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Mathematics - CEMC - University of Waterloo
Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 2010 Results Gauss Contests (Grades 7 & 8) Concours canadien de mathématiques Une activité du Centre d’éducation en mathématiques et en informatique, Université de Waterloo, Waterloo, Ontario 2010 Résultats Concours Gauss (7e et 8e années – Sec. I et II) c 2010 Centre for Education in Mathematics and Computing Competition Organization Organisation du Concours Centre for Education in Mathematics and Computing Faculty and Staff / Personnel du Centre d’éducation en mathématiques et en informatique Ed Anderson Lloyd Auckland Terry Bae Steve Brown Ersal Cahit Karen Cole Jennifer Couture Serge D’Alessio Frank DeMaio Fiona Dunbar Mike Eden Barry Ferguson Barb Forrest Judy Fox Steve Furino John Galbraith Sandy Graham Angie Hildebrand Judith Koeller Joanne Kursikowski Bev Marshman Dean Murray Jen Nissen J.P. Pretti Linda Schmidt Kim Schnarr Jim Schurter Carolyn Sedore Ian VanderBurgh Troy Vasiga Problems Committee / Comité des problèmes Mark Bredin (Chair / président), St. John’s-Ravenscourt School, Winnipeg, MB Kevin Grady (Associate Chair / président adjoint), Cobden District P.S., Cobden, ON John Grant McLoughlin, University of New Brunswick, Fredericton, NB JoAnne Halpern, Thornhill, ON David Matthews, University of Waterloo, Waterloo, ON Allison McGee, All Saints C.H.S., Kanata, ON Kim Stenhouse, William G. Davis P.S., Cambridge, ON David Switzer, Sixteenth Ave. P.S., Richmond Hill, ON Tanya Thompson, Nottawa, ON Chris Wu, Amesbury M.S., Toronto, ON 2 Comments on the Papers Commentaires sur les épreuves Overall Comments The Grade 7 and Grade 8 Gauss Contests are the first two in a series of mathematics contests created and administered by the Centre for Education in Mathematics and Computing. The 2010 offering of these Contests drew an enrollment of almost 80 000, mainly from Canadian schools, but also including a growing number of international schools. The summary of results found in these pages is complied from voluntarily submitted reporting forms. These results are based on returns representing just under one third of the total of enrolled students, and so can be viewed as representative of the actual results. The average mark on the Grade 7 Gauss Contest was 87.4 in 2010, while the average mark on the Grade 8 Contest was 99.5. We are very pleased with these results. As it has always been in the past, the primary goals in setting the Contests is to provide a fun activity which also challenges students, and gives teachers an opportunity to work with their students on a mathematical activity outside the normal classroom routine. We extend our thanks to those students and teachers who participated this year, and hope that you will all continue to be active in such activities. Congratulations to all participants, and especially to those named in this report. We look forward to your names, and others, appearing in future lists of participants. Commentaires généraux Les concours Gauss de 7e et 8e année (Sec. I et II) sont les deux premiers concours d’une série de concours de mathématiques créées et administrées par le Centre d’éducation en mathématiques et en informatique. En 2010, ces concours ont mené à une inscription d’un peu moins de 80 000 étudiants, principalement d’écoles canadiennes mais incluant aussi un nombre croissant d’écoles internationales. Le sommaire des résultats, trouvé dans ces pages, est compilé de formulaires de rapport de résultats volontairement soumis. Ces résultats sont basés sur les retours représentant un tiers du