2007 - CEMC - University of Waterloo
Transcription
2007 - CEMC - University of Waterloo
Concours canadien de mathématiques Canadian Mathematics Competition Une activité du Centre d’éducation en mathématiques et en informatique, Université de Waterloo, Waterloo, Ontario An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 2007 Results 2007 Résultats Fryer Contest Concours Fryer (9e année – Sec. III) (Grade 9) Galois Contest Concours Galois (10e année – Sec. IV) (Grade 10) Hypatia Contest Concours Hypatie (11e année – Sec. V) (Grade 11) C.M.C. Sponsors C.M.C. Supporter Sybase iAnywhere Solutions Chartered Accountants Maplesoft c 2007 Waterloo Mathematics Foundation Competition Organization Organisation du Concours Centre for Education in Mathematics and Computing Faculty and Staff / Personnel du Centre d’éducation en mathématiques et informatique Ed Anderson Lloyd Auckland Steve Brown Jennifer Couture Fiona Dunbar Jeff Dunnett Barry Ferguson Judy Fox Sandy Graham Judith Koeller Joanne Kursikowski Angie Lapointe Dean Murray Larry Rice Linda Schmidt Kim Schnarr Jim Schurter Carolyn Sedore Ian VanderBurgh Troy Vasiga Problems Committee / Comité des problèmes Judith Koeller (Chair / président), University of Waterloo, Waterloo, ON Peter Crippin, Havergal College, Toronto, ON Rad de Peiza, Toronto, ON Sandy Emms Jones, Forest Heights C.I., Kitchener, ON Barry Ferguson, University of Waterloo, Waterloo, ON Nerissa Coronel, St. Marguertie d’Youville Catholic S.S., Mississauga, ON André Ladouceur, Gloucester, ON Peter O’Hara, Glendale H.S., Tilsonburg, ON Alex Pintilie, Crescent School, Toronto, ON 2 Comments on the Papers Commentaires sur les épreuves Overall Comments The year 2007 marked the fifth writings of the Fryer, Galois and Hypatia Contests. The FGH Contests were created to give students in Grades 9, 10 and 11 an additional mathematical challenge during the school year, and one which requires full written solutions. Being able to do mathematics is an important life skill; being able to communicate one’s findings is also very imiportant. We were very pleased this year to see an increase in the number of participants in these Contests, and strong enrollments from many parts of the country. In general, the students writing these Contests are doing a good job of writing clear solutions to the problems. It was again interesting to notice the effect of the phrase “Explain how you obtained your answer” and its variations on the solutions to this year’s Contests. These phrases certainly prompt most students to provide more than just symbols and equations, but often students wrote paragraphs describing their work rather than sentences supporting their work. We realize that this is a difficult balance to find and we will continue to try to encourage students to find this balance. The averages on the Fryer, Galois and Hypatia Contests this year were 22.7, 20.9 and 20.9, respectively. We will continue to try to keep the averages on these papers in this range. Here are some specific comments on the problems on these papers. Fryer Contest 1. Average: 7.9 This problem was very well done. There were a number of non-algebraic approaches that students could use in part (d). 2. Average: 7.4 This problem was again well done. The easiest way to do part (c) was with some algebra, but many students solved this in other ways. 3. Average: 5.6 In parts (a) and (b), some students presented the correct answers without explanation. We would have preferred to see some explanation as to how these answers were found and why no other answer was possible. In part (c), many students realized that the given number needed to be divisible by both 8 and 9 and came up with at least one of the three possible pairs for G and H. 4. Average: 1.8 Part (a) of this problem was reasonably approachable, and many students had some success. Parts (b) and (c) required some unfamiliar thinking and were thus much more difficult. Sample Students Solutions from the 2007 Fryer Contest, along with some comments, can be found through the CEMC Web site, www.cemc.uwaterloo.ca. Galois Contest 1. Average: 8.8 This problem was very well done. Occasionally, students did not answer the question asked. 2. Average: 6.1 The four parts of this problem gave students a number of tasks to complete. A common issue throughout was whether to leave answers in exact form (like 4π + 24) or whether to give a decimal answer (like 36.57). Our preference is always for exact answers, but we did accept decimal answers as well. Some students provided answers to 10 or more decimal places, which is a bit extreme. Some students who used decimal answers got into trouble with rounding, a problem that does not occur with exact answers. In part (a), some students calculated the arc length of AB but forgot to include OA and OB in the perimeter. 