Canadian
Mathematics
Competition
An activity of The Centre for Education
in Mathematics and Computing,
University of Waterloo, Waterloo, Ontario
2004
Results
Euclid
Contest
(Grade 12)
for the
The CENTRE for EDUCATION in
MATHEMATICS and COMPUTING
Concours
canadien de
mathématiques
Une activité du Centre d'éducation
en mathématiques et en informatique,
Université de Waterloo, Waterloo, Ontario
2004
Résultats
Concours
Euclid
(12e année - Sec. V)
pour les prix
Le CENTRE d'ÉDUCATION en
MATHÉMATIQUES et en INFORMATIQUE
Awards
C.M.C. Sponsors:
Avec la contribution de :
C.M.C. Supporters:
Avec la participation de :
Canadian Institute of Actuaries
Institut canadien des actuaires
Chartered Accountants
Comptables agréés
Great West Life and London Life
London Life, compagnie d’assurance-vie et
La Great-West, compagnie d’assurance-vie
Sybase
Inc. (Waterloo)
iAnywhere Solutions
© 2004 Waterloo Mathematics Foundation
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Table of Contents
Table des matières
Foreword / Avant-propos ........................................................................................................................................... 1
Comments / Commentaires ........................................................................................................................................ 3
Champions - 2003 / Champions - 2003 ...................................................................................................................... 4
The Centre for Education in Mathematics and Computing Prize List /
Liste des prix de la Centre d’Éducation en Mathématiques et en Informatique....................................................... 4
Distribution of Marks / Distribution des points ........................................................................................................... 5
Averages / Moyenne .................................................................................................................................................. 5
Enrolment by Province / Inscription par province ....................................................................................................... 5
Comments on the Paper / Commentaires sur l'épreuve ............................................................................................... 6
Canadian Team Honour Roll / Palmarès des équipes à l'échelle nationale ................................................................... 8
Canadian Student Honour Roll / Palmarès individuel à l'échelle nationale ................................................................... 9
Student Rankings / Classement des élèves ............................................................................................................... 13
The Competition Organization
Organisation du Concours
Executive Committee / Comité exécutif
Barry Ferguson (Director / Directeur),
Peter Crippin, Judith Koeller, Ian VanderBurgh
Euclid Committee / Comité Euclide
Ross Willard, (Chair / président), University of Waterloo
Bill Bisset, (retired / retraité), Toronto
George Bluman, University of British Columbia
Adam Brown, Havergal College, Toronto
Steve Brown, University of Waterloo
Richard Hoshino, Dalhousie University, Halifax
Garry Kiziak, Burlington Central H.S., Burlington
Darren Luoma, Bear Creek S.S., Barrie
John Savage, (retired / retraité), Scheguiandah
Chief Markers / Correcteurs en chef
Steve Brown, University of Waterloo
Ross Willard, University of Waterloo
Marking Chairs /
Présidents des comités de correction
Waterloo Centre / à Waterloo
Enzo Carli, University of Waterloo
Tom Griffiths, (retired / retraité), London
Anita Santin, (retired / retraité), Waterloo
John Savage, (retired / retraité), Sheguiandah
Walker Schofield, (retired / retraité), London
Montréal Centre / à Montréal
Mike McNally, Lower Canada College, Montréal
Winnipeg Centre / à Winnipeg
John Barsby, St. John’s-Ravenscourt School, Winnipeg
Mark Bredin, St. John’s-Ravenscourt School, Winnipeg
Vancouver Centre / à Vancouver
George Bluman, University of British Columbia
Newfoundland Centre / à Terre-Neuve
Don Rideout, Memorial University
New Brunswick Centre / à Nouveau-Brunswick Maureen Tingley, University of New Brunswick
Computer Operation / Ordinatique
Steve Breen, University of Waterloo
Matthew Oliver, University of Waterloo
Publications / Publications
Linda Schmidt, University of Waterloo
Preparation of Materials / Documentation
Linda Schmidt, University of Waterloo
French Edition / Version française
André Ladouceur, Réseau de l’est, Vanier
Gérard Proulx, Collège Catholique Franco-Ouest, Ottawa
Technical Assistants / Adjoints à la technique
Joanne Kursikowski, Kim Schnarr, Kyra Keenan, Lindsay Stewarts, Judy Fox
Validation Committee / Comité de validation
John Barsby, St. John’s-Ravenscourt School, Winnipeg
Jean Collins, (retired / retraité), Thornhill
Tom Griffiths, (retired / retraité), London
Frank Rachich (retired / retraité), Ingersoll
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Foreword
Avant-Propos
The CENTRE for EDUCATION
in MATHEMATICS and
COMPUTING
Le CENTRE d'ÉDUCATION
en MATHÉMATIQUES et
en INFORMATIQUE
Peter Crippin
The Centre for Education in Mathematics and Computing is
pleased to have sponsored the Euclid Competition in 2004. We are
proud to be part of an activity that has provided mathematical
enrichment and problem solving for students in schools since
1963.
