The CENTRE for EDUCATION in MATHEMATICS and COMPUTING ´ Le CENTRE d’EDUCATION ´ en MATHEMATIQUES et en INFORMATIQUE www.cemc.uwaterloo.ca

2017 Results Euclid Contest

2017 R´ esultats Concours Euclide

c

2017 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’´ education en math´ ematiques et informatique Ed Anderson Jeff Anderson Terry Bae Jacquelene Bailey Shane Bauman Carmen Bruni Ersal Cahit Serge D’Alessio Janine Dietrich Jennifer Doucet Fiona Dunbar Mike Eden Barry Ferguson Judy Fox Steve Furino Rob Gleeson John Galbraith Alain Gamache Robert Garbary

Sandy Graham Conrad Hewitt Angie Hildebrand Carrie Knoll Judith Koeller Bev Marshman Mike Miniou Brian Moffat Dean Murray Jen Nelson J.P. Pretti Kim Schnarr Carolyn Sedore Kevin Shonk Ian VanderBurgh Troy Vasiga Christine Vender Heather Vo Ashley Webster

Problems Committee / Comit´ e des probl` emes Fiona Dunbar (Chair / pr´esidente), University of Waterloo, Waterloo, ON Mike Aben, Lakefield College School, Lakefield, ON Kathir Brabaharan, Scarborough, ON Adam Brown, University of Toronto Schools, Toronto, ON Steve Brown, University of Waterloo, Waterloo, ON Serge D’Alessio, University of Waterloo, Waterloo, ON Charlotte Danard, Toronto, ON Garry Kiziak, Burlington, ON Darren Luoma, Bear Creek S.S., Barrie, ON Alex Pintilie, Crescent School, Toronto, ON David Pritchard, Los Angeles, CA Peter Wood, University of Waterloo, Waterloo, ON

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Comments on the Paper

Commentaires sur les ´ epreuves

Overall Comments Congratulations to all of the participants in the 2017 Euclid Contest. The average score in 2017 was 51.0. We were very pleased that almost all students achieved some success on the early parts of the paper. At the same time, the later parts of these problems managed to challenge the top students even more than last year’s problems. Special congratulations go to the 52 official contestants who achieved scores of 90 and higher this year. We at the Centre for Education in Mathematics and Computing believe strongly that it is very important for students to both learn to solve mathematics problems and learn to write good solutions to these problems. Many students do a reasonable job of writing solutions, while others still include no explanation whatsoever. Special thanks go to the Euclid Committee that annually sets the Contest problems and manages to achieve a very difficult balancing act of providing both accessible and challenging problems on the same paper. 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: 9.2 This question was very well done. A common error in part (c) was an incorrect conversion of the 600 Euros back into dollars. 2. Average: 8.9 This question was very well done. 3. Average: 7.8 Part (a) was done well. Part (b) was fairly well done. An elegant solution written by a few students involves the separation of the three rectangles to get a total perimeter of 63 cm. The students then observed that, since RS is one rectangle length, it covers 2 lengths of perimeter. Similarly W V is one rectangle width, and so it covers 2 widths of perimeter. Thus, the total perimeter is 63 cm − 21 cm = 42 cm. Part (c) was fairly well done. Some students incorrectly drew the wrong pyramid or prism, instead of a rectangular prism. 4. Average: 6.5 Part (a) was fairly well done. Often, we saw careless errors made when the value of k was being determined. Part (b) was well done. A variety of good solutions were written. Using trial and error to get the possible values of the fifth term did not receive full marks. 5. Average: 6.1 Part (a) was fairly well done. Some students were able to find the years of birth but could not go further. Students presented many different correct solutions to part (b). Some students did not recognize that there were four possible solutions and instead gave only some of the possible values of k. 6. Average: 5.0 Part (a) was fairly well done. Many students dropped perpendiculars and were able to find distances to the horizontal from A and B. In part (b), students were able, for the most part, to convert the given equation to one involving only one trigonometric function. Many students failed to eliminate the inadmissible answer. Some students solved for the angle, which was unnecessary. 7. Average: 4.0 Part (a) was quite hard to get a handle on and was not done well. Drawing a diagram showing the relative 3

Comments on the Paper

Commentaires sur les ´ epreuves

positions of the car and the trains at various points in time was a good first step. In part (b), many students made errors in using properties of logarithms or in squaring both sides of the equation involving square roots. These errors made it very difficult to proceed. 8. Average: 1.9 Many different approaches were taken to solve part (a). Most correct solutions contained an extension of the diagram, but many just worked with the given picture. Every student that made good progress made use of at least one circle theorem (typically involving the two tangents to the circle). Markers were pleased to see nearly all such results appear on at least a few papers. In part (b), most students that were able to visualize the solid as a sum or difference of prisms and pyramids made some progress on this question. The most common approaches were to decompose the solid into a triangular prism (half of a cube) and a rectangular based pyramid, or to view the solid as a portion of a cube (extending to a cube and removing appropriate prisms and/or pyramids). The most common mistake in the first approach was calculating the height of the pyramid incorrectly. The most common mistake in the second approach was assuming that the point M lay on an edge of the cube (instead of in the middle of the top face). 9. Average: 1.2 Many students arrived at the correct answer for part (a). These students observed that, for some subset of the 24 permutations, the only possible sums were 2 and 4, with 4 appearing exactly twice as often as 2. The most common deduction of marks was for not explaining why the proportion that they observed also applied to the entire set of permutations. In part (b), many students noted that the answer to the question was the average of the numbers 1 through 7. While this is the correct answer, meaningful work was required to justify this fact. Most correct solutions involved either an argument of “pairing permutations and cancelling terms” or a probability and/or expected value argument. Many of the students that attempted to cancel terms either displayed an incorrect cancellation argument or failed to communicate their method. There were very few complete solutions to part (c). 10. Average: 0.4 While many students got full marks in part (a), the markers saw as many boring sets as exciting sets appearing here. Since it is possible to verify, with a few calculations, that a given set is not exciting, the number of incorrect answers here suggests that many students may have struggled with the definition of an exciting set. Most correct solutions to part (b) used a counting argument (counting the number of distinct sums in an exciting set and the possible range of such sums). A few students attempted a solution using mathematical induction but this problem did not lend itself to such an argument. There were very few complete solutions to part (c). Please visit our website at cemc.uwaterloo.ca to download the 2017 Euclid Contest, plus full solutions.