3 Comments on the Papers Commentaires sur les épreuves 3. Average: 2.9 Part (a) was fairly well done. In part (b), most students were unable to generalize to an unknown edge length. Part (b)(ii) was done reasonably well by students who had obtained a formula (even an incorrect one) in part (b)(i). 4. Average: 3.1 In part (a), many students were able to obtain the four correct combinations. In part (b), many students realized that the problem had to do with divisibility, but were unable to express this in a reasonable way. Part (c) was very difficult to complete. Hypatia Contest 1. Average: 8.4 This problem was very well done. Most students scored 8, 9 or 10 out of 10. 2. Average: 6.3 This problem required both some trial and error and some insight. Parts (a) and (b)(i) were well done. Parts (b)(ii) and (c) gave students an opportunity to do some exploration and explanation. 3. Average: 4.3 Part (a) was very well done. In part (b), many students took their values of x from part (a) that made f (x) = 0 and added these together. While this does give the correct answer, it does not rule out the possibility of other answers. Part (c) involved some tricky algebra. 4. Average 1.9 Parts (a) and (b) of this problem were reasonably approachable using special triangles. Unfortunately, many students made assumptions that they did not justify. Part (c) was quite difficult to start, but involved little in the way of complicated mathematics. Please visit our website at www.cemc.uwaterloo.ca to download the 2007 Fryer, Galois and Hypatia Contests, plus full solutions. 4 Comments on the Papers Commentaires sur les épreuves Commentaires généraux L’année 2007 a marqué la cinquième édition des Concours Fryer, Galois et Hypatie. Les Concours FGH ont été créés pour donner aux étudiant(e)s de 9e, 10e et 11e (sec. III, IV et V) un défi mathématique supplémentaire pendant l’année scolaire qui exige des solutions écrites complètes. Être capable d’effectuer des mathématiques est une compétence de vie importante et pouvoir communiquer la conclusion est aussi important. Nous avons eu le plaisir cette année de voir une augmentation dans le nombre de participants dans ces concours et des inscriptions nombreuses provenant de plusieurs parties du pays. En général, les étudiant(e)s qui participent à ces concours font un bon travail à écrire des solutions claires aux problèmes. Il était intéressant de remarquer l’effet de l’expression “Expliquez comment la réponse a été obtenue” et ses variations sur les solutions des Concours de cette année. Ces expressions incitent certainement la plupart des étudiant(e)s à fournir plus que les symboles et les équations, mais souvent les étudiant(e)s ont écrit des paragraphes décrivant leur travail plutôt que des phrases soutenant leur travail. Nous remarquons que c’est une balance difficile pour trouver et nous continuerons à essayer d’encourager des étudiant(e)s à trouver cette balance. Les moyennes des concours Fryer Galois et Hypatie cette année était de 22,7, 20,9, et 20,9, respectivement. Nous continuerons à essayer de garder les moyennes des concours dans cette même gamme. Voici quelques commentaires spécifiques sur les problèmes de ces concours. Concours Fryer 1. Moyenne: 7,9 Ce problème a été très bien fait. Il y avait un certain nombre d’approches non-algébriques que les étudiant(e)s pourraient utiliser dans la partie (d). 2. Moyenne : 7,4 Ce problème a aussi été bien fait. La façon la plus facile de résoudre la partie (c) était avec une méthode algébrique, mais beaucoup d’étudiant(e)s l’ont résolu d’autres façons. 3. Moyenne : 5,7 Dans les parties (a) et (b), certains étudiant(e)s ont présenté des réponses correctes sans explication. Nous aurions préféré de voir une explication de comment ces réponses ont été trouvées et pourquoi d’autre réponses n’étaient pas possible. Dans la partie (c), beaucoup d’étudiant(e)s se sont rendus compte que le nombre donné devait être divisible par 8 et 9 et a trouvé au moins une des trois paires possibles pour G et H. 4. Moyenne : 1,7 La partie (a) de ce problème était raisonnablement approchable et beaucoup d’étudiant(e)s avaient un peu de succès. Les parties (b) et (c) ont exigé un peu de réflexion peu familière et étaient ainsi beaucoup plus difficiles. Des solutions d’étudiants du Concours de Fryer 2007, avec quelques commentaires, peuvent être trouvées par le site Web du CEMC, www.cemc.uwaterloo.ca. Concours Galois 1. Moyenne : 8,8 Ce problème a été très bien fait. De temps à autre, les étudiant(e)s n’ont pas répondu à la question demandée. 2. Moyenne : 6,1 Les quatres parties de ce problème ont donné aux étudiant(e)s un certain nombre de tâches a accomplir. Une difficulté commune était s’il faut garder les réponses dans la forme exacte (comme 4π + 24) ou s’il faut donner une réponse décimale (comme 36.57). Notre préférence est toujours pour les réponses exactes, mais nous avons accepté des réponses décimales aussi. Certains étudiant(e)s ont fourni des réponses à 10 ou plus positions décimaux, qui est un peu extrême. Certains étudiant(e)s qui ont utilisé des réponses décimales sont entrés dans le problèmes avec l’arrondissage, un problème qui ne se produit pas avec les réponses exactes. 