### Singapore Mathematics Project Festival Resutls 2018

### **Junior Section**

Silver Medal with Excellent Presentation.

School/Project Title | Supervisor/Student(s) |

National Junior College | Tjhin Ke Ming |

Scrutiny of winners and tournaments | Allysa Tan Li Ying Cao Jialin Marianna |

Silver Medal.

School/Project Title | Supervisor/Student(s) |

NUS High School of Mathematics and Science | Chia Vui Leong |

The problem of rooms | Alexander Goo Zong Han Oliver James Tan Paul Seow Jian Hao |

Bronze Medal.

School/Project Title | Supervisor/Student(s) |

Hwa Chong Institution | Zong Lixing |

Monopoly geniuses | Marcus Ng Chua Rui Hong Chan Pierre Yeap |

NUS High School of Mathematics and Science | Chai Ming Huang |

Bloxorz | Li Yue Chen Lim Rui Yuan Vishal Mohanty |

NUS High School of Mathematics and Science | Jiang Zewei |

Analyzing Fibonacci sequence by big data technologies | Trivikram Mohan Yen Jun Hung |

Methodist Girls’ School | Karen Chia |

The sky is not the limit — infinity is | Christie Tang Su-Wei Lauren Yeo Jen-Yin Li Ai Shin Celeste Shannon Leung Fee Ming |

Hwa Chong Institution | Wang Qian |

House of math | Calen Tang Asher Ng Daniel Lau Hayden Lim |

Nanyang Girls’ High School | Caren Hui |

TopS | Neo Yi Xin Tan Jia Shuen Maegan Ang Yan Lin |

NUS High School of Mathematics and Science | Chia Vui Leong |

The prisoner hat problem | Johnson Kathiravan Leong Jiandi Nathanael |

Paya Lebar Methodist Girls’ School (Secondary) | Wong Khai Yu |

Classroom arrangement | Seet Seow Chee Soon Hui En Sarah Lum Jie Qi Stef |

### **Senior Section**

Gold Medal with Excellent Presentation

School/Project Title | Supervisor/Student(s) |

NUS High School of Mathematics and Science | Lee Chan Lye |

Sum of cubes equal to squares of sums | Andrew Yapp Wei Rong Gnoh Cheng Yi |

NUS High School of Mathematics and Science | Lee Tuo Yeong |

A refinement of Young’s inequality | Raghavendra Narayan Rao |

Silver Medal.

School/Project Title | Supervisor/Student(s) |

Hwa Chong Institution | Chen Zenghui |

Ordered Randomness | Lee Qixiu Galen Loh Yan Xun Timothy Benson Lin Zhan Li |

Hwa Chong Institution | Zong Lixing Ping-pong mathlete Wang Ningli Chen Tianhao Mao Wenda |

Bronze Medal.

School/Project Title | Supervisor/Student(s) |

Dunman High School | Khoo Geok Hwa |

Measuring congestion in Mass Rapid System in Singapore | Lim Li Fan Levant Poh Say Keong Chan Jia Le Kevin Liao Shih-Wei |

Catholic High School | Chng Xun Qi Tay Kew Yeow Glenn |

Getting a billiard ball from point A to B — The Math behind playing pool | Lee Keng Yan Lau Yu Yang Aidan Keith Tan Jia Jun Noah Chia Yu Shiuan |

Clementi Town Secondary School | Zulhilmi Bin Zulkiflee |

Spectrum squares | Sun Zihao Michelle Jamie Zhang Yu Xiao Liyang |

Commonwealth Secondary School | Eugene Lee |

Marion Walter’s theorem | Zhang Hanwen Nyan Lin Htet |

Hwa Chong Institution | Zong Lixing |

One touch drawing | Lim An Jun Luo Ling Ke Ng Yu Peng Shi Cheng |

Nanyang Girls’ High School What happens on the Cartesian plane | Elizabeth Liow Wang Yihan |

NUS High School of Mathematics and Science A new lower bound for Young’s cosine series | Lee Tuo Yeong Jolie Fong Zhi Yi Wong Pei Xian |

NUS High School of Mathematics and Science Optimising a vase | Wang Haibin Tay Fu Wen Toh Ming Chun |

Honourable Mention with Excellent Presentation.

School/Project Title | Supervisor/Student(s) |

Anderson Secondary School | Mohamed Alfin H R |

Walking in the rain | Hao Zeyu Lian Weixiang Liao Siyu Tran Hieu Ngha |

Victoria School Investigating the relationship between real and imaginary components of Julia sets on its fractal dimension | Leon Huai Luu Lim Zhao Xun Jerrell Anuj Govinda Rao |

Honourable Mention.

School/Project Title | Supervisor/Student(s) |

Catholic High School Modelling surface textures from light ray reflections | Lim Seah Swee Khim Nicholas Gan Kai Xin Chiang Kai Jing Colin Adam Asher Tan Shih Matthias Teng Yu Hern |

Hwa Chong Institution Square peg problem | Ang Lai Chiang Teoh Jun Jie Foo Shi Hong Teow Hua Jun |

NUS High School of Mathematics and ScienceChebyshev’s polynomials and their applications | Lee Tuo Yeong Marvell Ung Wew Tang Shun Zhang Chi |

Paya Lebar Methodist Girls’ School (Secondary) Inscribed square problem | Kok Lai Fong Regina Limanta Sun Jia Yee Joyce Renee Chiam Sin Yuen Lam Gi Ching Faith |

School of Science and Technology Investigating of the scoring system of decathlons | Chen Jinquan Lim Yi Zhen Grace Cahyadi Brandon Gee Brendan Lee Shi He |

Victoria School A modification of screen space ambient occlusion with quasi monte Carlo integration | Leon Huai Luu Anuj Govinda Rao Jerrell Lim Zhao Xun |

Hwa Chong Institution The investigation of the Pappus chain theorem through inversion | Ang Lai Chiang Scott Loo Yi He Ng Kai Jie Tan Zhi Heng |