2009 results fryer contest galois contest hypatia contest 2009

CanadianMathematicsCompetition

An activity of the Centre forEducation in Mathematics and Computing,University of Waterloo, Waterloo, Ontario

Concourscanadien demathematiquesUne activite du Centre d’educationen mathematiques et en informatique,Universite de Waterloo, Waterloo, Ontario

2009Results

Fryer Contest(Grade 9)

Galois Contest(Grade 10)

Hypatia Contest(Grade 11)

2009Resultats

Concours Fryer(9e annee – Sec. III)

Concours Galois(10e annee – Sec. IV)

Concours Hypatie(11e annee – Sec. V)

Avec la contribution de: Avec la participation de:

c©2009 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 mathematiques et informatique

Ed AndersonLloyd AucklandTerry BaeJanet BakerSteve BrownKaren ColeJennifer CoutureFrank DeMaioMarie-Pascale DesjardinsFiona DunbarJeff DunnettMike EdenBarry FergusonJudy FoxSteve FurinoSandy GrahamAngie HildebrandJudith KoellerJoanne KursikowskiAngie MurphyDean MurrayJen NissenJ.P. PrettiLinda SchmidtKim SchnarrJim SchurterCarolyn SedoreIan VanderBurghTroy Vasiga

Problems Committee / Comite des problemes

Judith Koeller (Chair / president), University of Waterloo, Waterloo, ONRad de Peiza, Toronto, ONSandy Emms Jones, Forest Heights C.I., Kitchener, ONBarry Ferguson, University of Waterloo, Waterloo, ONAndre Ladouceur, Gloucester, ONPeter O’Hara, Glendale H.S., Tilsonburg, ONAlex Pintilie, Crescent School, Toronto, ONJudy Shanks, Pickering H.S., Ajax, ON

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Comments on the Papers Commentaires sur les epreuves

Overall CommentsThe year 2009 marked the seventh writings of the Fryer, Galois and Hypatia Contests. The FGH Contests aredesigned to give students in Grades 9, 10 and 11 an additional mathematical challenge during the school year,and one that requires full written solutions. Being able to do mathematics is an important skill; being able tocommunicate one’s findings (in mathematics or in any other field) is also very important.

We were very pleased this year to see another healthy increase in the number of participants in these Contests.In general, many students writing these Contests are doing a better job each year of writing clear solutions to theproblems. That being said, there is always work that can be done to help them improve these skills. Some studentsreduced their scores because they gave answers rather than solutions or presented untidy or illegible solutions.

The averages on the Fryer, Galois and Hypatia Contests this year were 24.9, 23.2 and 22.0, respectively. Wewill continue to try to keep the averages on these papers in this range. Here are some specific comments on theproblems.

Fryer Contest

1. Average: 7.3This problem was well done. In (c) and (d), some students ran into trouble because they carried throughdata from previous parts that was not intended to be carried through.

2. Average: 7.7This problem was also well done. Some students made careless arithmetic errors while others attempted toperform algebraic steps simultaneously that were meant to be performed consecutively. In part (d), manystudents had the correct idea, but did not list all of the solutions.

3. Average: 6.3In this problem, students who remembered the formula for the area of a circle and who recognized thatthey were dealing with a semi-circle had good success. A few students presented interesting solutions usingsymmetry. In problems of this sort, it is our belief that students should always leave their answers in exactform (for example, as 100π rather than as 314.159 . . .). We will try to communicate this fact more clearly inthe wording of the contests next year.

4. Average: 3.6This was a very interesting problem with numerous possible approaches. In part (a), some students lost amark for not distinguishing between the value of A and the sum of all of the digits in the units column.(That is, some students answered A = 202.) Students who had the same problem in (b) were not penalizeda second time. In part (c), some students developed the nine-digit pattern but needed to justify more fullythat the pattern continued for full marks. Some other patient students actually calculated each of the digitsof the sum by hand.

Galois Contest

1. Average: 8.5This question was well done by most students. In part (b), some students gave two answers, one each forred and black, rather than the probability that a student had red or black hair. In part (d), many studentsused trial and error to find a solution rather than solving algebraically, and so did not account for either thepossibility that there was only one solution or the possibility that multiple solutions might exist.

2. Average: 6.4This question was well done by students who knew how to find the equation of a straight line and find thelength of a line segment. In part (a), many students used the distance formula and neglected to deal withthe extraneous root in an appropriate fashion. Others simply said that the x-coordinates had to differ by 3without supporting their claim. Most of the errors in parts (b) and (c) were of a mechanical nature.

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3. Average: 6.4In part (a) a surprising number of students misused at least one of the Pythagorean Theorem and theformula for the area of a triangle. Part (b) was very well done, even if using an incorrect value form part (a).Part (c) was well done by many students. The most common errors were calculating the shaded area insidethe hexagon only, and forgetting to subtract the area of the white regions inside the hexagon.

4. Average: 1.9Many students were able to do parts (a) and (b) correctly. The most common error in part (c) was not givingsufficient explanation about how to build the integers in the intervals between factorials. There needed to besome definite and supported statements about how to construct the values between, for example, 1(1!)+2(2!)and 1(1!) + 2(2!) + 3(3!). Part (d) was done with reasonable success, and using some interesting methods.The most concise approach was to consider the average contribution of each factorial value and then multiplyby the number of integers which can be formed.

Hypatia Contest

1. Average: 8.2This problem was done very well, though many students included little in the way of explanation of theiranswers and work. In part (b), many students accounted for three possibilities: green eyes, brown hair, andboth green eyes and brown hair. As in Galois #1, many students solved part (d) by trial and error.

2. Average: 6.7In parts (a) and (b), a good number of students did a lot of simplification (such as choosing a particularvalue for the first term or the common difference) and solved the problem in that particular case, ratherthan solving the problem in the general case. While this did yield the correct answer, it did not receive fullmarks. In part (c), this approach led students into more trouble. In some cases, students got to an equation(such as 2a+ 5d = 60) but did not realize that they were done.

3. Average: 3.9This problem was not as well done as we had hoped. Some students got themselves immediately into troubleby locating point B(2, 0) at (0, 2). Others tried to cut the area of the triangle in half in (a) without havingthe line pass through B. In parts (b) and (c), there was a significant amount of trial and error used. In somecases, students did obtain the correct answer, but did not verify all of the conditions required (for example,in (b) that R lies on the line joining A to C).

4. Average 3.2Students had more success on this problem than we expected. Part (a) was generally well done, and manystudents had significant success in (b), even if they miscounted the number of faces on the solid. A commonconceptual error was projecting the entire solid down into two dimensions. A second interesting error in(c) occurred when students multiplied the average of the areas of the top face and the bottom face by theheight; can you see why this does not actually yield the correct answer?

