Canadian Mathematics Competition An activity of the Centre for Education in Mathematics and Computing, University of Waterloo, Waterloo, Ontario 2005 Results Euclid Contest Concours canadien de mathématiques Une activité du Centre d’éducation en mathématiques et en informatique, Université de Waterloo, Waterloo, Ontario 2005 Résultats Concours Euclide C.M.C. Supporters: C.M.C. Sponsors: Canadian Institute of Actuaries Institut canadien des actuaires Chartered Accountants Comptables agréés Great West Life and London Life London Life, compagnie d’assurance-vie et La Great-West, compagnie d’assurance vie Sybase iAnywhere Solutions c 2005 Waterloo Mathematics Foundation Downloaded From: Competition Organization Organisation du Concours Canadian Mathematics Competition Faculty and Staff / Personnel du Concours canadien de mathématiques Barry Ferguson (Director) Ed Anderson Lloyd Auckland Peter Crippin Mike Eden Judy Fox Judith Koeller Joanne Kursikowski Angie Lapointe Matthew Oliver Larry Rice Linda Schmidt Kim Schnarr Carolyn Sedore Ian VanderBurgh Problems Committee / Comité des problèmes Ross Willard (Chair / président), University of Waterloo, Waterloo, ON George Bluman, University of British Columbia, Vancouver, BC Adam Brown, University of Toronto Schools, Toronto, ON Steve Brown, University of Waterloo, Waterloo, ON Charlotte Danard, Branksome Hall School, Toronto, ON Richard Hoshino, Dalhousie University, Halifax, NS Garry Kiziak, Burlington Central H.S., Burlington, ON Darren Luoma, Bear Creek S.S., Barrie, ON John Savage, Sheguiandah, ON Downloaded From: 2 Comments on the Paper Commentaires sur les épreuves Overall Comments Congratulations to every student who prepared for and wrote the 2005 Euclid Contest. Overall, the results on this year’s Contest were very strong. The average score of almost 49 out of 100 is almost 4 points higher than in 2004, but at the same time this year’s Euclid Contest again provided an excellent challenge to Canada’s top secondary school mathematicians. As with every year, everyone involved in the preparation of this year’s Euclid Contest worked hard to try to produce a paper which was fair to students from all parts of the country, which had some problems which could be approached by every student who wrote the paper, which had a variety of “different looking” problems, and which had problems to test the abilities of our very top students. We would like to extend our heartfelt thanks to those who helped in its production. To the students who wrote, the parents who supported them, and the teachers who helped them along the way, thank you for your continuing participation and support, we hope that you enjoyed the Contest and relished the challenges that it provided. We hope that mathematics contests continue to feed your love for and interest in mathematics. Specific Comments 1. Average: 8.3 All three parts of this problem were very well done. A slope argument was the most common approach used in (b). In (c), students quickly found the lengths of AO and CD. A common mistake from this point was for students then to find the length of AC instead of its midpoint. 2. Average: 8.1 Again, all three parts of this problem were well done, although students typically took less direct approaches to (b) and (c) than were necessary. In (b), it was possible to solve for a without first solving for b and c – this could be done by adding the three equations which eliminates b and c. Similarly, in (c), the average score could be found without first finding the scores of John and Mary. A common mistake in (c) occurred when students began by writing down two equations but without first defining their variables (i.e. “Let J be John’s score”). 3. Average: 8.6 This problem was well done! Students generally had more success in (a) than in past questions involving exponent rules. The students who seemed to struggle most with (a) were those who picked up their calculators first. Part (b) had at least two different possible approaches. 4. Average: 7.0 Part (a) posed the most difficulties of any of the parts in Problems 1 to 4. A variety of incorrect applications of counting techniques yielded one or no marks in (a). The most successful approach to this part tended to be to simply list the possible pairs. Most students rebounded from (a) to find success in (b). 5. Average: 5.4 Part (a) tended to be well done. A common mistake was the assumption that the goat moves 55 times rather than a total of 55 units (i.e. 10 moves). In (b), most students received full marks, but solutions were not particularly well written. Many students skipped a number of steps in their solution (for instance jumping immediately from r2 − 2r + 1 = 0 directly to r = 1 without showing any intermediate steps). 6. Average: 4.1 The results in (a) were not strong. Many students were aware that the point moved 4 times, and concluded that the answer was 4 times the side length of the triangle, or 12. In (b), students wrote good solutions, with many receiving at least 6 out of 7. In the process of the solution, it is found that cos(∠A) = 15 . Many used Downloaded From: 3 Comments on the Paper Commentaires sur les épreuves their calculator to find a decimal approximation of ∠A and continued – this unfortunately can introduce rounding error. The best approach was to use the value of cos(∠A) to solve the problem without actually solving for ∠A. 7. Average: 3.3 Students in general struggled with (a). Part (b) was appropriately placed on the paper. The most common problem that was observed in the correct solutions presented was when students obtained the equation k 2 = 4k and then failed to explain why k = 0 is inadmissible. 