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Comments on the Paper

Commentaires sur les ´ epreuves

Commentaires G´ en´ eraux F´elicitations `a tous les participants du Concours Euclide 2017. La note moyenne ´etait 51,0. Nous avons eu le plaisir de constater que presque tous les ´el`eves ont eu du succ`es dans les premi`eres questions. De plus, les derni`eres parties de ces probl`emes pr´esentaient un plus grand d´efi pour les meilleurs ´etudiants que l’ann´ee derni`ere. Des f´elicitations sp´eciales vont aux 52 concurrents officiaux qui ont atteint une note sup`erieure ou ´egale ` a 90 sur 100. Le Centre d’´education en math´ematiques et en informatique croit fortement qu’il est tr`es important pour les ´etudiant(e)s d’apprendre ` a r´esoudre des probl`emes de math´ematiques ainsi que d’apprendre `a ´ecrire de bonnes solutions `a ces probl`emes. Plusieurs ´etudiants d´eveloppent leurs solutions r´esonablement bien, tandis que d’autres n’inclus aucune explication avec leurs r´eponses. Un grand merci va au comit´e du concours Euclide qui rassemble annuellement les probl`emes du concours et r´eussit `a accomplir la tˆ ache difficile de concevoir des probl`emes accessibles et stimulants sur le mˆeme examen. Un grand merci aux ´etudiant(e)s qui ont ´ecrit, aux parents qui les ont soutenus et aux enseignant(e)s qui les ont aid´es pour votre participation continue et votre soutien. Nous esp´erons que vous avez appr´eci´e le concours et savour´e les d´efis qu’il a pr´esent´es. Nous esp´erons que les concours de math´ematiques continuent `a nourrir votre amour et int´erˆet pour les math´ematiques. Remarques particuli` eres 1. Moyenne: 9,2 Cette question a ´et´e tr`es bien r´eussie. Dans la partie (c), beaucoup d’´el`eves ont ´eprouv´e de la difficult´e ` a convertir 600 euros en dollars. 2. Moyenne: 8,9 Cette question a ´et´e tr`es bien r´eussie. 3. Moyenne: 7,8 La partie (a) a ´et´e bien r´eussie. La partie (b) a ´et´e assez bien r´eussie. Quelques ´el`eves ont pr´esent´e une solution ´el´egante dans laquelle ils ont s´epar´e les trois rectangles qui avaient un p´erim`etre total de 63 cm. Ensuite ils ont indiqu´e que puisque RS repr´esente la longueur d’un rectangle, il a ´et´e compt´e deux fois dans ce p´erim`etre total. De mˆeme, W V repr´esente la hauteur d’un rectangle et il a donc ´et´e compt´e deux fois dans le p´erim`etre total. Le p´erim`etre de la figure est donc ´egal `a 63 cm − 21 cm, ou 42 cm. La partie (c) a ´et´e assez bien r´eussie. Certains ´el`eves ont trac´e une pyramide ou un prisme `a base triangulaire au lieu d’un prisme `a base rectangulaire. 4. Moyenne: 6,5 La partie (a) a ´et´e assez bien r´eussie. On a remarqu´e des erreurs d’inattention dans la d´etermination de la valeur de k. La partie (b) a ´et´e bien r´eussie. Les ´el`eves ont utilis´e une vari´et´e de bonnes approches. On n’a pas accord´e le maximum de points lorsqu’une approche par tˆatonnements a ´et´e utilis´ee pour d´eterminer les valeurs possibles du cinqui`eme terme. 5. Moyenne: 6,1 La partie (a) a ´et´e assez bien r´eussie. Certains ´el`eves ont d´etermin´e les ann´ees de naissance, sans continuer. Les ´el`eves ont utilis´e une vari´et´e de bonnes approches dans la partie (b). Certains ´el`eves n’ont pas reconnu qu’il y avait quatre r´eponses possibles et n’ont d´etermin´e qu’une partie des valeurs possibles de k. 6. Moyenne: 5,0 La partie (a) a ´et´e assez bien r´eussie. Bon nombre d’´el`eves ont abaiss´e des perpendiculaires `a partir de A et de B et d´etermin´e les distances ` a partir de ces points jusqu’`a la droite horizontale. De fa¸con g´en´erale, dans la partie (b), les ´el`eves ont r´eussi ` a transformer l’´equation donn´ee en une ´equation ne comportant qu’une

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Comments on the Paper

Commentaires sur les ´ epreuves

fonction trigonom´etrique. Certains ´el`eves n’ont pas ´elimin´e les cas inadmissibles. D’autres ont donn´e les valeurs des angles, ce qui n’´etait pas n´ecessaire. 7. Moyenne: 4,0 La partie (a) n’a pas ´et´e bien r´eussie, le probl`eme ´etant plutˆot difficile `a saisir. On peut partir du bon pied en tra¸cant un diagramme qui indique les positions relatives de la voiture et des trains `a divers moments. Dans la partie (b), bon nombre d’´el`eves ont commis des erreurs en utilisant les lois des logarithmes ou en ´elevant au carr´e les deux membres de la premi`ere ´equation, ce qui ne leur a pas permis de continuer. 8. Moyenne: 1,9 Plusieurs approches ont ´et´e utilis´ees dans la partie (a). La plupart des solutions correctes ont ont fait appel ` a un prolongement de la figure donn´ee, alors que d’autres ont utilis´e la figure telle quelle. Les ´el`eves qui ont fait du progr`es ont fait appel ` a au moins un th´eor`eme associ´e aux cercles (par exemple un th´eor`eme portant sur les tangentes au cercle). Dans la partie (b), la plupart des ´el`eves qui ont repr´esent´e le solide comme la somme ou la diff´erence d’un prisme et d’une pyramide ont pu progresser. Par exemple, on pouvait d´ecomposer le solide en un prisme ` a base triangulaire (la moiti´e d’un cube) et d’une pyramide `a base rectangulaire, ou imaginer une portion d’un cube (en prolongeant le solide pour en faire un cube) dont on a enlev´e des prismes ou des pyramides. L’erreur la plus fr´equente, dans la premi`ere approche, a ´et´e de mal calculer la hauteur de la pyramide. L’erreur la plus fr´equente dans la deuxi`eme approche a ´et´e de supposer que le point M ´etait situ´e sur une arˆete du cube (au lieu du centre de la face sup´erieure). 9. Moyenne: 1,2 Bon nombre d’´el`eves ont r´eussi la partie (a). Ces ´el`eves ont remarqu´e que pour une partie des 24 permutations, les seules sommes possibles ´etaient 2 et 4, et que la somme de 4 paraissait deux fois plus souvent que la somme de 2. Pour m´eriter le maximum de points, il fallait expliquer pourquoi ce rapport ´etait le mˆeme pour l’ensemble des permutations. Dans la partie (b), bon nombre d’´el`eves ont remarqu´e que la r´eponse ´etait la moyenne des entiers de 1 ` a 7. Or, il fallait justifier cette conclusion de fa¸con convaincante. La plupart des solutions correctes devaient faire appel ` a un appariement de permutations de mani`ere `a annuler des termes ou `a un argument bas´e sur la probabilit´e ou l’esp´erance math´ematique. Beaucoup d’´el`eves qui ont choisi la premi`ere approche ont mal annul´e les termes ou n’ont pas pr´esent´e un argument valable pour le faire. Peu d’´el`eves ont pr´esent´e une solution compl`ete dans la partie (c). 10. Moyenne: 0,4 Bon nombre d’´el`eves ont obtenu le maximum de points dans la partie (a), mais un nombre `a peu pr`es ´egal de r´eponses ont pr´esent´e un sous-ensemble ennuyant au lieu d’un sous-ensemble excitant, ce qui porte ` a croire que la d´efinition n’a pas ´et´e bien comprise. Dans la partie (b) la plupart des solutions correctes ont fait appel `a une technique de comptage (comptage du nombre de sommes distinctes dans un ensemble excitant et l’´etendue possible de ces sommes possibles). Quelques ´el`eves ont tent´e de r´epondre `a l’aide du raisonnement par r´ecurrence, mais cette approche ne se prˆetait pas `a ce probl`eme. Dans la partie (c), on a re¸cu tr`es peu de solutions compl`etes. Veuillez visiter notre site Web ` a cemc.uwaterloo.ca pour t´ el´ echarger le Concours Euclide 2017, avec solutions compl` etes.

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Champions – 2017

Champions – 2017

´ EVES ` STUDENTS / EL Students are listed in alphabetical order. / Les ´el`eves sont nomm´es en ordre alphabetique. Plaques

Thomas Guo Howard Halim Andrew Lin Kai Sun Rui ming Xiong Jason Yuen

University of Toronto Schools University Hill S.S. A.B. Lucas S.S. Western Canada H.S. Pierre Elliott Trudeau H.S.

North York, ON Toronto, ON Vancouver, BC London, ON Calgary, AB Markham, ON

Each plaque winner receives a $500 cash prize from the Centre for Education in Mathematics and Computing. / Chaque ´ el` eve qui rec ¸ois une plaque recevra aussi un prix de 500 $ du Centre d’´ education en math´ ematiques et en informatique.

Honourable Mentions / Mentions Honorables

Leo Feng Dichuan Gao Anna Krokhine George Mo Victor Rong Yingchao Shan David Tang Edgar Wang Yi Jie Wang Yue Weng William Zhao Daniel Zhou Sam Zhou

Vincent Massey S.S. Appleby College University of Toronto Schools Bayview S.S. Marc Garneau C.I. Richmond Hill H.S. University of Toronto Schools College Jean de Brebeuf The Woodlands Sec. School Unionville H.S. Richmond Hill H.S. Centennial Collegiate

Windsor, ON Oakville, ON Toronto, ON Richmond Hill, ON North York, ON Richmond Hill, ON Toronto, ON Montreal, QC Mississauga, ON Markham, ON Richmond Hill, ON Saskatoon, SK Vancouver, BC

Each student awarded an Honourable Mention receives a $200 cash prize from the Centre for Education in Mathematics and Computing. / Chaque ´ el` eve qui rec ¸ois une mention honorable recevra aussi un prix de 200 $ du Centre d’´ education en math´ ematiques et en informatique.