Please visit our website at www.cemc.uwaterloo.ca to download the 2009 Fryer, Galois and HypatiaContests, plus full solutions.

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Commentaires generauxL’annee 2009 est la septieme edition des concours Fryer, Galois et Hypatie. Les concours de FGH ont ete creespour donner aux etudiants de 9e, 10e et 11e annee (sec. III, IV et V) un defi mathematique supplementairependant l’annee scolaire qui exige des solutions ecrites completes. Etre capable de faire des mathematiques estune aptitude importante. Pouvoir communiquer ses conclusions (en mathematiques ou autres domaines) est aussitres important.

Nous sommes ravis cette annee de constater une croissance du nombre de participants a ces concours. Engeneral, plusieurs des etudiants participant a ces concours s’ameliorent d’annee en annee en ce qui concerneecrire des solutions claires. Cependant, il y a toujours du travail a faire pour les aider a developper leurs aptitudes.Certains des etudiants ont eu des notes plus basses car ils presentaient uniquement des reponses au lieu de solutionsou des solutions non soignees ou illisibles.

Cette annee, les moyennes des concours Fryer, Galois et Hypatie etaient de 24,9, 23,2 et 22,0 respectivement.Nous tenterons de continuer a conserver cette gamme pour les moyennes de ces examens. Voici quelques commen-taires specifiques sur les problemes de ces examens.

Concours Fryer

1. Moyenne : 7,3Ce probleme a ete bien reussi. Dans les parties (c) et (d), certains eleves ont eprouve des difficultes enutilisant des donnees des parties precedentes qui ne devaient pas etre utilisees.

2. Moyenne : 7,7Ce probleme a ete bien reussi. Certains eleves ont commis des erreurs d’inattention en arithmetique ou enalgebre en effectuant des etapes simultanement plutot que de facon consecutive. Dans la partie (d), beaucoupd’eleves avaient la bonne idee, mais n’ont pas determine toutes les solutions.

3. Moyenne : 6,3Dans ce probleme, les eleves qui connaissaient l’aire du cercle et qui reconnaissaient qu’ils travaillaient avecdes demi-cercles ont bien reussi. Quelques eleves ont presente des solutions interesssantes qui faisaient appela la symetrie. Dans de tels problemes, il est preferable de repondre au moyen de valeurs exactes (par exemple,100π plutot que 314.159 . . .). Nous tenterons de mieux communiquer cette idee l’an prochain dans les enoncesdes problemes.

4. Moyenne : 3,6Il s’agissait d’un probleme fort interessant qui pouvait etre resolu de plusieurs facons. Dans la partie (a),certains eleves n’ont pas distingue la valeur du chiffre A de la somme des chiffres de la premiere colonne.(Certains eleves ont repondu que A = 202.) Les eleves qui ont commis la meme erreur dans la partie (b)n’ont pas perdu des points la deuxieme fois. Dans la partie (c), certains eleves ont decouvert le motif repetede neuf chiffres, mais ils devaient le justifier davantage pour meriter le maximum de points. Certains elevestres patients ont pris la peine d’effectuer l’addition a la main.

Concours Galois

1. Moyenne : 8,5La plupart des eleves ont bien reussi. Dans la partie (b), certains eleves ont donne deux reponses (unepour les cheveux roux et une pour les cheveux noirs), au lieu d’une reponse pour les cheveux roux ou noirs.Dans la partie (d), beaucoup d’eleves ont procede par tatonnements pour resoudre, plutot que d’utiliserune approche algebrique. Ce faisant, ils n’ont pas demontre qu’il n’y avait qu’une solution ou considere lapossibilite de plus d’une solution.

2. Moyenne : 6,4Cette question a ete bien reussie par les eleves qui savaient comment determiner l’equation d’une droite et la

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longueur d’un segment de droite. Dans la partie (a), certains eleves ont utilise la formule de distance entredeux points et n’ont pas traite de la racine supplementaire donnee par l’equation. Certains ont affirme quel’abscisse devait etre 3 de plus, sans appuyer leur affirmation. La plupart des erreurs dans les parties (b) et(c) etaient des erreurs d’inattention dans les calculs.

3. Moyenne : 6,4Un nombre surprenant d’eleves ne savaient pas bien utiliser le theoreme de Pythagore ou ne savaient pascomment calculer l’aire d’un cercle. La partie (b) a ete bien reussie, meme lorsqu’une reponse erronee de lapartie (a) a ete utilisee. Beaucoup d’eleves ont bien reussi la partie (c). Certains oubliaient de calculer lapartie ombree a l’exterieur de l’hexagone, alors que d’autres oubliaient de soustraire l’aire des parties nonombrees a l’interieur de l’hexagone.

4. Moyenne : 1,9Beaucoup d’eleves ont reussi les parties (a) et (b). Dans la partie (c), beaucoup d’eleves n’ont pas expliquecomment construire les entiers dans les intervalles. Par exemple, il etait necessaire denoncer clairement etd’expliquer comment construire des entiers entre les nombres 1(1!) + 2(2!) et 1(1!) + 2(2!) + 3(3!). Des elevesont obtenu un certain succes dans la partie (d) avec une variete d’approches. L’approche la plus efficaceetait de considerer la distribution moyenne de chaque factorielle et de la multiplier par le nombre d’entiersqui pouvaient etre formes.

Concours Hypatie

1. Moyenne : 8,2Ce probleme a ete bien reussi, bien que beaucoup d’eleves n’aient pas fourni suffisamment d’explications oude travail. Dans la partie (b), beaucoup d’eleves ont donne trois reponses, soit une pour les yeux verts, unepour les cheveux bruns et une pour les yeux verts et les cheveux bruns, au lieu d’une reponse pour les yeuxverts ou les cheveux bruns. Comme dans le numero 1 du concours Galois, beaucoup d’eleves ont resolu lapartie (d) par tatonnements.

2. Moyenne : 6,7Dans les parties (a) et (b), bon nombre d’eleves ont simplifie le probleme a un cas particuler pour lequelils ont trouve une reponse. Meme si la reponse etait bonne, cette approche ne meritait pas le maximum depoints. Cette approche a ete nefaste dans la partie (c). Dans certain cas, des eleves ont obtenu une equation(p. ex., 2a+ 5d = 60) sans comprendre qu’elle leur apportait la reponse.