We are extremely pleased with the results of this year’s Euclid
contest. We have tried to put together a contest that is both
encouraging and at the same time is discriminating. Over the past
few years, the averages on the Euclid have improved considerably
but we have still been able to produce questions at the upper level
that allows for differentiation between the very best students. This
year our contest committee, made up of secondary school and
university people put together an excellent contest. The questions
were interesting and thoughtful and could be approached in a
variety of ways. I would like to extend my compliments to the
committee.
I also hope that both teachers and students enjoyed working the
problems on the paper. Mathematics contests are about preparation
and hard work. I hope that teachers enjoy working on problems
with students right from the beginning of school in the fall.
Problem solving is fun and is rewarding to those who make a strong
effort. Even if students do not start off knowing how to solve
problems they eventually begin to learn how to solve them and feel
the excitement of making their own ‘mathematical discovery.’
Let me close by thanking all the teachers and parents who have
helped students become more proficient at mathematics. The
helping of students brings great joy and is one of the most valuable
of all human activities. Once again, let me thank those who have
made an effort to help our young people. Your efforts are not
unnoticed.
Director
Centre for Education in Mathematics and Computing
Directeur
Le Centre d’Education en Mathématiques et en Informatique
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Comments
Commentaires
Canadian Mathematics Competition
Concours canadien de mathématiques
Barry A. Ferguson
Congratulations to every student who prepared for and
wrote the Euclid Contest in 2004. With the passing of
the double cohort of Ontario students the number of
entrants was down to about 15 000 from 2003’s 18000,
but this represents an increase from previous years.
Whether you wrote for fun, pride, by request, or for
scholarship consideration, I thank you for your
participation on behalf of the Canadian Mathematics
Competition and our sponsors.
Performance on the paper was very good. Given the
nature of the last few questions the score of 45 comes
largely from the first seven questions and thus represents
a very commendable performance, as well as being an
increase of 3 points from 2003. The last two or three
questions were hard, and this will continue to be the
case, as we challenge the very best young
mathematicians each year. There were only 15 students
who scored 90 or higher. These students are the prize
winners listed later in these results, and they are to be
heartily congratulated on their achievement.
I look forward to seeing many more such
results in the future, and would like to thank the
students and teachers who participate in the
Canadian Mathematics Competition contests for their
continuing support.
Commentaires à suivre.
Barry A. Ferguson
Director
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Champions – 2004
Champions – 2004
STUDENTS / ÉLÈVES
Students are listed in alphabetical order. / Les élèves sont nommés en ordre alphabetique.
