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

2006Results

Fryer Contest(Grade 9)

Galois Contest(Grade 10)

Hypatia Contest(Grade 11)

2006Resultats

Concours Fryer(9e annee – Sec. III)

Concours Galois(10e annee – Sec. IV)

Concours Hypatie(11e annee – Sec. V)

C.M.C. Sponsors:CharteredAccountants

Great West Lifeand London Life

Sybase

iAnywhere Solutions

C.M.C. Supporters:

Canadian Instituteof Actuaries

Maplesoft

c©2006Waterloo Mathematics Foundation

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 AucklandSteve BrownFiona DunbarJeff DunnettBarry FergusonJudy FoxSandy GrahamJudith KoellerJoanne KursikowskiAngie LapointeDean MurrayMatthew OliverLarry RiceLinda SchmidtKim SchnarrJim SchurterCarolyn SedoreIan VanderBurghTroy Vasiga

Problems Committee / Comite des problemes

Judith Koeller (Chair / president), University of Waterloo, Waterloo, ONPeter Crippin, Havergal College, Toronto, ONRad de Peiza, Toronto, ONBarry Ferguson, University of Waterloo, Waterloo, ONNerissa Coronel, St. Marguertie d’Youville Catholic S.S., Mississauga, ONAndre Ladouceur, Gloucester, ONPeter O’Hara, Glendale H.S., Tilsonburg, ON

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Comments on the Papers Commentaires sur les epreuves

Overall CommentsThe year 2006 marked the fourth writings of the Fryer, Galois and Hypatia Contests. The FGH Contests werecreated to give students in Grades 9, 10 and 11 an additional mathematical challenge during the school year, andone which requires full written solutions. Being able to do mathematics is an important life skill; being able tocommunicate one’s findings is also very imiportant. We were pleased this year to see an increase in the number ofparticipants in these Contests, and strong enrollments from many parts of the country. In general, the studentswriting these Contests are doing a good job of writing clear solutions to the problems. It was interesting to noticethe effect of the the phrase “Explain your answer” and its variations on the solutions to this year’s Contests.Problems containing this phrase in their text in general had good explanations; problems not containing thisphrase had very little explanation in general, despite the initial instructions at the beginning of the Contests toalways give explanation. Creating the final wording on these Contests is a difficult task, and we will continue totry to improve the clarity of the finished product. The averages on the Fryer, Galois and Hypatia Contests thisyear were 26.7, 22.7 and 20.8, respectively. We will continue to try to keep the averages on these papers in thisrange. Here are some specific comments on the problems on these papers.

Fryer Contest

1. Average: 9.4In Problem 1, students were very successful in calculating the necessary marks. Some students gave a briefexplanation of their computations, but many simply wrote down the calculations without explanation.

2. Average: 6.9Despite our best efforts at wording this problem, there were many different interpretations throughout thedifferent parts. Our markers did their best to give credit to reasonable interpretations. In (c), the intentionwas to orient each die independently within the pyramid structure to maximize the sum of the numbers onall of the exposed faces within this structure. Many tried to maximize the sum of exposed faces by creatingtheir own structure, sometimes placing the cubes far apart on a glass table or hanging from fishing wire.

3. Average: 6.4Problem 3 was well handled. Common errors included setting up the Pythagorean Theorem backwards(obtaining, for example, OP 2 = 102 + 62) or assuming that AB = 10. Students who carried these errorsthrough correctly still obtained the majority of the available marks. In (c), many students had the insight todissect the two smaller trapezoids into 5 and 7 small triangles respectively, but did not give much justificationas to why these triangles were congruent and thus had the same area.

4. Average: 4.0As has become standard on the Fryer, Galois and Hypatia papers, this Problem 4 started out with a relativelystraightforward part and then became much more difficult quite quickly. In (a), most students had goodsuccess, with some students double-counting 77 or reporting the number of integers that do contain 7 (insteadof the number that do not). In (b), many multiplied their answer from (a) by 20, forgetting to account forthose integers in the 700s and 1700s. In (c), many misread the problem and tried to count the number ofsuch integers (which would have been a fairly straightforward extension of (b)) instead of adding them up.There were some good attempts to calculate this sum, though. Common errors among those who attemptedthis were trying to pair the integers up (highest with lowest etc., which does not work as the sequence ofintegers is unbalanced with the absence of all those integers not containing 7), or adding up one group (saythose from 1 to 100) and then multiplying this total by 20 (which does not account for the difference in sumsbetween groups).

Galois Contest

1. Average: 7.5Problem 1 was well done. In (a) and (c), generally the calculation and explanation were both clear. In (b),quite a few students missed the phrase “one more” and listed all of the triples for Amelie so that her total

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Comments on the Papers Commentaires sur les epreuves

was more than (not one more than) Bob’s. In (d), most students got the answer n = 8, but quite a few didnot show that Bob and Amelie could actually get the same total. (This had to be done because, despitethe fact that the slips of paper could be split into two groups of equal size, there is no guarantee that equaltotals can be found, since they could not be found for n = 6.)

2. Average: 7.9Almost every student attempted this problem, which ended up being a good demonstration of the success ofthe phrase “Explain how you got your answer”. A large proportion of students used decimal approximationsfor their answers, which ranged all of the way from some students rounding their answers to integers, to ninedecimal places of accuracy. Some students did give exact answers (that is, involving square roots); thesepapers were certainly easier to mark.

3. Average: 5.0In (a), almost all students successfully found the equation of the line. In (b), many students picked themidpoint of AB (which does not in fact lie on the line). Others tried some sort of trial-and-error procedureto find (in some cases) or not find (in others where students assumed the point must have integer coordinates)the required point. The simplest approach was to assume that the coordinates of the point had the form(a, a) and substitute this into the equation of the line. In (c), most of the students who were successfularrived at and then solve the system of equations xy = 30 and y = −2x + 16.

4. Average: 2.3In (a), most students were successful in making a list of the required two-digit integers, but there was verylittle attempt to justify that all such integers had been found. Being successful at (b) and (c) requiredsome careful reading, a good deal of thought to understand the problems, likely some trial-and-error to sortthrough some of the details, and some strong algebraic skills to tie all of this together. We were pleased tosee a few students successfully tackle these last parts.

Hypatia Contest

1. Average: 6.5In general, students found this problem more difficult than we had anticipated. The best approach was toformally or informally use the form 2n − 1 for the nth odd integer and use the fact that the last integer inthe kth is the 1 + 2 + 3 + · · ·+ (k − 1) + k = 1

2k(k − 1)th odd integer. The marking of this problem did notinsist on much explanation. There were some interesting facts that appeared in this pattern, including thatthe middle integer in odd-numbered rows was a perfect square.

2. Average: 8.5This problem was quite well done. Those who used decimal approximations and rounded their answers off atearly stages of the problem tended to introduce inaccuracies that built up through the problem; these wereavoided by those who left their answers in exact form.

3. Average: 4.4Most students had good success at finding the equation of the line in (a). In (b), a common approach tofinding the correct point was using the perpendicular bisector of OQ. Not many students made it throughthe more complicated algebra of (c). In general, students’ training in analytic geometry tended to give thema good template for setting up and writing out their solutions here.

4. Average 1.4This problem was quite difficult and only had a handful of students had much success on the later parts.However, (a) and (c) generated some success. The intention of the first parts was to lead students throughto the pieces of information necessary to tackle (d).

Please visit our website at www.cemc.uwaterloo.ca to download the 2006 Fryer, Galois and HypatiaContests, plus full solutions.

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Comments on the Papers Commentaires sur les epreuves

Commentaires generauxL’annee 2006 a marque le quatrieme Concours Fryer, Galois et Hypatie. Les Concours FGH ont ete crees pourdonner aux etudiants de 9e, 10e et 11e (sec. III, IV et V) un defi mathematique supplementaire pendant l’anneescolaire qui exige des solutions ecrites completes. Etre capable d’effectuer des mathematiques est une competencede vie importante et pouvoir communiquer la conclusion est aussi important. Nous avons eu le plaisir cette annee devoir une augmentation dans le nombre de participants dans ces concours et des inscriptions nombreuses provenantde plusieurs parties du pays. En general, les etudiants qui participent a ces concours font un bon travail a ecriredes solutions claires aux problemes. Il etait interessant de remarquer cette annee l’effet de la phrase “Expliquezvotre reponse” et ses variations sur les solutions. Les problemes contenant cette phrase dans leur texte avaienten general de bonnes explications, mais les problemes ne contenant pas cette phrase avait, en general, tres peud’explication meme si les instructions initiales au debut du concours disaient de toujours donner une explication.Creer la formulation finale des phrases dans ces concours est une tache difficile et nous continuerons a essayerd’ameliorer la clarte du produit fini. Les moyennes des concours Fryer Galois et Hypatie cette annee etait de 26,8,22,8 et 20,9, respectivement. Nous continuerons a essayer de garder les moyennes des concours dans cette memegamme. Voici quelques commentaires specifiques sur les problemes de ces concours.