8. Average: 2.9 To receive full marks in (a), students had to produce the correct graph and identify the shape of each of the three portions of the graph. Students who found the equation of each portion had reasonably good success. Students who tried to graph the middle portion by plotting points tended to guess that the graph was parabolic rather than part of a circle. In (b), many students succeeded in proving the required through one of the many different possible solutions. In solutions to this problem, it is important that any constructions which are made are described and justified. For example, if students joined the centres of the two circles, they needed to explain that this line segment passes through the point of tangency of the two circles. 9. Average: 0.5 Problem 9 was a difficult problem. Part (a) needed to be done algebraically, but could be helped along with some recognition of the symmetry of the problem. In (b), either an algebraic or geometric argument could have been used to maximize the area of the quadrilateral. Part (c) was a minimization problem which first required some algebra and then some insight. 10. Average: 0.5 Problem 10 was a very difficult but quite interesting problem. At a first glance, it appears to be quite similar to the more standard locker problem: Suppose that you are at a school that has student lockers. There are 2005 lockers, all shut and unlocked, and 2005 students. Suppose the first student goes along the row and opens every locker. The second student then goes along and shuts every other locker beginning with number 2. The third student changes the state of every third locker beginning with number 3. (If the locker is open the student shuts it, and if the locker is closed the student opens it.) The fourth student changes the state of every fourth locker beginning with number 4. Imagine that this continues until the 2005 students have followed the pattern with the thousand lockers. At the end, which lockers will be open and which will be closed? Why? However, after fiddling around with this problem, we can see that it is quite different! On the Contest, part (a) can be done by reading and understanding the problem and then proceeding systematically. Parts (b) and (c) were then quite a bit more difficult. A good way to try to begin to get a handle on this problem is by calculating f (n) for a number of small values of n. Please visit our website at www.cemc.uwaterloo.ca to download the 2005 Euclid Contest, plus full solutions. Downloaded From: 4 Comments on the Paper Commentaires sur les épreuves Commentaires généraux Félicitations à chaque étudiant qui cest préparé au et a écrit le concours Euclide 2005. En général, les résultats du concours de cette année ont été très forts. La note moyenne près de 49 sur 100 est presque 4 points plus haute quen 2004, mais en même temps le concours Euclide de cette année a encore fourni un défi excellent aux meilleurs mathématiciens canadiens d’école secondaire. Comme à chaque année, toutes les personnes impliquées dans la préparation du concours Euclide de cette année ont travaillé dur pour essayer de produire un concours qui était juste pour les étudiants de toutes les parties du pays, qui avait aussi quelques problèmes qui pouvaient êtres approchés par chaque étudiant qui a participé au concours, qui avait un assortiment de différents problèmes, et des problèmes qui testaient les habiletés de nos meilleurs étudiants. Nous aimerions étendre un sincère merci à ceux qui ont aidé dans sa production. Aux étudiants qui ont participé, aux parents qui les ont soutenus, et aux enseignants qui les ont aidés en cours de route, merci pour votre participation et votre soutien continuel, nous espérons que vous avez apprécié le concours et avez savouré les défis qu’il a fourni. Nous espérons que les concours mathématiques continuent à nourrir votre amour et votre intérêt pour les mathématiques. Commentaires spécifiques 1. Moyenne : 8,3 Toutes les trois parties de ce problème ont été très bien faites. Un argument de pente était l’approche la plus commune utilisé dans (b). Dans (c), les étudiants ont trouvé rapidement les longueurs de AO et CD. Une erreur commune était que les étudiants trouvaient la longueur AC au lieu de son au milieu. 2. Moyenne : 8,1 Encore, toutes les trois parties de ce problème ont été bien faites, bien que les étudiants aient pris typiquement moins dapproches directes dans (b) et (c) qu’il était nécessaire. Dans (b), il était possible de résoudre a avant de résoudre pour b et c – ceci pouvait être fait en additionnant les trois équations qui éliminent b et c. De même, dans (c), la note moyenne pouvait être trouvé avant de trouver les notes de Jean et Marie. Une erreur commune dans (c) était quand les étudiants commençaient à écrire deux équations mais sans définir premièrement leurs variables (ex. : Soit J la note de Jean). 3. Moyenne : 8,6 Ce problème a été bien fait! Les étudiants avaient généralement plus de succès dans (a) que dans les questions du passées impliquant les règles d’exposants. Les étudiants qui ont semblé lutter le plus avec (a) étaient ceux qui ont pris leurs calculatrices en premier. La partie (b) avait au moins deux différentes approches possibles. 4. Moyenne : 7,0 La partie (a) a causé plus de difficultés que nimporte quelle autre partie des problèmes 1 à 4. Un assortiment d’applications inexactes de techniques de calculs a laissé un ou aucun point dans (a). L’approche la plus réussite dans cette partie était simplement d’énumérer les paires possibles. La plupart des étudiants ont rebondi dans (a) pour avoir du succès dans (b). 5. Moyenne : 5,4 La partie (a) a eu tendance à être bien faite. Une erreur commune était la supposition que la chèvre se déplace 55 fois au lieu d’un total de 55 unités (10 mouvements). Dans (b), la plupart des étudiants ont reçu tous les points, mais les solutions n’étaient pas particulièrement bien écrites. Beaucoup d’étudiants ont sauté plusieurs étapes dans leur solution (par exemple sauter tout de suite de r2 − 2r + 1 = 0 directement à r = 1 sans montre les étapes intermédiaires). 