3. Moyenne : 3,9Ce probleme n’a pas eu le succes anticipe. Certains eleves ont mal commence en placant le point B(2, 0)a (0, 2). Dans la partie (a), certains ont tente de determiner l’equation de la droite sans la faire passer aupoint B. Dans les parties (b) et (c), bon nombre d’eleves ont fait appel au tatonnement et dans certains cas,ils ont trouve la reponse, mais sans verifier si toutes les conditions etaient satisfaites (p. ex. dans (b), sansverifier si R etait situe sur le segment AC).

4. Moyenne 3,2Les eleves ont mieux reussi que prevu. La partie (a) a ete plutot bien reussie et beaucoup d’eleves ont connuun certain succes dans la partie (b), meme si certains ont mal compte le nombre de faces du solide. Souvent,le solide etait projete vers le bas et les eleves calculaient, a tort, a partir d’une figure a deux dimensions.Dans la partie (c), certains eleves ont commis une erreur interessante en multipliant la moyenne de l’aire desfaces superieure et inferieure par la hauteur. Voyez-vous pourquoi ce n’est pas correct?

Veuillez visiter notre site Web a www.cemc.uwaterloo.ca pour telecharger les concours Fryer, Galoiset Hypatie 2009, avec solutions completes.

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Enrollment Inscription

Number of students registered by province /Nombre d’etudiants inscrit par province

Enrollment/Inscription

NL 56NS 287NB 175PE 0QC 397ON 7343MB 304SK 165AB 523BC 1675International 1693

Total 12618

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Student Rankings Classements des eleves

Hypatia/Fryer Galois Hypatie

Score/ Rank/ Rank/ Rank/Note Position Position Position

40 1 1 139 4 8 1838 31 22 3337 43 37 6736 69 65 12935 115 107 19434 192 173 25533 283 271 31232 405 436 38331 555 616 48030 747 780 58229 915 949 68628 1112 1119 77627 1308 1270 88226 1503 1402 99325 1715 1547 113224 1921 1681 125523 2074 1838 139122 2247 1975 152221 2412 2123 163720 2565 2273 176119 2696 2393 187518 2825 2511 199217 2914 2641 210816 2988 2758 221515 3066 2876 234814 3121 2979 246213 3183 3063 255612 3235 3148 265911 3266 3226 276210 3293 3285 28649 3317 3345 29618 3332 3392 30157 3346 3435 30566 3357 3468 30855 3364 3492 31054 3371 3507 31193 3375 3518 31292 3379 3527 31331 3382 3534 31360 3383 3541 3139

N.B. These rankings pertain to ALL contestants /N.B. Ces rangs se rapportent a TOUS concurrents

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Fryer – Gold Standard Palmares individuel – Fryer

The top 25% of the competitors in each of the three Contests were divided into three categories: Gold Standard, SilverStandard and Bronze Standard, in the ratio 1 : 2 : 3. The names of the those students achieving the Gold Standard (that is,scoring in roughly the top 4%) are listed alphabetically below for each Contest.

Les candidats qui se classent dans le premier quart de classement dans chacun des trois concours ont ete repartis en troiscategories: le niveau or, le niveau argent et le niveau bronze, selon le ratio 1 : 2 : 3. Le nom des etudiants qui ont obtenu leniveau or (c’est-a-dire ceux qui se classent parmi les premiers 4 p. 100) est donne par ordre alphatbetique ci-dessous pourchaque concours.

Name/Nom School/Ecole Location/EndroitSINAN ADIBELLI American C.I. Izmir, TurkeyYONG JIN AHN Chinese Int’l School Hong KongSATYEN AKOLKAR Stratford School Edmonton, ABSEUNGJIN AN St. Andrew’s College Aurora, ONHANNAH BAE Iroquois Ridge H.S. Oakville, ONUJWAL BHARATH ICAE Troy, MISAHIT BOLLINENI ICAE Troy, MIZHONG CAI Queen Elizabeth H.S. Calgary, ABJAYSON CAMARGO Philip Pocock C.S.S. Mississauga, ONTONY CAO Waterloo C.I. Waterloo, ONKEVIN CARRUTHERS St. John’s-Ravenscourt School Winnipeg, MBAPARNA CHANDRASEKAR U.W.C. South East Asia SingaporeBLAIR CHAU Queen Elizabeth H.S. Calgary, ABALLEN CHEN ICAE Troy, MIEMILY CHEN University of Toronto Schools Toronto, ONERIC CHEN ICAE Troy, MIGREGORY CHEN Thornhill S.S. Thornhill, ONXIN XUAN CHEN Bishop Strachan School Toronto, ONAMANDA CHEUNG Canadian Int’l School of Hong Kong Hong KongKEVIN CHIEN Crescent School North York, ONJASON CHIU St. Michael’s University School Victoria, BCLEONARD CHIU Crescent School North York, ONJULIE CHO Gleneagle S.S. Coquitlam, BCKEVIN CHOI The Yorkland School North York, ONTUDOR CIRSTEA Bayview S.S. Richmond Hill, ONASHLEIGH COLLYER Queen Elizabeth H.S. Calgary, ABNATASHA CONSUL ICAE Troy, MIAHANA DAS U.W.C. South East Asia SingaporeISAAC DUNLAP Chinese Int’l School Hong KongCHEN FAN Mount Royal Jr. H.S. Calgary, ABJIAYAO FAN E.S. St. Luc Montreal, QCLUKAS FEHR Walter Murray C.I. Saskatoon, SKALEXANDER FUNG University of Toronto Schools Toronto, ONBARRY FUNG Markham D.H.S. Markham, ONEDDY GAO Lisgar C.I. Ottawa, ONBAHAR GASER American C.I. Izmir, TurkeyMATTHEW GENTILE College Laval Laval, QCNISHANT GOHEL ICAE Troy, MIMELODY GUAN University of Toronto Schools Toronto, ONMALLIK GUDUGUNTLA ICAE Troy, MIADARSH GUPTA University of Toronto Schools Toronto, ONKAITLIN HO Sentinel S.S. West Vancouver, BCJEFF HSU Claremont S.S. Victoria, BCIMRAN HUSSAIN Queen Elizabeth H.S. Calgary, ABALYSSA HUSSEIN University of Toronto Schools Toronto, ONKEVIN HWANG Seaquam S.S. Delta, BCHYUNSOO HWANGBO Vancouver College H.S. Vancouver, BC