´ TEAMS / EQUIPES Champion / Premi`ere Second / Deuxi`eme Third / Troisi`eme Fourth / Quatri`eme Fifth / Cinqui`eme

University of Toronto Schools Western Canada H.S. Marc Garneau C.I. Pierre Elliott Trudeau H.S. Richmond Hill H.S.

Toronto, ON Calgary, AB North York, ON Markham, ON Richmond Hill, ON

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Enrollment

Inscription

Number of schools registered by province / Nombre d’´ ecoles inscrit par province AB BC MB NB NL NS ON PE QC SK International Total

54 187 27 22 19 21 757 3 22 18 484 1614

Number of students registered by province / Nombre d’´ etudiants inscrit par province AB BC MB NB NL NS ON PE QC SK International Total

514 2500 256 152 97 192 9661 33 266 158 7243 21072

Total number of students enrolled / Nombre d’inscriptions individuelles: 21072

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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 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

Classements des ´ el` eves

Rank/ Position

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 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

1 2 4 8 12 15 20 28 42 53 69 94 130 166 231 292 347 435 527 657 785 945 1117 1265 1447 1643 1859 2106 2342 2603 2895 3179 3487 3810 4115 4445 4744 5066 5405 5735 6109 6480 6808 7180 7572 7938 8285 8638 8980

Rank/ Position 9354 9713 10052 10409 10791 11155 11483 11799 12163 12469 12766 13076 13388 13702 13987 14291 14543 14794 15063 15306 15485 15688 15846 16030 16212 16371 16520 16632 16747 16845 16942 17025 17078 17136 17184 17232 17268 17298 17327 17346 17363 17378 17389 17394 17403 17405 17407 17410 17411 17412

N.B. These rankings pertain to eligible contestants only / N.B. Ces rangs se rapportent seulement aux concurrents admissibles

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2017 Euclid Contest/Concours Euclide Team Honour Roll/Palmarès d'équipes Rank/Rang School/École

City/Ville

Score/Note

1 2 3 4 5 6 7 8 9 10 10 12 13 14 14 16 17 17 17 17 21 22 23 23 25 25 27 28 28 30 30 32 32 34 34 34 34 38 38 38 41 41 41 41 45 45 47 47 47 47

Toronto Calgary North York Markham Richmond Hill Richmond Hill Windsor Vancouver Markham Oakville Scarborough Mississauga Gloucester London Waterloo North York Thornhill Vancouver Saskatoon North York North York Port Moody Montreal Markham North York Vancouver Burnaby Etobicoke Burnaby Markham Vancouver Guelph West Vancouver Scarborough Saskatoon West Vancouver Hamilton Richmond Hill Langley Toronto Surrey Guelph Scarborough Coquitlam Montreal Calgary North York Westmount Markham Thornhill

278 273 271 270 269 268 263 259 258 256 256 254 253 252 252 251 250 250 250 250 248 247 246 246 245 245 244 243 243 242 242 241 241 240 240 240 240 239 239 239 238 238 238 238 237 237 236 236 236 236

University of Toronto Schools Western Canada H.S. Marc Garneau C.I. Pierre Elliott Trudeau H.S. Richmond Hill H.S. Bayview S.S. Vincent Massey S.S. Lord Byng S.S. Unionville H.S. Appleby College Insight Academy of Canada The Woodlands Sec. School Colonel By S.S. A.B. Lucas S.S. Waterloo C.I. Victoria Park C.I. Thornhill S.S. University Hill S.S. Walter Murray C.I. William Lyon Mackenzie C.I. Royal Crown Academic School Port Moody Sr. S.S. College Jean de Brebeuf Markville S.S. Georges Vanier S.S. Sir Winston Churchill S.S. Burnaby South S.S. Bishop Allen Academy Moscrop S.S. Bur Oak S.S. St. George's School Centennial C. and V.I. Sentinel S.S. Albert Campbell C.I. Centennial Collegiate Mulgrave School Westdale S.S. Langstaff S.S. R.E. Mountain S.S. Toronto Central Academy Fraser Heights S.S. John F. Ross C.V.I. New Oriental Int'l College Pinetree S.S. Lower Canada College Sir Winston Churchill H.S. Earl Haig S.S. Marianopolis College Milliken Mills H.S. St. Robert C.H.S.

2017 Euclid Contest/Concours Euclide Student Honour Roll/Palmarès d'étudiants

Name/Nom

School/École

Group I/Groupe I

Scores/Notes 99 - 95

GUO HALIM LIN SUN XIONG YUEN

THOMAS HOWARD ANDREW KAI RUI MING JASON

Group II/Groupe II CHOW DU FENG GAO JIAO KANG KROKHINE MO RONG SHAN SUN TANG WANG WANG WEN WENG ZHAO ZHOU ZHOU

Grade/Niveau

North York Toronto Vancouver London Calgary Markham

9 10 11 11 12 12

Scarborough Richmond Hill Windsor Oakville Calgary Calgary Toronto Richmond Hill North York Richmond Hill North York Toronto Montreal Mississauga Saskatoon Markham Richmond Hill Saskatoon Vancouver

11 12 12 11 12 11 9 11 10 12 12 9 10 12 11 12 10 12 10

North York Mississauga Calgary Vancouver Richmond Hill Markham North York North York Calgary Vancouver Scarborough Vancouver North York Surrey Calgary Richmond Hill London Vancouver

11 12 11 11 12 11 11 12 12 11 12 11 11 11 12 11 12 11

Scores/Notes 94 - 90 STEVEN TINGDA LEO DICHUAN XINYU RICHARD ANNA GEORGE VICTOR YINGCHAO LINYIN DAVID EDGAR YI JIE YUNFEI YUE WILLIAM DANIEL SAM

Group III/Groupe III BAO CAI CHA CHEN CHEN GONG HESSAMI PILEHROOD HUANG KANG LI LIAO LIN LIU LUO PARSAEE REMOROV SHEN TAN

University of Toronto Schools University Hill S.S. A.B. Lucas S.S. Western Canada H.S. Pierre Elliott Trudeau H.S.

Location/Endroit

Albert Campbell C.I. Langstaff S.S. Vincent Massey S.S. Appleby College Western Canada H.S. Dr. E.P. Scarlett H.S. University of Toronto Schools Bayview S.S. Marc Garneau C.I. Richmond Hill H.S. Victoria Park C.I. University of Toronto Schools College Jean de Brebeuf The Woodlands Sec. School Walter Murray C.I. Unionville H.S. Richmond Hill H.S. Centennial Collegiate

Scores/Notes 89 - 86 JERRY WILLIAM JAEYOON LUOFEI ZHONGQI YUANYUE ELNAZ YUSHU QINGYUN ZEHUA XINYI SHIJIE JEFFREY ANDREW ALI ANDREY CHARLIE YIMING

The Woodlands Sec. School Western Canada H.S. Bayview S.S. Pierre Elliott Trudeau H.S. Marc Garneau C.I. Marc Garneau C.I. Centennial H.S. Insight Academy of Canada Lord Byng S.S. Marc Garneau C.I. Fleetwood Park S.S. Western Canada H.S. St. Theresa of Lisieux C.H.S. London Dist. Christian S.S. Lord Byng S.S.

2017 Euclid Contest/Concours Euclide Student Honour Roll/Palmarès d'étudiants

Group III/Groupe III TANG WANG WANG WEI WEI WEN WEN XU XU XU XU YANG YANZI YE YU ZHANG ZHANG ZHANG ZHANG ZHAO ZHOU ZHU

Scores/Notes 89 - 86 YIMING SEAN VICTOR ANDREW BEN HENRY WILLIAM JIAJIE JUSTIN KELVIN SCOTT JONATHAN YANG MING YANG SHILONG JEFF JINGYA MATTHEW ZIJIA WANYU ZIXIANG HAORAN

Group IV/Groupe IV AMANI BAI BARRY CAO CHENG CONNELL TOMBS DAI DAI DE SILVA FANG FARHADI GAO GAO GU GUO HAN HAN HE HE HONG HU HU HUANG HUANG JAIN JI JIA

Colonel By S.S. Point Grey S.S. Sir Winston Churchill S.S. St. George's School Waterloo C.I. Burnaby South S.S. Pierre Elliott Trudeau H.S. Royal Crown Academic School Turner Fenton S.S. Westdale S.S. Vincent Massey S.S. Port Moody Sr. S.S. Insight Academy of Canada Bayview S.S. William Lyon Mackenzie C.I. Georges Vanier S.S. Mulgrave School Mcdonald Int'l Academy Appleby College Thornhill S.S.