Concours Fryer

1. Moyenne: 9,4Dans le probleme 1, les etudiants ont tres bien reussis le calcul des notes necessaires. Quelques etudiants ontdonne une explication breve de leurs calculs, mais beaucoup ont note simplement les calculs sans explications.

2. Moyenne : 6,9Malgre nos efforts dans la formulation de ce probleme, il y avait beaucoup d’interpretations differentes atravers les differentes parties. Nos correcteurs ont fait de leur mieux a donner credit aux interpretationsraisonnables. Dans (c), l’intention etait d’orienter chaque de de maniere independante dans la structurede la pyramide pour maximiser la somme des nombres sur toutes les faces exposees dans cette structure.Beaucoup ont essaye de maximiser la somme de faces exposees en creant leur propre structure, placantparfois les cubes loin de l’un de l’autre sur une table de verre ou pendue avec du fil a peche.

3. Moyenne : 6,4Le probleme 3 a ete bien controle. Les erreurs communes incluaient l’etablissement de Theoreme de Pythagorea l’envers (obtenant, par exemple, OP 2 = 102 + 62) ou en supposant que AB = 10. Les etudiants qui ontporte ces erreurs correctement ont obtenu la majorite des points disponibles. Dans (c), beaucoup d’etudiantsont eu la perspicacite de dissequer les deux plus petits trapezes en 5 et 7 petits triangles, mais n’a pas donnela raison quant a pourquoi ces triangles etaient congrus et ainsi avait le meme secteur.

4. Moyenne : 4,0Comme il est devenu la norme dans le Concours Fryer, Galois et Hypatie, le probleme 4 commence avec unepartie relativement directe et ensuite devient rapidement beaucoup plus difficile. La plupart des etudiantsont reussi (a), avec quelques etudiants qui calculaient 77 deux fois ou reportaient des nombres entiers quicontiennent un 7 (au lieu des nombres qui ne contiennent pas de 7). Dans (b), beaucoup ont multiplie leurreponse de (a) par 20 oubliant d’expliquer les nombres entiers dans les 700 et 1700. Dans (c), beaucoupont mal lu le probleme et ont essaye de compter le total de tels entiers (une extension assez directe de (b))au lieu de les additionner. Il y avait, par contre, quelques bonnes tentatives de calculer cette somme. Leserreurs communes parmi ceux qui ont tente le probleme etaient de mettre les nombres entiers en couple (lesplus haut avec le plus bas etc., ce qui ne fonctionne pas parce que la sequence de nombres entiers est malequilibree avec l’absence de tous ces nombres entiers ne contenant pas un 7), ou en additionnant un groupe(comme ceux de 1 a 100) et en multipliant alors ce total par 20 (ce qui ne tient pas contre de la differencedes sommes entre les groupes).

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Comments on the Papers Commentaires sur les epreuves

Concours Galois

1. Moyenne : 7,5Le probleme 1 a ete bien reussi. En general, dans (a) et (c), le calcul et les explications etaient clairs. Dans(b), plusieurs etudiants ont manque la phrase “un de plus” et ont enumere tous les triples pour Amelie, cequi a entrane un total plus eleve que (pas un de plus que) Boris. Dans (d), la plupart des etudiants ontobtenu la reponse n = 8, mais plusieurs n’ont pas montre que Boris et Amelie pouvaient obtenir un totalidentique. (Ceci devait etre fait parce que, malgre le fait que les bout de papier pouvaient etre fractionneesdans deux groupes de taille egale, il n’y avait pas de garantie que les totaux egaux peuvent etre trouves,puisque ils ne pouvaient pas etre trouves pour n = 6.)

2. Moyenne : 7,9Presque chaque etudiant a tente ce probleme, qui etait une bonne demonstration du succes de la phrase “Ex-pliquer comment la reponse a ete obtenue”. Une grande proportion d’etudiants a utilise des approximationsdecimales pour leurs reponses et qui c’est etendu a donner un nombre entier arrondir jusqu’a neuf decimalesde precision. Quelques etudiants ont donne des reponses exactes (ceci, impliquant des racines carres); cesconcours etaient certainement plus facile a corriger.

3. Moyenne : 5,0Dans (a), presque tous les etudiants ont eu du succes avec l’equation de la droite. Dans (b), beaucoupd’etudiants ont choisi le milieu de AB (qui n’est pas situe sur la droite). Les autres ont essaye un procede dededuction d’erreur pour trouver (dans quelques cas) ou de ne pas trouve (dans d’autres ou les etudiants ontsuppose que le point doit avoir des coordonnees de nombres entiers) le point exige. L’approche la plus simpleetait de supposer que les coordonnees du point avaient la forme (a, a) et de substituer ceci dans l’equationde la droite. Dans (c), la plupart des etudiants qui ont reussi, ont trouve et ont ensuite resous le systemed’equations xy = 30 et y = −2x + 16.

4. Moyenne : 2,3Dans (a), la plupart des etudiants ont reussi a faire la liste de nombres entiers a deux chiffres exigee, mais ily avait tres peu de tentative de justifier que emphtous ses nombres entiers avaient ete trouves. Reussir (b)et (c) demandait une lecture attentive, de la reflexion afin de comprendre les problemes, probablement unprocede de deduction d’erreur pour certains des details, et quelques fortes competences algebriques pour lierle tout. Nous etions content de voir que quelques etudiants aient reussi a empoigner ces dernieres parties.

Concours Hypatie

1. Moyenne : 6,5Le general, les etudiants ont trouve ce probleme plus difficile que nous l’avions prevu. La meilleure approcheetait tout simplement d’utiliser formellement on informellement la forme 2n − 1 pour le ne nombre entierimpair et d’utiliser le fait que le dernier nombre entier est le ke est le 1+2+3+ · · ·+(k−1)+k = 1

2k(k−1)e

nombre entier impair. La correction de ce probleme ne demandait pas beaucoup d’explication. Il y avaitquelques faits interessants qui ont apparu dans cette suite, y compris le fait que le nombre entier au milieude tous les rangs impairs etait un carre parfait.

2. Moyenne : 8,5Ce probleme a ete tout a fait bien reussi. Ceux qui ont utilise des approximations decimales et ont arrondileurs reponses dans les premieres parties du probleme ont eu tendance a introduire des inexactitudes qui sesont accumulees dans le probleme. Ceci a ete evites par ceux qui ont laisse leurs reponses dans la formeexacte.

3. Moyenne : 4,4La plupart des etudiants ont eu du succes a trouver l’equation de la droite dans (a). Dans (b), une ap-proche commune pour trouver le bon point etait d’utiliser la bissectrice perpendiculaire OQ. Pas beaucoup

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Comments on the Papers Commentaires sur les epreuves

d’etudiants ont passe a travers l’algebre plus difficile de (c). En general, les etudiants entranes dans lageometrie analytique avaient un bon gabarit qui leur permettait d’etablir et d’ecrire leurs solutions.

4. Moyenne : 1,5Ce probleme etait tres difficile et seulement une poignee d’etudiants ont eu beaucoup de succes dans lesparties ulterieures. Cependant, (a) et (c) ont engendre du succes. L’intention des premieres parties etait demener les etudiants aux morceaux d’informations necessaires pour empoigner (d).

Veuillez visiter notre site Web a www.cemc.uwaterloo.ca pour telecharger les concours Fryer, Galoiset Hypatie 2006, avec solutions completes.