5 Comments on the Papers Commentaires sur les épreuves Dans la partie (a), certains étudiant(e)s ont calculé la longueur d’arc AB, mais ont oublié d’inclure OA et OB dans le périmètre. 3. Moyenne : 2,9 La partie (a) a été assez bien faite. Dans la partie (b), la plupart des étudiant(e)s étaient incapables de généraliser à une longueur d’arête inconnue. La partie (b)(ii) a été faite raisonnablement bien par les étudiant(e)s qui avaient obtenu une formule (même une formule incorrecte) dans la partie (b)(i). 4. Moyenne : 3,1 Dans la partie (a), beaucoup d’étudiant(e)s étaient capables d’obtenir les quatres combinaisons correctes. Dans la partie (b), beaucoup d’étudiant(e)s se sont rendus compte que le problème a concerné la divisibilité, mais était incapable de l’exprimer d’une façon raisonnable. La partie (c) était très difficile à compléter. Concours Hypatie 1. Moyenne : 8,4 Ce problème a été très bien fait. La plupart des étudiant(e)s ont réussi 8, 9 ou 10 sur 10. 2. Moyenne : 6,3 Ce problème exigeait un peu de tâtonnement et de la perspicacité. Les parties (a) et (b)(i) ont été bien faites. Les parties (b)(ii) et (c) ont donné aux étudiant(e)s une opportunité de faire un peu d’exploration et d’explication. 3. Moyenne : 4,3 La partie (a) a été très bien faite. Dans la partie (b), beaucoup d’étudiant(e)s ont pris leurs valeurs de x de la partie (a) et a ajouté ceux-ci ensemble. Pendant que cela donne la réponse correcte, il n’exclut pas la possibilité d’autres réponses. La partie (c) a impliqué des maniuplations délicates. 4. Moyenne : 1,9 Les parties (a) et (b) de ce problème étaient approchables en utilisants des triangles remarquables. Beaucoup d’étudiant(e)s ont fait des hypothèses qu’ils n’ont pas justifié. La partie (c) était difficile à commencer, mais n’impliqué pas des mathématiques compliquées. Veuillez visiter notre site Web à www.cemc.uwaterloo.ca pour télécharger les concours Fryer, Galois et Hypatie 2007, avec solutions complètes. 6 Enrollment Inscription Number of students registered by province / Nombre d’étudiants inscrit par province NL NS NB PE QC ON MB SK AB BC International Total Enrollment/ Inscription 51 225 131 11 430 7743 358 143 627 1794 1454 12967 7 Student Rankings Score/ Note 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 Fryer Rank/ Position 1 34 65 107 137 193 235 339 413 505 617 739 887 1025 1215 1388 1576 1771 1964 2142 2334 2504 2695 2835 2983 3117 3250 3351 3440 3514 3591 3645 3696 3720 3750 3771 3789 3803 3811 3813 3817 Classements des élèves Galois Rank/ Position 1 7 21 31 58 89 131 186 255 319 390 458 569 682 787 927 1075 1222 1417 1618 1781 1949 2122 2289 2422 2569 2686 2794 2906 3004 3078 3145 3196 3231 3270 3298 3322 3346 3367 3377 3385 Hypatia/ Hypatie Rank/ Position 1 3 9 16 23 36 52 78 111 138 170 226 292 383 476 600 761 941 1160 1386 1670 1901 2151 2361 2510 2664 2775 2865 2941 2995 3044 3080 3108 3122 3132 3142 3147 3156 3161 3162 N.B. These rankings pertain to ALL contestants / N.B. Ces rangs se rapportent à TOUS concurrents 8 Fryer – Gold Standard Palmarès individuel – Fryer The top 25% of the competitors in each of the three Contests were divided into three categories: Gold Standard, Silver Standard and Bronze Standard, in the ratio 1 : 2 : 3. The names of the those students achieving the Gold Standard (that is, scoring in roughly the top 4%) are listed alphabetically below for each Contest. Les candidats qui se classent dans le premier quart de classement dans chacun des trois concours ont été répartis en trois catégories: le niveau or, le niveau argent et le niveau bronze, selon le ratio 1 : 2 : 3. Le nom des étudiants qui ont obtenu le niveau or (c’est-à-dire ceux qui se classent parmi les premiers 4 p. 100) est donné par ordre alphatbétique ci-dessous pour chaque concours. Name/Nom MADHAV MAHDIYA ALI AKSHAY LAJARI YAROSLAV DAVID RAM BRIAN ROHIT DISHA JAE HYUN JASON DANNY JACLYN STEVEN ALLEN CHUANSHI DA QI MIMI SIMON KATHERINE ROBIN WILFRED BENNETT CAROLINE BRIAN CHRIS JISOO LISA YU HONG MINYOUNG JEREMY NATASHA TIM YIXIN SIDDHANT ANQI SUSAN JAMES SAM LUKAS YUAN SHENG SHAUN LUCY FRANK JUN HOU ACHAR AHMED ALI ABBAS AMIN ANNE BABICH BAIK BHASKAR BI BOLLINENI BORA CHA CHAN CHANG CHANG CHANG CHEN CHEN CHEN CHEN CHEN CHENG CHENG CHENG CHEUNG CHIN CHO CHO CHOI CHOI CHOING CHUNG CLEVELAND CONSUL CRONIN DENG DOGRA DONG DONG DUYCK EISENSTAT FEHR FENG FITZGERALD FOO FU FUNG School/École ICAE PORT MOODY S.S.S. ACADEMIE IBN-SINA ICAE ICAE QUEEN ELIZABETH H.S. GREENHILL VILLAGE ACADEMY ICAE WOBURN C.I. ICAE ICAE ST. GEORGE’S SCHOOL SIR JOHN A. MACDONALD S.S. A.B. LUCAS S.S. JOHN WARE J.H.S. ICAE ICAE WEST VANCOUVER S.S. CENTENNIAL REG’L H.S. ICAE ALBERT COLLEGE LISGAR C.I. PINETREE S.S. CANADIAN INT’L SCHOOL OF HONG KONG BURNABY CENTRAL S.S. HAVERGAL COLLEGE F.E. OSBORNE H.S. WEST VANCOUVER S.S. EARL MARRIOTT