Gloucester Vancouver Vancouver Vancouver Waterloo Burnaby Markham North York Brampton Hamilton Windsor Port Moody Scarborough Richmond Hill North York Vancouver North York West Vancouver Toronto Oakville London Thornhill

11 10 11 11 12 12 12 12 11 12 10 12 11 11 11 9 12 11 12 11 9 12

West Vancouver London Vancouver Guelph Edmonton Newmarket Windsor Markham North York Etobicoke Calgary Richmond Hill Markham Vancouver North York West Vancouver Nepean Etobicoke Markham Surrey Waterloo Scarborough Guelph Montreal Richmond Hill Markham Etobicoke

12 11 12 11 9 11 11 11 12 11 11 12 12 11 10 11 11 12 12 11 9 12 12 11 11 12 12

Scores/Notes 85 - 82 PEDRAM RONGZHUO TIM JOHN OLIVER MATTHEW CHUANWEN YI THINULA CHENGZHI HOOMAN MAX RUI WENYUE VICTOR ESTHER YUSHUO JUNWEI SIYAN HUNTER HENRY YUE KENT YUQING KEVIN LI DONGLIN

West Vancouver S.S. A.B. Lucas S.S. Eric Hamber S.S. Centennial C. and V.I. Old Scona Academic H.S. Sacred Heart C.H.S. Vincent Massey S.S. Milliken Mills H.S. Marc Garneau C.I. Bishop Allen Academy Webber Academy Richmond Hill H.S. Pierre Elliott Trudeau H.S. Lord Byng S.S. Marc Garneau C.I. Sentinel S.S. Longfields-Davidson Heights S. Imperial College Of Toronto Pierre Elliott Trudeau H.S. Fraser Heights S.S. Waterloo C.I. New Oriental Int'l College John F. Ross C.V.I. Lower Canada College Richmond Hill H.S. Bur Oak S.S. Bishop Allen Academy

2017 Euclid Contest/Concours Euclide Student Honour Roll/Palmarès d'étudiants

Group IV/Groupe IV JIANG JIN KANDOLA KEHRIG KIM LEE LEE LI LI LIANG LIU LIU LO LUO MOSELEY NGO NI PANG QI REN SHAN SHI SHYNKEVYCH SULLIVAN SUN TIAN TIAN WANG WANG WANG XUE YANG YANG YANG YANG YOU YU ZHAN ZHANG ZHANG ZHANG ZHANG ZHANG ZHAO ZHENG ZHOU ZHOU ZHOU ZHU ZHUO

Scores/Notes 85 - 82 EDWARD DANIEL TRIMAN BRIAN ANDREW DANNY HYEOK JUN GUOLUN MICHAEL JINGZHI MARLEY OUJING NATHAN YUXUAN CALLUM FREDERICK YIHAN LAWRENCE JI BORU WENQI JANE DMYTRO NICHOLAS YIXIONG EDWARD ZHENGYING DUANYANG SIMON YUXI YUCHEN BOYA ERICA JAEWOO ZICHEN QIZHE XIAOCHEN ALBERT AN KAISHEN SONGQING YUANHONG YUGE JACK LINDA ALICE CONNIE JEFFREY LAN XI WEIXI

Moscrop S.S. Marc Garneau C.I. Vincent Massey S.S. The Renert School Walter Murray C.I. R.E. Mountain S.S. Westdale S.S. Lord Byng S.S. Marc Garneau C.I. Marc Garneau C.I. Colonel By S.S. Heritage Woods Secondary Pierre Elliott Trudeau H.S. Royal Crown Academic School Richmond Hill H.S. Marc Garneau C.I. Markville S.S. Marc Garneau C.I. Moscrop S.S. The Westside School Markville S.S. Sir Winston Churchill H.S. Braemar College Ashbury College Cameron Heights C.I. University of Toronto Schools Havergal College Hillfield-Strathallan Coll. H. Marc Garneau C.I. Surrey Christian School (Secon Thornhill S.S. Burnaby South S.S. Oakridge S.S. Kelvin H.S. Town Ctr. Montessori Priv. Sch Abbey Park H.S. St. Robert C.H.S. Vincent Massey S.S. Oakville Trafalgar H.S. Yorkville International Academ Georges Vanier S.S. Pinetree S.S. Insight Academy of Canada Windermere S.S. Colonel By S.S. Waterloo C.I. Branksome Hall Western Canada H.S. Marianopolis College Unionville H.S.

Burnaby North York Windsor Calgary Saskatoon Langley Hamilton Vancouver North York North York Gloucester Port Moody Markham North York Richmond Hill North York Markham North York Burnaby Vancouver Markham Calgary Toronto Rockcliffe Kitchener Toronto North York Hamilton North York Surrey Thornhill Burnaby London Winnipeg Markham Oakville Thornhill Windsor Oakville Markham North York Coquitlam Scarborough Vancouver Gloucester Waterloo Toronto Calgary Westmount Markham

12 10 12 12 12 11 12 12 9 10 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 11 10 12 11 11 11 9 12 13 12 11 11 11 11 12 12 11 12 11 11 12 12 12 12 12

2017 Euclid Contest/Concours Euclide Student Honour Roll/Palmarès d'étudiants

Group V/Groupe V AU BAI CAO CHAU CHEN CHEN CHEN CHEN CHEN CHEN CHENG CHU CHUNG DE SILVA DENG DING DU DUAN FANG GAO GOATCHER GU HOOPER HU HUANG HUANG JIANG JIANG JIN KANG KANG KE KIM KLASSEN LANHE LEDGERWOOD LEE LEE LI LI LI LI LI LI LI LIANG LIANG LIANG LIAO LIN LIU LIU

Scores/Notes 81 - 79 PATRICK MINYA JINGQUAN BRIAN BINGZHI JIAWEI WEIXI YILIN YUFEI YUHONG ALBERT KEVIN YUN EN BIMESH LIN FRANK JIA HUI DANYANG JAMES ZIXUAN HUGH ANDI COLEMAN JASON BRAD TIANQI HENNING RYAN YIFAN SEO YOUNG SULLAN DANNY JOSHUA NATHAN ZHENG JACOB JOON HO JULIETTE GUOHAO HANCHEN JINGLIN MENGQI MICHAEL WILLIAM YILUN DAREN KATHERINE XI XIN YONGXIAN JIALU SHUYU XIAOYI

Don Mills C.I. Vincent Massey S.S. Royal Elite Int'l Academy Woburn C.I White Oaks S.S. Fredericton H.S. Milliken Mills H.S. Mulgrave School Thornlea S.S. North Star Academy University of Toronto Schools Western Canada H.S. St. Patrick's H.S. Richmond Hill H.S. Unionville H.S. University of Toronto Schools Glenforest S.S. Wales College Elgin Park S.S. Colonel Gray Sr. H.S Glebe Collegiate Institute St. Francis Xavier S.S. Horton H.S. Killarney S.S. Richmond Hill H.S. Bayview S.S. Vincent Massey S.S. William Lyon Mackenzie C.I. Brooklyn College Port Moody Sr. S.S. Lower Canada College Bell H.S. Bayview S.S. Guelph C. and V.I. Toronto Central Academy Vincent Massey S.S. Garibaldi S.S. Seaquam S.S. Amberson College Marc Garneau C.I. Rockridge S.S. York Mills C.I. William Lyon Mackenzie C.I. Richmond Green S.S. Dundas Valley S.S. Fredericton H.S. Western Canada H.S. David Thompson S.S. Handsworth S.S. St. Thomas Aquinas H.S. Earl Haig S.S. Toronto Central Academy

North York Windsor Niagara-on-the-Lake Scarborough Oakville Fredericton Markham West Vancouver Thornhill Laval Toronto Calgary Ottawa Richmond Hill Markham Toronto Mississauga Scarborough Surrey Charlottetown Ottawa Mississauga Wolfville Vancouver Richmond Hill Richmond Hill Windsor North York Toronto Port Moody Montreal Nepean Richmond Hill Guelph Toronto Windsor Maple Ridge Delta Toronto North York West Vancouver North York North York Richmond Hill Dundas Fredericton Calgary Vancouver North Vancouver North Vancouver North York Toronto