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Enrollment Inscription

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

Enrollment/Inscription

NL 67NS 193NB 160PE 17QC 420ON 8013MB 393SK 143AB 636BC 1529YT 6International 927

Total 12504

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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 11 2 538 34 9 737 75 19 1536 149 38 2535 281 71 4634 417 117 9633 568 201 15832 782 281 20931 1039 382 25930 1257 501 31529 1496 611 38328 1711 755 46327 1931 891 55426 2110 1036 65325 2290 1162 78124 2465 1316 91023 2614 1495 106422 2772 1695 121621 2891 1870 139020 3004 2054 153919 3111 2226 168418 3188 2364 182917 3280 2484 197416 3357 2597 213615 3436 2710 224714 3494 2806 237513 3532 2887 249512 3562 2964 257711 3599 3029 265310 3624 3074 27059 3642 3112 27568 3654 3135 27977 3663 3168 28296 3676 3187 28535 3688 3201 28724 3691 3212 28923 3694 3219 29112 3695 3224 29261 3696 3229 29380 3234 2943

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/EndroitNICHOLAS ADAMSKI MCKERNAN J.H.S. EDMONTON, ABSUZANNE AHN THORNHILL S.S. THORNHILL, ONEUN JI AN WEST VANCOUVER S.S. WEST VANCOUVER, BCKATHLEEN ANG QUEEN ELIZABETH H.S. CALGARY, ABLAJARI ANNE ICAE TROY, MIAYDA ASKARI MARC GARNEAU C.I. NORTH YORK, ONJASMIN ASTLE NACKAWIC H.S. NACKAWIC, NBCORY AUSTIN CRESCENT SCHOOL NORTH YORK, ONAOYU BAI WEST CARLETON S.S. DUNROBIN, ONROBERT BAI RICHVIEW C.I. ETOBICOKE, ONGERALDINE BANIQUED MATH TRAINERS GUILD PHILIPPINESGOLAM BAPPI VINCENT MASSEY S.S. WINDSOR, ONSOLOMON BARKLEY SEAWAY D. H.S. IROQUOIS, ONMURPHY BERZISH ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBVALERIE BEYNON BALMORAL HALL SCHOOL WINNIPEG, MBRAM BHASKAR ICAE TROY, MIDANIEL BIRCHARD ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBMELANIE BLAINEY ALL SAINTS C.S.S. WHITBY, ONROHIT BOLLINENI ICAE TROY, MIDISHA BORA ICAE TROY, MISAMUEL BOSTOCK E.S. ETIENNE-BRULE NORTH YORK, ONCOLIN BRENNAN ST. MATTHEW H.S. ORLEANS, ONKRYSLETTE BUNYI MATH TRAINERS GUILD PHILIPPINESDANNY CHAN MARC GARNEAU C.I. NORTH YORK, ONFLORENCE CHAN MARC GARNEAU C.I. NORTH YORK, ONFORSON CHAN ST. GEORGE’S SCHOOL VANCOUVER, BCPHILIP CHAN UPPER CANADA COLLEGE TORONTO, ONWESLEY CHAN ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBJACLYN CHANG JOHN WARE J.H.S. CALGARY, ABJENSEN CHANG CHINESE INTERNATIONAL SCHOOL HONG KONGDIPAYAN CHAUDHURI ST. FRANCIS XAVIER S.S. MISSISSAUGA, ONALVIN CHAUHAN WINDERMERE S.S. VANCOUVER, BCJONATHAN CHAYCHORCHEONG FATHER MICHAEL GOETZ S.S. MISSISSAUGA, ONMIHAI CHELARU CENTEA UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONAMALIE CHEN LONDON CENTRAL S.S. LONDON, ONFREDDY CHEN PINETREE S.S. COQUITLAM, BCJOY CHEN MCKERNAN J.H.S. EDMONTON, ABMICHAEL CHEN UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONMIMI CHEN ICAE TROY, MIMELVIN CHIEN HOLY TRINITY SCHOOL RICHMOND HILL, ONEVANNA CHIEW LITTLE FLOWER ACADEMY VANCOUVER, BCCAROLINE CHIN HAVERGAL COLLEGE NORTH YORK, ONSTEPHANIE CHIU FRANCIS LIBERMANN C.H.S. SCARBOROUGH, ONJEFFREY CHOI ST. GEORGE’S SCHOOL VANCOUVER, BCSAHIL CHOPRA MIDDLEFIELD C.I. MARKHAM, ONPATRICK CHOU WEST VANCOUVER S.S. WEST VANCOUVER, BCKAWTER CHOUGUI ACADEMIE IBN-SINA MONTREAL, QC

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Fryer – Gold Standard Palmares individuel – Fryer

Name/Nom School/Ecole Location/EndroitAMY CHOW BAYVIEW S.S.CHOOL RICHMOND HILL, ONDEREK CHOW F.E. OSBORNE H.S. CALGARY, ABEARL CHUA MATH TRAINERS GUILD PHILIPPINESNIKITA CONSUL ICAE TROY, MIJULIA CORY LORD BYNG S.S. VANCOUVER, BCLISA CRAIGEN ACADIA J.H.S. WINNIPEG, MBMATT DAALDER E.S. LA CITADELLE CORNWALL, ONAMINE DANANE ACADEMIE IBN-SINA MONTREAL, QCKEVIN DU HENRY KELSEY S.P.S. SCARBOROUGH, ONGABRIELLE DUGAS COLLEGE LAVAL LAVAL, QCMOLLY DUSHNICKY PORT ARTHUR C.I. THUNDER BAY, ONERVIN DY MATH TRAINERS GUILD PHILIPPINESHADI ELASSAAD ACADEMIE IBN-SINA MONTREAL, QCRIGEL ESPIRITU MATH TRAINERS GUILD PHILIPPINESDAVID FALLIS CONSTABLE NEIL BRUCE M.S. KELOWNA, BCJASON FLANNERY CRESCENT SCHOOL NORTH YORK, ONALEXANDRU FLOREA E.S. ST-LUC MONTREAL, QCKEVIN FRITZKE ABBOTSFORD TRADITIONAL S.S. ABBOTSFORD, BCHENRY FUNG GLENFOREST S.S. MISSISSAUGA, ONTALIA GLODJO BALMORAL HALL SCHOOL WINNIPEG, MBJORDAN GOODRIDGE ERINDALE S.S. MISSISSAUGA, ONALEXANDRA GOUBANOVA NEPEAN H.S. OTTAWA, ONVINCENT GOULET POLYVALENTE BENOIT-VACHON STE MARIE, QCCALVIN GREYSSON WONG EARL OF MARCH S.S. KANATA, ONJENNY GU UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONCHENGCHENG GUI ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBJOHN GUO JOHN WARE J.H.S. CALGARY, ABPRATEEK GUPTA PICKERING H.S. AJAX, ONNEIL GURRAM ICAE TROY, MIELAN HAHN BNEI AKIVA SCHOOL NORTH YORK, ONCONNIE HEO SEAQUAM S.S. DELTA, BCISAAC HO RICHMOND CHRISTIAN S.S. RICHMOND, BCJENNY HO MILLIKEN MILLS H.S. MARKHAM, ONKAREN HO CROFTON HOUSE SCHOOL VANCOUVER, BCKENNETH HO CHINESE INTERNATIONAL SCHOOL HONG KONGLOUIS HONG WATERLOO C.I. WATERLOO, ONSOFIA HOU LISGAR C.I. OTTAWA, ONJOY HU KITCHENER-WATERLOO C.V.I. KITCHENER, ONERIC HUANG ST. GEORGE’S SCHOOL VANCOUVER, BCJESSIE HUANG LONDON CENTRAL S.S. LONDON, ONCHUN HUI SIR JOHN A. MACDONALD C.I. SCARBOROUGH, ONSONJA ING HAVERGAL COLLEGE NORTH YORK, ONHISAYUKI IWASAKI CANADIAN INT’L SCHOOL SINGAPORERANDY JIA ICAE TROY, MISHENG JIANG ICAE TROY, MIMITCHELL JOHNSTON CRESCENT SCHOOL NORTH YORK, ONILIJA JOVANOVIC RICHVIEW C.I. ETOBICOKE, ONJUNO JUNG WALNUT GROVE S.S. LANGLEY, BCDANIEL KAHN C.H.A.T. (HEBREW ACADEMY) RICHMOND HILL, ONKATHERINE KANG MARC GARNEAU C.I. NORTH YORK, ONGOUTHAM KAPA ICAE TROY, MINATALIE KEMP BISHOP RYAN SCHOOL HAMILTON, ONCLARA KIM CHINESE INTERNATIONAL SCHOOL HONG KONGEUI SUK KIM ST. MICHAEL’S COLLEGE SCHOOL TORONTO, ONHYUNGJIN KIM WALTER MURRAY C.I. SASKATOON, SKJI HO KIM LORNE PARK S.S. MISSISSAUGA, ON