S.S. SEMIAHMOO S.S. WAH YAN COLLEGE KING’S CHRISTIAN COLLEGIATE BURNABY SOUTH S.S. ICAE CHRISTIAN BROTHERS COLLEGE E.S. ST-LUC ICAE GREYSTONE HEIGHTS JOHN CAMPBELL P.S. VINCENT MASSEY S.S. ACADEMY FOR GIFTED CHILDREN-PACE GREYSTONE HEIGHTS SIR WINSTON CHURCHILL S.S. CHRISTIAN BROTHERS COLLEGE MOSCROP S.S. UNIONVILLE H.S. CANADIAN INT’L SCHOOL OF HONG KONG 9 Location/Endroit TROY, MI PORT MOODY, BC MONTREAL, QC TROY, MI TROY, MI CALGARY, AB THORNHILL, ON TROY, MI SCARBOROUGH, ON TROY, MI TROY, MI VANCOUVER, BC WATERLOO, ON LONDON, ON CALGARY, AB TROY, MI TROY, MI WEST VANCOUVER, BC GREENFIELD PARK, QC TROY, MI BELLEVILLE, ON OTTAWA, ON COQUITLAM, BC ABERDEEN, HONG KONG BURNABY, BC NORTH YORK, ON CALGARY, AB WEST VANCOUVER, BC SURREY, BC SURREY, BC KOWLOON, HONG KONG OAKVILLE, ON BURNABY, BC TROY, MI CORK, IRELAND MONTREAL, QC TROY, MI SASKATOON, SK WINDSOR, ON WINDSOR, ON RICHMOND HILL, ON SASKATOON, SK VANCOUVER, BC CORK, IRELAND BURNABY, BC MARKHAM, ON ABERDEEN, HONG KONG Fryer – Gold Standard Name/Nom GOLDEN JACK HARSHA JUNE MALLIK JOHN MINGHUA AANIKA NEIL CHANGHO ROLLAND TONY ALBERT BEN KATHY NANCY JENNIFER STEPHANIE YOON AMLESH VISAKAN RANDY YEONJI GOUTHAM VISHAKHA NEAL KA LOK ANGELA BILLY JIHYUN NAMHUN SEOWOO SONGEON SRIVARSHA JI EUN EVELINE ANTHONY DICKSON YOUNGSANG VIVIAN EMILY HA IMING MICHAEL SHERMAINE SHUIXI JINGTIAN DARREN LYDIA MELISSA SYLVIA AARON FRANK JASON PETER WILLIAM CRYSTAL GAO GAO GOTUR GUAN GUDUGUNTLA GUO GUO GUPTA GURRAM HAN HE HE HU HU HUI HUI HURD JANG JANG JAYAKUMAR JAYAKUMAR JIA KANG KAPA KAPOOR KAW KEI KIM KIM KIM KIM KIM KIM KORIPELLA KWACK LAM LAU LAW LEE LEUNG LI LI LI LI LI LIAN LIM LIM LIM LIM LIN LIN LIN LIN LIN LIU Palmarès individuel – Fryer School/École PRESTON H.S. VICTORIA PARK C.I. ICAE BAYVIEW S.S. ICAE JOHN WARE J.H.S. F.E. OSBORNE H.S. ACADEMY FOR GIFTED CHILDREN-PACE ICAE ALEXANDER MACKENZIE H.S. ICAE AGINCOURT C.I. NORTH TORONTO C.I. VICTORIA PARK C.I. DR. NORMAN BETHUNE C.I. MARC GARNEAU C.I. HOME SCHOOL PINETREE S.S. U.W.C. SOUTH EAST ASIA WATERLOO C.I. ICAE ICAE SENTINEL S.S. ICAE U.W.C. SOUTH EAST ASIA BAYVIEW S.S. WAH YAN COLLEGE NORTH TORONTO C.I. ST. GEORGE’S SCHOOL HAVERGAL COLLEGE ICAE ST. ROBERT C.H.S. U.W.C. SOUTH EAST ASIA ICAE THE ANGLO-AMERICAN SCHOOL OF MOSCOW HOLY TRINITY SCHOOL UNIVERSITY OF TORONTO SCHOOLS MARKHAM D.H.S. U.W.C. SOUTH EAST ASIA ABBEY PARK H.S. ALBERT CAMPBELL C.I. VAUGHAN ROAD ACADEMY SIR JOHN A. MACDONALD J.H.S. UNIVERSITY OF TORONTO SCHOOLS E.S. ST-LUC VICTORIA PARK C.I. CHENGDU INT’L SCHOOL HAVERGAL COLLEGE U.W.C. SOUTH EAST ASIA BRANKSOME HALL SCHOOL CHINESE INT’L SCHOOL IDEAL MINI SCHOOL DR. NORMAN BETHUNE C.I. MARC GARNEAU C.I. DAVID THOMPSON S.S. MALVERN C.I. 10 Location/Endroit CAMBRIDGE, ON NORTH YORK, ON TROY, MI RICHMOND HILL, ON TROY, MI CALGARY, AB CALGARY, AB RICHMOND HILL, ON TROY, MI RICHMOND HILL, ON TROY, MI SCARBOROUGH, ON TORONTO, ON NORTH YORK, ON SCARBOROUGH, ON NORTH YORK, ON NEPEAN, ON COQUITLAM, BC SINGAPORE WATERLOO, ON TROY, MI TROY, MI WEST VANCOUVER, BC TROY, MI SINGAPORE RICHMOND HILL, ON KOWLOON, HONG KONG TORONTO, ON VANCOUVER, BC NORTH YORK, ON TROY, MI THORNHILL, ON SINGAPORE TROY, MI MOSCOW, RUSSIA RICHMOND HILL, ON TORONTO, ON MARKHAM, ON SINGAPORE OAKVILLE, ON SCARBOROUGH, ON YORK, ON CALGARY, AB TORONTO, ON MONTREAL, QC NORTH YORK, ON CHENGDU, CHINA NORTH YORK, ON SINGAPORE TORONTO, ON BRAEMAR HILL, HONG KONG VANCOUVER, BC SCARBOROUGH, ON NORTH YORK, ON VANCOUVER, BC TORONTO, ON Fryer – Gold Standard Name/Nom ELVIS GARY JACKY LEO RICHARD SUYA KANG JONATHAN KEVIN ROBIN ANNI E TONGHUI JOHN ALICE MALCOLM JAMES JEONGYOON KRISHNA SWAPNA YULIYA MATTHEW AKHIL GISEL LIU LIU LIU LIU LIU LIU LOUIS LOVE LU LUO MA MA MALIK MAO MCCULLOCH MINOR MOON MURALI MUSUNOR NESTEROVA NICHOLAS NISTALA ONG SACHIN SUSIE KATHERINE NICK SOOHYUN BEN DANIEL MIRANDA HAOTIAN SANG JOON AIDRIC PADMANABHAN PAN PANG PARK PARK PI PLOURDE QI QIN RAH REYES COLIN ANGELA HENRY NARAE KERRY ARJUN LENA JASON HUNTER KAREN SOPHIE PAUL PETER GERISSEN DARREN MATTHEW JOANNA JUDY RICHARD SABRINA ROSYCHUK SHI SHI SHIN SINGH SITHAMPARAPILL SIZIKOVA SONG SPINK SU SU SUN SUN TANG UDAYAKUMAR VENGALIL WANG WANG WANG WANG Palmarès individuel – Fryer School/École BIRCHMOUNT PARK C.I. VINCENT MASSEY S.S. TOM BAINES SCHOOL VINCENT MASSEY S.S. UNIVERSITY OF TORONTO SCHOOLS LORNE PARK S.S. RENAISSANCE COLLEGE QUEEN ELIZABETH H.S. DR. NORMAN BETHUNE C.I. MOSCROP S.S. ABBEY PARK H.S. SIR JOHN A. MACDONALD C.I. SAUNDERS S.S. CROFTON HOUSE SCHOOL KING’S-EDGEHILL SCHOOL WESTDALE S.S. LORNE PARK S.S. ST. FRANCIS XAVIER S.S. ICAE COLONEL BY S.S. ICAE ICAE MATH TRAINERS GUILD OF PHILIPPINES ICAE CENTENNIAL C.V.I. SIR JOHN A. MACDONALD J.H.S. ST. ANDREW’S COLLEGE UNIVERSITY OF TORONTO SCHOOLS SIR JOHN A. MACDONALD J.H.S. KELVIN H.S. MAGEE S.S. WOBURN C.I. THE ANGLO-AMERICAN SCHOOL OF MOSCOW MATH TRAINERS GUILD OF PHILIPPINES KENILWORTH J.H.S. VINCENT MASSEY S.S. JOHN FRASER S.S. THE ANGLO-AMERICAN SCHOOL OF MOSCOW PRESENTATION COLLEGE MARKHAM