6. La Moyenne : 4,1 Les résultats dans (a) n’étaient pas fort. Beaucoup d’étudiants étaient conscients que le point s’est déplacé 4 fois, et ont conclu que la réponse était 4 fois la longueur latérale du triangle, ou 12. Dans (b), les étudiants Downloaded From: 5 Comments on the Paper Commentaires sur les épreuves ont écrit de bonnes solutions, avec beaucoup recevant au moins 6 sur 7. Dans le procédé de la solution, il est trouvé que cos(∠A) = 15 . Beaucoup ont utilisé leur calculatrice pour trouver une approximation décimale de ∠A et ont continué - ceci peut introduire malheureusement une erreur darrondissement. La meilleure approche était d’utiliser la valeur de cos(∠A) pour résoudre le problème sans résoudre pour ∠A. 7. Moyenne : 3,3 Les étudiants, en général, se sont débattus avec (a). La partie (b) a été placée de façon appropriée dans le concours. Le problème le plus commun qui a été observé dans les solutions correctes présentées était quand les étudiants ont obtenu l’équation k 2 = 4k et n’ont pas expliqué alors pourquoi k = 0 est inadmissible. 8. Moyenne : 2,9 Pour recevoir tous les points dans (a), les étudiants devaient produire un graphique correct et identifié la forme de chacune des trois portions du graphique. Les étudiants qui ont trouvé l’équation de chaque portion avaient raisonnablement un bon succès. Les étudiants qui ont essayé de tracé la portion du milieu en insérant des points ont eu tendance à deviner que le graphique était parabolique au lieu que dune partie d’un cercle. Dans (b) beaucoup d’étudiants sont arrivés à prouvé ce qui était requis avec une vague sélection de différentes solutions possibles. Dans les solutions à ce problème, c’est important que toutes constructions faites soient décrites et soient justifiées. Par exemple, si les étudiants ont joint les centres des deux cercles, ils ont eu besoin d’expliquer que le segment passe par le point de tangence des deux cercles. 9. Moyenne : 0,5 Le problème 9 était un problème difficile. La partie (a) avait besoin d’être algébriquement fait, mais pouvait être aidé avec quelque reconnaissance de la symétrie du problème. Dans (b), un argument algébrique ou géométrique pouvait être utilisé pour maximiser le secteur du quadrilatère. La partie (c) était un problème de minimisation qui, en premier, exigeait de lalgèbre et ensuite de la perspicacité. 10. Moyenne : 0,5 Le problème 10 était très difficile mais tout à fait intéressant. à un premier coup d’oeil, il a l’air d’être similaire au problème de casier plus standard : Supposons que vous êtes à une école qui a des casiers d’étudiant. Il y a 2005 casiers, tous fermer et débarré, et 2005 étudiants. Supposons que le premier étudiant va le long du rang et ouvre chaque casier. Le deuxième étudiant va et ferme tous les deux casiers commençant avec numéro 2. Le troisième étudiant change l’état de chaque troisième casier commençant avec numéro 3 (si le casier est ouvert l’étudiant le ferme, et si le casier est fermé létudiant louverture). Le quatrième étudiant change l’état de chaque quatrième casier commençant avec numéro 4. Imaginez que ceci continue jusqu’à ce que les 2005 étudiants aient suivi le modèle avec les mille casiers. à la fin, quels casiers seront ouverts et lesquels seront fermés? Pourquoi? Cependant, après avoir joué avec ce problème, nous pouvons voir que c’est tout à fait différent! Dans le concours, la partie (a) peut être fait en lisant et comprenant le problème et en procédant alors systématiquement. Les parties (b) et (c) étaient pas mal plus difficiles. Une bonne façon pour essayer de commencer à trouver la solution de ce problème est en calculant f (n) pour plusieurs petites valeurs de n. Veuillez visiter notre site Web à www.cemc.uwaterloo.ca pour télécharger le Concours Euclide 2005, avec solutions complètes. Downloaded From: 6 Champions – 2005 Champions – 2005 STUDENTS / ÉLÈVES Students are listed in alphabetical order. / Les élèves sont nommés en ordre alphabetique. Gold Medals/ Médailles d’or Boris Braverman Elyot Grant Alexander Remorov Peng Shi Yufei Zhao Sir Winston Churchill H.S. Cameron Heights C.I. Waterloo C.I. Sir John A. Macdonald C.I. Don Mills C.I. Calgary, AB Kitchener, ON Waterloo, ON Agincourt, ON Don Mills, ON Each Gold medallist receives a $500 cash prize from the Centre for Education in Mathematics and Computing. / Chaque élève qui reçois une médaille d’or recevra aussi un prix de 500 $ du Centre d’éducation en mathématiques et en informatique. Book Prizes/ Prix en livres Francis Chung Lin Fei Yin Ge Viktoriya Krakovna Shengyan Liu Taotao Liu Yiannis Loizides Sarah Sun Shaun White Lantian Zhou Zhe Zhu A.B. Lucas S.S. Don Mills C.I. Marianopolis College Vaughan Road Academy Martingrove C.I. Vincent Massey S.S. Hillcrest H.S. Holy Trinity Academy Vincent Massey S.S. Georges Vanier S.S. David & Mary Thomson C.I. TEAMS / ÉQUIPES Champion/Première: Waterloo C.I. Second/Deuxième: Vincent Massey S.S. Third/Troisième: Don Mills C.I. Fourth/Quatrième: A.B. Lucas S.S. Fifth/Cinquième: Sir John A. Macdonald C.I. Waterloo, ON Windsor, ON Don Mills, ON London, ON Agincourt, ON Downloaded From: 7 London, ON Don Mills, ON Montreal, QC Toronto, ON Etobicoke, ON Windsor, ON Ottawa, ON Okotoks, AB Windsor, ON North York, ON Scarborough, ON Enrollment Inscription Number of students registered by province / Nombre d’étudiants inscrit par province NL NS NB PE QC ON MB SK AB BC YT International Total Enrollment/ Inscription 222 258 296 22 240 8669 392 233 559 3279 4 1377 15784 There were 1173 schools enrolled. / 1173 écoles étaient inscrites. Downloaded From: 8 Student Rankings Score/ Note 100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 