11

Fryer – Gold Standard Palmares individuel – Fryer

Name/Nom School/Ecole Location/EndroitNAMHUN KIM ICAE TROY, MIPETER KIM FLEETWOOD PARK S.S. SURREY, BCSOPHIA KIM PINETREE S.S. COQUITLAM, BCURIAN KIM WEST VANCOUVER S.S. WEST VANCOUVER, BCCONNOR KJERSTEEN QUEEN ELIZABETH H.S. CALGARY, ABBOGDAN KNEZEVIC THE WOODLANDS SCHOOL MISSISSAUGA, ONKATHERINE KOUZMINA HUMBERSIDE C.I. TORONTO, ONDEEPTHI KRISHNA ICAE TROY, MIMITHUM KULARATNE WALTER MURRAY C.I. SASKATOON, SKGAURAV KULKARNI ICAE TROY, MIHENRY KWON BLUEVALE C.I. WATERLOO, ONKEIMING KWONG MARKHAM D.H.S. MARKHAM, ONAMY LAM EAST YORK C.I. EAST YORK, ONEVAN LAO MATH TRAINERS GUILD PHILIPPINESARNOLD LAU MATH TRAINERS GUILD PHILIPPINESKEVIN LAU SIR WINSTON CHURCHILL S.S. VANCOUVER, BCJOSEIENRIC LECETA MATH TRAINERS GUILD PHILIPPINESANDY LEE UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONCHRIS LEE PINETREE S.S. COQUITLAM, BCHEAEUN LEE KING’S-EDGEHILL SCHOOL WINDSOR, NSJAEHOON LEE SIR WINSTON CHURCHILL S.S. VANCOUVER, BCMICHAELA LEE HAWTHORN SCHOOL FOR GIRLS NORTH YORK, ONMINWOOK LEE MARC GARNEAU C.I. NORTH YORK, ONKRISTEL LEUNG NORTH SURREY S.S. SURREY, BCDANIEL LEWIS THE HALIFAX GRAMMAR SCHOOL HALIFAX, NSJOHANNA LEWIS MARC GARNEAU C.I. NORTH YORK, ONFANGDA LI THORNHILL S.S. THORNHILL, ONJERRY LI DON MILLS C.I. NORTH YORK, ONJIANG LI UPPER CANADA COLLEGE TORONTO, ONMINGYUAN LI SIR JOHN A. MACDONALD C.I. SCARBOROUGH, ONSHERRY LI MARC GARNEAU C.I. NORTH YORK, ONVICTOR LI WALTER MURRAY C.I. SASKATOON, SKROB LIDDELL MARKVILLE S.S. MARKHAM, ONKEVIN LIM WILLIAM LYON MACKENZIE C.I. NORTH YORK, ONHONGWEI LIU LISGAR C.I. OTTAWA, ONSONIA LIU EASTWOOD C.I. KITCHENER, ONELLEN LLOYD JOHN WARE J.H.S. CALGARY, ABKEVAN LU RICHMOND HILL H.S. RICHMOND HILL, ONNIKLAS LUBCZYNSKI WATERLOO C.I. WATERLOO, ONCINDY LYNN GLEBE C.I. OTTAWA, ONJUDITH MA UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONSIMON MAAS ST. GEORGE’S SCHOOL VANCOUVER, BCFIONA MACLEOD KINGSTON C.V.I. KINGSTON, ONTORREY MACTAVISH ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBKAYLA MAC.V.I.CAR ST. JOAN OF ARC H.S. BARRIE, ONCHANUKYA MALLA ICAE TROY, MISIMON MARSELLO CRESCENT SCHOOL NORTH YORK, ONJASON MARTIN W.F. HERMAN S. S. WINDSOR, ONGOLSHAN MASSAH WEST VANCOUVER S.S. WEST VANCOUVER, BCJUSTIN MCDONALD PRESTON H.S. CAMBRIDGE, ONMEGHAN MIHOLICS DELTA S. S. HAMILTON, ONDANIEL MISIEWICZ PICKERING H.S. AJAX, ONSUDHARSHAN MOHANRAM ICAE TROY, MIARMON MOLAVI WALTER MURRAY C.I. SASKATOON, SKCRAIG MOORE KENILWORTH J.H.S. EDMONTON, ABALEXANDER MORASH FREDERICTON H.S. FREDERICTON, NB

12

Fryer – Gold Standard Palmares individuel – Fryer

Name/Nom School/Ecole Location/EndroitPRANAV MOUDGIL ICAE TROY, MITARA MUNIKAR ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBTY MUNSTERMAN KENILWORTH J.H.S. EDMONTON, ABTED MURPHY THE HALIFAX GRAMMAR SCHOOL HALIFAX, NSMARYNA MUZYCHENKO MCKERNAN J.H.S. EDMONTON, ABSURYA NAGARAJA ICAE TROY, MIJANANI NAIDU ICAE TROY, MIJEFFREY NEGREA NORTHERN S.S. TORONTO, ONALEX NG DAVID THOMPSON S.S. VANCOUVER, BCALVIN NG CRESCENT SCHOOL NORTH YORK, ONGARRY NG VICTORIA PARK C.I. NORTH YORK, ONTREVOR NG ERIC HAMBER S.S. VANCOUVER, BCBRADEN NGUYEN ERINDALE S.S. MISSISSAUGA, ONBRYAN NGUYEN LOWER CANADA COLLEGE MONTREAL, QCJAKE NIELSEN JACOB HESPELER S.S. CAMBRIDGE, ONKEIFER O CONNOR ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBKATELYN O GORMAN ST. JOSEPH’S H.S. BARRIE, ONREGINA PAZ ONGLAO MATH TRAINERS GUILD PHILIPPINESPETER ORIELLY ST. GABRIEL’S ALL GRADE SCHOOL ST BRENDANS, NLCHRISTINE OUELLETTE COLLEGE LAVAL LAVAL, QCAVERY OZBURN HAVERGAL COLLEGE NORTH YORK, ONHOWARD PANG ST. FRANCIS XAVIER S.S. MISSISSAUGA, ONTONG PANG E.S. ST-LUC MONTREAL, QCANGELA PARK SIR JOHN A. MACDONALD S.S. WATERLOO, ONJASON PARK EARL MARRIOTT S.S. SURREY, BCJEAN PARK APPLEWOOD HEIGHTS S.S. MISSISSAUGA, ONSOPHIA PARK VINCENT MASSEY S.S. WINDSOR, ONANTHONY PAYNE PASADENA ACADEMY PASADENA, NLSTARRY PENG ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBCASSY POSTMA BEAMSVILLE D. S. S.. BEAMSVILLE, ONNICHOLAS PUN ST. GEORGE’S SCHOOL VANCOUVER, BCISOBEL REDELMEIER ST. CLEMENT’S SCHOOL TORONTO, ONGWEN RICKERBY SEAQUAM S.S. DELTA, BCRICCI RYAN ROJO MATH TRAINERS GUILD PHILIPPINESJEREMY ROMAN SIR JOHN A. MACDONALD S.S. WATERLOO, ONSTEPHANIE SAAVEDRA MATH TRAINERS GUILD PHILIPPINESKASRA SAFAVI NAEINI WATERLOO C.I. WATERLOO, ONMARIYA SARDARLI MCKERNAN J.H.S. EDMONTON, ABDUSAN SARENAC SIR JOHN A. MACDONALD S.S. WATERLOO, ONSEBASTIAN SCHWEIGERT UPPER CANADA COLLEGE TORONTO, ONSHAHRIAR SEDDIGH WEST VANCOUVER S.S. WEST VANCOUVER, BCARESH SEPEHRI ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBCHRISTIAN SGRO ST. MICHAEL’S COLLEGE SCHOOL TORONTO, ONABISHEK SHANMUGARAJAH UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONMARIA SHAO STEPHEN LEACOCK C.I. SCARBOROUGH, ONSHAHEEN SHEIKH ICAE TROY, MIALLEN SHEN ICAE TROY, MIMARK SHEN MARC GARNEAU C.I. NORTH YORK, ONHUNNA SHIN ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBERWIN SIRBU VICTORIA PARK C.I. NORTH YORK, ONNORMAN SIU TEMPLETON S.S. VANCOUVER, BCKRUSAN SIVANAYAGAM WILLIAM LYON MACKENZIE C.I. NORTH YORK, ONELAINE SLOBODA WATERLOO C.I. WATERLOO, ONNATHAN SMITH LEAMINGTON D.S.S. LEAMINGTON, ONIGSUNG SO ST. MICHAEL’S COLLEGE SCHOOL TORONTO, ONALEX SOKOLOV WILLIAM LYON MACKENZIE C.I. NORTH YORK, ON