D.H.S. GREENHILL VILLAGE ACADEMY MARKHAM D.H.S. CALGARY SCIENCE SCHOOL CHINESE INT’L SCHOOL WATERLOO C.I. ST. ROBERT C.H.S. ST. FRANCIS XAVIER S.S. ERIC HAMBER S.S. BAYVIEW S.S. ICAE RIVERSIDE S.S. JARVIS C.I. ERIC HAMBER S.S. RICHMOND HILL H.S. 11 Location/Endroit SCARBOROUGH, ON WINDSOR, ON CALGARY, AB WINDSOR, ON TORONTO, ON MISSISSAUGA, ON MAN ON SHAN, HONG KONG CALGARY, AB SCARBOROUGH, ON BURNABY, BC OAKVILLE, ON SCARBOROUGH, ON LONDON, ON VANCOUVER, BC WINDSOR, NS HAMILTON, ON MISSISSAUGA, ON MISSISSAUGA, ON TROY, MI GLOUCESTER, ON TROY, MI TROY, MI ZAMBOANGA CITY, PHILIPPINES TROY, MI GUELPH, ON CALGARY, AB AURORA, ON TORONTO, ON CALGARY, AB WINNIPEG, MB VANCOUVER, BC SCARBOROUGH, ON MOSCOW, RUSSIA ZAMBOANGA CITY, PHILIPPINES EDMONTON, AB WINDSOR, ON MISSISSAUGA, ON MOSCOW, RUSSIA SAN FERNANDO, TRINIDAD MARKHAM, ON THORNHILL, ON MARKHAM, ON CALGARY, AB BRAEMAR HILL, HONG KONG WATERLOO, ON THORNHILL, ON MISSISSAUGA, ON VANCOUVER, BC RICHMOND HILL, ON TROY, MI WINDSOR, ON TORONTO, ON VANCOUVER, BC RICHMOND HILL, ON Fryer – Gold Standard Name/Nom DRAGON JAY ADRIAN BACKEN DI JEAN KEVIN RUIWEN SHERWIN YU YUDONG ALEX MELODY PETER BOB VENKATA EDWARD KARREN JUNGEUN DANIEL RYAN TAE KWAN CHENG HAO DANIEL BO JUSTINE CONNIE MENG MEIMUZI SONGBO TIGER JIEJING MO HENRY JULIE WEI WOO WU WU WU WU WU WU WU WU WU XU XU XU XUE YADATI YANG YANG YIM YOO YOO YOON YUAN YUN ZHANG ZHANG ZHAO ZHAO ZHENG ZHENG ZHENG ZHOU ZHOU ZHU ZHU Palmarès individuel – Fryer School/École BURNABY SOUTH S.S. UNIVERSITY OF TORONTO SCHOOLS DR. NORMAN BETHUNE C.I. WESTDALE S.S. L’AMOREAUX C.I. ICAE UNIVERSITY OF TORONTO SCHOOLS ICAE HENRY KELSEY S.P.S. NORTH PARK C.I. MAGEE S.S. SIR JOHN A. MACDONALD C.I. MARC GARNEAU C.I. MARC GARNEAU C.I. ICAE A.B. LUCAS S.S. HENRY KELSEY S.P.S. BIBLE HILL J.H.S. THORNHILL S.S. CRESCENT SCHOOL THE ANGLO-AMERICAN SCHOOL OF MOSCOW LORD TWEEDSMUIR S.S.S. CHINESE INT’L SCHOOL E.S. ST-LUC QUEEN ELIZABETH H.S. UNIVERSITY OF TORONTO SCHOOLS QUEEN ELIZABETH H.S. QUEEN ELIZABETH H.S. PRESTON H.S. JOHN CAMPBELL P.S. LORD BYNG S.S. ICAE DR. NORMAN BETHUNE C.I. DR. NORMAN BETHUNE C.I. 12 Location/Endroit BURNABY, BC LONDON, ON TORONTO, ON SCARBOROUGH, ON HAMILTON, ON SCARBOROUGH, ON TROY, MI TORONTO, ON TROY, MI SCARBOROUGH, ON BRANTFORD, ON VANCOUVER, BC SCARBOROUGH, ON NORTH YORK, ON NORTH YORK, ON TROY, MI LONDON, ON SCARBOROUGH, ON TRURO, NS THORNHILL, ON NORTH YORK, ON MOSCOW, RUSSIA SURREY, BC BRAEMAR HILL, HONG KONG MONTREAL, QC CALGARY, AB TORONTO, ON CALGARY, AB CALGARY, AB CAMBRIDGE, ON WINDSOR, ON VANCOUVER, BC TROY, MI SCARBOROUGH, ON SCARBOROUGH, ON Galois – Gold Standard Palmarès individuel – Galois The top 25% of the competitors in each of the three Contests were divided into three categories: Gold Standard, Silver Standard and Bronze Standard, in the ratio 1 : 2 : 3. The names of the those students achieving the Gold Standard (that is, scoring in roughly the top 4%) are listed alphabetically below for each Contest. Les candidats qui se classent dans le premier quart de classement dans chacun des trois concours ont été répartis en trois catégories: le niveau or, le niveau argent et le niveau bronze, selon le ratio 1 : 2 : 3. Le nom des étudiants qui ont obtenu le niveau or (c’est-à-dire ceux qui se classent parmi les premiers 4 p. 100) est donné par ordre alphatbétique ci-dessous pour chaque concours. Name/Nom SHAFQAT JACKIE HAOYUN ADRIAN SOLOMON WILLIAM EDWARD MATTHEW MURPHY COLIN CHRISTOPHE WARREN DANNY FLORENCE PHILIP MIHAI DENNIS SITIAN YUHAN CHEN STEPHANIE MINKYUNG FRANCHESCA AHMED AU BAO BAR BARKLEY BATORYBERNARDI BELK BELMOREW BERZISH BRUULSEMA CAO CARPANI CHAN CHAN CHAN CHELARU CENTEA CHEN CHEN CHEN CHENG CHIU CHO CHOI School/École WOBURN C.I. SIR WINSTON CHURCHILL S.S. JEFFREY ALBERT JASON NIKITA MICHAEL NAIWEN AMINE MALA K ANDREW DAVID TONY GEORGE ZHERAN ADRIAN MARCO YIZI ANGELINE HAN PAULA JEFFREY CHOI CHUNG CHUNG CONSUL COYLE CUI DANANE DAOUI DHAWAN DING DONG DU DUAN DUONG FARRIER FENG FERNANDES GAO GIL GO ST. GEORGE’S SCHOOL ST. THERESA OF LISIEUX C.H.S. PRINCE OF WALES S.S. ICAE SAUNDERS S.S. WATERLOO C.I. ACADEMIE IBN-SINA ACADEMIE IBN-SINA THE WOODLANDS SCHOOL VICTORIA PARK C.I. JOHN FRASER S.S. SIR JOHN A. MACDONALD C.I. AGINCOURT C.I. WILLIAM LYON MACKENZIE C.I. STRATHCONA-TWEEDSMUIR SCHOOL CHENGCHENG PRATEEK GUI GUPTA ST. JOHN’S-RAVENSCOURT SCHOOL PICKERING H.S. BEIJING CONCORD COLLEGE OF SINO-CANADA SIR WILLIAM MULOCK S.S. SEAWAY D.H.S. LOWER CANADA COLLEGE CENTENNIAL C.V.I. UPPER CANADA COLLEGE ST. JOHN’S-RAVENSCOURT SCHOOL WOODLAND CHRISTIAN H.S. UNIVERSITY OF TORONTO SCHOOLS ST. CLAIR S.S. MARC GARNEAU C.I. MARC GARNEAU C.I. UPPER CANADA COLLEGE UNIVERSITY OF TORONTO SCHOOLS EARL HAIG S.S. WALTER MURRAY C.I. SIR WINSTON CHURCHILL C.V.I. O’NEILL C.V.I. FRANCIS LIBERMANN C.H.S. SENTINEL S.S. MATH TRAINERS GUILD OF PHILIPPINES BEIJING CONCORD COLLEGE OF SINO-CANADA ST JOSEPH’S MORROW PARK H.S. DON MILLS C.I. EARL HAIG S.S. MATH TRAINERS GUILD OF PHILIPPINES 13 