total d’étudiants inscrits, et donc peut être vu comme représentant de façon raisonnable les résultats actuels. La note moyenne sur le Concours de Gauss de 7e année était 87,4 en 2010, pendant que la note moyenne du Concours de 8e année était 99,5. Nous sommes très contents des résultats de 2010. Comme cela a toujours été dans le passé, le but primaire du concours est de donné une activité amusante mais, qui défie aussi les étudiants et permet aux enseignants de travailler avec leurs étudiants sur une activité mathématique hors de la routine de salle de classe. Nous offrons nos remerciements aux étudiants et aux enseignants qui ont participé cette année et nous espérons que vous continuerez à être actif dans de telles activités. Félicitation à tous les participants, et surtout à ceux nommé dans ce rapport. Nous avons hâte de voir vos noms et ceux de d’autres étudiants, apparaı̂tre dans les listes futures de participants. 3 Enrollment and Statistics Inscription et Statistiques Number of students registered by province / Nombre d’étudiants inscrit par province NL NS NB PE QC ON MB SK AB BC NU International Total Enrollment/ Inscription 1350 1612 229 25 6616 44972 1577 199 5657 10296 10 7398 79941 Statistics / Statistiques Total number of students represented / Nombre d’élèves: 29 324 Grade 7 / 7e année (Sec. I) Number of schools represented / Nombre d’écoles 751 Number of students represented / Nombre d’éléves 14 297 Average / Moyenne 87.4 Marks Number of Students Approximate Percentage of Students Points Nombre d’élèves Pourcentage approximatif du nombre d’élèves 136 – 150 912 6.38 121 – 135 1356 9.48 106 – 120 2053 14.35 91 – 105 2281 15.95 76 – 90 2863 20.02 61 – 75 2441 17.07 ≤ 60 2391 16.72 Grade 8 / 8e année (Sec. II) Number of schools represented / Nombre d’écoles 684 Number of students represented / Nombre d’éléves 15 027 Average / Moyenne 99.5 Marks Number of Students Approximate Percentage of Students Points Nombre d’élèves Pourcentage approximatif du nombre d’élèves 136 – 150 807 5.37 121 – 135 2237 14.89 106 – 120 3354 22.32 91 – 105 3075 20.46 76 – 90 2470 16.44 61 – 75 1595 10.61 ≤ 60 1489 9.91 4 Canadian Student Honour Roll – Grade 7 Palmarès individuel du Canada – 7e année (Sec. I) Students are listed in alphabetical order / Les élèves sont nommés en ordre alphabétique Perfect scores of 150 / Notes parfaites de 150 Name/Nom Li John Richard Neil Louise Jonathan Kington Joanne Ryan David James Jane Vanessa David Jon Wendy Jasper Bryan Diana Jiayin Alexandra Helen Kuhan Nick Michelle Rafsan Andrew Jinwook Woo Joo Andrew Simon Candy Jeehwan Thomas Tony Zara Zhenglin Caroline Hermish Ben Pasindn Amogh Keaton Boyu Michael Amitan Vithyaa Frieda Michael Forest Casper Colin Dennis Emily Michael Oliver An Campos Cao Chauhan Choi Chou Chu Chun Clark Cohn Du Du Du Francis Fu Guo ho Huang Huang Huang Jacobson Jeong Jeyapragasan Jiang Jun Kabir Kim Kwon Kwong Lam Lee Lee Lee Liao Lim Liu Lu Mehta Mucsi Muthukuda Natu Ollech Pang Pang Pope Premjeyanth Rong Shu Sun Tsai Wan Wang Wang Wang Wang School/École Secondaire Paul Gérin Lajoie d’outremont James Gilmore E.S. Greystone Heights Rowntree Montessori Private Schools Boxwood P.S. St. George’s School Homelands Senior P.S. Thames Valley District School Board Highbush P.S. The Country Day School William Berczy P.S. Homelands Senior P.S. Cummer Valley M.S. University of Toronto Schools Unionville Meadows P.S. Stride Ave. Community University of Toronto Schools St. Andrews J.H.S. William Berczy P.S. Deer Park P.S. College Notre-Dame du Sacré-Coeur Mulgrave School University of Toronto Schools Ruth Thompson M.S. Summit M.S. St. Margaret’s P.S. University