13

Fryer – Gold Standard Palmares individuel – Fryer

Name/Nom School/Ecole Location/EndroitROBERT SOUTER NEPEAN H.S. OTTAWA, ONROBERT ST ONGE COLONEL BY S. S. GLOUCESTER, ONROBERT STURROCK LORD BYNG S.S. VANCOUVER, BCJEWOO SUN MEADOWRIDGE SCHOOL MAPLE RIDGE, BCLUKE SWANSON SILVER HEIGHTS C. I. WINNIPEG, MBDANN TAN MATH TRAINERS GUILD PHILIPPINESNIKKI TAN SOUTHRIDGE SCHOOL SURREY, BCTANYA TANG SIR WINSTON CHURCHILL S.S. VANCOUVER, BCMARQUIS TANN MATH TRAINERS GUILD PHILIPPINESDMITRI TCHEBOTAREV NORTHERN S.S. TORONTO, ONELSIE TRANMER ST. PATRICK H.S. THUNDER BAY, ONAMANDA TU SOUTHRIDGE SCHOOL SURREY, BCNATHANAEL TUNG BURNABY SOUTH S.S. BURNABY, BCNICOLE VAGLE STELLY’S SCHOOL SAANICHTON, BCMATTHEW VENGALIL ICAE TROY, MIANDREW VOVK A.B. LUCAS S.S. LONDON, ONSTELLA VUONG TEMPLETON S.S. VANCOUVER, BCASHLEY WADSON ST. PATRICK H.S. THUNDER BAY, ONDAVID WAENINK RIDEAU D.H.S. ELGIN, ONAMANDA WANG SENTINEL S.S. WEST VANCOUVER, BCANDREW WANG VINCENT MASSEY S.S. WINDSOR, ONFRANCES WANG ALBERT CAMPBELL C.I. SCARBOROUGH, ONKEDI WANG ACADIA J.H.S. WINNIPEG, MBLINDA WANG BURNABY SOUTH S.S. BURNABY, BCLINDA WANG MAGEE S.S.CHOOL VANCOUVER, BCTINA WANG PINETREE S.S. COQUITLAM, BCSELENA WANG THOMAS CHINESE INTERNATIONAL SCHOOL HONG KONGCOLIN WEAVER QUEEN ELIZABETH H.S. CALGARY, ABMICHAEL WEE PORT MOODY S.S.S. PORT MOODY, BCNISSI WEI MARKHAM D.H.S. MARKHAM, ONLUCIE WENG CENTENNIAL REG. H.S. GREENFIELD PARK, QCTZIPPORAH WITTY BNEI AKIVA SCHOOL NORTH YORK, ONGABRIEL WONG ST. GEORGE’S SCHOOL VANCOUVER, BCANGELA WU NORTHVIEW HEIGHTS S.S. NORTH YORK, ONJASON WU LORNE PARK S.S. MISSISSAUGA, ONKEVIN WU ICAE TROY, MIAKSHAR WUNNAVA ICAE TROY, MIMENGCHEN XI COLONEL BY S. S. GLOUCESTER, ONBILL XIA MCKERNAN J.H.S. EDMONTON, ABEMILY XIA MAGEE S.S.CHOOL VANCOUVER, BCKEFAN XIE NORTHVIEW HEIGHTS S.S. NORTH YORK, ONCATHERINE XU FREDERICTON H.S. FREDERICTON, NBMARK XU ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBTINA XU CROFTON HOUSE SCHOOL VANCOUVER, BCJONATHAN YACH WATERLOO C.I. WATERLOO, ONHAN YAN UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONNATHAN YAN TEMPLETON S.S. VANCOUVER, BCALBERT YANG BAYVIEW S.S.CHOOL RICHMOND HILL, ONKARREN YANG HENRY KELSEY S.P.S. SCARBOROUGH, ONZEYA YANG COLONEL BY S. S. GLOUCESTER, ONSIMON YIN O’NEILL C.V.I. OSHAWA, ONERICA YOON RICHMOND HILL H.S. RICHMOND HILL, ONAMY YU PINETREE S.S. COQUITLAM, BCOMAR ZGHAL VINCENT MASSEY S.S. WINDSOR, ONEDWARD ZHANG LISGAR C.I. OTTAWA, ONHANS ZHANG GLENFOREST S.S. MISSISSAUGA, ON

14

Fryer – Gold Standard Palmares individuel – Fryer

Name/Nom School/Ecole Location/EndroitROGER ZHANG SIR WINSTON CHURCHILL S.S. VANCOUVER, BCLUTHER ZHAO ST. GEORGE’S SCHOOL VANCOUVER, BCRITCHIE ZHAO MARC GARNEAU C.I. NORTH YORK, ONXINGYU ZHOU GREYSTONE HEIGHTS SASKATOON, SKHENRY ZHU TEMPLETON S.S. VANCOUVER, BCMIKE ZHU WOODBINE J.H.S. NORTH YORK, ONYANGA ZHU PORT MOODY S.S.S. PORT MOODY, BCZIMU ZHU RICHMOND HILL H.S. RICHMOND HILL, ONSHAWN ZIAI ALL SAINTS C.H.S. KANATA, ON

15

Galois – Gold Standard Palmares individuel – Galois

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/EndroitREZA ABASI VICTORIA PARK C.I. NORTH YORK, ONPACO ADAJAR MATH TRAINERS GUILD PHILIPPINESRYAN AHN WILLIAM LYON MACKENZIE C.I. NORTH YORK, ONEVAN ALDERSON LEAMINGTON D.S.S. LEAMINGTON, ONYOUNG HA AN THE HALIFAX GRAMMAR SCHOOL HALIFAX, NSGABRIELLE ASCAH E.S. ST-LUC MONTREAL, QCDUSTIN AU FRONTENAC S.S. KINGSTON, ONEHSANEHSAN AZARMSA YOUNG MATHEMATICIAN ASSOCIATION TEHRAN, IRANMICHAEL BABINSKY COLLEGE LAVAL LAVAL, QCYAZDAN BAHRAMNESBAT YOUNG MATHEMATICIAN ASSOCIATION TEHRAN, IRANJIXIN BAO FOREST HILL C.I. TORONTO, ONCALLUM BUTTERWORTH KITCHENER-WATERLOO C.V.I. KITCHENER, ONHAN BO CAO DR. NORMAN BETHUNE C.I. SCARBOROUGH, ONTAYLOR CAO ALBERT CAMPBELL C.I. SCARBOROUGH, ONHAN CHANG HAO BEIJING CONCORD COLLEGE OF SINO-CANADA BEIJING, CHINAGU CHAO NORTHERN S.S. TORONTO, ONROSS CHAUDHRY WESTMOUNT CHARTER SCHOOL CALGARY, ABHENRY CHEN HENRY WISE WOOD S.H.S CALGARY, ABJENNY CHEN DON MILLS C.I. NORTH YORK, ONPHILIP CHEN GLENFOREST S.S. MISSISSAUGA, ONSUHHYUN CHOE T.A. BLAKELOCK H.S. OAKVILLE, ONAARON CHOI CRESCENT SCHOOL NORTH YORK, ONFRANCHESCA CHOI MATH TRAINERS GUILD PHILIPPINESMIKE CHOI CHINESE INTERNATIONAL SCHOOL HONG KONGMINWOO CHOI NEWMARKET H.S. NEWMARKET, ONJORDAN CHUNG ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBTING CONG WESTERN CANADA H.S. CALGARY, ABBETH CROTEAU CROFTON HOUSE SCHOOL VANCOUVER, BCNICHOLAS CUBBON CHINESE INTERNATIONAL SCHOOL HONG KONGBOCHENG CUI SEMIAHMOO S.S. SURREY, BCFIONA CUI PORT MOODY S.S.S. PORT MOODY, BCVINCENT DAGENAIS COLLEGE LAVAL LAVAL, QCMARK DAWIDEK LONDON CENTRAL S.S. LONDON, ONQIN DENG MARC GARNEAU C.I. NORTH YORK, ONIAN DIMAANDAL MATH TRAINERS GUILD PHILIPPINESJONATHAN DING MARC GARNEAU C.I. NORTH YORK, ONJOHN DONG LANGSTAFF S.S. RICHMOND HILL, ONHANK DUAN PINETREE S.S. COQUITLAM, BCARAM EBTEKAR PORT MOODY S.S.S. PORT MOODY, BCALP ELDEM USKUDAR AMERICAN ACADEMY ISTANBUL, TURKEYJONATHAN ERLICHMAN UPPER CANADA COLLEGE TORONTO, ONJASON FAN BURNABY CENTRAL S.S. BURNABY, BCAMY FARROW KINGSTON C.V.I. KINGSTON, ONFARNAZ FARZAM YOUNG MATHEMATICIAN ASSOCIATION TEHRAN, IRANRACHEL FELDMAN NORTHERN S.S. TORONTO, ONRUI FENG DR. NORMAN BETHUNE C.I. SCARBOROUGH, ONJULIAN FILICE WESTMOUNT S.S. HAMILTON, ON