12 11 12 9 12 11 12 11 12 12 10 11 11 12 11 12 12 12 9 12 12 11 12 10 12 12 10 12 12 11 12 12 12 11 11 12 12 12 12 12 11 11 12 12 12 11 11 12 11 12 12 12

2017 Euclid Contest/Concours Euclide Student Honour Roll/Palmarès d'étudiants

Group V/Groupe V LIU LIU LUO MA MA MAI MEDJEDOVIC MEHTA MO PAPADOPOULOS PARK PU QIAN QIAO REN ROBITAILLE SHEN SHETH SHI STECKEL SU SU TAO WAN WANG WANG WANG WANG WONG WONG WU WU WU XIE XU XU XU XU YAN YANG YANG YANG YANG YOU YOUNG YU ZAITSEVA ZHANG ZHANG ZHOU ZHOU ZHOU

Scores/Notes 81 - 79 YUXIN ZHUOCHENG LINDA FRANK JINGYU STEVEN ANDEAN HERMISH DENNIS DANIEL SAMMY JUSTIN YANSONG ZHUOHUA CYNTHIA ALEXANDER ERIC VISHWA PENGYUAN CAMRYN HAO CONG ZHIHAO SEAN LIHONG JOSEPH QINCHEN RUI SHUSHAN ERIC TSZ FOON DEREK ERIC PETER XINYUE CHENRUI SAMUEL YIFAN ZIYI XUEZHI DANIEL JIAJIE PETER YAHUI ALEX MICHAEL ZHENGZHENG DARIA GARLAND JENNIFER BINGYAO HUIYI LIYANG

ACE Acumen H.S. Earl Marriott S.S. London Central S.S. St. George's School Mentor College University of Toronto Schools Westmount S.S. University of Toronto Schools Richmond S.S. Centennial C. and V.I. Abbey Park H.S. William Lyon Mackenzie C.I. Halifax Grammar School Rothesay Netherwood School St. Aloysius Gonzaga S.S. College Jean de Brebeuf University of Toronto Schools Central Peel S.S. Bur Oak S.S. Oakridge S.S. Victoria Park C.I. Crescent School Bayview S.S. Toronto Dist. Christian H.S. Bayview S.S. Elmwood School Sir Winston Churchill S.S. Sir Winston Churchill S.S. Unionville H.S. Sir Robert Borden H.S. Iroquois Ridge H.S. Richmond Hill H.S. Kuper Academy Father John Redmond H.S. Vincent Massey S.S. Northview Heights S.S. Royal Crown Academic School Citadel H.S. University of Toronto Schools Toronto Central Academy Semiahmoo S.S. Royal Crown Academic School Richmond S.S. Vincent Massey S.S. Brantford C.I. and V.S. University of Toronto Schools Markville S.S. Port Moody Sr. S.S. Sentinel S.S. Langstaff S.S. Collingwood School

Toronto Surrey London Vancouver Mississauga Toronto Hamilton Toronto Richmond Guelph Oakville North York Halifax Rothesay Mississauga Montreal Toronto Brampton Markham London North York North York Richmond Hill Woodbridge Richmond Hill Rockcliffe Vancouver Vancouver Vancouver Markham Nepean Oakville Richmond Hill Kirkland Etobicoke Windsor North York North York Halifax Toronto Toronto Surrey North York Richmond Windsor Brantford Toronto Markham Port Moody West Vancouver Richmond Hill West Vancouver

12 12 12 11 12 10 10 12 11 12 12 12 12 12 11 12 9 12 12 12 12 10 11 12 11 12 12 10 11 12 10 11 11 11 11 12 12 12 11 9 12 11 12 11 12 11 12 12 11 12 12 11

2017 Euclid Contest/Concours Euclide Student Honour Roll/Palmarès d'étudiants

Group V/Groupe V ZHOU ZHOU ZHOU ZHOU ZHU ZHU ZOU ZOU

Scores/Notes 81 - 79 MICHAEL SALLY YOU ZEHAO YUYING ZHIYUE ALVIN JIAMING

Sir John A. Macdonald S.S. Victoria Park C.I. Vincent Massey S.S. A.Y. Jackson S.S. Ontario International College London Int'l Academy Prince of Wales S.S. Pierre Elliott Trudeau H.S.

Waterloo North York Windsor North York Toronto London Vancouver Markham

12 11 11 11 12 12 10 12

2017 Euclid Contest/Concours Euclide Team Honour Roll/Palmarès d'équipes International Rank/Rang School/École

City/Ville

Score/Note

1 2 3 4 4 6 7 8 8 10 10 12 12 12 12 16 16 18 18 20 21 22 22 22 22 26 27 27 29 30 31 31 31 34 34 36 36 36 36 36 36 36 43 44 45 46 46 48 48 48 48 48

Troy Singapore Nanjing Zamboanga City Tianjin Shenzhen Guangdong Chengdu Nanjing Jiangsu Guangzhou Guangdong Shenzhen Beijing Shanghai Wuhan Hubei Jakarta Barat Zhangjiagang Singapore DaLian Wuxi Jiangsu Qingdao Shandong Hangzhou Zhejiang Shenzhen Kowloon Shanghai Shenzhen Wuxi Jiangsu Shenyang Changchun Singapore Nanjing Shanghai Chennai Tamilnadu Dalian Shanghai Jinan Beijing Shenzhen Brickfields Kuala Lumpur Ningbo Zhejiang Shanghai Shanghai Tangerang Suzhou Jiangsu Chongqing Beijing Nashan District Shenzhen Shanghai Tianjin Chengdu Wuhan Subang Jaya Selangor Guangzhou Guangdong Zhengzhou

286 284 273 267 267 266 263 260 260 259 259 257 257 257 257 256 256 255 255 254 253 252 252 252 252 251 250 250 249 248 247 247 247 246 246 245 245 245 245 245 245 245 244 243 242 238 238 237 237 237 237 237

ICAE Hwa Chong Institution British Columbia Academy Math Trainers Guild of Philippines Rosedale Academy Tianjin Shenzhen Col. of Inter. Education Chengdu Shude H.S. H.S. Affiliated to Nanjing Normal Uni. The Affiliated H.S. of South China Norma Shenzhen M.S. The H.S. Affiliated to Renmin Uni. of Ch UW Shanghai WHBC of Wuhan Foreign Lang. Sch. Wardaya College Zhangjiagang Ivy Experimental H.S. Anglo-Chinese School (Independent) DaLian Zhongshan Stanford Lang. Train. S Jiangsu Tianyi H.S. Qingdao Pennon Foreign Language School Hangzhou Foreign Language School Shenzhen Foreign Language School Diocesan Girls' School No. 2 H.S. att. to East China Normal Uni Shenzhen Senior H.S. Wuxi No1 H.S Rosedale Academy-Shenyang High School att'd to Northeast Normal Un National Junior College Nanjing Foreign Language School Shanghai Gold Apple School CPS Group of Schools Dalian Ealing Int'l College Shanghai Guanghua College-Fudan Campus Jinan Foreign Language School U-Link College of Beijing Int'l Centre of Normal College of Shenzh Methodist College Kuala Lumpur Ningbo Xiaoshi H.S. Shanghai Pinghe School Shanghai Qibao Dwight H.S. Surya Institute Ulink College of Suzhou Industrial Park Chongqing Nankai S. S. National Institute of Technology Shenzhen Concord College of Sino-Canada Shanghai World Foreign Language M.S. Tianjin No.1 High School Chengdu No 7 H. S. (Gaoxin Campus) No.1 Middle School Affiliated to CCNU Taylor’s College Sdn Bhd U-Link College Guangzhou Zhengzhou Foreign Language School

2017 Euclid Contest/Concours Euclide Student Honour Roll/Palmarès d'étudiants International Name/Nom

School/École

Group I/Groupe I

Scores/Notes 97 - 95

BHATTACHARYA JEON WANG WU ZHAO

Group II/Groupe II ARORA CHEN CHEUNG JASON LIU LU MODI SHEN SUN SUN THAVAMANI WAHYUDI WANG YANG ZENG ZHAO ZHOU

Group III/Groupe III CAO CHEN CHEN CHENG CLAVERIA DAI DUMAN HE JIAO ONG OU PARK PARTONO QIN SARASWATHY SENG QI WEN TALATI TY WANG WANG WANG