Gold Medals /
Médailles d'or
Andrew Critch
Andrew Mao
Chen Shen
Peter Zhan
Yufei Zhao
Clarenville Integrated High School
A.B. Lucas Secondary School
A.Y. Jackson Secondary School
Sir Winston Churchill High School
Don Mills Collegiate Insitute
Clarenville, Newfoundand
London, Ontario
North York, Ontario
Calgary, Alberta
Don Mills, Ontario
TEAMS / ÉQUIPES
Champion / Première :
Second/Deuxième :
Third / Troisième :
Fifth / Cinquième :
Sixth / Sixième :
University of Toronto Schools
Don Mills Collegiate Institute
A.B. Lucas Secondary School
Vincent Massey Secondary School
A.Y. Jackson Secondary School
Lisgar Collegiate Institute
Toronto, Ontario
Don Mills, Ontario
London, Ontario
Windsor, Ontario
North York, Ontario
Ottawa, Ontario
The Centre for Education in Mathematics and Computing Prize List /
Liste des prix de la Centre d’Éducation en Mathématiques et en Informatique
Students are listed in alphabetical order. / Les élèves sont nommés en ordre alphabetique.
Cash Prizes ($500 each) / Prix en argent (500 $ chacun)
Andrew Critch
Clarenville Integrated High School
Andrew Mao
A.B. Lucas Secondary School
Chen Shen
A.Y. Jackson Secondary School
Peter Zhan
Sir Winston Churchill High School
Yufei Zhao
Don Mills Collegiate Insitute
Clarenville, Newfoundand
London, Ontario
North York, Ontario
Calgary, Alberta
Don Mills, Ontario
Book Prizes / Prix en
Francis Chung
Janos Kramar
Silvia Li
Zhuoran Li
Michael Lipnowski
Amirali Modir Sanechi
Richard Peng
Evan Startford
John Sun
Jacob Tsimerman
London, Ontario
Toronto, Ontario
Ottawa, Ontario
Fonthill, Ontario
Winnipeg, Manitoba
Don Mills, Ontario
Toronto, Ontario
Toronto, Ontario
Windsor, Ontario
Toronto, Ontario
livres
A.B. Lucas Secondary School
University of Toronto Schools
Lisgar Collegiate Institute
E.L.Crossley Secondary School
St. John's-Ravenscourt School
Don Mills Collegiate Insitute
Vaughan Road Academy
University of Toronto Schools
Vincent Massey Secondary School
University of Toronto Schools
The Canadian Mathematics Competition is grateful for the support of the Centre for Education in Mathematics and
Computing in providing prizes to the top competitors in the Euclid Mathematics Contest.
Le Concours canadien de mathématiques remercie la Centre d'éducation en mathématiques et en informatique qui fournit
les prix aux gagnants du Concours de mathématiques Euclide.
Please note that a student may not be a prize recipient in the Euclid Contest and in the Descartes Contest in the same year.
Awards listed are at the discretion of the Executive Committee of the Canadian Mathematics Competition.
Veuillez noter qu'un étudiant ne peut recevoir un prix la même année à la fois dans le Concours Euclide et dans le Concours
Descartes. Les prix indiqués le sont à la discrétion du Comité exécutif du Concours canadien de mathématiques.
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Distribution of Marks
SCORE
NOTE
Distribution des points
PERCENTAGE OF STUDENTS
POURCENTAGE DES ETUDIANTS
71-100
66-70
61-65
56-60
51-55
46-50
41-45
36-40
31-35
26-30
21-25
0-20
8.5
5.0
6.6
7.8
9.1
10.1
11.1
10.4
9.9
7.9
5.9
7.7
8.5
13.5
20.1
27.9
37.0
47.1
58.2
68.6
78.5
86.4
92.3
100.0
11608 STUDENTS
11608 ELEVES
MARK 1
MARK 2
MARK 3
CUMULATIVE PERCENTAGE
POURCENTAGE ACCUMULE
AVERAGE MARK
MOYENNE
45.00
45.00
27.11
14.64
3.24
This chart above pertains to all competitors. / Le graphique précédent s'applique à tous les concurrents.
Averages
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Moyenne
8.4
8.3
5.9
4.5
5.5
4.7
4.5
1.9
1.1
0.2
Please visit our web site at:
www.cemc.uwaterloo.ca
to download the 2004 Euclid Contest, plus full solutions.