Location/Endroit SCARBOROUGH, ON VANCOUVER, BC BEIJING, CHINA NEWMARKET, ON IROQUOIS, ON MONTREAL, QC GUELPH, ON TORONTO, ON WINNIPEG, MB BRESLAU, ON TORONTO, ON SARNIA, ON NORTH YORK, ON NORTH YORK, ON TORONTO, ON TORONTO, ON NORTH YORK, ON SASKATOON, SK THUNDER BAY, ON OSHAWA, ON SCARBOROUGH, ON WEST VANCOUVER, BC ZAMBOANGA CITY, PHILIPPINES VANCOUVER, BC RICHMOND HILL, ON VANCOUVER, BC TROY, MI LONDON, ON WATERLOO, ON MONTREAL, QC MONTREAL, QC MISSISSAUGA, ON NORTH YORK, ON MISSISSAUGA, ON SCARBOROUGH, ON SCARBOROUGH, ON NORTH YORK, ON OKOTOKS, AB BEIJING, CHINA NORTH YORK, ON NORTH YORK, ON NORTH YORK, ON ZAMBOANGA CITY, PHILIPPINES WINNIPEG, MB AJAX, ON Galois – Gold Standard Palmarès individuel – Galois Name/Nom STEFAN JIHO YI N CINDY KEVIN BENOIT TRACEY KAREN LOUIS SOFIA LEO QIANQIAN ERIC SONJA OLGUN MARK FRED JACKSON SHI YANG VICTORIA KATHERINE SAMIN EUISUK HYEJI JI HO BOGDAN MINSEOK ALBERT CHRIS KEITH CISSY SHEN VICTOR JACK ALBERT SARAH THEODORE EDDY TOM ZHIQIANG JULIAN KANG HADJIS HAN HANNG HE HE HILLER HINDER HO HONG HOU HSU HU HUANG ING ISLEAM IYENGAR JI JI JIA JU KANG KHAN KIM KIM KIM KNEZEVIC KWEON KWON LEE LEE LI LI LI LIANG LIAO LIM LIM LIU LIU LIU LO LOUIS School/École MARC GARNEAU C.I. ST. ANDREW’S COLLEGE MAGEE S.S. SIR WINSTON CHURCHILL S.S. DANFORTH C.I. WEST VANCOUVER S.S. CROFTON HOUSE SCHOOL SIR JOHN A. MACDONALD S.S. LISGAR C.I. VANCOUVER COLLEGE H.S. E.S. ST-LUC ST. GEORGE’S SCHOOL HAVERGAL COLLEGE WATERLOO C.I. FRANCIS LIBERMANN C.H.S. DR. NORMAN BETHUNE C.I. CEDARBRAE C.I. COLLEGE NOTRE-DAME SIR JOHN A. MACDONALD C.I. MARC GARNEAU C.I. VINCENT MASSEY S.S. ST. MICHAEL’S COLLEGE SCHOOL BRENT INT’L SCHOOL SOUTH CAMPUS LORNE PARK S.S. THE WOODLANDS SCHOOL SIR JOHN A. MACDONALD S.S. RICHVIEW C.I. PINETREE S.S. ST. MICHAEL’S COLLEGE SCHOOL BIRCHMOUNT PARK C.I. E.S. ST-LUC WALTER MURRAY C.I. SIR WINSTON CHURCHILL S.S. ST. JOHN’S-RAVENSCOURT SCHOOL JERUDONG INT’L SCHOOL ST. GEORGE’S SCHOOL MILLIKEN MILLS H.S. WESTERN CANADA H.S. DON MILLS C.I. ST. ROBERT C.H.S. RENAISSANCE COLLEGE CINDY RICHARD APALA MARIA JACOB IGOR CHRISTIAN DANIEL SUDHARSHAN MARK SUSANNE RYAN LYNN MACK MANDAL MATEEN MATTHEWS MIHAJLOVIC MIRANDA MISIEWICZ MOHANRAM MORIARTY MORRILL NIGHTINGALE GLEBE C.I. IMMACULATA REGIONAL H.S. WESTON C. I. U.W.C. SOUTH EAST ASIA STRATFORD CENTRAL S.S. VINCENT MASSEY S.S. ST. MARTIN S.S. PICKERING H.S. ICAE CHRISTIAN BROTHERS COLLEGE ST. MARY’S ACADEMY UNIVERSITY OF TORONTO SCHOOLS BEIJING CONCORD COLLEGE OF SINO-CANADA 14 Location/Endroit NORTH YORK, ON AURORA, ON BEIJING, CHINA VANCOUVER, BC VANCOUVER, BC TORONTO, ON WEST VANCOUVER, BC VANCOUVER, BC WATERLOO, ON OTTAWA, ON VANCOUVER, BC MONTREAL, QC VANCOUVER, BC NORTH YORK, ON WATERLOO, ON SCARBOROUGH, ON SCARBOROUGH, ON SCARBOROUGH, ON MONTREAL, QC SCARBOROUGH, ON NORTH YORK, ON WINDSOR, ON TORONTO, ON PASIG, PHILIPPINES MISSISSAUGA, ON MISSISSAUGA, ON WATERLOO, ON ETOBICOKE, ON COQUITLAM, BC TORONTO, ON SCARBOROUGH, ON MONTREAL, QC SASKATOON, SK VANCOUVER, BC WINNIPEG, MB NEGARA, BRUNEI VANCOUVER, BC MARKHAM, ON CALGARY, AB NORTH YORK, ON THORNHILL, ON MAN ON SHAN, HONG KONG OTTAWA, ON KELOWNA, BC TORONTO, ON SINGAPORE, STRATFORD, ON WINDSOR, ON MISSISSAUGA, ON AJAX, ON TROY, MI CORK, IRELAND WINNIPEG, MB TORONTO, ON Galois – Gold Standard Palmarès individuel – Galois Name/Nom MA REGINA ONGLAO School/École MATH TRAINERS GUILD OF PHILIPPINES DENNON AVERY TONG VIOLET NAEUN SOPHIA SOYOON ANTHONY RYAN TOM JINGYI YUE MARIYA SHAHRIAR ARESH SAMMY TINA IAN KIEL AMY HAO JARNO ELDRIDGE OOSTERMAN OZBURN PANG PANG PARK PARK PARK PAYNE PENG PENG QI QIU SARDARLI SEDDIGH SEPEHRI SHEN SKUBLICS SMITH STRANG SUN SUN SUN TAN UPPER CANADA COLLEGE HAVERGAL COLLEGE E.S. ST-LUC LORD BYNG S.S. KELVIN HIGH SCHOOL VINCENT MASSEY S.S. THORNHILL S.S. PASADENA ACADEMY WALTER MURRAY C.I. WATERLOO C.I. DON MILLS C.I. HUAMEI-BOND INT’L SCHOOL MCKERNAN J.H.S. WEST VANCOUVER S.S. ST. JOHN’S-RAVENSCOURT SCHOOL EARL HAIG S.S. EARL OF MARCH S.S. VANCOUVER COLLEGE H.S. SUNSHINE COAST ALTERNATIVE SCHOOL SENTINEL S.S. CENTENNIAL COLLEGIATE WESTERN CANADA H.S. MATH TRAINERS GUILD OF PHILIPPINES MIKE TANYA MARIA BRIAN AMANDA CA MERON CAITLIN J TANG TANG TAO TSAI TU TURNER UY SIR JOHN A. MACDONALD C.I. SIR WINSTON CHURCHILL S.S. HALIFAX WEST H.S. LORD BYNG S.S. SOUTHRIDGE SCHOOL WEST VANCOUVER S.S. MATH TRAINERS GUILD OF PHILIPPINES JULIE CHRISTOPHE ANDREI WILSON AMANDA ANGELA GLEN HANEY JESSICA KEDI LINDA SHEN SHU YANG ZHENG NISSI WEINAN PTR DENISE GABRIEL DAVID KELLY LEI VAN VANBOMMEL VOVK WAI WANG WANG WANG WANG WANG WANG WANG WANG WANG WANG WANG WEI WEN WONG WONG WU WU WU LOWER CANADA COLLEGE DR. JOHN HUGH GILLIS SCHOOL RICHMOND HILL H.S. UNIVERSITY OF TORONTO SCHOOLS SENTINEL S.S. DON MILLS C.I. WESTERN CANADA H.S. PINETREE S.S. SIR JOHN A. MACDONALD C.I. FORT RICHMOND C.I. BURNABY SOUTH S.S. LORD BYNG S.S. VINCENT MASSEY S.S. WEST VANCOUVER S.S. THE WOODLANDS SCHOOL MARKHAM D.H.S. VINCENT MASSEY S.S. UNIVERSITY OF TORONTO SCHOOLS ST. GEORGE’S