16

Galois – Gold Standard Palmares individuel – Galois

Name/Nom School/Ecole Location/EndroitJEFF GAO LISGAR C.I. OTTAWA, ONCAN GENCLER USKUDAR AMERICAN ACADEMY ISTANBUL, TURKEYMIREILLE GERMAIN COLLEGE LAVAL LAVAL, QCADAM GOSSELIN KINGSTON C.V.I. KINGSTON, ONYUEYANG GUAN SINCLAIR S.S. WHITBY, ONGURU GURUGANESH WOBURN C.I. SCARBOROUGH, ONAUSTIN HA UPPER CANADA COLLEGE TORONTO, ONADAM HALSKI KUWAIT ENGLISH SCHOOL SALMIYA, KUWAITCLAIR HAN MARC GARNEAU C.I. NORTH YORK, ONSOLA HAN BALMORAL HALL SCHOOL WINNIPEG, MBJAMES HARGROVE GRENVILLE CHRISTIAN COLLEGE BROCKVILLE, ONMATTHEW HARRISONTRAINO MARC GARNEAU C.I. NORTH YORK, ONVINCENT HERBERT COLLEGE LAVAL LAVAL, QCDYLAN HOARE INNISDALE S.S. BARRIE, ONJENNY HSUEH SEAQUAM S.S. DELTA, BCALAN HUANG ICAE TROY, MIVIVIAN HUI UNIONVILLE H.S. MARKHAM, ONLAILA HULBERT HAWTHORN SCHOOL FOR GIRLS NORTH YORK, ONSESONG JANG CROFTON HOUSE SCHOOL VANCOUVER, BCJENNIFER JEON ABBOTSFORD TRADITIONAL S.S. ABBOTSFORD, BCYONGSUK JEON LANGSTAFF S.S. RICHMOND HILL, ONERIC JIA E UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONZHANG JIAJUN BEIJING CONCORD COLLEGE OF SINO-CANADA BEIJING, CHINALOUIE JIANG WATERLOO C.I. WATERLOO, ONYANGZI JIANG WATERLOO C.I. WATERLOO, ONRHIANNON JOHNS SIR JAMES DUNN C.V.S. SAULT STE. MARIE, ONHEEWOO JUN HERITAGE WOODS S.S. PORT MOODY, BCGAUTAM KAMATH WESTDALE S.S. HAMILTON, ONVLADIMIR KANEV E.S. ST-LUC MONTREAL, QCPAUL KANG CANADIAN INT’L SCHOOL OF HONG KONG HONG KONGTIMOTHY KATO WEST VANCOUVER S.S. WEST VANCOUVER, BCNARAYANAN KIDAMBI DON MILLS C.I. NORTH YORK, ONDAVID KIM EARL HAIG S.S. NORTH YORK, ONJAYMIN KIM ROBERT BATEMAN H.S. BURLINGTON, ONSTEPHEN KOH MATH TRAINERS GUILD PHILIPPINESARTHI KRISHNA ICAE TROY, MIVANESSA KUSTEC KUPER ACADEMY KIRKLAND, QCSHELDON KWOK CRESCENT SCHOOL NORTH YORK, ONDANIEL LAM UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONDANIEL LEE CRESCENT SCHOOL NORTH YORK, ONJONGWOO LEE QUEEN ELIZABETH REG. H.S. FOXTRAP, NLCHENGBO LI EARL HAIG S.S. NORTH YORK, ONDANCY LI FRONTENAC S.S. KINGSTON, ONRAN LI E.S. HONORE-MERCIER MONTREAL, QCTAN LI DAVID THOMPSON S.S. VANCOUVER, BCYAN LI DR. NORMAN BETHUNE C.I. SCARBOROUGH, ONYIFAN LI VINCENT MASSEY S.S. WINDSOR, ONALEX LIANG DR. NORMAN BETHUNE C.I. SCARBOROUGH, ONJOHN LIU DON MILLS C.I. NORTH YORK, ONWILLIAM LIU SIR JOHN A. MACDONALD C.I. SCARBOROUGH, ONMARK LIVSCHITZ UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONWENJUAN LU VINCENT MASSEY S.S. WINDSOR, ONBENSON LUNG MARC GARNEAU C.I. NORTH YORK, ONBORIS MADZAR VINCENT MASSEY S.S. WINDSOR, ONMICHAEL MALOON WEST VANCOUVER S.S. WEST VANCOUVER, BCADRIAN MARAJ PRESENTATION COLLEGE TRINIDAD

17

Galois – Gold Standard Palmares individuel – Galois

Name/Nom School/Ecole Location/EndroitKIRSTEN MARSHALL ST. FRANCIS H.S. CALGARY, ABSHRAVANI MIKKILINENI ICAE TROY, MIBRIDGET MILLS NORTHERN S.S. TORONTO, ONCRISTINA MITRIC E.S. ST-LUC MONTREAL, QCMAHTAB MODABER YOUNG MATHEMATICIAN ASSOCIATION TEHRAN, IRANHANYEH MOHAMMADZADEH YOUNG MATHEMATICIAN ASSOCIATION TEHRAN, IRANPHILIP MORIN ST. FRANCIS H.S. CALGARY, ABAMANDA MURDOCH LONDON CENTRAL S.S. LONDON, ONSEUNG NAM ST. GEORGE’S SCHOOL VANCOUVER, BCTOBIT NARCISO MATH TRAINERS GUILD PHILIPPINESANDREA NG BRANKSOME HALL SCHOOL TORONTO, ONKEITH NG ST. FRANCIS XAVIER S.S. MISSISSAUGA, ONTHANH NGUYEN GLENFOREST S.S. MISSISSAUGA, ONWENDY NIE FREDERICTON H.S. FREDERICTON, NBJESSIE NING DON MILLS C.I. NORTH YORK, ONNAVID NOURIAN HENRY WISE WOOD S.H.S CALGARY, ABJUNTAEK OH ST. GEORGE’S SCHOOL VANCOUVER, BCSTEPHANIE OLIVEROS MATH TRAINERS GUILD PHILIPPINESMAYSUM PANJU RICHMOND HILL H.S. RICHMOND HILL, ONJVANEEL PAREKH JERUDONG INT’L SCHOOL BRUNEIJASON PARK PORT MOODY S.S.S. PORT MOODY, BCDANIEL PIAO HENRY WISE WOOD S.H.S CALGARY, ABPRASHIL PRADEEP ICAE TROY, MIALI PUNJANI MARC GARNEAU C.I. NORTH YORK, ONMIKE QIU SIR JOHN A. MACDONALD C.I. SCARBOROUGH, ONSTEVEN ROLLER DAVID THOMPSON S.S. VANCOUVER, BCZHU RUO YU BEIJING CONCORD COLLEGE OF SINO-CANADA BEIJING, CHINAADITYA SATHI ICAE TROY, MICALVIN SEO ST. ANDREW’S COLLEGE AURORA, ONJUYING SHANG VINCENT MASSEY S.S. WINDSOR, ONKRITHIKA SHANMUGASUNDAR ICAE TROY, MIMICHAEL SHANTZ COLONEL BY S. S. GLOUCESTER, ONMOHAMMAD SHARIATMADAR YOUNG MATHEMATICIAN ASSOCIATION TEHRAN, IRANCHELSEA SHIN YORK MILLS C.I. NORTH YORK, ONMATTHEW SIGURDSON ST. JOHN’S-RAVENSCOURT SCHOOL WINNIPEG, MBJOMO VITTO SIMBUL MATH TRAINERS GUILD PHILIPPINESLENA SONG VICTORIA PARK C.I. NORTH YORK, ONNIROASHAN SRIKUMARAN MARC GARNEAU C.I. NORTH YORK, ONDONGYU SU HUAMEI-BOND INT’L SCHOOL GUANGZHOU, CHINAJOHN SUN LORD BYNG S.S. VANCOUVER, BCPEI SUN VINCENT MASSEY S.S. WINDSOR, ONQINGWEN TANG VINCENT MASSEY S.S. WINDSOR, ONDMITRI TCHIGVINTSEV NORTHERN S.S. TORONTO, ONEZRA JOY TEMPLONUEVO MATH TRAINERS GUILD PHILIPPINESRICHARD TIAN SIR WILLIAM MULOCK S.S. NEWMARKET, ONMARYAM TORABIOSKOEI YOUNG MATHEMATICIAN ASSOCIATION TEHRAN, IRANNIKKY N TSAI ST. GEORGE’S SCHOOL VANCOUVER, BCNICOLE VELTRI ST. FRANCIS H.S. CALGARY, ABKERISH VILLEGAS MATH TRAINERS GUILD PHILIPPINESSEBASTIEN VUONG COLLEGE LAVAL LAVAL, QCCAROLINE WAGNER LOWER CANADA COLLEGE MONTREAL, QCANNIE WALLACE HAVERGAL COLLEGE NORTH YORK, ONANGELA WANG FORT RICHMOND C.I. WINNIPEG, MBCATHERINE WANG SIR WINSTON CHURCHILL S.S. VANCOUVER, BCDAVID WANG FREDERICTON H.S. FREDERICTON, NBGUAN WANG SEMIAHMOO S.S. SURREY, BC