Veuillez visiter notre site Web à
www.cemc.uwaterloo.ca
pour télécharger les concours Euclide 2004, avec solutions complètes.
Student Enrolment by Province
Newfoundland
Nova Scotia
New Brunswick
Prince Edward Island
Quebec
246
324
273
23
245
Terre-Neuve
Nouvelle-Écosse
Nouveau-Brunswick
Ile-du-Prince-Édouard
Québec
Inscription par province
Ontario
8670
Manitoba
412
Saskatchewan
240
Alberta
399
British Columbia 3115
Ontario
Manitoba
Saskatchewan
Alberta
Colombie-Britannique
Total number of students enrolled / Nombre d’inscriptions individuelles: 13 947
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5
Comments on the Paper
Commentaires sur l'épreuve
1.
All three parts of this question were done very well. The only problem that students had with this first question was
in part (c). If students calculated the hypotenuse of the small triangles and then calculated the area of the internal figure
without justifying that EFGH was a square then they earned only 5 marks. If, however, they calculated the area of
the four smaller triangles and then subtracted this total from the area of the large square then they earned full marks.
In this case no justification was required.
2.
This question was very well done. Part (c) could be approached in a variety of different ways including similar triangles
or analytic geometry.
3.
This question was done well for the most part. If students represented the sequence as a − 2d , a − d , a, a + d , a + 2d
2
2
the calculations were easier. In part (b) the use of the identity, ( x + y ) = ( x − y ) + 4 xy , makes the calculation
straight-forward. It is also possible to solve this as a system of two equations in two unknowns, which is correct, but
it makes for awkward calculations.
4.
This question was well done. The only difficulty experienced by some students in part (a) was that the outcome five
occurs only 11 times, and not 12. In part (b), we recognize this as an identity and so a equals 3 or –3 and the calculation
for b comes from the equation b 2 − b = 0 . Note, however, that this result must be verified in the third equation thus
resulting in just two ordered pairs.
5.
Part (a) was done well by the majority of students. The problem for some students in this part was in the factoring
of 2 x+4 from the right side. In part (b), it is necessary to recognize that the point P has coordinates (-1,0) and then
substituting x = -1, y = 0 gives the value for t.
6.
Part (a) was done extremely well. Most students recognized immediately that it was necessary to include a loonie
and four pennies which then made the question very straightforward. A lot of students got part (b) correct. In part
(b), the calculation was made much easier by removing common factors. It was possible to multiply everything out
but this made the algebra unnecessarily difficult.
7.
There was no difficulty with part (a). Students did very well on this part. It was very nice to see the variety of solutions
to part (b). Students seemed to have a very good idea of how to proceed and as a result did a good job.
8.
Part (a) was handled nicely by a large number of students. It was intended that (a) be used as a lead in to part (b). We
hoped that if students recognized in part (a) that it was necessary to cube the expression for T that this would be
something that they would do in part (b). This was recognized by a large number of students. In this question we asked
for an ‘exact value’ and most students realized that this meant that calculator values were not acceptable if students
wished to earn full marks.
9.
This question was reasonably well for so late in the paper. Parts (a) and (b) were numerical in nature and involved
nothing more than the cosine law and some elementary number theory. Part (c) was quite difficult but had a number
of different approaches.
10.
This is an interesting question and is actually easier than number 9. In part (a) and (b) you are actually asked to just
calculate and fiddle with the concept. In part (c), this is just a parity argument. This question is worth trying again
when there is more time. (A Skolem sequence does actually exist and is something that can be looked up on the Web
and investigated.)
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Comments on the Paper
Commentaires sur l'épreuve
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7
Canadian Team Honour Roll
1
2
3
5
6
7
8
9
10
11
12
14
15
17
19
20
23
27
29
30
32
33
36
38
40
45
48
50
Palmarès des équipes à l'échelle nationale
SCHOOL
ECOLE
LOCATION
ENDROIT
PROV
PROV
SCORE
NOTE
UNIV. OF TORONTO SCHOOLS
DON MILLS C.I.