SCHOOL SIR WINSTON CHURCHILL S.S. MARC GARNEAU C.I. SIR JOHN A. MACDONALD C.I. 15 Location/Endroit ZAMBOANGA CITY, PHILIPPINES TORONTO, ON NORTH YORK, ON MONTREAL, QC VANCOUVER, BC WINNIPEG, MB WINDSOR, ON THORNHILL, ON PASADENA, NL SASKATOON, SK WATERLOO, ON NORTH YORK, ON GUANGZHOU, CHINA EDMONTON, AB WEST VANCOUVER, BC WINNIPEG, MB NORTH YORK, ON KANATA, ON VANCOUVER, BC GIBSONS, BC WEST VANCOUVER, BC SASKATOON, SK CALGARY, AB ZAMBOANGA CITY, PHILIPPINES SCARBOROUGH, ON VANCOUVER, BC HALIFAX, NS VANCOUVER, BC SURREY, BC WEST VANCOUVER, BC ZAMBOANGA CITY, PHILIPPINES MONTREAL, QC ANTIGONISH, NS RICHMOND HILL, ON TORONTO, ON WEST VANCOUVER, BC NORTH YORK, ON CALGARY, AB COQUITLAM, BC SCARBOROUGH, ON WINNIPEG, MB BURNABY, BC VANCOUVER, BC WINDSOR, ON WEST VANCOUVER, BC MISSISSAUGA, ON MARKHAM, ON WINDSOR, ON TORONTO, ON VANCOUVER, BC VANCOUVER, BC NORTH YORK, ON SCARBOROUGH, ON Galois – Gold Standard Palmarès individuel – Galois Name/Nom MENGCHEN CHONG XI XIE School/École COLONEL BY S.S. CHINESE INT’L SCHOOL VIOLET ZHE ALBERT ZEYA ZHIDAO TOM LAURENCE BEN MINSOO YOU DANNY RUIQI WENKANG ANQI CHI DAKUN EDWARD HELEN JANE MIAOYING XI XI ZIYUE PEI JUN RITCHIE CISSY HAONAN MOLLY XINGYU HENRY WENBO JONATHAN XU XU YANG YANG YANG YE YING YOON YOON YOON YU YU YU ZHANG ZHANG ZHANG ZHANG ZHANG ZHANG ZHANG ZHANG ZHANG ZHANG ZHAO ZHAO ZHOU ZHOU ZHOU ZHOU ZHU ZHU ZUNG WESTERN CANADA H.S. ERIC HAMBER S.S. BAYVIEW S.S. COLONEL BY S.S. DELIA SCHOOL OF CANADA S.S. GLENFOREST S.S. UNIVERSITY OF TORONTO SCHOOLS DR. G.W. WILLIAMS S.S EARL HAIG S.S. ICAE ERIC HAMBER S.S. STEPHEN LEACOCK C.I. GUANGYA SCHOOL VINCENT MASSEY S.S. GLENFOREST S.S. E.S. ST-LUC LISGAR C.I. NORTHERN S.S. MARC GARNEAU C.I. WATERLOO C.I. SAINT JOHN H.S. SIR WINSTON CHURCHILL S.S. SIR JOHN A. MACDONALD C.I. LONDON CENTRAL S.S. MARC GARNEAU C.I. UNIVERSITY OF TORONTO SCHOOLS MARC GARNEAU C.I. DAVID THOMPSON S.S. WALTER MURRAY C.I. TEMPLETON S.S. SIR JOHN A. MACDONALD C.I. UNIVERSITY OF TORONTO SCHOOLS 16 Location/Endroit GLOUCESTER, ON BRAEMAR HILL, HONG KONG CALGARY, AB VANCOUVER, BC RICHMOND HILL, ON GLOUCESTER, ON TAIKOO SHING, CHINA MISSISSAUGA, ON TORONTO, ON AURORA, ON NORTH YORK, ON TROY, MI VANCOUVER, BC SCARBOROUGH, ON SICHUAN, CHINA WINDSOR, ON MISSISSAUGA, ON MONTREAL, QC OTTAWA, ON TORONTO, ON NORTH YORK, ON WATERLOO, ON SAINT JOHN, NB VANCOUVER, BC SCARBOROUGH, ON LONDON, ON NORTH YORK, ON TORONTO, ON NORTH YORK, ON VANCOUVER, BC SASKATOON, SK VANCOUVER, BC SCARBOROUGH, ON TORONTO, ON Hypatia – Gold Standard Palmarès individuel – Hypatie The top 25% of the competitors in each of the three Contests were divided into three categories: Gold Standard, Silver Standard and Bronze Standard, in the ratio 1 : 2 : 3. The names of the those students achieving the Gold Standard (that is, scoring in roughly the top 4%) are listed alphabetically below for each Contest. Les candidats qui se classent dans le premier quart de classement dans chacun des trois concours ont été répartis en trois catégories: le niveau or, le niveau argent et le niveau bronze, selon le ratio 1 : 2 : 3. Le nom des étudiants qui ont obtenu le niveau or (c’est-à-dire ceux qui se classent parmi les premiers 4 p. 100) est donné par ordre alphatbétique ci-dessous pour chaque concours. Name/Nom REZA CARLO ABASI ADAJAR School/École VICTORIA PARK C.I. MATH TRAINERS GUILD OF PHILIPPINES EUN JI HYEON JIN MIN JIXIN SHALEV CHRISTOPHR AN BAE BAI BAO BEN DAVID BHOJWANI WEST VANCOUVER S.S. UNIVERSITY OF TORONTO SCHOOLS WESTERN CANADA H.S. FOREST HILL C.I. WATERLOO C.I. MATH TRAINERS GUILD OF PHILIPPINES HAN TAYLOR JENNY JERRY WEILIANG PETER SUHHYUN NICOLE YOOKYUNG BO CHENG ELAINE RICHARD KEVIN BOTAO CAO CHEN CHEN CHEN CHIEN CHOE CHUN CHUNG CUI CUI DEVRIES DY DIMITRI ARAM XINYI CLAIR SOLA ZHEBIN JAMES TONY KINA HEATHER NAVID FAN YANGZI FENG HEE WOO GAUTAM NATASHA YI TIMOTHY LI JOE DERYK HANEUL DZIABENKO EBTEKAR GUO HAN HAN HU HUANG HUANG IKEZU ISENEGGER JAVADI JIANG JIANG JIN JUN KAMATH KANG KANG KATOO KE KILEEL KIM KIM BEIJING CONCORD COLLEGE OF SINO-CANADA ALBERT CAMPBELL C.I. DON MILLS C.I. MOSCROP S.S. WALTER MURRAY C.I. CENTRAL ELGIN C. I. T.A. BLAKELOCK H.S. HAVERGAL COLLEGE THE ANGLO-AMERICAN SCHOOL OF MOSCOW WEST VANCOUVER S.S. WESTERN CANADA H.S. TORONTO DISTRICT CHRISTIAN H.S. MATH TRAINERS GUILD OF PHILIPPINES DON MILLS C.I. PORT MOODY S.S.S. NORTH TORONTO C.I. MARC GARNEAU C.I. BALMORAL HALL SCHOOL ECOLE INT’L DE MONTREAL SIR JOHN A. MACDONALD C.I. ALBERT CAMPBELL C.I. THE ANGLO-AMERICAN SCHOOL OF MOSCOW WEST FERRIS S.S. EARL HAIG S.S. ALBERT CAMPBELL C.I. WATERLOO C.I. VICTORIA PARK C.I. PINETREE S.S. WESTDALE S.S. SIR WINSTON CHURCHILL S.S. CENTENNIAL C.V.I. WEST VANCOUVER S.S. BEIJING CONCORD COLLEGE OF SINO-CANADA FREDERICTON H.S. WALNUT GROVE S.S. BALMORAL HALL SCHOOL 17 Location/Endroit NORTH YORK, ON ZAMBOANGA CITY, PHILIPPINES WEST VANCOUVER, BC TORONTO, ON CALGARY, AB TORONTO, ON WATERLOO, ON ZAMBOANGA CITY, PHILIPPINES BEIJING, CHINA SCARBOROUGH, ON NORTH