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Name/Nom School/Ecole Location/EndroitHIRSH JAIN ICAE Troy, MISANASI JAYAWARDENA Bluevale C.I. Waterloo, ONJIWON JEONG West Vancouver S.S. West Vancouver, BCJULIA JOHN Queen Elizabeth H.S. Calgary, ABHARIZ JOHNSON Kuwait English School Salmiya, KuwaitSTEPHEN JUNG Marc Garneau C.I. North York, ONNISHANT KAKAR ICAE Troy, MIDAVID KANG North Toronto C.I. Toronto, ONDONG WON KANG Bayridge S.S. Kingston, ONCHRISTINA KIM Moscrop S.S. Burnaby, BCHAEUN KIM University of Toronto Schools Toronto, ONJAE WON KIM Southridge School Surrey, BCJARVIS KIM Southridge School Surrey, BCJINSOO KIM Sir Frederick Banting S.S. London, ONJOOMIN KIM Int’l School Manila Taguig City, PhilippinesWONJUN KIM West Vancouver S.S. West Vancouver, BCYUNJAE KIM Lisgar C.I. Ottawa, ONSASHA KNYAZHEVSKIY St. Theresa of Lisieux C.H.S. Richmond Hill, ONJOHN LAI University of Toronto Schools Toronto, ONNICHOLAS LAI Chinese Int’l School Hong KongCHALINI LANKAGE University of Toronto Schools Toronto, ONCARINA LAUZON Southridge School Surrey, BCNGHI LE Templeton S.S. Vancouver, BCIAN LEE University of Toronto Schools Toronto, ONALEXANDER LEE St. Theresa of Lisieux C.H.S. Richmond Hill, ONRYAN LEE University of Toronto Schools Toronto, ONSANDY LEE Southridge School Surrey, BCSEOWON LEE Little Flower Academy Vancouver, BCTIMOTHY LEE Walnut Grove S.S. Langley, BCWILLIAM LEE St. Michael’s University School Victoria, BCZION LEE The Woodlands School Mississauga, ONANDREW LEUNG Crescent School North York, ONEUNICE LEUNG Chinese Int’l School Hong KongANDY LI Moscrop S.S. Burnaby, BCANG LI Glenforest S.S. Mississauga, ONANGELA LI Magee S.S. Vancouver, BCBOYANG LI Earl of March S.S. Kanata, ONCHUN LI Marc Garneau C.I. North York, ONFRANK LI University of Toronto Schools Toronto, ONSIMON LI Bell H.S. Nepean, ONKATHLEEN LIEUSON Carver C.H.S. Burnaby, BCASHLEY LIM Toronto District Christian H.S. Woodbridge, ONALEX LIN St. George’s School Vancouver, BCIAN LIN St. George’s School Vancouver, BCJAMES LIN Mount Royal Jr. H.S. Calgary, ABNICKI LINDSTROM Queen Elizabeth H.S. Calgary, ABANDY LIU The Woodlands School Mississauga, ONHENRY LIU Sir Winston Churchill S.S. Vancouver, BCLUCY LIU Magee S.S. Vancouver, BCRAY LIU Dr. Norman Bethune C.I. Scarborough, ONDAVID LU ICAE Troy, MISEAN LU Vincent Massey S.S. Windsor, ONTERESA LY Riverside S.S. Port Coquitlam, BCCHANUKYA MALLA ICAE Troy, MIDIAN MATTINGLY ICAE Troy, MIMADELINE MCCLENAGHAN Sir Oliver Mowat C.I. Scarborough, ON

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Name/Nom School/Ecole Location/EndroitAMY MIAO Riverside S.S. Windsor, ONIN OOK MOON U.W.C. South East Asia SingaporeKAREN MORENZ University of Toronto Schools Toronto, ONLWIN NAING Jerudong Int’l Sch. Negara, Brunei DarussalamVIPUL NANDIGALA ICAE Troy, MIROBIN NEWMAN Chinese Int’l School Hong KongDANIEL NG Chinese Int’l School Hong KongSTEPHANIE NGO Mother Teresa H.S. Nepean, ONAKHIL NISTALA ICAE Troy, MIMAXWELL NORMAN University of Toronto Schools Toronto, ONLACHLAN NOWELL King’s-Edgehill School Windsor, NSJOHAN ORRENIUS Humberside C.I. Toronto, ONKARANBIR PAHIL Malcolm Munroe Memorial J.H.S. Sydney, NSJONATHAN PARK Abbey Park H.S. Oakville, ONJUNWOO PARK U.W.C. South East Asia SingaporeNAEUN PARK King’s-Edgehill School Windsor, NSRAGHAV PRABHU ICAE Troy, MIVIKRAM PRASA ICAE Troy, MITERRY PYUN Richmond Hill H.S. Richmond Hill, ONYUSUF QADEER ICAE Troy, MIBRYAN QIU North York, ONFRANKLIN QIU ICAE Troy, MIYEJI RHA Burnaby Central S.S. Burnaby, BCJONATHAN RIDER American School of the Hague Wassenaar, NetherlandsHO YOUNG RYOU American School of the Hague Wassenaar, NetherlandsIGOR SADIKOV College Jean de Brebeuf Montreal, QCRAJEEV SANJEEV U.W.C. South East Asia Singapore, SingaporeNATHAN SCHMIDT St. Benedict C.S.S. Cambridge, ONARIEL SHAO West Vancouver S.S. West Vancouver, BCLINDA SHEN Francis Libermann C.H.S. Scarborough, ONEDWARD SHIN The Yorkland School North York, ONHUE SHIN Holy Cross Reg. H.S. Surrey, BCFUKUYADO SHINGO Canadian Int’l School of Hong Kong Hong KongAPURVA SHRIVAST ICAE Troy, MICHAITANYA SINGHANIA U.W.C. South East Asia SingaporeYASHAS SINGRI ICAE Troy, MIARUN SITHAMPARAPILL Markham D.H.S. Markham, ONRORY SMITH Sentinel S.S. West Vancouver, BCCINDY SONG Bell H.S. Nepean, ONJOE SU Lisgar C.I. Ottawa, ONCUTHBERT SUN ICAE Troy, MITOM SUN Jarvis C.I. Toronto, ONCOLIN TA Windermere S.S. Vancouver, BCMANDY TAM Burnaby South S.S. Burnaby, BCALICE TAN University of Toronto Schools Toronto, ONJANE TAN Burnaby South S.S. Burnaby, BCHENG TANG Bayview S.S. Richmond Hill, ONJINGYUAN TANG Newmarket H.S. Newmarket, ONSTEVEN TIMOTIUS Heritage Woods Secondary Port Moody, BCREBECCA TODESCO Queen Elizabeth H.S. Calgary, ABFREID TONG The Woodlands School Mississauga, ONBALJI VELUSWAMY ICAE Troy, MICHARLES VIRTUSIO Weston C.I. Toronto, ONCHRIS WADDELL Greystone Heights Saskatoon, SKJESSE WANG Marc Garneau C.I. North York, ONJUSTIN WANG University of Toronto Schools Toronto, ON