A.B. LUCAS S.S.
VINCENT MASSEY S.S.
A.Y. JACKSON S.S.
LISGAR C.I.
ST. JOHN’S-RAVENSCOURT SCHOOL
SIR WINSTON CHURCHILL H.S.
WESTERN CANADA H.S.
PORT MOODY S.S.S.
BURNABY SOUTH S.S.
MONARCH PARK C.I.
UPPER CANADA COLLEGE
JARVIS C.I.
YORK MILLS C.I.
THORNHILL S.S.
EARL HAIG S.S.
SEAQUAM S.S.
DAVID THOMPSON S.S.
WESTDALE S.S.
BAYVIEW SECONDARY SCHOOL
POINT GREY S.S.
SIR JOHN A. MACDONALD C.I.
GEORGE S. HENRY ACADEMY
COLUMBIA INTERNATIONAL COLLEGE
BURNABY NORTH S.S.
ALBERT CAMPBELL C.I.
WATERLOO C.I.
SIR WINSTON CHURCHILL S.S.
MARTINGROVE C.I.
ST. GEORGE’S SCHOOL
HOLY HEART OF MARY REG. H.S.
VICTORIA PARK S.S.
GLENFOREST S.S.
LONDON CENTRAL S.S.
MARIANOPOLIS COLLEGE
MARKVILLE S.S.
FOREST HILL C.I.
J.N. BURNETT S.S.
WOBURN COLLEGIATE INSTITUTE
L’AMOREAUX C.I.
VAUGHAN S.S.
HANDSWORTH S.S.
SENTINEL S.S.
GLEBE COLLEGIATE INSTITUTE
WILLIAM LYON MACKENZIE C.I.
THE COUNTRY DAY SCHOOL
OAKWOOD C.I.
SEMIAHMOO S.S.
UNIONVILLE H.S.
OLD SCONA ACADEMIC H.S.
TEMPLETON S.S.
TORONTO
DON MILLS
LONDON
WINDSOR
NORTH YORK
OTTAWA
WINNIPEG
CALGARY
CALGARY
PORT MOODY
BURNABY
TORONTO
TORONTO
TORONTO
NORTH YORK
THORNHILL
NORTH YORK
NORTH DELTA
VANCOUVER
HAMILTON
RICHMOND HILL
VANCOUVER
AGINCOURT
TORONTO
HAMILTON
BURNABY
SCARBOROUGH
WATERLOO
VANCOUVER
ETOBICOKE
VANCOUVER
ST. JOHN’S
NORTH YORK
MISSISSAUGA
LONDON
MON REAL
MARKHAM
TORONTO
RICHMOND
TORONTO
AGINCOURT
THORNHILL
NORTH VANCOUVER
WEST VANCOUVER
OTTAWA
TORONTO
KING CITY
TORONTO
SURREY
UNIONVILLE
EDMON ON
VANCOUVER
ON
ON
ON
ON
ON
ON
MB
AB
AB
BC
BC
ON
ON
ON
ON
ON
ON
BC
BC
ON
ON
BC
ON
ON
ON
BC
ON
ON
BC
ON
BC
NL
ON
ON
ON
QC
ON
ON
BC
ON
ON
ON
BC
BC
ON
ON
ON
ON
BC
ON
AB
BC
277
274
268
268
266
262
260
258
256
254
252
251
251
250
249
249
248
248
247
246
246
246
245
245
245
245
243
243
241
240
240
239
238
238
238
237
237
236
236
235
235
235
235
235
234
234
234
233
233
232
232
232
There were 1159 schools enrolled. There were 880 three-student teams.
1159 écoles étaient inscribes. Il y avait 880 équipes de trois élèves.
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Palmarès individuel à l'échelle nationale
Canadian Student Honour Roll
Students are listed in alphabetical order within each group. / Dans chaque groupe, les élèves sont nommés en ordre alphabetique.