YORK, ON BURNABY, BC SASKATOON, SK ST THOMAS, ON OAKVILLE, ON NORTH YORK, ON MOSCOW, RUSSIA WEST VANCOUVER, BC CALGARY, AB WOODBRIDGE, ON ZAMBOANGA CITY, PHILIPPINES NORTH YORK, ON PORT MOODY, BC TORONTO, ON NORTH YORK, ON WINNIPEG, MB WESTMOUNT, QC SCARBOROUGH, ON SCARBOROUGH, ON MOSCOW, RUSSIA NORTH BAY, ON NORTH YORK, ON SCARBOROUGH, ON WATERLOO, ON NORTH YORK, ON COQUITLAM, BC HAMILTON, ON VANCOUVER, BC GUELPH, ON WEST VANCOUVER, BC BEIJING, CHINA FREDERICTON, NB LANGLEY, BC WINNIPEG, MB Hypatia – Gold Standard Palmarès individuel – Hypatie Name/Nom HANJUN HYONTAE MINSOO DANIEL CARMELA KIM KIM KIM LAM LAO School/École ST. ROBERT C.H.S. PHILIP POCOCK C.S.S. BRENT INT’L SCHOOL SOUTH CAMPUS UNIVERSITY OF TORONTO SCHOOLS MATH TRAINERS GUILD OF PHILIPPINES SIMON DANIEL KEVIN SEUNG HYUN SUNG HO HAO EDWARD JOEL TAN XING YAN YIFAN ZHE ALBERT SUNNY HUI KUN ERIC SI RUI WILLIAM XUNCHAO YINGNA YU XIANG WILLIAM WENJUAN BENSON SACHA CRISTINA JINGYUAN AMANDA SEUNG KEITH KELVIN THANH HAILIN BILL ANUPAMA ALEXANDER ALONSO JONATHAN CALVIN ASRA KRITHIKA GE DONGWOO HEIJU CHEN JULIAN PHILIP MARK LAW LEE LEE LEE LEE LEI LI LI LI LI LI LI LIANG LIN LING LIU LIU LIU LIU LIU LIU LOU LU LUNG MANGEREL MITRIC MO MURDOCH NAM NG NG NGUYEN PAN PANG PRASAD REMOROV RHEE SCHNEIDER SEO SHAIK SHANMUGASUNDAR SHI SHIN SONG SUN SUN SUN TAN PRINCE OF WALES S.S. A.B. LUCAS S.S. SIR WINSTON CHURCHILL S.S. SEAQUAM S.S. MATH TRAINERS GUILD OF PHILIPPINES ZHEN TAO A.B. LUCAS S.S. ERIC HAMBER S.S. CRESCENT SCHOOL VINCENT MASSEY S.S. VANCOUVER COLLEGE H.S. DOVER BAY S.S. BAYVIEW S.S. NORTH TORONTO C.I. SIR WINSTON CHURCHILL S.S. DAVID THOMPSON S.S. COLLEGE ST-LOUIS DR. NORMAN BETHUNE C.I. VINCENT MASSEY S.S. CENTENNIAL C.V.I. VINCENT MASSEY S.S. BEIJING CONCORD COLLEGE OF SINO-CANADA SIR WINSTON CHURCHILL S.S. BEIJING CONCORD COLLEGE OF SINO-CANADA SIR JOHN A. MACDONALD C.I. PORT MOODY S.S.S. SENTINEL S.S. WESTERN CANADA H.S. SEAQUAM S.S. VINCENT MASSEY S.S. MARC GARNEAU C.I. UNIVERSITY OF TORONTO SCHOOLS E.S. ST-LUC ST. GEORGE’S SCHOOL LONDON CENTRAL S.S. ST. GEORGE’S SCHOOL ST. FRANCIS XAVIER S.S. MARKHAM D.H.S. THE WOODLANDS SCHOOL SENTINEL S.S. SIR WINSTON CHURCHILL S.S. ICAE WILLIAM LYON MACKENZIE C.I. BURNABY SOUTH S.S. UNIVERSITY OF TORONTO SCHOOLS ST. ANDREW’S COLLEGE ICAE ICAE VANIER COLLEGE THE ANGLO-AMERICAN SCHOOL OF MOSCOW 18 Location/Endroit THORNHILL, ON MISSISSAUGA, ON PASIG, PHILIPPINES TORONTO, ON ZAMBOANGA CITY, PHILIPPINES VANCOUVER, BC NORTH YORK, ON WINDSOR, ON VANCOUVER, BC NANAIMO, BC RICHMOND HILL, ON TORONTO, ON VANCOUVER, BC VANCOUVER, BC LASALLE, QC SCARBOROUGH, ON WINDSOR, ON GUELPH, ON WINDSOR, ON BEIJING, CHINA VANCOUVER, BC BEIJING, CHINA SCARBOROUGH, ON PORT MOODY, BC WEST VANCOUVER, BC CALGARY, AB DELTA, BC WINDSOR, ON NORTH YORK, ON TORONTO, ON MONTREAL, QC VANCOUVER, BC LONDON, ON VANCOUVER, BC MISSISSAUGA, ON MARKHAM, ON MISSISSAUGA, ON WEST VANCOUVER, BC VANCOUVER, BC TROY, MI NORTH YORK, ON BURNABY, BC TORONTO, ON AURORA, ON TROY, MI TROY, MI ST LAURENT, QC MOSCOW, RUSSIA VANCOUVER, BC LONDON, ON VANCOUVER, BC DELTA, BC ZAMBOANGA CITY, PHILIPPINES LONDON, ON Hypatia – Gold Standard Name/Nom GEORGE PHILIP ZHONGYI MATTHEW RAYMOND YANZHUO YIWEN WENDY JOEL CECILLIA MING JINQ SHENGYI GUO H HEESUNG JUSTIN MARK YUNJIE VICK COREY YANG WENBO YANG WU HANPEI JUN NAN TERRY VICTOR XINYANG ANDY JIAHUA TOM YAN JACK MICHAEL YI WENLI YANG TONY HUI TSAI VANDERVIES WAN WANG WANG WANG WANG WEN WILLIAMSON WONG WONG WU YANG YANG YANG YANG YANG YAO YEDNOROZ YIFAN YIN YUAN YUCHEN ZHANG ZHANG ZHANG ZHANG ZHANG ZHAO ZHAO ZHAO ZHAO ZHOU ZHOU ZHOU ZHU ZHU ZHUANG ZOU Palmarès individuel – Hypatie School/École ST. GEORGE’S SCHOOL LONDON DIST. CHRISTIAN S.S. AGINCOURT C.I. WOBURN C.I. QUEEN ELIZABETH H.S. YORK MILLS C.I. UNIONVILLE H.S. UNIONVILLE H.S. ROCKWAY MENNONITE C.I. UNIVERSITY OF TORONTO SCHOOLS A.B. LUCAS S.S. LORD TWEEDSMUIR S.S.S. BEIJING CONCORD COLLEGE OF SINO-CANADA WEST VANCOUVER S.S. LORD BYNG S.S. PRINCE OF WALES C.I. WATERLOO C.I. VINCENT MASSEY S.S. VINCENT MASSEY S.S. PRINCE OF WALES S.S. WALTER MURRAY C.I. E.S. ST-LUC BEIJING CONCORD COLLEGE OF SINO-CANADA MATH CHALLENGE AT WESTERN E.S. ST-LUC SIR JOHN A. MACDONALD C.I. MARC GARNEAU C.I. ORILLIA D.C.V.I. VINCENT MASSEY S.S. VINCENT MASSEY S.S. SIR WINSTON CHURCHILL S.S. GLEBE C.I. UNIVERSITY OF TORONTO SCHOOLS WESTERN CANADA H.S. THORNHILL S.S. L’AMOREAUX C.I. ALBERT CAMPBELL C.I. VINCENT MASSEY S.S. LORD BYNG S.S. 19 Location/Endroit VANCOUVER, BC LONDON, ON SCARBOROUGH, ON SCARBOROUGH, ON CALGARY, AB NORTH YORK, ON MARKHAM, ON MARKHAM, ON KITCHENER, ON TORONTO, ON LONDON, ON SURREY, BC BEIJING, CHINA WEST VANCOUVER, BC VANCOUVER, BC ST JOHN’S, NL WATERLOO, ON WINDSOR, ON WINDSOR, ON VANCOUVER, BC SASKATOON, SK MONTREAL, QC BEIJING, CHINA LONDON, ON MONTREAL, QC SCARBOROUGH, ON NORTH YORK, ON ORILLIA, ON WINDSOR, ON WINDSOR, ON VANCOUVER, BC OTTAWA, ON TORONTO, ON CALGARY, AB THORNHILL, ON SCARBOROUGH, ON SCARBOROUGH, ON WINDSOR, ON VANCOUVER, BC