79 78 77 76 75 Rank/ Position 1 2 6 8 9 17 20 24 26 33 42 53 64 80 104 126 152 182 223 266 320 384 Classements des élèves Score/ Note 74 73 72 71 70 69 68 67 66 65 64 63 62 61 60 59 58 57 56 55 54 53 52 51 50 Rank/ Position 459 528 604 678 780 886 999 1094 1232 1388 1530 1680 1853 2007 2212 2400 2595 2822 3016 3244 3448 3645 3894 4085 4317 Score/ Note 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 Rank/ Position 4566 4783 5000 5253 5525 5768 6038 6252 6445 6668 6895 7092 7300 7489 7662 7833 7994 8140 8272 8437 8572 8692 8811 8897 8979 Score/ Note 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 Rank/ Position 9072 9153 9238 9298 9356 9411 9461 9501 9545 9580 9607 9640 9669 9693 9717 9733 9749 9763 9772 9781 9792 9804 9811 N.B. These rankings pertain to officials contestants only. / N.B. Ces rangs ne s’appliquent qu’aux concurrents officiels. Distribution of Marks / Distribution des points This chart pertains to all competitors. / Le graphique s’applique à tous les concurrents. Number of competitors: 12 105 Average Mark: 48.75 Score/ Note 81-100 76-80 71-75 66-70 61-65 56-60 51-55 46-50 41-45 36-40 31-35 26-30 21-25 0-20 Percentage of Students/ Pourcentage des ètudiants 1.8 2.8 4.5 6.6 8.8 10.9 10.9 12.0 11.1 9.6 7.5 5.4 3.7 4.4 Cumulative Percentage/ Pourcentage accumulé 1.8 4.6 9.1 15.7 24.5 35.4 46.3 58.3 69.4 79.0 86.5 91.9 95.6 100.0 Downloaded From: 9 9819 Canadian Team Honour Roll 1 2 3 4 5 6 7 8 9 12 14 15 17 19 21 23 24 29 32 33 35 39 40 44 45 49 Palmarès des équipe à l’échelle nationale School École Waterloo C.I. Vincent Massey S.S. Don Mills C.I. A.B. Lucas S.S. Sir John A. Macdonald C.I. Western Canada H.S. Marianopolis College Earl Haig S.S. Burnaby North S.S. Dr. Norman Bethune C.I. The Woodlands School A.Y. Jackson S.S. Sir Winston Churchill H.S. York Mills C.I. Glebe C.I. Martingrove C.I. Albert Campbell C.I. St. George’s School Port Moody S.S.S. University of Toronto Schools Jarvis C.I. University Hill S.S. Lisgar C.I. Crescent School London Central S.S. Richmond Hill H.S. Unionville H.S. Upper Canada College - Upper School Agincourt C.I. Seaquam S.S. St. John’s-Ravenscourt School Thornhill S.S. Harbord C.I. Windermere S.S. Mount Douglas S.S. O’Neill C.V.I. Walter Murray C.I. Yale S.S. Merivale H.S. J.N. Burnett S.S. Northern S.S. Old Scona Academic H.S. St. Andrew’s College Pushkin Private School Bluevale C.I. Columbia Int’l College Glenforest S.S. Hugh McRoberts S.S. Earl of March S.S. Gleneagle S.S. Iroquois Ridge H.S. Langstaff S.S. Sir Robert Borden H.S. Stephen Leacock C.I. Location Endroit Waterloo, ON Windsor, ON Toronto, ON London, ON Agincourt, ON Calgary, AB Montreal, QC North York, ON Burnaby, BC Toronto, ON Mississauga, ON Toronto, ON Calgary, AB North York, ON Ottawa, ON Etobicoke, ON Toronto, ON Vancouver, BC Port Moody, BC Toronto, ON Toronto, ON Vancouver, BC Ottawa, ON Toronto, ON London, ON Richmond Hill, ON Markham, ON Toronto, ON Scarborough, ON North Delta, BC Winnipeg, MB Thornhill, ON Toronto, ON Vancouver, BC Victoria, BC Oshawa, ON Saskatoon, SK Abbotsford, BC Ottawa, ON Richmond, BC Toronto, ON Edmonton, AB Aurora, ON Thornhill, ON Waterloo, ON Hamilton, ON Mississauga, ON Richmond, BC Kanata, ON Coquitlam, BC Oakville, ON Richmond Hill, ON Nepean, ON Scarborough, ON Score Note 278 275 273 263 260 258 256 255 254 254 254 253 253 252 251 251 249 249 246 246 245 245 242 241 241 241 241 241 240 240 240 239 238 238 237 237 237 237 236 235 235 235 235 234 233 233 233 233 232 232 232 232 232 232 There were 841 three-student teams./Il y avait 841 équipes de trois élèves. Downloaded From: 2005 Euclid contest/Concours Euclid Canadian Honour Roll/Liste Canadienne des honneurs Group 1/Groupe 1 scores 97 - 92 Name/Nom BORIS FRANCIS LIN YIN ELYOT VIKTORIYA SHENGYAN TAOTAO YIANNIS ALEXANDER PENG SARAH SHAUN YUFEI LANTIAN ZHE BRAVERMAN CHUNG FEI GE GRANT KRAKOVNA LIU LIU LOIZIDES REMOROV SHI SUN WHITE ZHAO ZHOU ZHU Group 2/Groupe 2 Name/Nom JIMMY ALAN RAY SUNGJOO ALI JAESEUNG ANDY MICHAEL STANLEY YING GILLIAN HENRY DING WILLIAM JENNIFER MICHAEL MENG ROMAN JIMMY DAVID MALKA QI YIYI PENG JIMMY ALLEN DENG GUO JIA KANG KAZERANI KIM KONG LEE LEI LING LIU LIU MA PARK PARK SHAN SHAPIRO SHEN WANG WRIGLEY YANG YANG YE ZHANG School/Ecole Location/Endroit Sir Winston Churchill H. S. A.B. Lucas S.S. Don Mills C.I. Marianopolis College Cameron Heights C.I. Vaughan Road Academy Martingrove C.I. Vincent Massey S.S. Hillcrest H.S. Waterloo C.I. Sir John A. Macdonald C.I. Holy Trinity Academy Vincent Massey S.S. Don Mills C.I. Georges Vanier S.S. David & Mary Thomson C.I. Calgary London Don Mills Montreal Kitchener Toronto Etobicoke Windsor Ottawa Waterloo Agincourt Okotoks Windsor Don Mills North York Scarborough Grade/Niveau Age 10 12 10 13 12 11 12 12 11 9 11 11 12 11 12 12 15 18 17 19 18 17 18 17 17 15 17 17 18 17 19 18 scores 91 - 87 School/Ecole Location/Endroit Earl Haig S.S. O'Neill C.V.I. Waterloo C.I. Gleneagle S.S. Waterloo C.I. Westmount C.I. Vincent Massey S.S. The Woodlands S. York Mills C.I. Lisgar C.I. Waterloo C.I. Burnaby North S.S. Waterloo C.I. Bluevale C.I. Thornhill S.S. Vincent Massey S.S. Vincent Massey S.S. Vincent Massey S.S. A.B. Lucas S.S. Old Scona Academic H.S. SA TEC @ W.A. Porter C.I. Western Canada H.S. Sir John A. Macdonald C.I. St. George's School North York Oshawa Waterloo Coquitlam Waterloo Thornhill Windsor Mississauga North York Ottawa Waterloo Burnaby Waterloo Waterloo Thornhill Windsor Windsor Windsor London Edmonton Scarborough Calgary Agincourt Vancouver Downloaded From: Grade/Niveau Age 12 10 12 11 12 11 10 11 10 12 11 11 11 11 12 12 12 12 10 12 12 11 12 11 18 16 18 18 18 17 16 17 17 18 18 17 17 17 18 18 18 18 16 17 18 17 18 17 2005 Euclid contest/Concours Euclid Canadian Honour Roll/Liste Canadienne des honneurs Group 2/Groupe 2 scores 91 - 87 Name/Nom CATHERINE ZHOU Group 3/Groupe 3 WILLIAM QING CHONG JIMMY STEVEN YINGFEN ALEXANDER OLEG ALLAN TONY SHA E LIYI AIDIN VAINATEY JACKY ALICE SHELDON CHENEN ANTON JEFFREY MIHAI ALLEN ETIENNE WENDY BILL DANIEL KAROL Location/Endroit Dr. Norman Bethune C.I. Toronto Grade/Niveau Age 10 16 scores 86 - 83 Name/Nom KATHY CARMEN MITCHELL HARRY RUI WILLIAM BO HONG DIMITRI DUOMING JAN MICHAEL School/Ecole School/Ecole AU BRUNI BUSHUK CHANG CHEN CHYR DENG DZIABENKO FAN FLORJANCZYK FU Earl Haig S.S. Bishop Ryan School Glenlawn C.I. A.B. Lucas S.S. Albert Campbell C.I. Crescent School Jarvis C.I. Don Mills C.I. Vincent Massey S.S. Holy Trinity C.H.S. Upper Can Col-Upper School FU A.Y. Jackson S.S. GAO Hugh McRoberts S.S. GUO Agincourt C.I. HE Seaquam S.S. HUANG George S. Henry Academy HUANG The Woodlands S. IP Agincourt C.I. IVRII Don Mills C.I. JIANG Oakville Trafalgar H.S. JIANG David Thompson S.S. JIN York Mills C.I. JU Glebe Collegiate Institute KASHIGAR Sir Frederick Banting S.S. KULKARNI Iroquois Ridge H.S. LAU Pierre Elliott Trudeau H.S. LI Vincent Massey S.S. LI Langstaff S.S. LIANG Waterloo C.I. LIKHTAROV Burnaby North S.S. MO William Aberhart H.S. NICA Waterloo C.I. OHARA Oakridge S.S. OTOOLE Port Moody S.S.S. PAN A.Y. Jackson S.S. PANG University Hill S.S. PRINS Salisbury Comp. H.S. PRZYBYTKOW Marianopolis College SKI Location/Endroit Grade/Niveau Age North York Hamilton Winnipeg London Scarborough Toronto Toronto Don Mills Windsor Kanata Toronto 12 12 12 10 12 12 11 9 12 12 12 18 18 18 16 18 18 17 15 18 18 18 North York Richmond Scarborough North Delta North York Mississauga Scarborough Don Mills Oakville Vancouver North York Ottawa London Oakville Markham Windsor Richmond Hill Waterloo Burnaby Calgary Waterloo London Port Moody North York Vancouver Sherwood Park Montreal 11 12 12 9 11 12 12 12 10 12 12 12 12 12 12 12 12 12 12 10 10 11 12 12 9 12 13 16 18 19 15 17 18 18 18 16 18 19 16 18 17 18 18 19 18 19 16 16 17 18 18 15 17 19 Downloaded From: 2005 Euclid contest/Concours Euclid Canadian Honour Roll/Liste Canadienne des honneurs Group 3/Groupe 3 scores 86 - 83 Name/Nom SHINAN CHAO WAEL MATTHEW OREST DANNY DIFU SHI THOMAS TOM KUAN CHIEH TONY CHANG ZHUO DAJIANG XIAODI JACK QI DANIEL KEN DA KAREN QIJIN JUSTIN QI QU RAMMO RIDEOUT SHARDT SHI SHI SHUAI TANG TANG TSENG WAN WANG WANG WEI WU YANG YAO YE ZHANG ZHOU ZHOU ZHOU ZHU Group 4/Groupe 4 CHARLES PETER NATHAN LAWRENCE WALTER BRIAN JAMES MO RICK TONY YINGTING MITCHELL ALTSHULLER ANH QUYNH THI AU BAI BURNS BYERLEY CHAN CHEN CHEN CHEN CHEN CHEN CHENG CHEONG Location/Endroit Grade/Niveau Age Waterloo C.I. Dr. Norman Bethune C.I. Vincent Massey S.S. Charles P. Allen H.S. Louis St. Laurent H.S. Windermere S.S. Glebe Collegiate Institute Vincent Massey S.S. A.Y. Jackson S.S. Burnaby Central S.S. Yale S.S. Stephen Leacock C.I. Harbord C.I. Earl Haig S.S. Oakwood C.I. University of Toronto Schools University Hill S.S. Glenforest S.S. Fredericton H.S. Western Canada H.S. Templeton S.S. Glebe Collegiate Institute Burnaby North S.S. Albert Campbell C.I. Waterloo Toronto Windsor Bedford Edmonton Vancouver Ottawa Windsor North York Burnaby Abbotsford Scarborough Toronto North York Toronto Toronto 12 12 12 12 11 9 12 11 11 12 12 10 12 12 12 12 18 17 18 18 17 14 19 17 18 18 17 16 19 19 18 17 Vancouver Mississauga Fredericton Calgary Vancouver Ottawa Burnaby Scarborough 12 12 11 12 12 12 12 12 18 18 17 18 19 18 18 18 scores 82 - 79 Name/Nom ALEXEY VU School/Ecole School/Ecole Location/Endroit St. Andrew's College Vancouver Tech. S.S. Aurora Vancouver 12 12 19 19 J.N. Burnett S.S. Burnaby South S.S. Lester B. Pearson C.H.S. Northview Heights S.S. Upper Can Col-Upper School Ashbury College St. George's School Windermere S.S. Dr. Norman Bethune C.I. Seaquam S.S. York Mills C.I. Mount Douglas S.S. Richmond Burnaby Gloucester North York Toronto 11 11 12 12 12 17 17 18 18 18 Ottawa Vancouver Vancouver Toronto North Delta North York Victoria 11 0 11 11 12 12 12 17 16 17 17 18 18 17 Downloaded From: Grade/Niveau Age 2005 Euclid contest/Concours Euclid Canadian Honour Roll/Liste Canadienne des honneurs Group 4/Groupe 4 Name/Nom DESMOND EUNAE ALEC JEROEN AUDY SEAN MICHAEL SHIRA RONGTAO YE ZHI BRIAN BOWEN WILLIAM JOYCE DEEP TED MARK ALVIN YORK GARY SOHEIL YA CHUN KEN XIU STEVEN ELGIZ AUDREY PANURUJ PAVLO BENJAMIN ALEXIS DAVID KEVIN MARCUS ERIC PING SHING JUN YOUNG JONATHAN scores 82 - 79 School/Ecole CHEUNG CHO CHOW CHUA CHUANG CRUISE DAI DALTROP DAN FENG J.N. Burnett S.S. Port Credit S.S. Earl Haig S.S. Francis Libermann C.H.S. Semiahmoo S.S. Vincent Massey S.S. Earl Haig S.S. Kitsilano S.S. (English) Point Grey S.S. Main Street Education Center FOSTER Mount Douglas S.S. GAO Port Moody S.S.S. GORNALL Seycove S.S. GU Waterloo C.I. GUHA University of Toronto Schools HE RMAN Northern S.S. HIGGINS Ashbury College HO The Woodlands S. HUA Riverdale C.I. HUANG Sir Winston Churchill H. S. JAMSHIDI Barton S.S. JAN Iroquois Ridge H.S. JIANG Mount Douglas S.S. JIN Killarney S.S. KARP Lord Byng S.S. KENZIN Scarlett Heights Ent. Academy KERTESZ Henry Wise Wood S.H.S KHAMBANOND Oak Bay J.S.S. A KLUNKO Lakeshore C.I. KWAN Vincent Massey S.S. LAM St. John's-Ravenscourt School LAM Brebeuf College School LAM St. John's-Ravenscourt School LAM Unionville H.S. LAU Unionville H.S. LAU West Point Grey Academy LEE St. Andrew's College LERNER Sir Robert Borden H.S. Location/Endroit Grade/Niveau Age Richmond Mississauga North York Scarborough Surrey Windsor North York Vancouver Vancouver Vancouver 12 12 12 12 12 10 11 12 12 12 19 17 18 18 18 16 17 18 18 19 Victoria Port Moody North Vancouver Waterloo Toronto 12 12 12 12 12 18 18 17 18 18 Toronto Ottawa Mississauga Toronto Calgary Hamilton Oakville Victoria Vancouver Vancouver Etobicoke 12 12 12 11 11 12 12 12 12 10 12 18 18 17 17 17 18 18 18 19 16 18 Calgary Victoria 12 