18

Galois – Gold Standard Palmares individuel – Galois

Name/Nom School/Ecole Location/EndroitSHAWN WANG WATERLOO C.I. WATERLOO, ONWENDY WEN UNIONVILLE H.S. MARKHAM, ONRYAN WHITSIDE CRESCENT SCHOOL NORTH YORK, ONMURRAY WILSON LOCKERBY COMPOSITE SCHOOL SUDBURY, ONCECILLIA WONG UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONJENNIFER WONG MARKVILLE S.S. MARKHAM, ONJENNY WONG MARKHAM D.H.S. MARKHAM, ONJACK WU ALBERT CAMPBELL C.I. SCARBOROUGH, ONSHENGYI WU LORD TWEEDSMUIR S.S.S. SURREY, BCYI WU SIR JOHN A. MACDONALD C.I. SCARBOROUGH, ONZEXI WU APPLEWOOD HEIGHTS S.S. MISSISSAUGA, ONJACK XIE JARVIS C.I. TORONTO, ONALEXANDER YAHOLNITSKY SACRED HEART H.S. YORKTON, SKMARK YANG PRINCE OF WALES C.I. ST JOHN’S, NLMENG JIA YANG FLEETWOOD PARK S.S. SURREY, BCTIANQING YANG LISGAR C.I. OTTAWA, ONVICK YAO VINCENT MASSEY S.S. WINDSOR, ONCOREY YEDNOROZ VINCENT MASSEY S.S. WINDSOR, ONJAEWOO YEON CANADIAN INT’L SCHOOL SINGAPOREVERONICA YEUNG UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONJOHN YOON FREDERICTON H.S. FREDERICTON, NBNAM JIN YOON UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONANTHONY YU UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONLEO YUAN THE WOODLANDS SCHOOL MISSISSAUGA, ONJASON YUNG ST. FRANCIS XAVIER S.S. MISSISSAUGA, ONBEN YUAN ZHANG ALBERT CAMPBELL C.I. SCARBOROUGH, ONCHARLES ZHANG ICAE TROY, MIHANPEI ZHANG SIR WINSTON CHURCHILL S.S. VANCOUVER, BCJOANNA ZHANG VINCENT MASSEY S.S. WINDSOR, ONJONATHAN ZHANG BURNABY SOUTH S.S. BURNABY, BCMILLY ZHANG DON MILLS C.I. NORTH YORK, ONMING ZHANG DON MILLS C.I. NORTH YORK, ONSHE ZHANG NEPEAN H.S. OTTAWA, ONSIMONE ZHANG VINCENT MASSEY S.S. WINDSOR, ONTERRY ZHANG SIR JOHN A. MACDONALD C.I. SCARBOROUGH, ONVICTOR ZHANG MARC GARNEAU C.I. NORTH YORK, ONXINYANG ZHANG ORILLIA D.C.V.I. ORILLIA, ONYIRAN ZHANG JERUDONG INT’L SCHOOL BRUNEIMICHAEL ZHOU WESTERN CANADA H.S. CALGARY, ABYANG ZHU ALBERT CAMPBELL C.I. SCARBOROUGH, ONTONY ZHUANG VINCENT MASSEY S.S. WINDSOR, ON

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Hypatia – Gold Standard Palmares individuel – Hypatie

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/EndroitSUNIL AGARWAL ICAE TROY, MIOLEKSANDR AKULOV LUTHER COLLEGE REGINA, SKPARTHIV AMIN WESTERN CANADA H.S. CALGARY, ABJEFFREY BAER ACADEMY FOR GIFTED CHILDREN-PACE RICHMOND HILL, ONCONNOR BEHAN WESTDALE S.S. HAMILTON, ONALVIN BELLEZA MATH TRAINERS GUILD OF PHILLIPPINES PHILIPPINESSHALEV BEN DAVID WATERLOO C.I. WATERLOO, ONPERCIVAL BUESER MATH TRAINERS GUILD OF PHILLIPPINES PHILIPPINESTIANYI CAI WATERLOO C.I. WATERLOO, ONMIGUEL CARINO MATH TRAINERS GUILD OF PHILLIPPINES PHILIPPINESSHELLEY CHAN HAVERGAL COLLEGE NORTH YORK, ONHARRY CHANG A.B. LUCAS S.S. LONDON, ONMICHELLE CHANG UNIONVILLE H.S. MARKHAM, ONHAO CHEN THE WOODLANDS SCHOOL MISSISSAUGA, ONJAMES CHEN ST. GEORGE’S SCHOOL VANCOUVER, BCLINGJUN CHEN DON MILLS C.I. NORTH YORK, ONMENGYUAN CHEN DAVID THOMPSON S.S. VANCOUVER, BCYIFEI CHEN BEIJING CONCORD COLLEGE OF SINO-CANADA BEIJING, CHINAALFONSO CHENG UPPER CANADA COLLEGE TORONTO, ONCHRIS CHENG NORTH TORONTO C.I. TORONTO, ONMICHAEL CHING UPPER CANADA COLLEGE TORONTO, ONBRANDON CHO EARL HAIG S.S. NORTH YORK, ONPETER CHOI PORT MOODY S.S.S. PORT MOODY, BCJEREMY CHUA YAP MATH TRAINERS GUILD OF PHILLIPPINES PHILIPPINESSEAN CRUISE VINCENT MASSEY S.S. WINDSOR, ONRUO DING SIR WILLIAM MULOCK S.S. NEWMARKET, ONZHAOHUA DING FOREST HILL C.I. TORONTO, ONDIMITRI DZIABENKO DON MILLS C.I. NORTH YORK, ONJOHN MARK EGIDA MATH TRAINERS GUILD OF PHILLIPPINES PHILIPPINESKUN FANG DAVID THOMPSON S.S. VANCOUVER, BCSHAOJIE FU JARVIS C.I. TORONTO, ONELINOR FUNG HAVERGAL COLLEGE NORTH YORK, ONHUAYI GAO THE WOODLANDS SCHOOL MISSISSAUGA, ONLU GAO WESTDALE S.S. HAMILTON, ONVIRGIL GARCIA MATH TRAINERS GUILD OF PHILLIPPINES PHILIPPINESLAUREN GORDON ACADEMY FOR GIFTED CHILDREN-PACE RICHMOND HILL, ONCOLIN GUAN ALBERT CAMPBELL C.I. SCARBOROUGH, ONALAN GUO O’NEILL C.V.I. OSHAWA, ONSHINE GUO SIR WINSTON CHURCHILL S.S. VANCOUVER, BCRICHARD HA PORT MOODY S.S.S. PORT MOODY, BCSHEEVA HAGHIGHAT ACADEMY FOR GIFTED CHILDREN-PACE RICHMOND HILL, ONROSS HAMILTON THE YORK SCHOOL TORONTO, ONMARK HARFOUCHE E.S. ETIENNE-BRULE NORTH YORK, ONMATTHEW HE WESTERN CANADA H.S. CALGARY, ABQING HE BEIJING CONCORD COLLEGE OF SINO-CANADA BEIJING, CHINANATHAN HOY HENRY WISE WOOD S.H.S CALGARY, ABDENNIS HUANG ERIC HAMBER S.S. VANCOUVER, BC

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Hypatia – Gold Standard Palmares individuel – Hypatie