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Name/Nom School/Ecole Location/EndroitMIKE WANG Sir John A. Macdonald C.I. Scarborough, ONYUNQING WANG University of Toronto Schools Toronto, ONQUINTON WIDEMAN Elmira D.S.S. Elmira, ONSAMANTHA WONG Earl Haig S.S. North York, ONJAY YOUNG WOO Upper Can College Toronto, ONMIKE WU Newmarket H.S. Newmarket, ONNEIL WU Marc Garneau C.I. North York, ONANDY XIA University of Toronto Schools Toronto, ONALLEN XU Marc Garneau C.I. North York, ONBRIAN XU ICAE Troy, MIJERRY YAN Richmond Hill H.S. Richmond Hill, ONLIAH YANG Riverside S.S. Port Coquitlam, BCSOPHIA YANG Earl Haig S.S. North York, ONCINDY YAO Lord Byng S.S. Vancouver, BCLINLEI YE Queen Elizabeth H.S. Calgary, ABLI YIN William Lyon Mackenzie C.I. North York, ONLESLIE YING University of Toronto Schools Toronto, ONCLAIRE YU Queen Elizabeth H.S. Calgary, ABDAVID YU Vincent Massey S.S. Windsor, ONJAMES YUAN Queen Elizabeth H.S. Calgary, ABLINDA YIHE ZENG Vincent Massey S.S. Windsor, ONERIC ZHAN University of Toronto Schools Toronto, ONDIFEI ZHANG Moscrop S.S. Burnaby, BCJIMMY ZHANG North York, ONBOYANG ZHAO College Jean de Brebeuf Montreal, QCFEILONG ZHAO Canadian Int’l High School SingaporeJONATHAN ZHAO North York, ONJACKIE ZHOU Lord Byng S.S. Vancouver, BCKEVIN ZHOU Woburn C.I. Scarborough, ONSHIJIE ZHOU Hillfield-Strathallan Coll. H.S. Hamilton, ONYICHEN ZHOU Thornhill S.S. Thornhill, ONJESSICA ZUNG University of Toronto Schools Toronto, ON

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Galois – Gold Standard Palmares individuel – Galois



Name/Nom School/Ecole Location/EndroitSCOTT ADAMS Walter Murray C.I. Saskatoon, SKERIC AHN West Vancouver S.S. West Vancouver, BCJACKIE BAEK Colonel By S.S. Gloucester, ONRYAN BAKER Nepean H.S. Ottawa, ONARTHUR BROWN Lower Canada College Montreal, QCSIHANG CAI Zhenhai H.S. of Zhejiang Ningbo, ChinaXUESI CAI E.S. St. Luc Montreal, QCCISSY CHAN Chinese Int’l School Hong KongFABIAN CHAN St. Michael’s University School Victoria, BCBRIAN CHAU Prince of Wales S.S. Vancouver, BCLILIAN CHEN University of Toronto Schools Toronto, ONLINDA CHEN Waterloo C.I. Waterloo, ONEUGUENI CHESTATCHENKO Lawrence Park C.I. Toronto, ONWONJOHN CHOI St. Francis Xavier S.S. Mississauga, ONYOONSOO CHOI The Anglo-American School of Moscow Moscow, RussiaDANIEL CHONG A.B. Lucas S.S. London, ONKAREN CHU St. Clement’s School Toronto, ONSEADON CHUI Killarney S.S. Vancouver, BCDONGWOOK CHUNG U.W.C. South East Asia SingaporeAMALIA CONG London Central S.S. London, ONKANYE CUI Dalian Maple Leaf Int’l School Dalian, ChinaBETH CULP Sir John A. Macdonald S.S. Waterloo, ONANDREI CURELEA Vincent Massey S.S. Windsor, ONMATHEW DEAS Francis Libermann C.H.S. Scarborough, ONCHRIS DEE St. George’s School Vancouver, BCZACHARY DEVINE North York, ONANQI DONG Walter Murray C.I. Saskatoon, SKMELINA DROUIN Poly. Benoit Vachon Sainte-Marie, QCBENNY FANG Gleneagle S.S. Coquitlam, BCJIMMY FANG St. Robert C.H.S. Thornhill, ONAARON FONG University of Toronto Schools Toronto, ONDAWEI FU Shenzhen College of Int’l Education Shenzhen, ChinaAILEEN GAO Sir Winston Churchill S.S. Vancouver, BCMENG GENYI Shenzhen College of Int’l Education Shenzhen, ChinaKAIEN GU St. John’s-Ravenscourt School Winnipeg, MBLORIN GU Crescent School North York, ONLINCOLN GUO University of Toronto Schools Toronto, ONSIYAN GUO Beijing Concord College of Sino-Canada Beijing, ChinaCHRIS HAN Yew Chung Int’l School of Beijing Beijing, ChinaDAVID HAN Crescent School North York, ONJOHNN Y HAN Sir Winston Churchill S.S. Vancouver, BCJIMMY HE University of Toronto Schools Toronto, ONTIM HE Henry Wise Wood Sr. H.S Calgary, ABVINCENT HO Marc Garneau C.I. North York, ONJIAYING HOU Beijing Concord College of Sino-Canada Beijing, ChinaALEX HSIEH University of Toronto Schools Toronto, ONDANIEL HU Vincent Massey S.S. Windsor, ON