NAME
NOM
SCHOOL
ECOLE
LOCATION
ENDROIT
PROV
GR
AGE
PROV NIVEAU AGE
CLARENVILLE INTEGRATED H.S.
A.B. LUCAS S.S.
A.Y. JACKSON S.S.
SIR WINSTON CHURCHILL H.S.
DON MILLS C.I.
CLARENVILLE
LONDON
NORTH YORK
CALGARY
DON MILLS
NL
ON
ON
AB
ON
12
12
12
12
10
17
17
18
18
15
LONDON
TORONTO
OTTAWA
FONTHILL
WINNIPEG
DON MILLS
TORONTO
TORONTO
WINDSOR
TORONTO
ON
ON
ON
ON
MB
ON
ON
ON
ON
ON
11
11
12
12
12
12
10
12
12
10
17
17
18
16
18
17
15
17
17
15
NORTH DELTA
TORONTO
OKOTOKS
VANCOUVER
PORT MOODY
CALGARY
PORT MOODY
BURNABY
TORONTO
WINDSOR
ETOBICOKE
TORONTO
DON MILLS
AGINCOURT
NORTH YORK
HAMILTON
NORTH YORK
OTTAWA
BURNABY
WINNIPEG
WINDSOR
BC
ON
AB
BC
BC
AB
BC
BC
ON
ON
ON
ON
ON
ON
ON
ON
ON
ON
BC
MB
ON
11
12
12
11
12
11
12
10
12
11
12
12
12
12
12
12
11
12
10
12
12
16
18
18
16
17
17
18
16
19
15
17
18
18
17
18
18
16
17
16
19
17
RICHMOND HILL
TORONTO
TORONTO
ANTIGONISH
EDMONTON
VANCOUVER
WINNIPEG
RICHMOND
WINDSOR
BURNABY
MONTREAL
ON
ON
ON
NS
AB
BC
MB
BC
ON
BC
QC
12
12
10
12
12
12
12
10
12
11
11
18
18
16
16
17
18
16
16
17
17
16
GROUP I / GROUPE I
CRITCH
MAO
SHEN
ZHANG
ZHAO
ANDREW J
ANDREW
CHEN
PETER
YUFEI
GROUP II / GROUPE II
CHUNG
KRAMAR
LI
LI
LIPNOWSKI
MODIR SHANECHI
PENG
STRATFORD
SUN
TSIMERMAN
FRANCIS
JANOS
C SILVIA
ZHUORAN
MICHAEL
AMIRALI
RICHARD
EVAN
JOHN
JACOB
GROUP III / GROUPE III
CHEN
CHOY
CHUANG
DAN
FOLZ
HAN
JIN
LIU
LIU
LIU
OH
PAN
SO
SO
WEI
WEI
WU
YING
ZHANG
ZHANG
ZHAO
TONY
STEPHEN
DENNIS
RONGTAO
MATTHEW
POLLY
HYUNJONG
HENRY
PEIPEI
TAOTAO
SUKWON
CHUNPO
ADRIAN
WAI YIP
YEHUA
ZEYING
STEVEN
LI
ALLEN
GUAN
YIN
GROUP IV / GROUPE IV
CAI
CHEN
DENG
EMBREE
FAN
FEI
GUEST
HO
JIANG
KOLEV
KWAK
ALLAN
LUYI
BO HONG
ROBERT
FREEMAN
LIN
WILL
MARTIN
CHARLEY
RUSI
DANIEL
SCORES / NOTES
94 - 90
A.B. LUCAS S.S.
UNIV. OF TORONTO SCHOOLS
LISGAR C.I.
E.L. CROSSLEY S.S.
ST. JOHN’S-RAVENSCOURT SCHOOL
DON MILLS C.I.
VAUGHAN ROAD ACADEMY
UNIV. OF TORONTO SCHOOLS
VINCENT MASSEY S.S.
UNIV. OF TORONTO SCHOOLS
SCORES / NOTES
88 - 86
SEAQUAM S.S.