Name/Nom School/Ecole Location/EndroitYIHUAN HUANG KINGSTON C.V.I. KINGSTON, ONHUAN JANG LORD BYNG S.S. VANCOUVER, BCWILLIAM JIANG FOREST HILL C.I. TORONTO, ONKEN JIN WALTER MURRAY C.I. SASKATOON, SKMO JOHNSON ST. JOHN’S SCHOOL VANCOUVER, BCLEI KANG UPPER CANADA COLLEGE TORONTO, ONYI KANG CENTENNIAL C.V.I. GUELPH, ONJOE KILEEL FREDERICTON H.S. FREDERICTON, NBDAVID KIM SIR JOHN A. MACDONALD S.S. WATERLOO, ONHYOUNGSUNG KIM CHINESE INTERNATIONAL SCHOOL HONG KONGKYLE MJ KIM UNIONVILLE H.S. MARKHAM, ONMARAT KIREEV WESTERN CANADA H.S. CALGARY, ABANDY KONG VINCENT MASSEY S.S. WINDSOR, ONADRIAN KWOK UPPER CANADA COLLEGE TORONTO, ONIAN KWOK UPPER CANADA COLLEGE TORONTO, ONOREN LAHAV WESTMOUNT C.I. THORNHILL, ONSHAOTIAN LAN THE WOODLANDS SCHOOL MISSISSAUGA, ONJOEL LANESMITH WATERLOO C.I. WATERLOO, ONBEOMJOO LEE UNIONVILLE H.S. MARKHAM, ONCHARLIE LEE EARL HAIG S.S. NORTH YORK, ONGYUHYON LEE WATERLOO C.I. WATERLOO, ONGAIL LI DR. NORMAN BETHUNE C.I. SCARBOROUGH, ONKEVIN LI GLENFOREST S.S. MISSISSAUGA, ONLINHE LI QUEEN ELIZABETH H.S. HALIFAX, NSZHE LI WATERLOO C.I. WATERLOO, ONYUWEI LIANG ABBEY PARK H.S. OAKVILLE, ONZHE LIANG JOHN F. ROSS C.V.I. GUELPH, ONLINA LIN THORNHILL S.S. THORNHILL, ONBILL LIU MILLIKEN MILLS H.S. MARKHAM, ONJINHE LIU THE WOODLANDS SCHOOL MISSISSAUGA, ONLEAO LIU SIR JOHN A. MACDONALD C.I. SCARBOROUGH, ONQIAN LIU BISHOP STRACHAN SCHOOL TORONTO, ONYU LIU WESTERN CANADA H.S. CALGARY, ABZHAO LIU GLEBE C.I. OTTAWA, ONVENUS LO UNIONVILLE H.S. MARKHAM, ONSOPHIA LU SIR WINSTON CHURCHILL S.S. VANCOUVER, BCANGELA LUO SANDWICH S.S. LASALLE, ONETHAN MACAULAY THE HALIFAX GRAMMAR SCHOOL HALIFAX, NSLISA MAI VINCENT MASSEY S.S. WINDSOR, ONCHAITANYA MALLA ICAE TROY, MIYALE MAO THE WOODLANDS SCHOOL MISSISSAUGA, ONRAMON MARFIL MATH TRAINERS GUILD OF PHILLIPPINES PHILIPPINESSTEVE MELCZER PINETREE S.S. COQUITLAM, BCFRANK MENG BURNABY SOUTH S.S. BURNABY, BCJEFFREY MO WILLIAM ABERHART H.S. CALGARY, ABSURESH MOONAN PRESENTATION COLLEGE TRINIDADJASON NG ERIC HAMBER S.S. VANCOUVER, BCRICKY NGAN THORNHILL S.S. THORNHILL, ONMIHAI NICA WATERLOO C.I. WATERLOO, ONCHEN NIE WATERLOO C.I. WATERLOO, ONBONVIN NUQUI MATH TRAINERS GUILD OF PHILLIPPINES PHILIPPINESJAMES PANG MATH TRAINERS GUILD OF PHILLIPPINES PHILIPPINESHUNJE PARK UPPER CANADA COLLEGE TORONTO, ONSOOHOON PARK UPPER CANADA COLLEGE TORONTO, ONBERNICE QI EARL HAIG S.S. NORTH YORK, ONCINDY QIAN HARRY AINLAY H.S. EDMONTON, AB

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Hypatia – Gold Standard Palmares individuel – Hypatie

Name/Nom School/Ecole Location/EndroitXIAO QIAO VINCENT MASSEY S.S. WINDSOR, ONSIWEI QU DOVER BAY S.S. NANAIMO, BCKEVIN QUACH JARVIS C.I. TORONTO, ONALEXANDER REMOROV WATERLOO C.I. WATERLOO, ONCHRISTINA REN VINCENT MASSEY S.S. WINDSOR, ONZACHARY RONG LEASIDE H.S. EAST YORK, ONVINAY SAGAR SIR JOHN A. MACDONALD S.S. WATERLOO, ONASRA SHAIK ICAE TROY, MIMARY SHAN DON MILLS C.I. NORTH YORK, ONMARY SHEN ALBERT CAMPBELL C.I. SCARBOROUGH, ONDANNY SHI WINDERMERE S.S. VANCOUVER, BCJAKE SLACK WESTERN CANADA H.S. CALGARY, ABSTANLEY SO UNIVERSITY OF TORONTO SCHOOLS TORONTO, ONKALYAN SREERAM ICAE TROY, MIDULUXAN SRITHARAN WOBURN C.I. SCARBOROUGH, ONCHEN SUN MATH CHALLENGE AT WESTERN LONDON, ONJIAXI SUN WALTER MURRAY C.I. SASKATOON, SKDARREN SY MATH TRAINERS GUILD OF PHILLIPPINES PHILIPPINESMARK TAN MATH TRAINERS GUILD OF PHILLIPPINES PHILIPPINESSTELLA TANG WINDERMERE S.S. VANCOUVER, BCOWEN TIAN DAVID THOMPSON S.S. VANCOUVER, BCMICHELLE TING THORNHILL S.S. THORNHILL, ONJEFFREY TO TEMPLETON S.S. VANCOUVER, BCALICIA TONG DON MILLS C.I. NORTH YORK, ONJUSTIN TONG SIR WINSTON CHURCHILL S.S. ST CATHARINES, ONRONALD TRAC WOBURN C.I. SCARBOROUGH, ONJESSICA TRUONG MARC GARNEAU C.I. NORTH YORK, ONGREG TSANG CRESCENT SCHOOL NORTH YORK, ONAMY WANG NORTHERN S.S. TORONTO, ONBO WANG WESTERN CANADA H.S. CALGARY, ABDAVID WANG WATERLOO C.I. WATERLOO, ONDAVID WANG A.B. LUCAS S.S. LONDON, ONIVAN WANG VINCENT MASSEY S.S. WINDSOR, ONROB WANG RIVERSIDE S.S. PORT COQUITLAM, BCSTEVEN WANG WILLIAM LYON MACKENZIE C.I. NORTH YORK, ONWENDY WANG SIR JOHN A. MACDONALD S.S. HAMILTON, ONYIFAN WANG LAURA SECORD S.S. ST CATHARINES, ONLYNDIA WU SIR JOHN A. MACDONALD C.I. SCARBOROUGH, ONSHIRLEY WU SIR JOHN A. MACDONALD C.I. SCARBOROUGH, ONANDREW XIAO NEPEAN H.S. OTTAWA, ONBOBBY XIAO WALTER MURRAY C.I. SASKATOON, SKKEVIN XIONG DON MILLS C.I. NORTH YORK, ONXIAOCHEN YA SEAQUAM S.S. DELTA, BCSEAN YAMANA VINCENT MASSEY S.S. WINDSOR, ONANGELA YANG HON. W. C. KENNEDY C.I. WINDSOR, ONHEE SUNG YANG WEST VANCOUVER S.S. WEST VANCOUVER, BCKELSEY ZHANG VINCENT MASSEY S.S. WINDSOR, ONLINDA ZHANG WESTERN CANADA H.S. CALGARY, ABHARRY ZHAO DON MILLS C.I. NORTH YORK, ONNANCY ZHAO HENRY WISE WOOD S.H.S CALGARY, ABYI ZHAO THE WOODLANDS SCHOOL MISSISSAUGA, ONWAGO ZHENG SIR JOHN A. MACDONALD C.I. SCARBOROUGH, ONCATHERINE ZHOU DR. NORMAN BETHUNE C.I. SCARBOROUGH, ONVINCENT ZHOU DR. NORMAN BETHUNE C.I. SCARBOROUGH, ON

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