ANKAN SEBASTIAN SHUWEI XIAORUN FREDDIE

ICAE Bergen County Academies Hwa Chong Institution Hwa Chong Institution ICAE

Location/Endroit

Grade/Niveau

Troy Hackensack Singapore Singapore Troy

12 9 12 12 10

Troy Nanjing Cranford Jakarta Barat Nanjing Singapore Troy Hangzhou Shanghai Dalian Troy Tangerang Selatan DaLian Singapore Shenzhen Guangdong Shenzhen Tianjin

10 10 10 11 11 12 11 10 11 10 11 12 11 12 12 12 11

Singapore Nanjing Beijing Wuxi Jiangsu Zamboanga City Nanjing Istanbul Shenzhen Tianjin Zamboanga City Chengdu Shanghai Jakarta Barat Nanjing Chennai Tamilnadu Subang Jaya Selangor Morbi Zamboanga City Harbin Tianjin Guangzhou

11 11 12 12 11 11 12 11 10 9 12 12 12 11 12 12 12 10 11 11 12

Scores/Notes 94 - 91 AJAY ICAE TIANYI British Columbia Academy IAN K. J. Marks Jr. KRISTOFORUS Wardaya College YIFAN British Columbia Academy SHENGWEI Hwa Chong Institution NEEL ICAE SIKAI Hangzhou New Century Foreign Langua MICHAEL Shanghai American School (West Camp WENHAN Dalian Ealing Int'l College CHITTESH ICAE TIMOTHY JACOBSanta Laurensia H. S. YEWEN DaLian Zhongshan Stanford Lang. Tra JUNHUI Hwa Chong Institution ZHENGTAO Shenzhen Col. of Inter. Education YANGRONG Shenzhen Senior H.S. ZIHAN Rosedale Academy Tianjin

Scores/Notes 90 - 88 ZHICHUN Victoria Junior College QIANFAN British Columbia Academy YI U-Link College of Beijing JIAYUE Jiangsu Tianyi H.S. ELIJAMIN Math Trainers Guild of Philippines YUCHENG British Columbia Academy ARTUN Bahcesehir H.S. for Sci. and Tech. ZEYUAN Shenzhen M.S. PENGYI Rosedale Academy Tianjin STEFAN Math Trainers Guild of Philippines YIYANG Chengdu Shude H.S. JUNHO Shanghai American School (West Camp RUBEN Wardaya College ZIANG British Columbia Academy HARINI CPS Group of Schools GABRIEL Taylor’s College Sdn Bhd AKHIL Om Shanti English Medium School SEAN ANDERSONMath Trainers Guild of Philippines DING Harbin Engineering University Aleve GUANZHAO Rosedale Academy Tianjin XIYAO Guangzhou Zhixin School

2017 Euclid Contest/Concours Euclide Student Honour Roll/Palmarès d'étudiants International Group III/Groupe III WANG WEN WU XU XU ZHANG ZHENG ZHOU ZHOU ZUO

Scores/Notes 90 - 88 YIJIE ZIHAN YUHENG HAORAN XINGZE ZIYAO LETIAN KAIWEN SU YUNCONG

Group IV/Groupe IV CAO CAO CHEN CHEN CHEN CHENG CHIU CHONG FENG GANESH GENG GONZALES GU GUAN GUO HAO HOU HOU HUANG HUANG HUANG JIA JIAHE JUNAIDI KEH LI LI LI LI LI LI LI LIN LIN LIU LIU LU MA MAYER

Chengdu Shude H.S. British Columbia Academy The Affiliated H.S. of South China H.S. Affiliated to Nanjing Normal U Hangzhou Foreign Language School Shandong Experimental High School British Columbia Academy Wuhan ULink College of Optics Valle WHBC of Wuhan Foreign Lang. Sch. British Columbia Academy

Chengdu Nanjing Guangzhou Guangdong Nanjing Jiangsu Hangzhou Zhejiang Jinan Nanjing Wuhan Wuhan Hubei Nanjing

10 12 11 11 11 11 11 11 11 11

Nanjing Nanjing Singapore Nanjing Shanghai Shenzhen Nanjing Zamboanga City Beijing Troy Nanjing Zamboanga City Nanjing Ningbo Shanghai Qingdao Shandong Tianjin Jinan Guangzhou Guangdong Shenzhen Guangdong Chongqing Kowloon Singapore Singapore Zamboanga City Changchun Langfang Shenzhen Singapore Shenzhen Guangdong Hangzhou Chengdu Nanjing Guangzhou Guangdong Beijing Nanjing Jiangsu Zhangjiagang Nanjing Tangerang

11 11 12 11 12 10 11 10 12 9 11 9 10 10 13 10 11 11 11 12 10 11 11 12 12 12 12 11 12 13 11 11 11 10 11 11 11 11 10

Scores/Notes 87 - 85 HAORAN TIANTIAN LU QIAN RUI MINGDA HAOYUN JINGER JICHEN SRIHARI JIANCHAO ANDRES RICO BOYANG ZHAOSHUN JIALIANG YANXING EDWARD YIFEI LIHUI YIHAO ZHIYI JIMSYN ZHU ARIEL SEDRICK KEH MICHAEL XINHAI XINYU YUHAO ZHAOHUA ZHENGZE ZHIWEI YUKE ZIHONG MENGZHEN YUDONG XIAO JIAYUAN MOSES

British Columbia Academy British Columbia Academy Hwa Chong Institution British Columbia Academy Shanghai Guanghua College-Fudan Cam Shenzhen Foreign Language School British Columbia Academy Math Trainers Guild of Philippines UW - Beijing ICAE British Columbia Academy Math Trainers Guild of Philippines Nanjing Foreign Language School Zhenhai H.S. Cambridge Int'l Center UW Shanghai Qingdao Pennon Foreign Language Sch Rosedale Academy Tianjin Jinan Foreign Language School The Affiliated H.S. of South China Shenzhen Col. of Inter. Education Chongqing Nankai S. S. Diocesan Girls' School National Junior College Anglo-Chinese School (Independent) Math Trainers Guild of Philippines High School att'd to Northeast Norm Canada Langfang S. S. Shenzhen M.S. Hwa Chong Institution Shenzhen Col. of Inter. Education Hangzhou New Century Foreign Langua Chengdu Shude H.S. British Columbia Academy The Affiliated H.S. of South China Beijing National Day School H.S. Affiliated to Nanjing Normal U Zhangjiagang Ivy Experimental H.S. British Columbia Academy Surya Institute

2017 Euclid Contest/Concours Euclide Student Honour Roll/Palmarès d'étudiants International Group IV/Groupe IV MEN NAIRONG NI ONG PAN PARKHOMENKO QIAN RUAN S SHA SHI SIVASHANKAR SONG SONI SUNEJA TRAN WANG WANG WANG WANG WANG WANG WANG WEI WU XU XU XU YAN YAN YAN YAN YANG YAO YAO YIHAN YU YU YU ZEHONG ZHAN ZHANG ZHANG ZHANG ZHANG ZHANG ZHANG ZHANG ZHAO ZHAO ZHOU ZHOU

Scores/Notes 87 - 85 CHENGKAI DU HAOQI DION STEPHAN ZHENGKAI PAVLO YUEHAN JIACHENG JEEVA JUNYI HAOCHEN VARUN YONG PRATHAM SAHIL THIEN MANSHU TAOHAO TIANYU YUANHANG YUANHAO YUANYUTING YUTIAN TANMING GAOCHEN CHONGCONG GUANGZI ZHANDUO CHANG MENGXUAN QIAN XI YAN YIMING LUHAN TIANHAO LU BAICHEN JIAYIN PINGAN ZONG YAQI CHENYANG HAOCHEN HENGSU SONGYUE YUQIAN ZHILIN ZHONGYANG LIQI YUNTING HUAHAO ZILI