13


Name/Nom School/Ecole Location/EndroitKEVIN HU Crescent School North York, ONMIAO HU Zhenhai H.S. of Zhejiang Ningbo, ChinaSHANE HU Marc Garneau C.I. North York, ONGORDON HUA College St. Louis Lasalle, QCBRENDA HUANG Vincent Massey S.S. Windsor, ONFAN HUANG Bell H.S. Nepean, ONJAMES JEONG A.B. Lucas S.S. London, ONALEX JI Marc Garneau C.I. North York, ONBOWEN JIANG Vincent Massey S.S. Windsor, ONHEINRICH JIANG Vincent Massey S.S. Windsor, ONJACK JIANG Westdale S.S. Hamilton, ONEMILY JOUNG University of Toronto Schools Toronto, ONBRYAN KAN Markham D.H.S. Markham, ONBOKYUNG KANG Yew Chung Int’l School of Beijing Beijing, ChinaWIL KAO Western Canada H.S. Calgary, ABHYEUNGGYU KIM Charles P. Allen H.S. Bedford, NSPAUL KIM St. George’s School Vancouver, BCVICKY KWON York Mills C.I. North York, ONSIMON LABUTE Lower Canada College Montreal, QCTIAN LAN Northern S.S. Toronto, ONANDY LEE St. George’s School Vancouver, BCELLEN LEE Vancouver Tech. S.S. Vancouver, BCFELIX LEE St. Michael’s College School York, ONHARLIN LEE Int’l Sch. Manila Taguig City, PhilippinesJOSHUA LEE Crescent School North York, ONKYUNGTAE LEE American School of the Hague Wassenaar, NetherlandsRYAN LEE Halifax West H.S. Halifax, NSSHARON LEE E.S. Etienne-Brule North York, ONIAN LEUNG St. Francis Xavier S.S. Mississauga, ONERICA LI Vincent Massey S.S. Windsor, ONGORDON LI St. George’s School Vancouver, BCJUN LI Kelvin H.S. Winnipeg, MBLANCE LI Henan Experimental H.S. Zhengzhou, ChinaMISA LI Ridley College St Catharines, ONYANZHU LI Lord Byng S.S. Vancouver, BCDROR LIEBENTHAL St. John’s-Ravenscourt School Winnipeg, MBCHARLES LIN St. David C.S.S. Waterloo, ONQINGYE LIN Shenzhen College of Int’l Education Shenzhen, ChinaTOMMY LIN Sir John A. Macdonald C.I. Scarborough, ONTSUN YIN LIP Unionville H.S. Markham, ONDAVID SIQI LIU Vincent Massey S.S. Windsor, ONTONG LIU Henan Experimental H.S. Zhengzhou, ChinaVICTOR LIU Dr. Norman Bethune C.I. Scarborough, ONRICK LU Claremont S.S. Victoria, BCKEVIN LUO Eric Hamber S.S. Vancouver, BCLAWRENCE LUO Dr. Norman Bethune C.I. Scarborough, ONPHILIP MA Harry Ainlay H.S. Edmonton, ABDAVID MADRAS Earl Haig S.S. North York, ONMAHSA MALEKIABYANE Young Mathematicians Association Tehran, IranCHAO MENG Zhenhai H.S. of Zhejiang Ningbo, ChinaMING MUNIKAR Fort Richmond C.I. Winnipeg, MBANDREW NESTICO St. Michael’s College School York, ONHENRY OH Richmond Green S.S. Richmond Hill, ONBENJAMIN OLDEN COOLIGAN Northern S.S. Toronto, ONHONGYOUL PARK Upper Can College Toronto, ONJEONGHA PARK Yew Chung Int’l School of Beijing Beijing, China

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Name/Nom School/Ecole Location/EndroitRICHARD PARK Int’l Sch. Manila Taguig City, PhilippinesSUNGWHAN PARK Fredericton H.S. Fredericton, NBCHENG PENG Westdale S.S. Hamilton, ONKRISS PETROUNOV Marc Garneau C.I. North York, ONYUDONG QIU Zhenhai H.S. of Zhejiang Ningbo, ChinaRENYUE RUAN Zhenhai H.S. of Zhejiang Ningbo, ChinaSEBASTIEN SAM YUE CHI College Jean de Brebeuf Montreal, QCSHIPING SHEN Dr. Norman Bethune C.I. Scarborough, ONQINGZHAO SHI ICAE Troy, MIJEFFREY SON Dr. Charles Best S.S. Coquitlam, BCHUNTER SPINK Western Canada H.S. Calgary, ABSURAJ SRINIVASAN Fort Richmond C.I. Winnipeg, MBALEXANDER STUBBS Leamington D.S.S. Leamington, ONCHANG SU Western Canada H.S. Calgary, ABLANGMING SU Dalian Maple Leaf Int’l School Dalian, ChinaSUSAN SUN West Vancouver S.S. West Vancouver, BCDANIEL TAO The Woodlands School Mississauga, ONEGE TOPALOGLU American C.I. Izmir, TurkeyJACOB JOHN VARUN St. Robert C.H.S. Thornhill, ONGRAHAM VEHOVEC Upper Can College Toronto, ONBRYAN WAN Holy Cross H.S. Saskatoon, SKCLINTON WANG University of Toronto Schools Toronto, ONLULU WANG Zhenhai H.S. of Zhejiang Ningbo, ChinaPEGGY WANG Northern S.S. Toronto, ONYAOU WANG St. Michael’s University School Victoria, BCIAN WEAVER Halifax Grammar School Halifax, NSMIAN WEI The Woodlands School Mississauga, ONALAN WONG Applewood Heights S.S. Mississauga, ONELLIOT WONG St. John’s-Ravenscourt School Winnipeg, MBSTEPHENIE WONG Little Flower Academy Vancouver, BCKAIYU WU North York, ONTENGZI WU Earl Haig S.S. North York, ONWUDY WU Dalian Maple Leaf Int’l School Dalian, ChinaAN XIA Beijing Concord College of Sino-Canada Beijing, ChinaDI XIAO Lisgar C.I. Ottawa, ONPHILIP XIAO Sir Winston Churchill S.S. Vancouver, BCTIANLI XIAO E.S. St. Luc Montreal, QCVENKATA YADATI ICAE Troy, MIROXANA YAN Prince of Wales S.S. Vancouver, BCAARON YANG Northern S.S. Toronto, ONKARREN YANG Marc Garneau C.I. North York, ONTIANLUN YANG Zhenhai H.S. of Zhejiang Ningbo, ChinaYANGXINYE YANG Shenzhen College of Int’l Education Shenzhen, ChinaGORDON YAO The Woodlands School Mississauga, ONJONATHAN YEP Albert Campbell C.I. Scarborough, ONSTEPHANIE YEUNG Havergal College North York, ONJASON YI North Toronto C.I. Toronto, ONFAN YIN Vincent Massey S.S. Windsor, ONJICHEN YIN North York, ONXI YUAN YIN College Jean de Brebeuf Montreal, QCALICE YOU Richmond Hill H.S. Richmond Hill, ONSIMON YOUNAN St. Francis Xavier S.S. Mississauga, ONOULIN YU E.S. St. Luc Montreal, QCADRIAN YUAN West Vancouver S.S. West Vancouver, BCCHENG HAO YUAN Lord Tweedsmuir Sr. S.S. Surrey, BCTOM YUAN Markham D.H.S. Markham, ON

15


Name/Nom School/Ecole Location/EndroitYIWANG YUAN Agincourt C.I. Scarborough, ONCHENG ZENG The Woodlands School Mississauga, ONRAYMOND ZENG Heritage Woods S.S. Port Moody, BCBO ZHANG Shenzhen College of Int’l Education Shenzhen, ChinaLUCIFER ZHANG Albert Campbell C.I. Scarborough, ONSHICHUN ZHANG Jarvis C.I. Toronto, ONTOM ZHANG Dalian Maple Leaf Int’l School Dalian, ChinaMENG ZHAO Western Canada H.S. Calgary, ABTIANLE ZHAO Lorne Park S.S. Mississauga, ONTIANYU ZHAO Beijing Concord College of Sino-Canada Beijing, ChinaTIGER ZIYU ZHENG Vincent Massey S.S. Windsor, ONGUAN ZHOU ZHU Cawthra Park S.S. Mississauga, ONQIHUI ZHU Centennial Regional H.S. Greenfield Park, QC