12 18 18 Etobicoke Windsor Winnipeg 12 12 11 17 18 17 Willowdale Winnipeg 12 12 18 18 Markham Markham Vancouver Aurora Nepean 12 12 12 11 12 18 18 18 19 18 Downloaded From: 2005 Euclid contest/Concours Euclid Canadian Honour Roll/Liste Canadienne des honneurs Group 4/Groupe 4 scores 82 - 79 Name/Nom KANGCHENG SHA SCOTT SHANSHAN LI LIANG LIN LIU ZEQUN ANTON FANG JIE JENNIFER LIU LOPYREV LU LU LUONG JENNIFER MA RICHARD MA KAVEH MALEKANIAN BRYAN MANUEL HOLLY MAO MIKE MCDONALD NICK MURDOCH ALIAKSANDR MURZIONAK ADITYA NATARAJAN BRAD ATHENA ERIC SONG BRIAN YONGHO DUOLI CRAIG DAT XIAO JACKY LOHEETHA RAN TIMUR WESLEY JONATHAN NEILSON NGUYEN OREILLY PANG PARK PARK PENG PETERS PHAN QIAO QIU RAGUPATHI RAN RVACHOV SACHER SCHNEIDER KA VLADIMIR JACK YUANHANG BRIAN JULIE SHEN SOUKHAREV SUN SUN TANG TANG School/Ecole Location/Endroit York Mills C.I. Vincent Massey S.S. Moscrop Secondary School Ross Sheppard Comp. H.S. A.Y. Jackson S.S. Richmond Hill H.S. Glebe Collegiate Institute Nepean H. S. University of Toronto Schools Ridley College Vincent Massey S.S. Crescent School Cedarbrae C.I. Vincent Massey S.S. Waterloo C.I. London Central S.S. Notre Dame H.S. William Lyon Mackenzie C.I. Wellington S.S. Kelvin High School Bishop Ryan School Western Canada H.S. Martingrove C.I. Richmond Hill H.S. St. George's School South Delta S.S. Balfour C.I. Vincent Massey S.S. A.Y. Jackson S.S. Woburn Collegiate Institute Jarvis C.I. Vincent Massey S.S. Mississauga Private School University of Toronto Schools Walter Murray C.I. Pushkin Private School A.Y. Jackson S.S. Vincent Massey S.S. York Mills C.I. Albert Campbell C.I. North York Windsor Burnaby Edmonton 12 12 11 12 18 18 17 18 North York Richmond Hill Ottawa Ottawa Toronto 12 12 11 11 11 18 19 17 17 17 St Catharines Windsor Toronto Scarborough Windsor Waterloo London Ottawa North York 12 11 12 12 12 11 12 12 12 18 17 18 18 18 16 18 19 18 Nanaimo Winnipeg Hamilton Calgary Etobicoke Richmond Hill Vancouver Delta Regina Windsor North York Scarborough Toronto Windsor Etobicoke Toronto 12 12 12 11 13 11 10 12 12 10 12 12 12 11 12 9 17 18 18 18 19 17 17 18 18 16 18 18 18 17 18 13 Saskatoon Thornhill North York Windsor North York Scarborough 12 12 12 12 12 12 18 19 18 18 18 18 Downloaded From: Grade/Niveau Age 2005 Euclid contest/Concours Euclid Canadian Honour Roll/Liste Canadienne des honneurs Group 4/Groupe 4 scores 82 - 79 Name/Nom RAYMOND XIAO BRETT TIAN LEMUEL DEVIN BRADLEY CUNZHI JENNY YINAN ALEX BRYAN JASON BOBBY YI FENG YILUN KELVIN BRIAN CHASE ASIF PEIZI RAN SHIYAO PENG ZHAOYUAN ZHANG RYA N YUXIANG School/Ecole TANG Richmond Hill H.S. TANG Columbia Int'l College TEEPLE Western Canada H.S. TIAN Harbord C.I. TONG Unionville H.S. TRUDEAU Dover Bay S.S. VANDERSTAR Dunbarton H.S. REN WANG Merivale H.S. WANG Don Mills C.I. WANG London Central S.S. WICE Leaside H.S. WILKINSON Earl of March S.S. WONG London South S. S. XIAO Walter Murray C.I. YAN Burnaby North S.S. YANG Bayview Secondary School YEUNG Albert Campbell C.I. YU Old Scona Academic H.S. YUE A.B. Lucas S.S. ZAMAN Port Moody S.S.S. ZHANG Burnaby North S.S. ZHANG Western Canada H.S. ZHANG Jarvis C.I. ZHAO O'Neill C.V.I. ZHENG Jarvis C.I. ZHIZHENG Sandwich S.S. ZHOU Adam Scott C.V.I. ZHOU Richmond Hill H.S. Group 5/Groupe 5 MARK YANSHUAI Grade/Niveau Age Richmond Hill Hamilton Calgary Toronto Markham Nanaimo Pickering 12 12 12 12 12 11 12 18 19 18 17 18 17 18 Ottawa Don Mills London East York Kanata London Saskatoon Burnaby Richmond Hill Scarborough Edmonton London Port Moody Burnaby Calgary Toronto Oshawa Toronto Lasalle Peterborough Richmond Hill 12 12 12 11 12 12 10 11 12 12 11 12 11 12 12 11 12 12 11 11 12 18 18 19 17 18 18 16 18 18 18 19 19 17 18 18 17 18 19 16 17 19 scores 78 - 76 Name/Nom ANDRA ORTAN JENNIFER TIGRAN GILAD NATALIE PETER KAUSHIKI EMMA Location/Endroit ADAMS ALEXANDRA AN ATOYAN BEN SHACH BERFELD BERGSTRA BHOWMICK BRITTAIN BOISV BUMAGIN CAO School/Ecole Location/Endroit Gloucester H.S. Vanier College Newtonbrook S. S. Marianopolis College Marianopolis College Sir Robert Borden H.S. West Hill S.S. Silverthorn C.I. Heritage College Gloucester St Laurent North York Montreal Montreal Nepean Owen Sound Etobicoke Hull 12 13 12 0 12 12 12 12 13 17 19 18 18 17 18 18 18 19 Lisgar C.I. Marianopolis College Ottawa Montreal 11 12 17 18 Downloaded From: Grade/Niveau Age 2005 Euclid contest/Concours Euclid Canadian Honour Roll/Liste Canadienne des honneurs Group 5/Groupe 5 scores 78 - 76 Name/Nom EMILY VINCENT DAVIS KANG SI ALFONSO CHAN CHAN CHEN CHEN CHEN CHENG CALVIN SU HYUK CHENG CHI PETER ALEXANDRA ANTHONY CHOI CHOULDECHO VA CHOW ERIC PHILIP JOSEPH YANG LISA JEONGKYU FARZAD MOSTAFA DAN GRAHAM DEVON AMY PETE CHOY CHRAPKA COLLINS DU EUM FARZAN FATEHI FERGUSON FRASER GALLOWAY GAO GEORGAS JULIE JING GU GUO SOHYOUNG DUNCAN LAURA DENNIS JIYOUNG JUNG WON HER HO HOROSKO HSIUNG HWANG HWANG ALEX JONATHAN ASHU INAYEH IU JAIN NIKHIL JAIN School/Ecole Location/Endroit Pinetree S.S. John Diefenbaker H.S. Forest Heights C.I. University Hill S.S. Winston Churchill C.I. Upper Can Col-Upper School Eric Hamber S.S. St. Francis Xavier Secondary S Port Moody S.S.S. Thornhill S.S. Coquitlam Calgary Kitchener Vancouver Toronto Toronto 11 12 11 12 12 10 17 18 17 19 19 16 Vancouver Mississauga 12 12 18 18 Port Moody Thornhill 10 12 16 17 Markham 12 18 Burnaby Hamilton Woodstock North York Thornhill Richmond Hill Charlottetown Calgary Nepean Elmira Woodbridge Toronto 12 12 11 12 12 12 12 12 12 12 12 11 18 18 17 18 19 18 18 18 18 18 18 17 Scarborough Toronto 12 12 19 18 Thornhill Coquitlam Winnipeg North Delta Abbotsford Markham 12 12 12 12 10 12 18 18 18 18 16 18 Stittsville Shawnigan Lake Toronto 12 12 11 18 18 17 Langley 12 18 Brother Andre Catholic H.S. Burnaby South S.S. Westdale S.S. Huron Park S.S. A.Y. Jackson S.S. Thornlea S.S. Alexander Mackenzie H.S. Colonel