Anglo-Chinese School (Independent) Victoria Junior College Beijing National Day School Math Trainers Guild of Philippines Cambridge Int'l Centre of Shanghai NVK 157 British Columbia Academy Ulink College of Suzhou Industrial CPS Group of Schools British Columbia Academy H.S. Affiliated to Nanjing Normal U Transitions Lab Prep School The H.S. Affiliated to Renmin Uni. ICAE ICAE Hwa Chong Institution Qingdao Pennon Foreign Language Sch UW Shanghai UW - Beijing The H.S. Affiliated to Renmin Uni. UWC Changshu China Shenzhen M.S. British Columbia Academy H.S. Affiliated to Nanjing Normal U Zhangjiagang Ivy Experimental H.S. No. 2 H.S. att. to East China Norma Hangzhou New Century Foreign Langua Hangzhou New Century Foreign Langua H.S. Affiliated to Nanjing Normal U British Columbia Academy No.1 Middle School of Linchuan Shanghai Gold Apple School Beijing National Day School Chengdu Shude H.S. No. 2 H.S. att. to East China Norma Cambridge Int'l Ctr. of Shanghai No Rosedale Academy Tianjin British Columbia Academy Wuxi No1 H.S Zhengzhou Foreign Language School The H.S. Affiliated to Renmin Uni. The H.S. Affiliated to Renmin Uni. Rosedale Academy Tianjin British Columbia Academy Wuxi No1 H.S Hwa Chong Institution Chengdu Shude H.S. Shenzhen Col. of Inter. Education British Columbia Academy Qingdao University GAC-ACT Center UWC Changshu China WHBC of Wuhan Foreign Lang. Sch.

Singapore Singapore Beijing Zamboanga City Shanghai Kyiv Nanjing Suzhou Jiangsu Chennai Tamilnadu Nanjing Nanjing Jiangsu Thiruvanathapuram Beijing Troy Troy Singapore Qingdao Shandong Shanghai Beijing Beijing Changshu Shenzhen Nanjing Nanjing Jiangsu Zhangjiagang Shanghai Hangzhou Hangzhou Nanjing Jiangsu Nanjing Fuzhou Shanghai Beijing Chengdu Shanghai Shanghai Tianjin Nanjing Wuxi Jiangsu Zhengzhou Beijing Beijing Tianjin Nanjing Wuxi Jiangsu Singapore Chengdu Shenzhen Guangdong Nanjing Qingdao Changshu Wuhan Hubei

10 12 12 9 11 11 11 11 12 11 11 11 11 9 10 12 11 12 12 12 10 11 10 11 11 11 11 11 11 11 11 12 12 12 11 12 10 11 12 11 11 11 12 11 11 12 11 12 11 10 12 11

2017 Euclid Contest/Concours Euclide Student Honour Roll/Palmarès d'étudiants International Group IV/Groupe IV ZHOU ZHU ZHU ZIEN ZUO

Scores/Notes 87 - 85 ZIQING CHENXIN CHI LIN XIAOTONG

Group V/Groupe V ANG BOON HAN ARORA AYDIN CAI CAI CHANDRATREYA CHANG CHEN CHEN CHEN CHEN CHEN CHEN CHEN CUI CUI DONY DORAN FAN FAN FAN FANG FANG FENG FLORES FU FU GAO GOU GUO GUO GUO GUO GUO GUO HAO HONG HU HU HUANG HUANG HUANG HUANG HUANG

Jiangsu Tianyi H.S. Zhangjiagang Ivy Experimental H.S. British Columbia Academy Anglo-Chinese School (Independent) Shenzhen Concord College of Sino-Ca

Wuxi Jiangsu Zhangjiagang Nanjing Singapore Nashan District Shen

11 11 10 11 11

Singapore Delhi Istanbul Beijing Nanjiing Nashik Changchun Shenyang Qingdao Shandong Wuhan Hubei Shanghai Tianjin Wuhan Hubei Shenzhen Nanjing Shenzhen Shenyang Cork Nanjing Hangzhou Zhejiang Nanjing Shanghai Shenyang Shanghai San Salvador Qingdao Shandong Kowloon Guangzhou Shanghai Beijing Shenyang Shenzhen Guangdong Jhijiazhuang Ningbo Zhejiang Zhangjiagang Beijing Jiangsu Wuxi Ningbo Zhejiang Jinan Qingdao Qingdao Hangzhou Shenzhen Nanjing

9 12 12 11 10 12 12 10 11 11 10 12 11 11 11 11 10 12 12 10 11 11 11 11 11 10 11 11 12 10 12 12 11 11 12 12 11 10 11 11 12 12 11 12

Scores/Notes 84 - 82 NATHANIEL ADITYA YUNUS TIANQIN XURAN ISHAAN BASIL DIBO MINGJIANG RUORU YUFEI YUSHAN YUXUAN ZHUO RUOHUI YUZE SHIXINY DESMOND JIAN KAIYAN SHIJIE CHENYANG RONGMIN JIANAN DIEGO YICHENG YIMEI SHANTIANFANG RUIYU HANXUAN JIACHENG RUI YU RUOXI SIDONG YINING MINGYU XUECHEN HANTONG YUNSHU GUANQIU HAIHAN HANYANG PEIYAO XIPENG

Anglo-Chinese School (Independent) UW Delhi Uskudar American Academy Beijing National Day School Jinling H.S. Fravashi Int'l Academy High School att'd to Northeast Norm Rosedale Academy-Shenyang Qingdao Pennon Foreign Language Sch WHBC of Wuhan Foreign Lang. Sch. No. 2 H.S. att. to East China Norma Tianjin No.1 High School WHBC of Wuhan Foreign Lang. Sch. Shenzhen M.S. British Columbia Academy Shenzhen M.S. Rosedale Academy-Shenyang Christian Brothers College British Columbia Academy Hangzhou Foreign Language School British Columbia Academy Shanghai World Foreign Language M.S Rosedale Academy-Shenyang Shanghai Pinghe School Euroamerican 2000 Qingdao Pennon Foreign Language Sch Diocesan Girls' School Guangdong Guangya H.S. UW Shanghai Beijing National Day School Rosedale Academy-Shenyang Shenzhen Col. of Inter. Education Shijiazhuang Foreign Language Schoo Ningbo Xiaoshi H.S. Zhangjiagang Ivy Experimental H.S. National Institute of Technology Rosedale Academy - Wuxi Ningbo Xiaoshi H.S. Shandong Experimental High School Qingdao University GAC-ACT Center Qingdao University GAC-ACT Center Hangzhou New Century Foreign Langua Shenzhen M.S. British Columbia Academy

2017 Euclid Contest/Concours Euclide Student Honour Roll/Palmarès d'étudiants International Group V/Groupe V HUANG JIN JING KAKKAR KAN KHARISTIA LI LI LI LI LI LI LI LIANG LIN LIN LITAROWICZ LIU LIU LIU LIU LIU LIU LOU LU LU LU LU MAO MIN NAKAJIMA NI ONG PAN PAN POON QI QIAN QIU RAJESH RAZA SAI SHANG SHANGGUAN SHENG SHI SHI SHI SHI SHI SOKOLOVSKYI SONG

Scores/Notes 84 - 82 YIXUAN YIJIE XINGZHI MAYANK MAN KIT GIDEON HAOYUE JINGWEI KUNYANG XINCHEN YIFAN ZHENGDAN ZHERUI YUTONG SHIYANG XUANZ HI JEREMI CHENGJI SIHAN SIHONG TIANQI TIEDONG WEIZHI ZIQI HANBAI JOEY YUNCHENG ZHEN YIFAN SHIJIE TAMIO VESA SHUKAI TIFFANY MAE YUQING ZIHENG HO KIU ALLIE HAN YIWEN ZIYUE VARUN SYED HUSSAIN YIN CHEN ZHUANGFEI JINGFAN KAIYUAN CONGYUAN HAOXVAN JIAJUN SONG WEN HEORHII WENXUAN

Shanghai Qibao Dwight H.S. UW Shanghai Hangzhou Foreign Language School UW Delhi Methodist College Kuala Lumpur Anglo-Chinese School (Independent) Jinling H.S. National Junior College Qingdao Pennon Foreign Language Sch H.S. Affiliated to Nanjing Normal U British Columbia Academy Qingdao Pennon Foreign Language Sch National Institute of Technology Rosedale Academy-Shenyang Shenzhen Senior H.S. Shanghai Qibao Dwight H.S. Int'l School of Geneva (S.S.) The H.S. Affiliated to Renmin Uni. UW Shanghai Shenzhen Foreign Language School Shanghai Guanghua College-Fudan Cam Victoria Junior College UW Shanghai Qingdao Pennon Foreign Language Sch British Columbia Academy The National Math. & Science Colleg KunShan M. S. of JiangSu Province Wuxi No1 H.S Zhangjiagang Ivy Experimental H.S. British Columbia Academy Liceul Vocational Pedagogic Nicolae Jiangsu Tianyi H.S. Math Trainers Guild of Philippines Shenzhen Foreign Language School British Columbia Academy Diocesan Girls' School Rosedale Academy Tianjin UW Shanghai British Columbia Academy ICAE Beaconhouse School (Defence Campus) Sunway College-Canadian Int'l Mat. The H.S. Affiliated to Renmin Uni. UW - Beijing Beijing National Day School Rosedale Academy-Shenyang Xi'an Tie Yi High School WHBC of Wuhan Foreign Lang. Sch. UW - Beijing No. 2 H.S. att. to East China Norma Dnipro municipal school 23 Shenzhen M.S.