16

Hypatia – Gold Standard Palmares individuel – Hypatie



Name/Nom School/Ecole Location/EndroitNICHOLAS ADAMSKI Harry Ainlay H.S. Edmonton, ABJOSHUA ALMAN University of Toronto Schools Toronto, ONTYSON ANDRE Richmond Hill H.S. Richmond Hill, ONJI DUK BAE Halifax West H.S. Halifax, NSBRIAN BI Woburn C.I. Scarborough, ONSIFAN BI Sir John A. Macdonald S.S. Waterloo, ONALEXEI BORISSOV Waterloo C.I. Waterloo, ONRUIDI CAO Shenzhen College of Int’l Education Shenzhen, ChinaJAE HYUN CHA St. George’s School Vancouver, BCJODY CHAN Havergal College North York, ONFRANK CHANG York Mills C.I. North York, ONJACLYN CHANG Western Canada H.S. Calgary, ABJIE CHANG Waterloo C.I. Waterloo, ONSTEVEN CHANG ICAE Troy, MIZHEWEN CHEN Halifax West H.S. Halifax, NSLIZ CHEN Walter Murray C.I. Saskatoon, SKRICHARD CHEN Sir John A. Macdonald C.I. Scarborough, ONROY CHEN Riverdale C.I. Toronto, ONXUZHI CHEN Shenzhen College of Int’l Education Shenzhen, ChinaYINGTING CHEN Shenzhen College of Int’l Education Shenzhen, ChinaYULIN CHEN Shenzhen College of Int’l Education Shenzhen, ChinaROBIN CHENG Pinetree S.S. Coquitlam, BCCHRIS CHO West Vancouver S.S. West Vancouver, BCERIC CHOI Langstaff S.S. Richmond Hill, ONJEREMY CLEVELAND Burnaby South S.S. Burnaby, BCSAMUEL DEKOVEN Northern S.S. Toronto, ONDANIEL DENG Waterloo C.I. Waterloo, ONXIN DI DONG E.S. St. Luc Montreal, QCKEVIN DU Albert Campbell C.I. Scarborough, ONJAMES DUYCK Vincent Massey S.S. Windsor, ONBRANDON EWONUS St. Michael’s University School Victoria, BCSTEVEN FAGEN Lower Canada College Montreal, QCJORDAN FRASER Lower Canada College Montreal, QCDAMON GOGUL University of Toronto Schools Toronto, ONISABEL GONZALES Centennial Regional H.S. Greenfield Park, QCCHENGCHENC GUI St. John’s-Ravenscourt School Winnipeg, MBFANG GUO Richmond Hill H.S. Richmond Hill, ONLEO GUO Dr. Norman Bethune C.I. Scarborough, ONNEIL GURRAM ICAE Troy, MINELLIE HAN Earl Haig S.S. North York, ONHENRY HARFOUCHE E.S. Etienne-Brule North York, ONROBIN HE ICAE Troy, MITONY HE Agincourt C.I. Scarborough, ONYIFAN HE Beijing Concord College of Sino-Canada Beijing, ChinaZHIJUN HONG Shenzhen College of Int’l Education Shenzhen, ChinaKAIKI HONOBE Nicholson Catholic College Belleville, ONBEN HU North York, ON

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Name/Nom School/Ecole Location/EndroitANQI HUANG Shenzhen College of Int’l Education Shenzhen, ChinaSIJU HUANG Shenzhen College of Int’l Education Shenzhen, ChinaYISHEN HUANG Harry Ainlay H.S. Edmonton, ABNANCY HUI Marc Garneau C.I. North York, ONVICTOR HUNG St. George’s School Vancouver, BCDERYN JAKOLEV University of Toronto Schools Toronto, ONSTEPHANIE JANG Pinetree S.S. Coquitlam, BCAMLESH JAYAKUMAR Waterloo C.I. Waterloo, ONLUPENG JIA Shenzhen College of Int’l Education Shenzhen, ChinaJOSHUA JIANG Crescent School North York, ONTIAN JIN Shenzhen College of Int’l Education Shenzhen, ChinaANTHONY JUN Earl Haig S.S. North York, ONBODEUK JUNG Western Canada H.S. Calgary, ABJANG JUNHO Saint John H.S. Saint John, NBKAILIN KANG Tsawwassen Independent School Society Delta, BCHELEN KIM Mount Douglas S.S. Victoria, BCMINKYU KIM Bernice MacNaughton H.S. Moncton, NBMINSIK KIM Fredericton H.S. Fredericton, NBNAMHUN KIM ICAE Troy, MISEOWOO KIM St. Robert C.H.S. Thornhill, ONTIM KIM Crescent School North York, ONLOWELL KWAN Marc Garneau C.I. North York, ONJASON KWOK University of Toronto Schools Toronto, ONHEELAN KWON Western Canada H.S. Calgary, ABCONNIE LEE Fredericton H.S. Fredericton, NBDAVID LEE Westdale S.S. Hamilton, ONJIMIN LEE Bayview S.S. Richmond Hill, ONJUNG YOUN LEE Yew Chung Int’l School of Beijing Beijing, ChinaMISAN LEE R.E. Mountain S.S. Langley, BCSONG HYUN LEE Yew Chung Int’l School of Beijing Beijing, ChinaTAEWOOK LEE St. Robert C.H.S. Thornhill, ONYOUNG SANG LEE U.W.C. South East Asia SingaporeBILL LI Western Canada H.S. Calgary, ABCHARLES LI King’s-Edgehill School Windsor, NSDEZHEN LI Mackenzie H.S. Deep River, ONKE LI Fuyuan School Shenzhen, ChinaRUOCHENG LI Beijing Concord College of Sino-Canada Beijing, ChinaTONG SHU LI Woburn C.I. Scarborough, ONZEYUAN LI Sir John A. Macdonald C.I. Scarborough, ONJINGTIAN LIAN North York, ONXUE QI LIAO Albert Campbell C.I. Scarborough, ONAARON LIN Chinese Int’l School Hong KongFRANK LIN Sir Winston Churchill S.S. Vancouver, BCJASON LIN Sir Winston Churchill S.S. Vancouver, BCPETER LIN Marc Garneau C.I. North York, ONGARY LIU Vincent Massey S.S. Windsor, ONLEO ZIXU LIU Vincent Massey S.S. Windsor, ONQIFENG LIU Dr. Norman Bethune C.I. Scarborough, ONTONG LIU Shenzhen College of Int’l Education Shenzhen, ChinaARASH LOTFI Bayview S.S. Richmond Hill, ONHAO LUO Shenzhen College of Int’l Education Shenzhen, ChinaJUNTAO LUO Lawrence Park C.I. Toronto, ONZHANHONG LUO Windermere S.S. Vancouver, BCJOCELYN MA Bell H.S. Nepean, ONMENGWE I MA Beijing Concord College of Sino-Canada Beijing, ChinaSTEPHANIE MAO Dr. G.W. Williams S.S Aurora, ON