of Toronto Schools Bayridge E.S. University of Toronto Schools University of Toronto Schools Surrey Christian School Bayview M.S. Maple Grove Elementary Boxwood P.S. Capitol Hill E.S. University of Toronto Schools Walnut Road E.S. Lyndwood P.S. University of Toronto Schools Morley E.S. Boxwood P.S. Glenlyon-Norfolk Sr. S.S. John McCrae P.S. Acadia Jr. H.S. Courtland Avenue P.S. Longfields-Davidson Heights S.S St. Andrews J.H.S. Henderson Ave. P.S. H.T. Thrift E.S. General Gordon E.S. Carnarvon E.S. St. George’s School Hawthorne P.S Tom Baines School Acadia Jr. H.S. 5 Location/Endroit Outremont, QC Richmond, BC Saskatoon, SK Brampton, ON Markham, ON Vancouver, BC Mississauga, ON London, ON Pickering, ON King City, ON Markham, ON Mississauga, ON North York, ON Toronto, ON Markham, ON Burnaby, BC Toronto, ON North York, ON Markham, ON Toronto, ON Montreal, QC West Vancouver, BC Toronto, ON Mississauga, ON Coquitlam, BC West Hill, ON Toronto, ON Surrey, BC Toronto, ON Toronto, ON Surrey, BC North York, ON Vancouver, BC Markham, ON Burnaby, BC Toronto, ON Surrey, BC Mississauga, ON Toronto, ON Burnaby, BC Markham, ON Victoria, BC Markham, ON Winnipeg, MB Kitchener, ON Nepean, ON North York, ON Thornhill, ON South Surrey, BC Vancouver, BC Vancouver, BC Vancouver, BC Ottawa, ON Calgary, AB Winnipeg, MB Canadian Student Honour Roll – Grade 7 Name/Nom Ryan Wilson Louise Julia Ferran (Furui) Ruby Alice Daniel Jimmy Wong Wu Xia Xie Xu Zhang Zhou Zhou Zhou Palmarès individuel du Canada – 7e année (Sec. I) School/École Homelands Senior P.S. Stonebridge P.S. University of Toronto Schools Frost Road E.S. St. Anne Elementary University of Toronto Schools W.G. Davis Sr. P.S. Greystone Heights Thomas Street M.S. 6 Location/Endroit Mississauga, ON Markham, ON Toronto, ON Surrey, BC Saskatoon, SK Toronto, ON Brampton, ON Saskatoon, SK Mississauga, ON Canadian Student Honour Roll – Grade 8 Palmarès individuel du Canada – 8e année (Sec. II) Students are listed in alphabetical order / Les élèves sont nommés en ordre alphabétique Perfect scores of 150 Name/Nom Sepehr Sungil Jonathan Weiguar David Kimberly Cindy Jessica Victoria Daniel Christopher Kingsong Renpei Chen Frank Emily Jeff Jonathan Michael Matthew Albert Jiaqi Isaac Mitchell Sabrina Sherry Daniel Audrey Harvey Peishan Simon Ben Andre Billy Angela Rupert Stefan Andrew Jessica Laura Stella (Hee Jae) Lydia Daisy Robert Marcus Stella Woody Eilon Jay Kyung Hun Louis Nicholas Edric Andrew Eva Lyn Pingda Aghayan Ahn Bao Bi Boucher Cai Cao Cao Chamas Chang Chen Chen Cheng Cheng Choi Choi Chow Chow Deane Dieu Dong Ellmen Fournier Ge Guo Han Hao Huang Huang Huang Ireland Jeyarajan Jin Jung Kay Keselj Kim Kim Kim Kim Kljajic Ko Lai Lau Lau Lau Lavi Lee Lee Lee Lee Leung Li Li Li Li School/École Windfields J.H.S. Abbotsford M.S. Windfields J.H.S. Selwyn House Dolphin Sr. P.S. Arbour Lake School Cummer Valley M.S. Vincent Massey S.S. College Regina Assumpta Point Grey S.S. Broadview P.S. Aurora Sr. P.S. Vincent Massey S.S. Capitol Hill E.S. Bogart P.S. St. George’s School Bayview Hill E.S. Macklin P.S. William Dunbar John G. Althouse M.S. Don Mills M.S. Spectrum Alternative School Senior St. Michael C.H.S. University of Toronto Schools John G. Althouse M.S. Redstone P.S. Capitol Hill E.S. Matthew McNair S.S. Fraser Heights S.S. St. Andrews J.H.S. Duncan J. Schoular P.S. Upper Canada College Laurelwood P.S. Lower Canada College St. George’s School Bedford Junior H.S. Summit M.S. John G. Althouse M.S. Windfields J.H.S. Fraser Heights S.S. John G. Althouse M.S. Greystone Heights William Berczy P.S. University of Toronto Schools St. Rose of Lima Redstone P.S. Thames