Gray S.H.S Western Canada H.S. Sir Robert Borden H.S. Elmira D.S.S. Woodbridge College University of Toronto Schools Albert Campbell C.I. Toronto College of Technology Vaughan S.S. Pinetree S.S. St. Mary's Academy Seaquam S.S. Yale S.S. Fthr Michael McGivney CHS Sacred Heart H.S. Shawnigan Lake School University of Toronto Schools Walnut Grove S.S. Downloaded From: Grade/Niveau Age 2005 Euclid contest/Concours Euclid Canadian Honour Roll/Liste Canadienne des honneurs Group 5/Groupe 5 scores 78 - 76 Name/Nom KANISHKA JIAYANG KWONYONG JAYAWARDEN E JIANG JIN MICKI CHRISTINE JIN JOANNOU SHU UMAR PANTEA ALLAN WANKI MIKE BEN EKATERINA RICKY JEFF DONALD GEORGE KAN KHAN KHODAMI KIELSTRA KIM KLASSEN KRAUSE KRYUKOVA LAI LANE LAU LAU CHAU HENRY JISOO ROBERT AMANDA WILLA EVERETT QILU YE QING DANIEL ANDY BIN LUCY STUART ARTEM SCOTT LINGWEI GEORGE QIUXIAO YUCHEN LE NGOC LEE LEE LEGASSICKE LI LIAO LIN LIN LIN LISTER LIU LIU LIU LOCKE LOPYREV MCMURRAY MENG MISSIOS MO MU CHRIS VOVA MURPHY NAOUMOV School/Ecole Location/Endroit James Fowler H.S. Calgary 12 18 A.Y. Jackson S.S. St. Michael's College School Earl Haig S.S. University of Toronto Schools Harry Ainlay H.S. Vincent Massey S.S. West Vancouver S.S. Pickering H.S. Sir Winston Churchill S.S. Stratford Central S.S. St. George's School Pushkin Private School Markham D.H.S. West Vancouver S.S. York Mills C.I. Peoples Christian Academy Vanier College Marianopolis College Gleneagle S.S. Dover Bay S.S. Burnaby North S.S. T.A. Blakelock H.S. St. George's School Columbia Int'l College Earl of March S.S. Jarvis C.I. Sir Winston Churchill H. S. Sir Winston Churchill S.S. University Hill S.S. Northern S.S. Richmond Hill H.S. Marianopolis College York Mills C.I. Dr. Norman Bethune C.I. A.Y. Jackson S.S. St. John's-Ravenscourt School Millwood H. S. Northview Heights S.S. North York Toronto 10 9 16 14 North York Toronto 12 11 18 17 Edmonton Windsor West Vancouver Ajax Vancouver Stratford Vancouver Thornhill Markham West Vancouver North York Willowdale 11 12 12 12 11 12 11 12 12 12 12 12 17 19 18 18 18 18 17 18 18 18 18 18 St Laurent Montreal Coquitlam Nanaimo Burnaby Oakville Vancouver Hamilton Kanata Toronto Calgary Vancouver Vancouver Toronto Richmond Hill Montreal North York Toronto North York Winnipeg 12 13 12 12 11 12 12 12 12 12 12 11 11 12 12 13 11 12 12 11 18 19 18 16 17 18 18 19 18 18 18 19 17 18 19 19 18 18 18 17 Lower Sackville North York 12 12 18 18 Downloaded From: Grade/Niveau Age 2005 Euclid contest/Concours Euclid Canadian Honour Roll/Liste Canadienne des honneurs Group 5/Groupe 5 scores 78 - 76 Name/Nom ELDON NG PATRICK KAI MIKHAIL KYEL JAMIE NG NI NIKASHOV OK ORFALD CLARKE YEJE PARK JOANNA PATTERSON CHUANMING QI YUAN QI DI QIU CHEN QU RISHI RAJALINGHAM NICHOLAS ROCHE SAHINAZ SAFARI SANJANI ELLIOTT SALESDEAND RADE BEN SCHMIDT ANDY SHEUNG SALLY SHI HYUNJIN SHIN JISOO SUMIT GEOFFREY TIERNEY DAVID DANTONG JARED ADA KIRILL LYNN ANDREW CHONG DEREK DANNY CHRIS TIM ALEXANDRE GREG SHIN SIKDER SIU SMITH SOHN SONG STANG STEFANESCU STEPANCHUK STERLING STEWART SU SUE CHUE LAM SUH TANG TANG TOMBERG TSANG School/Ecole Location/Endroit University of Toronto Schools Woburn Collegiate Institute Lloydminster Comp. H.S. Pushkin Private School Earl Haig S.S. Lisgar C.I. Toronto 11 16 Scarborough Lloydminster Thornhill North York Ottawa 12 12 10 11 12 18 19 16 17 18 Nancy Campbell C.I Holy Trinity School Jarvis C.I. London Central S.S. Monarch Park CI Columbia Int'l College Marianopolis College Crescent School Waterloo C.I. London Richmond Hill Toronto London Toronto Hamilton Montreal Toronto Waterloo 12 12 12 12 12 12 12 12 12 19 18 18 18 19 19 18 18 18 St. Michael's College School Centre Wellington D.H.S. Unionville H.S. Dr. Norman Bethune C.I. St. John's-Ravenscourt School Sutherland S.S. Cedarbrae C.I. London Central S.S. Branksome Hall School Moscrop Secondary School Albert Campbell C.I. Strathmore H.S. Marianopolis College Waterloo C.I. Pickering H.S. Glovertown Academy Waterloo C.I. Bayside S. S. Toronto 12 18 Fergus Markham Toronto Winnipeg 12 12 12 12 17 18 18 18 North Vancouver Scarborough London Toronto Burnaby Scarborough Strathmore Montreal Waterloo Ajax Glovertown Waterloo Belleville 12 12 12 12 12 11 12 13 12 12 12 11 12 18 17 17 19 18 17 18 18 18 17 18 17 17 Barrie North C.I. York Memorial C. I. Kitsilano S.S. (English) College De Montreal Crescent School Barrie Toronto Vancouver Montreal Toronto 11 12 12 11 10 17 18 17 18 16 Downloaded From: Grade/Niveau Age 2005 Euclid contest/Concours Euclid Canadian Honour Roll/Liste Canadienne des honneurs Group 5/Groupe 5 Name/Nom CLARENCE JEAFF KEVIN XIAOLIN ADAM PETER FRANCES AARON CHRIS IVAN JASON JOSHUA TSO WANG WANG WANG WARD WEINKAM WEN WONG WONG WONG WONG WONG KEITH SZE YIN YVETTE WONG WONG WONG LEI SZU KUAN ZHIYUAN HAN WENXIN RUI CHENG JIM KAI NING RUOBING RANI WU WU WU XU XU XUE YANG YANG YANG YANG YANG YEUNG SAMUEL JAMES ALAN BOYANG CHENCHEN LINDA LIXIN YIN YING YEW YI YIP ZHANG ZHANG ZHANG ZHANG ZHANG SAMUEL ZHAO ALICE BEI ZHU ZHU scores 78 - 76 School/Ecole Location/Endroit Upper Can Col-Upper School Richmond S.S. Richmond S.S. University Hill S.S. L.V. Rogers S.S. Centennial S.S.S. Albert Campbell C.I. The Woodlands S. Matthew McNair S.S. Unionville H.S. Earl Haig S.S. St. Francis Xavier Secondary S H.J. Cambie S.S. London South S. S. University of Toronto Schools Vincent Massey S.S. Western Canada H.S. Vincent Massey S.S. Merivale H.S. Don Mills C.I. Martingrove C.I. Sir John A. Macdonald C.I. Westdale S.S. Dr. Norman Bethune C.I. Lethbridge C.I. Point Grey S.S. University of Toronto Schools Rutland S.S.S. Merivale H.S. Northern S.S. The Woodlands S. Lisgar C.I. Sir Robert Borden H.S. Jasper Place School St. Michael's College School Enver Creek Secondary School J.N. Burnett S.S. Earl Haig S.S. Toronto 11 17 Richmond Richmond Vancouver