IM²C (Singapore)
IM²C (International Mathematical Modelling Challenge) is an international competition on mathematical modelling. The purpose of the IM²C is to promote the teaching of mathematical modelling and applications at all educational levels for all students.
It is based on the firm belief that students and teachers need to experience the power of mathematics to help better understand, analyze and solve real world problems outside of mathematics itself – and to do so in realistic contexts.
IM²C (Singapore)
IM²C (Singapore) is for Singapore Secondary and JC students. IM²C (Singapore), which takes a similar form and structure as the international edition of IM²C, is jointly organised by the Academy of Singapore Teachers, National Junior College and Raffles Girls School.
In their teams, participants must work collaboratively over a period of five days to solve a problem (set by the IM²C) by developing and applying an original mathematical model. Each team consists of four students from the same school.
During the five consecutive days, teams will need to understand and analyse the given problem, hypothesize, test, and develop a working solution, before preparing and submitting a report on their solution to the Singapore judging panel. The best two solutions then progress to compete against the other participating countries at the IM²C on an international level.
Participation is free (that is, there is no fee), but teams must first register through their school's team advisor. Participants of the IM²C (Singapore) will receive certificates in one of the following categories.
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High Distinction
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Distinction
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Merit
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Commendation
IM²C (Singapore) 2024 Results
IM²C (Singapore) 2024 attracted 52 teams.
Hwa Chong Institution (2) and Raffles Girls' School (Secondary) were awarded the High Distinction. The team reports for these two schools were submitted to represent Singapore at the international round of IM²C 2024.
Congratulations to Team Hwa Chong Institution and Raffles Girls' School (Secondary) for being accorded the Meritorious and Honorable Mention Award respectively at IM²C 2024.
Results for IM²C 2024 international round can be found here:
https://immchallenge.org/Contests/2024/Results.html
This year’s IMMC problem involves a deterministic model. The general idea is to develop a model for ascertaining the readiness of households for pet ownership and extending the model to project future pet ownership across different geographical regions. This problem is quite open and the problem statement contains quite a lot of details, and some very specific requirements for teams to work on.
Because there are many possibilities, it is important for teams to state reasonable assumptions, and justify them very clearly at the outset. Factors contributing to the decision must also be identified, and then quantified into variables that can be built into the model. These are then pieced together to relate to some quantifiable dependent variable(s), which one could then use a suitable method to calculate or solve or estimate or approximate.
In this respect, a good report would therefore be one that not only clearly defines the variables based on well justified assumptions, but also one that systematically lays out the modelling process and explains chosen method of solution clearly. The two reports picked by the final round judges were selected to be the two best among the reports because they did just that; the reports were clear in explanation, clean in presentation, comprehensive in describing the team’s modelling process and concise in analysing the outcomes. The mathematical modelling approach employed was also creative and ingenious.
That said, all the teams must be congratulated for constructing a quantitative decision metric to determine preparedness of households for pet ownership and extended the mathematical models to project future pet ownership and retention. Also, team advisors had provided invaluable support to IM²C (Singapore) with an enriching experience in doing the preliminary judging.
So, to all teams and their team advisors, well done, and congratulations!
IM²C (Singapore) by teachers for teachers
Here are the results of IM²C (Singapore) 2024.
(schools listed in alphabetical order within each category)
Click here to download the 2024 Problem Statement
Click here to download the Solution submitted by Hwa Chong Institution (2)
Click here to download the Solution submitted by Raffles Girls' School (Secondary)
IM²C (Singapore) 2023 Results
IM²C (Singapore) 2023 attracted 50 teams.
Victoria Junior College and Dunman High School were awarded the High Distinction. The team reports for these two schools were submitted to represent Singapore at the international round of IM²C 2023.
Congratulations to Team Victoria Junior College and Team Dunman High School for being accorded the Meritorious and Honorable Mention Award respectively at IM²C 2023.
Results for IM²C 2023 international round can be found here:
https://immchallenge.org/Contests/2023/Results.html
This year’s IMMC problem involves a deterministic model. The general idea is to develop a model for optimal land use planning that balances community values and business profits. The model needs to allow flexibility to adjust planning decisions in response to other land use developments and environments. This problem is quite open and the problem statement contains quite a lot of details, and some very specific requirements for teams to work on.