Valley District School Board Acadia Jr. H.S. Simon Fraser School Summit M.S. Jack Miner P.S. Upper Canada College Agnes Macphail P.S. Ecole Massey School William Berczy P.S. Cummer Valley M.S. 7 Location/Endroit Toronto, ON Abbotsford, BC Toronto, ON Westmount, QC Mississauga, ON Calgary, AB North York, ON Windsor, ON Montreal, QC Vancouver, BC Ottawa, ON Aurora, ON Windsor, ON Burnaby, BC Newmarket, ON Vancouver, BC Richmond Hill, ON Scarborough, ON Pickering, ON Etobicoke, ON North York, ON Toronto, ON Kemptville, ON Toronto, ON Etobicoke, ON Richmond Hill, ON Burnaby, BC Richmond, BC Surrey, BC North York, ON Smiths Falls, ON Toronto, ON Waterloo, ON Montreal, QC Vancouver, BC Bedford, NS Coquitlam, BC Etobicoke, ON Toronto, ON Surrey, BC Etobicoke, ON Saskatoon, SK Markham, ON Toronto, ON Mississauga, ON Richmond Hill, ON London, ON Winnipeg, MB Calgary, AB Coquitlam, BC Whitby, ON Toronto, ON Scarborough, ON Regina, SK Markham, ON North York, ON Canadian Student Honour Roll – Grade 8 Name/Nom Richard Rongzhoo Tony Tony Bill Hao-Yu (Laban) Frank Qingfan Richard Mohamed David Julian Eric Jennifer Jerry Luke Joshua Jason Hasan Ziqing Paul Pascale Johnny Marko Alec Samantha Dan Hao Richard Phuntsok Matthew Patrick Henry Lily (Yidi) Mohan Samuel Xiaoze (Jerry) Winsha Nathaniel Robbin Yuwei Woo Sung (Rikcy) Brian Ben Miranda Tianqiao Reena Gavin Kevin Richard Mingyuan Amelia Cindy Ryan Tony Li Li Li Liao Lin Lin Liu Liu Min Moussa Nam Nappert Pan Park Peng Rivett Shin Shum Siddiqui Su Suk Sylvestre Tang Tanuan Theriault Toh Ursu Wang Wang Wangmo Wat Wong Wu Wu Wu Wu Wu Xia Xu Xu Xu Yang Yeung Yoon Yu Yu Zhan Zhang Zhang Zhang Zheng Zhou Zhou Zhu Zou Palmarès individuel du Canada – 8e année (Sec. II) School/École St. George’s School MacGregor P.S. St. George’s School Boxwood P.S. St. George’s School Fraser Heights S.S. St. Andrews J.H.S. Thames Valley District School Board J.B. Tyrrell Sr. P.S. Laurelwood P.S. Henderson Ave. P.S. Glashan P.S. Thames Valley District School Board St. Michael’s University School Aurora Sr. P.S. Joseph Howe Sr. P.S. St. Andrews J.H.S. John McCrae P.S. Homelands Senior P.S. Trillium Woods P.S. John G. Althouse M.S. Ecole d’Education Int’l Inspiration Learning Centre Laurelwood P.S. St. George’s School Scott Creek M.S. Vincent Massey S.S. Glashan P.S. Homelands Senior P.S. John G. Althouse M.S. Magee S.S. Sir Winston Churchill S.S. University of Toronto Schools Vincent Massey S.S. Vincent Massey S.S. St. Andrews J.H.S. Don Mills M.S. Lyndwood P.S. Bayview M.S. Hawthorne P.S Vincent Massey S.S. Semiahmoo S.S. Cummer Valley M.S. Kitsilano S.S. Bridlewood Comm. E.S. Mount Royal Jr. H.S. University of Toronto Schools Sir Winston Churchill S.S. Richmond School District Gifted Program College Jeande Brbeuf Inspiration Learning Centre Cummer Valley M.S. Thomas Street M.S. John Ware School Bridlewood Community E.S. 8 Location/Endroit Vancouver, BC Waterloo, ON Vancouver, BC Markham, ON Vancouver, BC Surrey, BC North York, ON London, ON Scarborough, ON Waterloo, ON Thornhill, ON Ottawa, ON London, ON Victoria, BC Aurora, ON Scarborough, ON North York, ON Markham, ON Mississauga, ON Richmond Hill, ON Etobicoke, ON McMasterville, QC Scarborough, ON Waterloo, ON Vancouver, BC Coquitlam, BC Windsor, ON Ottawa, ON Mississauga, ON Etobicoke, ON Vancouver, BC Vancouver, BC Toronto, ON Windsor, ON Windsor, ON North York, ON North York, ON Mississauga, ON North York, ON Ottawa, ON Windsor, ON Surrey, BC North York, ON Vancouver, BC Kanata, ON Calgary, AB Toronto, ON Vancouver, BC Richmond, BC Montreal, QC Scarborough, ON North York, ON Mississauga, ON Calgary, AB Kanata, ON