Nelson Coquitlam Scarborough Mississauga Richmond Markham North York Mississauga 11 12 11 12 12 12 12 12 12 12 12 17 18 18 17 18 18 18 18 18 18 18 Richmond London Toronto 12 12 11 18 17 17 Windsor Calgary Windsor Ottawa Don Mills Etobicoke Agincourt Hamilton Toronto Lethbridge Vancouver Toronto 11 12 11 12 12 12 11 12 12 12 12 12 17 18 17 18 18 19 17 19 18 18 18 18 Kelowna Ottawa Toronto Mississauga Ottawa Nepean Edmonton Toronto 11 12 12 11 11 12 12 12 17 18 18 18 16 18 19 18 Surrey 11 17 Richmond North York 12 11 19 17 Downloaded From: Grade/Niveau Age International/Unofficial Results Résultats internationaux/non-officiels INTERNATIONAL TEAMS / ÉQUIPES INTERNATIONAUX 1 Beijing Office Yeh Global Mgt Beijing China 2 ICAE Troy MI 3 Taylor’s College Selangor Malaysia 4 Shanghai American School Shanghai China 5 Inter. School of Choueifat Abu Dhabi United Arab Emirates 5 Karachi Grammar School Karachi Pakistan 7 Chinese Inter. School Braemar Hill Hong Kong 7 Naparima College San Fernando Trinidad 7 Concord College of Sino-Canada Nashan District China 10 Presentation College San Fernando Trinidad 11 Queen Elizabeth College Rose Hill Mauritius 12 Saint Patrick’s High School Karachi Pakistan 13 Hillview College Tunapuna Trinidad 14 King George V School Kowloon Hong Kong 15 Sunway University College Selangor Malaysia UNOFFICIAL STUDENTS / ÉLÈVES NON-OFFICIEL Name/Nom GROUP I / GROUPE I School/École SCORES / NOTES Location/Endroit 92 - 99 JIAN YUE HEATHER CHAITANYA YINGHUI XIAO HENG MINYI HUANG LI MACBETH MALLA PEI WANG YANG Beijing Office Yeh Global Mgt Beijing, China Kitchener, ON Christchurch, New Zealand Troy, MI Beijing, China Beijing, China Singapore, Singapore GROUP II / GROUPE II SCORES / NOTES 87 - 91 ALIN CANG HAI WILLIAM YU MIN CHI SHING KAI RAGHAV YUN SEUNG EVAN YI YUK SIN ALEX MENGQI IACOB JI JOO LI LI LIU MALIK NAM STRATFORD SU WONG XU ZHANG Colegiul National C. Negruzzi Imperial College Of Toronto L.V. Rogers S.S. Beijing Office Yeh Global Mgt Jacob Hespeler S.S. The Woodlands School Neuchatel Jr. College Beijing Office Yeh Global Mgt Evan Hardy C.I. ICAE London Int’l Academy Iasi, Romania Etobicoke, ON Nelson, BC Beijing, China Cambridge, ON Shanghai, China New Delhi, India Mississauga, ON Neuchatel, Switzerland Beijing, China Saskatoon, SK Troy, MI London, ON GROUP III / GROUPE III SCORES / NOTES 83 - 86 VIVEK ZI YUAN XI AVET JIA VINCENT CHUN MEI ZIUMENG GLORIA BEHERA CAI CHEN GRIGOR YAN JI JIANG LI LIU LONG ICAE Beijing Office Yeh Global Mgt Troy, MI Beijing, China Guangzhou, China Etobicoke, ON Toronto, ON Scarborough, ON Langley, BC Beijing, China Xi’An - Shaanxi, China Burnside H. S. ICAE Beijing Office Yeh Global Mgt Cambridge Int’l Coll of Canada Stephen Leacock C.I. Langley S.S. Beijing Office Yeh Global Mgt Downloaded From: International/Unofficial Results Résultats internationaux/non-officiels Name/Nom ZHOU CLARE KAI MI A ARUN M ASHOK YAOWEI TIFFANY SHUYUN CHAO CAN CELIA WEICHAO LYDIA ZENG MAX PARK RAMNATH SUN THILLAISUNDAR THILLAISUNDARA WANG WOO WU YU ZHANG ZHAO ZHAO ZHOU ZHUJUN GROUP IV / JOANNA ALINA JING ZHENGFEI EUNAE CHISLON SURRIN ANEESHA SHAWN PENGBO WONG MAITHILEE HYEONSU AMRIK KEOK VOON CHUNG QING XIAO XIAO YUMING WANG KENT SHUO SWEE KING HENNING SUDEESH TAISIJA ATHER MING FOONG ARUN BILL LOKSANG PEIXUAN CHI HO LEI MAHVASH JUN YU FAN XUN JIESI School/École L’Amoreaux C.I. St. Theresa of Lisieux C.H.S. Naparima College Lester Pearson College Taylor’s College Taylor’s College Bond Int’l College Chinese Inter. School Nancy Campbell C.I Central Commerce C.I. Don Mills C.I. Sunway University College Leaside H.S. Lester Pearson College Location/Endroit Agincourt, ON Richmond Hill, ON San Fernando, Trinidad Victoria, BC Selangor, Malaysia Selangor, Malaysia Toronto, ON Braemar Hill, Hong Kong London, ON Toronto, ON Vancouver, BC Don Mills, ON Selangor, Malaysia East York, ON Victoria, BC GROUPE IV SCORES / NOTES 80 - 82 ABOUSLEIMAN CHAN CHEN CHEN CHO CHOW DEEN DESHPANDE EASTWOOD FU HENOCH JUVEKAR KIM KOCHHAR LE HONG LEE LI LI LI LIAO LUI PAN PHANG POETTKER RAJARAM SANTARE SHEKHANI SOONG SUVENDRARAJAH TONG WONG YE YOON YU ZAFAR AHMED ZE NG ZENG ZHANG Int’l School of Choueifat Bodwell H.S. Abu Dhabi, United Arab Emirates North Vancouver, BC Toronto, ON Toronto, ON Toronto, ON Markham, ON San Fernando, Trinidad Mumbai, India Singapore, Singapore Hamilton, ON Kowloon, Hong Kong Mumbai, India Seoul, South Korea Tunapuna, Trinidad Selangor, Malaysia Selangor, Malaysia Breslau, ON Beijing, China Toronto, ON Nanning, China Newmarket, ON Nashan District, China Selangor, Malaysia Mississauga, ON Beau-Bassin, Mauritius Riga, Latvia Karachi, Pakistan Selangor, Malaysia Etobicoke, ON Kitchener, ON Braemar Hill, Hong Kong Toronto, ON Shanghai, China London, ON Riyadh, Saudi Arabia Maple Ridge, BC Beijing, China Winnipeg, MB Unionville H.S. Presentation College Canadian Int’l School Columbia Int’l College King George V School Hillview College Taylor’s College Taylor’s College St. John’s Kilmarnock School Beijing Office Yeh Global Mgt Taie Inter. Institute Pickering College Concord College of Sino-Canada Taylor’s College Mentor College Riga S.S. No. 40 Karachi Grammar School Taylor’s College North Albion C.I. Kitchener-Waterloo C.V.I. Chinese Inter. School Shanghai American School Nancy Campbell C.I Maple Ridge S.S. Beijing Office Yeh Global Mgt Kelvin High School Downloaded From: International/Unofficial Results Name/Nom YISE YUSONG QIAOZHI RUBEN YUHAO ZHANG MINGJUE ZHANG ZHANG ZHAO ZHAO ZHAO ZHONGBIN ZHOU Résultats internationaux/non-officiels School/École Simcoe Comp. School Boren Sino-Canadian School Columbia Int’l College Shanghai American School Central Commerce C.I. London Int’l Academy Downloaded From: Location/Endroit Simcoe, ON Guangdong, China Hamilton, ON Shanghai, China Toronto, ON Guangzhou, China London, ON