly
WONG Hoi-ching
CHAU Yu-yiu, Zabrina
HO Tsz-yan, Antonia

Diocesan Girls' School

Level

Secondary 1

Award

Mathematical Modelling Award (S1 mini-project)

Awarded work​

The Planning of the Fire Evacuation Routes for our School

Theme of the Portfolio​

Introduction

In this project, we aim to plan the evacuation routes of our school as we would like to see if the existing routes can be further improved. We started by taking measurements in the school. Next, we gathered the measurements and created 2 spreadsheets. In sheet 1, we included all venues, staircases and corridors to indicate the travelling time and the number of people that can evacuate along neighbouring venues in all possible routes. Sheet 2 is the planning for all routes and the calculation of the time needed for each route. At last, we will compare the planned routes of this project to the existing evacuation routes.

Awarded work

Extract

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Last revision date : 3 May 2025
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