International Results Résultats internationaux Perfect scores of 150 for Grade 7 Students / Notes parfaites de 150 pour les élèves de 7e année (Sec. I) Name/Nom Hakan Hasan Ryan Karli Nathaniel Ryan Raghu Harish Jeska Vighnesh Yannis Safal Michael Heru Deany Hendrick Pang Wong Lo Yiu Cheryl Jervis Kimberly James Daniel A.J. Rishi Royce Wildy Jasmine Marie Vedant Aarush Sahaj Daniel Beatriz Rohan Oktavianus Hanna Jillian Wen Jun Vineet Alexander Anurag Hei Ching Heather Hor Yee Maggie Hoi Lam Daniel Lawrence James Giovanni Philip Charles Sanjana Adwaiy Himig Dhruv Charles Seanne Raenelle Vamsi Skanda Valentino Gautham Yosafat Chandra Dhivya Alpan Altan Birler Alweiss Ang Ang Arghal Atluri Belonio Bharadwaj Bi Bora Brodeth Budiman Cheng Cheuk Cheung Chua Co Cordon Dennis Devangam Dy Fachrizal Gamboa Gandhewar Garg Garg Gershenson Go Gurram Handika Ho Huang Jammalamadaka Katz Koduri Lam Lam Lau Li Limesa Lizarda Lui Madishetty Manerikar Marcos Medarametla Meng Ng Ngo Nimmagadda Palani Prasetya Ravi Saputra Sridar School/École Uskudar Sev E.S. Uskudar Sev E.S. Bergen County Academy (AAST) Math Trainers Guild of Philippines Math Trainers Guild of Philippines ICAE ICAE Math Trainers Guild of Philippines ICAE ICAE ICAE Math Trainers Guild of Philippines Surya Institute Math Trainers Guild of Philippines Tsuen Wan Government S.S. Diocesan Girl’s School Math Trainers Guild of Philippines Math Trainers Guild of Philippines Math Trainers Guild of Philippines Bergen County Academy (AAST) ICAE Math Trainers Guild of Philippines GCN International Math Trainers Guild of Philippines ICAE ICAE ICAE Houghton M.S. Math Trainers Guild of Philippines ICAE Surya Institute Math Trainers Guild of Philippines CNEC Lau Wing Sang S.S. ICAE Bergen County Academy (AAST) ICAE Diocesan Girl’s School Diocesan Girl’s School Tsuen Wan Government S.S. ICAE Surya Institute Math Trainers Guild of Philippines Math Trainers Guild of Philippines ICAE ICAE Math Trainers Guild of Philippines ICAE Chinese Int’l School Math Trainers Guild of Philippines Math Trainers Guild of Philippines ICAE ICAE Surya Institute ICAE Surya Institute ICAE 9 Location/Endroit Istanbul, Turkey Istanbul, Turkey Hackensack, NJ Zamboanga City, Philippines Zamboanga City, Philippines Troy, MI Troy, MI Zamboanga City, Philippines Troy, MI Troy, MI Troy, MI Zamboanga City, Philippines Tangerang, Indonesia Zamboanga City, Philippines Hong Kong Hong Kong Zamboanga City, Philippines Zamboanga City, Philippines Zamboanga City, Philippines Hackensack, NJ Troy, MI Zamboanga City, Philippines Pamekasan, Indonesia Zamboanga City, Philippines Troy, MI Troy, MI Troy, MI Houghton, MI Zamboanga City, Philippines Troy, MI Tangerang, Indonesia Zamboanga City, Philippines Hong Kong Troy, MI Hackensack, NJ Troy, MI Hong Kong Hong Kong Hong Kong Troy, MI Tangerang, Indonesia Zamboanga City, Philippines Zamboanga City, Philippines Troy, MI Troy, MI Zamboanga City, Philippines Troy, MI Hong Kong Zamboanga City, Philippines Zamboanga City, Philippines Troy, MI Troy, MI Tangerang, Indonesia Troy, MI Tangerang, Indonesia Troy, MI International Results Name/Nom Oscar Derek Nicholas Jason Timothy James Ming Yee Sreeram Dielle Sterling David Shreya Pradyumna Mikaela Angelina Kelvin Tsz Yu Isabella Andrew Chin Hoi Johnny Justin Keith Valerie Résultats internationaux Suen Suo Susanto Tan Tan Tang Thirupathi Tio Tiu Tong Uppal Uppula Uy Wang Woo Xu Yiu Young Yturzaeta Yu Zhang School/École Chinese Int’l School ICAE Surya Institute Math Trainers Guild of Philippines Math Trainers Guild of Philippines Diocesan Girl’s School ICAE Math Trainers Guild of Philippines Math Trainers Guild of