Shanghai Shanghai Hangzhou Zhejiang Delhi Brickfields Kuala Lu Singapore Nanjiing Singapore Qingdao Shandong Nanjing Jiangsu Nanjing Qingdao Shandong Beijing Shenyang Shenzhen Shanghai Geneva Beijing Shanghai Shenzhen Shanghai Singapore Shanghai Qingdao Shandong Nanjing Coventry Kunshan Wuxi Jiangsu Zhangjiagang Nanjing Beius Wuxi Jiangsu Zamboanga City Shenzhen Nanjing Kowloon Tianjin Shanghai Nanjing Troy Lahore Selangor Darul Ehsan Beijing Beijing Beijing Shenyang Xi'an Wuhan Hubei Beijing Shanghai Dnipro Shenzhen

11 12 11 12 13 12 11 11 11 11 12 12 12 11 11 11 10 11 12 10 12 12 11 11 11 12 10 11 11 11 12 11 11 11 11 11 10 11 11 9 12 12 11 13 10 10 12 11 12 11 10 11

2017 Euclid Contest/Concours Euclide Student Honour Roll/Palmarès d'étudiants International Group V/Groupe V SUN TAGAMI TANG TANG TIAN TIAN WAHYUDI WANG WANG WANG WANG WANG WANG WANG WANG WEI WEI WU WU WU XIE XU XU YAN YANG YAO YEN YU YU YUAN ZHANG ZHANG ZHANG ZHANG ZHANG ZHANG ZHANG ZHENG ZHOU ZHOU ZHOU ZHOU ZHU ZHU ZHU ZHUANG ZI MING

Scores/Notes 84 - 82 YIZHI DAIKI JIAXUAN YUCHEN DANIEL YU WILLIAM CHENG HAOMING SHAOHONG XINGHAN YANG YUETONG ZHIMING ZIYING YIFEI YINING QIANWEN SHILIANG TIANQI KEXIN DANIEL ZHIYUAN YIBO XING XINRU PING SI YEUNG ZHIGE ZEHAO BAOYUAN BOHAN CHENYU HAN HAOMING QIANXUE YOUYUAN ZHUANGQI MAGGIE SIXING YUTONG ZHIPENG XIAOHAN XINLIN XINYE YUERONG LIU

UW - Beijing German Int'l School Sydney Zhangjiagang Ivy Experimental H.S. Chengdu Shude H.S. ICAE Chengdu Shude H.S. Anglo-Chinese School (Independent) Chengdu Foreign Lang. Sch. (SINO-CA Chongqing No.1 International Studi WHBC of Wuhan Foreign Lang. Sch. Int'l Centre of Normal College of S UW Shanghai Chongqing Nankai S. S. Qingdao University GAC-ACT Center Hwa Chong Institution National Junior College Jinling H.S. Qingdao Pennon Foreign Language Sch British Columbia Academy British Columbia Academy Shenzhen Col. of Inter. Education ICAE British Columbia Academy UW - Beijing WHBC of Wuhan Foreign Lang. Sch. Hangzhou Foreign Language School National HsinChu Senior High School The ISF Academy British Columbia Academy British Columbia Academy Anglo-Chinese School (Independent) UW - Beijing British Columbia Academy Hangzhou Foreign Language School Qingdao Pennon Foreign Language Sch UW - Beijing Jinling H.S. British Columbia Academy Shanghai Nanyang Model Private H.S. H.S. Affiliated to Nanjing Normal U British Columbia Academy UW - Beijing Jiangsu Tianyi H.S. Int'l Engelska Gymnasiet Sodermalm British Columbia Academy Nanjing Foreign Language School DaLian Zhongshan Stanford Lang. Tra

Beijing Terrey Hills Zhangjiagang Chengdu Troy Chengdu Singapore Chengdu Sichuan Yubei Wuhan Hubei Shenzhen Shanghai Chongqing Qingdao Singapore Singapore Nanjiing Qingdao Shandong Nanjing Nanjing Shenzhen Guangdong Troy Nanjing Beijing Wuhan Hubei Hangzhou Zhejiang Hsin Chu Pokfulam Nanjing Nanjing Singapore Beijing Nanjing Hangzhou Zhejiang Qingdao Shandong Beijing Nanjiing Nanjing Shanghai Nanjing Jiangsu Nanjing Beijing Wuxi Jiangsu Stockholm Nanjing Nanjing DaLian

12 11 11 11 9 10 10 12 12 11 12 12 11 9 12 11 11 11 11 11 12 9 11 12 11 10 11 11 11 11 10 12 11 11 10 12 11 10 12 12 11 13 12 11 11 10 10

Unofficial Results

R´ esultats non-officiels

UNOFFICIAL STUDENTS AT SCHOOLS IN CANADA / ´ EVES ` ´ EL NON-OFFICIEL DANS LES ECOLES AU CANADA SCORES / NOTES 100 - 80

Name/Nom ALE MOHAMMAD AN BACH BIAN CHEN CHEN CHEN DING DUAN FANG FAN FENG HURST LIANG LU LUO MALMYGUINE MENG SHANG SONG SUN SU TIAN WANG WANG WANG XIONG YANG YI YUN ZHANG ZHANG ZHANG ZHANG ZHANG ZHAO ZHAO ZHENG ZHOU

SEYED ARMIN ZIFENG THAT MUYI JIWEI MIN RU PANYU HAO JUNYAO JIANYE YANG TIANLU ROB JINGJING KIMBERLY JINGNING MIKHAIL DEYU YILIN YUHAN HAO STEVE WENDELL HAORAN RUICHEN WEIQING YING SHUKAN JEONGSEOP CHEUKHO HAORAN MIAOQI YUKAI YUNHAO ZHUANGYU JINGLUN SIHUI YUECHEN WEILONG

´ School/Ecole St. Robert C.H.S. Bronte College Of Canada Bernice MacNaughton H.S. Columbia Int’l College Columbia Int’l College Columbia Int’l College Earl Haig S.S. Goldenlink Academy Bernice MacNaughton H.S. SuOn International Academy Bishop Allen Academy Princeton Academy of Canada Medway H.S. Bronte College Of Canada Southpointe Academy The Woodlands Sec. School Tatiana Chukhina Wales College Columbia Int’l College Columbia Int’l College SuOn International Academy SuOn International Academy Columbia Int’l College The Westside School London Int’l Academy Francis Libermann C.H.S. Waterloo C.I. Taie Int’l Institute Royal Elite Int’l Academy SuOn International Academy Iroquois Ridge H.S. Bodwell H.S. Langley Fundamental M. and S. Sch. Georges Vanier S.S. Columbia Int’l College Bloor C.I.

Location/Endroit Thornhill, ON Mississauga, ON Moncton, NB Hamilton, ON Hamilton, ON Hamilton, ON North York, ON Markham, ON Moncton, NB Etobicoke, ON Etobicoke, ON Toronto, ON Arva, ON Mississauga, ON Delta, BC Mississauga, ON Brampton, ON Vancouver, BC Scarborough, ON Hamilton, ON Hamilton, ON Etobicoke, ON Etobicoke, ON Hamilton, ON Vancouver, BC London, ON Vancouver, BC Scarborough, ON Waterloo, ON Toronto, ON Niagara-on-the-Lake, ON Etobicoke, ON Oakville, ON North Vancouver, BC Langley, BC North York, ON Hamilton, ON Vancouver, BC Toronto, ON