Because there are many possibilities, it is important for teams to state reasonable assumptions, and justify them very clearly at the outset. Factors contributing to the decision must also be identified, and then quantified into variables that can be built into the model. These are then pieced together to relate to some quantifiable dependent variable(s), which one could then use a suitable method to calculate or solve or estimate or approximate.
In this respect, a good report would therefore be one that not only clearly defines the variables based on well justified assumptions, but also one that systematically lays out the modelling process and explains chosen method of solution clearly. The two reports picked by the final round judges were selected to be the two best among the reports because they did just that; the reports were clear in explanation, clean in presentation, comprehensive in describing the team’s modelling process and concise in analysing the outcomes. The mathematical modelling approach employed was also creative and ingenious.
That said, all the teams must be congratulated for constructing a mathematical model to quantify land use planning decisions that balances community values and business profits. Also, team advisors had provided invaluable support to IM²C (Singapore) with an enriching experience in doing the preliminary judging.
So, to all teams and their team advisors, well done, and congratulations!
IM²C (Singapore) by teachers for teachers
Here are the results of IM²C (Singapore) 2023.
(schools listed in alphabetical order within each category)
Click here to download the 2023 Problem Statement
Click here to download the Solution submitted by Victoria Junior College
Click here to download the Solution submitted by Dunman High School
IM²C (Singapore) 2022 Results
IM²C (Singapore) 2022 attracted 48 teams.
Victoria Junior College and Anglo-Chinese Junior College were awarded the High Distinction. The team reports for these two schools were submitted to represent Singapore at the international round of IM²C 2022.
Congratulations to Team Victoria Junior College for being accorded the Meritorious Award at IM²C 2022.
Here are the results of IM²C (Singapore) 2022.
Click here to download the 2022 Problem Statement
Click here to download the Solution submitted by Victoria Junior College
Click here to download the Solution submitted by Anglo-Chinese Junior College
IM²C (Singapore) 2021 Results
IM²C (Singapore) 2021 attracted 49 teams.
Hwa Chong Institution and Victoria School were awarded the High Distinction. The team reports for these two schools were submitted to represent Singapore at the international round of IM²C 2021.
Hwa Chong Institution has emerged as one of two top teams, out of 51 teams from 27 countries/regions, to be accorded the Outstanding Award in the international round of IM²C.
Victoria School was accorded the Honorable Mention award.
Congratulations to Hwa Chong Institution and Victoria School for doing Singapore proud!
Here are the results of IM²C (Singapore) 2021.
Click here to download the 2021 Problem Statement
Click here to download the Solution submitted by Hwa Chong Institution
Click here to download the Solution submitted by Victoria School
IM²C (Singapore) 2020 Results
IM²C (Singapore) 2020 attracted 34 teams.
Anglo Chinese School (Independent) and Hwa Chong Institution were awarded the High Distinction. The team reports for these two schools were submitted to represent Singapore at the international round of IM²C 2020.
Anglo Chinese School (Independent) has emerged as one of two top teams, out of 54 teams from 30 countries/regions, to be accorded the Outstanding Award in the international round of IM²C.
Hwa Chong Institution was accorded the Honorable Mention award.
Congratulations to Anglo Chinese School (Independent) and Hwa Chong Institution for doing Singapore proud!
You can view the video of the virtual award ceremony here.
Here are the results of IM²C (Singapore) 2020.
to download the IM²C 2020 Problem Statement
to download the Solution submitted by Anglo-Chinese School (Independent)
to download the Solution submitted by Hwa Chong Institution
Below are the results of the national challenges over the past years.
IM²C (Singapore) 2019 Results
The IM²C (Singapore) 2019 Challenge attracted 27 teams. Overall, there were a few excellent reports and a fair number of very good attempts at solving the problem. This year, the problem is a very open and general modelling task and a number of different approaches were adopted by the various teams.
All teams must be congratulated for the fine effort and achievement in completing the task.
Ultimately, two teams have emerged as the judges' pick for the international round.
Well done, everyone! Here are the results ...
to download the IM²C 2019 Problem Statement
to download the Solution submitted by Anglo-Chinese School (Independent)
to download the Solution submitted by Hwa Chong Institution
IM²C (Singapore) 2018 Results
The IM²C (Singapore) 2018 Challenge attracted teams from 15 schools. The final judging panel was impressed by the overall standard of the reports. It was a very difficult task to pick the top two teams for the international round, and each of the 15 teams must be congratulated and commended for their achievement and accomplishment.
Well done! Here are the results ...