Philippines Bergen County Academy (AAST) ICAE ICAE Math Trainers Guild of Philippines Bergen County Academy (AAST) Diocesan Girl’s School ICAE St. Mary’s Canossian College ICAE Math Trainers Guild of Philippines Math Trainers Guild of Philippines ICAE 10 Location/Endroit Hong Kong Troy, MI Tangerang, Indonesia Zamboanga City, Philippines Zamboanga City, Philippines Hong Kong Troy, MI Zamboanga City, Philippines Zamboanga City, Philippines Hackensack, NJ Troy, MI Troy, MI Zamboanga City, Philippines Hackensack, NJ Hong Kong Troy, MI Hong Kong Troy, MI Zamboanga City, Philippines Zamboanga City, Philippines Troy, MI International Results Résultats internationaux Perfect scores of 150 for Grade 8 Students / Notes parfaites de 150 pour les élèves de 8e année (Sec. II) Name/Nom Nithin Deniz Andrew Joelle Regina Joanna Sean Nelson Andrew Ng Kwok Georemie Arianne A.J. Jeremy Jamel Bong-Guen Kevin Audrey Celine Kam Laif Perry Sung Hyup Tung Hei Christy Daniel Cody Ka Hun Dennis Charles Emerson Jessica Mae Katrina Mae Se-Min Raj Mark Priyanka Jong Hoon Apurva Austin Jonathan Samuel Meenakshi Karthik Priscilla Claudia Keefe David Sze Ming Syd Syd Kelvin Kevin Christian Keny Sze Nga Alan Brian Hubert Anna Claudia Jonathan Justin Adapa Beser Caguntas Chen Cheng Cheng Cheung Cho Chung Concepcion Dennis Hidayat Ibrahem Jo Jung Lao Lee Lee Lee Lee Liauw Liu Louie Mulyadi Ngo Orense Palaganas Park Raina Sabini Shanmugasundaram Shin Shrivastava Soedarsono Song Sundararaju Suresh Tamara Tan Tong Tso Ullrich Ullrich Wang Wibisono Wijaya Wong Xu Xu Yao Yenardi Yu Yu School/École ICAE Uskudar Sev E.S. Math Trainers Guild of Philippines ICAE South Island School Math Trainers Guild of Philippines Creative S.S. Bergen County Academy (AAST) Int’l Christian Quality Music School Math Trainers Guild of Philippines Bergen County Academy (AAST) Surya Institute Math Trainers Guild of Philippines International School Hamburg U.W.C. South East Asia Math Trainers Guild of Philippines Tsuen Wan Government S.S. ICAE Bergen County Academy (AAST) Diocesan Girl’s School Sevilla School ICAE South Island School Surya Institute Math Trainers Guild of Philippines Math Trainers Guild of Philippines Math Trainers Guild of Philippines International School Hamburg ICAE Bergen County Academy (AAST) ICAE South Island School ICAE Surya Institute Math Training Center ICAE U.W.C. South East Asia Surya Institute Math Trainers Guild of Philippines Bergen County Academy (AAST) Diocesan Girl’s School Carmichael M.S. Carmichael M.S. Bergen County Academy (AAST) Surya Institute Surya Institute Diocesan Girl’s School ICAE ICAE Math Trainers Guild of Philippines Surya Institute Bergen County Academy (AAST) Bergen County Academy (AAST) 11 Location/Endroit Troy, MI Istanbul, Turkey Zamboanga City, Philippines Troy, MI Hong Kong Zamboanga City, Philippines Hong Kong Hackensack, NJ Hong Kong Zamboanga City, Philippines Hackensack, NJ Tangerang, Indonesia Zamboanga City, Philippines Hamburg, Germany Singapore Zamboanga City, Philippines Hong Kong Troy, MI Hackensack, NJ Hong Kong Jakarta Timur, Indonesia Troy, MI Hong Kong Tangerang, Indonesia Zamboanga City, Philippines Zamboanga City, Philippines Zamboanga City, Philippines Hamburg, Germany Troy, MI Hackensack, NJ Troy, MI Hong Kong Troy, MI Tangerang, Indonesia Bayside, NY Troy, MI Singapore Tangerang, Indonesia Zamboanga City, Philippines Hackensack, NJ Hong Kong Richland, WA Richland, WA Hackensack, NJ Tangerang, Indonesia Tangerang, Indonesia Hong Kong Troy, MI Troy, MI Zamboanga City, Philippines Tangerang, Indonesia Hackensack, NJ Hackensack, NJ
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