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Name/Nom School/Ecole Location/EndroitALICE MAO Crofton House School Vancouver, BCMENG MENG Merivale H.S. Nepean, ONDAVID PAN Bur Oak S.S. Markham, ONDANIEL PARK Western Canada H.S. Calgary, ABNICK PARK St. Andrew’s College Aurora, ONSOOHYUN PARK University of Toronto Schools Toronto, ONSOOYOUN PARK Gleneagle S.S. Coquitlam, BCRYAN PENG Centennial Collegiate Saskatoon, SKKENT PHUONG Marc Garneau C.I. North York, ONCHARLIE PRUSSKY Northern S.S. Toronto, ONAURICK QIAO Vincent Massey S.S. Windsor, ONAMY QU Marc Garneau C.I. North York, ONJAMES RICKARDS Colonel By S.S. Gloucester, ONHIROHIKO ROGI Fudan Int’l School Shanghai, ChinaCRISTINA ROSU University of Toronto Schools Toronto, ONMARIYA SARDARLI McKernan J.H.S. Edmonton, ABGEORGE SERBAN Henry Wise Wood Sr. H.S Calgary, ABYAN SHAO Shenzhen College of Int’l Education Shenzhen, ChinaHENRY SHI John Fraser S.S. Mississauga, ONJANE SHIN Walnut Grove S.S. Langley, BCNIHARIKA SINGH Western Canada H.S. Calgary, ABMIA SONG Markville S.S. Markham, ONQIAN SONG Fort Richmond C.I. Winnipeg, MBWON YUP SONG St. Michael’s University School Victoria, BCDAVIS SU Vincent Massey S.S. Windsor, ONJIN WOONG SUN St. Robert C.H.S. Thornhill, ONYUE RU SUN E.S. St. Luc Montreal, QCBETSY SZETO Markville S.S. Markham, ONSHENGE TAI Huamei-Bond Int’l School Guangzhou, ChinaJASON TANG Canadian Int’l School of Hong Kong Hong KongNANCY TANG Havergal College North York, ONMANUEL UNG Sir Winston Churchill S.S. Vancouver, BCMICHAEL WAINBERG University of Toronto Schools Toronto, ONADAM WANG North York, ONJOANNA WANG Riverside S.S. Windsor, ONMENGYIN JOY WANG Vincent Massey S.S. Windsor, ONNANCY WANG Waterloo C.I. Waterloo, ONSHEN WANG Lord Byng S.S. Vancouver, BCSHU WANG Sir John A. Macdonald S.S. Waterloo, ONYALE WANG Vincent Massey S.S. Windsor, ONYIREN WANG Shenzhen College of Int’l Education Shenzhen, ChinaZIXUAN WANG Dalian Maple Leaf Int’l School Dalian, ChinaANDY WONG McNally Composite H.S. Edmonton, ABMICHAEL WONG Western Canada H.S. Calgary, ABERIC WU Colonel By S.S. Gloucester, ONJAMES WU College Jean de Brebeuf Montreal, QCLUXI WU Prince of Wales S.S. Vancouver, BCTONGBIN WU White Oaks S.S. Oakville, ONYU WU Agincourt C.I. Scarborough, ONYUJIE WU Beijing Concord College of Sino-Canada Beijing, ChinaTIAN XIA The Woodlands School Mississauga, ONEDDIE XING Sentinel S.S. West Vancouver, BCZHENG XIONG Killarney S.S. Vancouver, BCASHLEY XU Burnaby South S.S. Burnaby, BCDEAN XU Dover Bay S.S. Nanaimo, BCEDWARD XU Henry Wise Wood Sr. H.S Calgary, AB

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Name/Nom School/Ecole Location/EndroitERIC XU John Fraser S.S. Mississauga, ONSCOTT XU Agincourt C.I. Scarborough, ONTOM XU Sir John A. Macdonald S.S. Waterloo, ONXINLEI XU Lord Byng S.S. Vancouver, BCZHI XU Shenzhen College of Int’l Education Shenzhen, ChinaANDREW XUE Lisgar C.I. Ottawa, ONALEX YANG Dr. Norman Bethune C.I. Scarborough, ONJANE YANG Western Canada H.S. Calgary, ABMICHAEL YANG Henry Wise Wood Sr. H.S Calgary, ABNORMAN YAU University of Toronto Schools Toronto, ONBILL YE North York, ONJENSEN YIU Ross Sheppard Comp. H.S. Edmonton, ABDANIEL YOO Thornhill S.S. Thornhill, ONTAEKWAN YOON The Anglo-American School of Moscow Moscow, RussiaFANGCUN YU Sir John A. Macdonald C.I. Scarborough, ONHAICHUAN YU American School of the Hague Wassenaar, NetherlandsHAIWEN YU Grant Park H.S. Winnipeg, MBSAMUEL YUAN Markham D.H.S. Markham, ONWEIDUO YUAN Centennial C.V.I. Guelph, ONZIZHAO YUAN Shenzhen College of Int’l Education Shenzhen, ChinaCANDY ZHANG Vincent Massey H.S. Brandon, MBEMILY ZHANG Western Canada H.S. Calgary, ABMICHAEL ZHANG Crescent School North York, ONXI ZHANG Saint John H.S. Saint John, NBCONNIE ZHAO University of Toronto Schools Toronto, ONJING ZHAO Western Canada H.S. Calgary, ABPEI JUN ZHAO London Central S.S. London, ONTIANCHENG ZHAO Beijing Concord College of Sino-Canada Beijing, ChinaYE ZHAO William Lyon Mackenzie C.I. North York, ONJACK ZHOU University of Toronto Schools Toronto, ONJONATHAN ZHOU Pinetree S.S. Coquitlam, BCJUN ZHOU Shenzhen College of Int’l Education Shenzhen, ChinaKEVIN ZHOU John Fraser S.S. Mississauga, ONLINDONG ZHOU Shenzhen College of Int’l Education Shenzhen, China

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2009 results fryer contest galois contest hypatia contest 2009

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