UPPER CANADA COLLEGE
STRATHCONA-TWEEDSMUIR SCHOOL
POINT GREY S.S.
PORT MOODY S.S.S.
WESTERN CANADA H.S.
PORT MOODY S.S.S.
BURNABY NORTH S.S.
GEORGE S. HENRY ACADEMY
VINCENT MASSEY S.S.
MARTINGROVE C.I.
JARVIS C.I.
DON MILLS C.I.
L’AMOREAUX C.I.
YORK MILLS C.I.
WESTDALE S.S.
A.Y. JACKSON S.S.
LISGAR C.I.
BURNABY SOUTH S.S.
GRANT PARK H.S.
VINCENT MASSEY S.S.
SCORES / NOTES
85 - 84
BAYVIEW SECONDARY SCHOOL
MONARCH PARK C.I.
JARVIS C.I.
DR. JOHN HUGH GILLIS SCHOOL
OLD SCONA ACADEMIC H.S.
SIR WINSTON CHURCHILL S.S.
ST. JOHN’S-RAVENSCOURT SCHOOL
J.N. BURNETT S.S.
VINCENT MASSEY S.S.
BURNABY SOUTH S.S.
LOWER CANADA COLLEGE
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Canadian Student Honour Roll
LEE
LEUNG
LI
LIN
LIU
MA
PARK
PARK
SINGH
SO
SUN
SUN
WANG
WANG
WANG
WHITE
WOLSKE
WU
XU
YIN
YUE
ZHANG
ZHANG
ZHOU
SUE JEAN
DERRICK
YICHUN
ELEANOR
JINGQI
RUI
JUNHYUN
MICHAEL
VISHVAJIT
KELVIN
SARAH
YI
LIE
LINDA
QIAN
SHAUN
ZACK
NATHANAEL
QIANYING
TI
TOM
BAOSEN
KEN
ZHI BIN
GROUP V / GROUPE V
ABDEH KOLACHI
ADLER
BAO
CHANG
CHEUNG
CHOO
CHOW
DU
FAN
FAN
GORNER
GUO
HALL
HAN
HAO
HO
HONG
HOU
HU
HWANG
JU
KIM
LEE
LEE
LEE
LI
LI
LIN
LIU
MARINOV
MOK
NG
NYBORG
PAREJA
PARENT
PARK
BISHOP STRACHAN SCHOOL
UPPER CANADA COLLEGE
VICTORIA PARK S.S.
DAVID THOMPSON S.S.
MONARCH PARK C.I.
VINCENT MASSEY S.S.
BODWELL H.S.
THORNHILL S.S.
MARKVILLE S.S.
GLENFOREST S.S.
HOLY TRINITY ACADEMY
EARL HAIG S.S.
COLUMBIA INTERNATIONAL COLLEG
VINCENT MASSEY S.S.
SEMIAHMOO S.S.
VINCENT MASSEY S.S.
ANDERSON C.&V.I.
WESTERN CANADA H.S.
LISGAR C.I.
WILLIAM LYON MACKENZIE C.I.
A.Y. JACKSON S.S.
WATERLOO C.I.
WESTERN CANADA H.S.
EARL HAIG S.S.
SCORES / NOTES
MEHDI
GEORGE
JIE
HARRY
TIMOTHY
YONJOON
ANSELINA
BARTON
JUN
VICTOR
JOSHUA
ZHENG
STEVEN
LUKE
WEIBO
JEFFREY
TIANLI
JING YUAN
YOUWEN
ANDY
DANIEL
JAEHUN
BRYANT
JASON
WOO
WILLIAM
YUKAI
NANQIAN
ANDY
RADOSLAV
YUEN TAK
KIM
TIMOTHY
DANIEL
SIMON
JENNIFER
Palmarès individuel à l'échelle nationale
TORONTO
TORONTO
NORTH YORK
VANCOUVER
TORONTO
WINDSOR
NORTH VANCOUVER
THORNHILL
MARKHAM
MISSISSAUGA
OKOTOKS
NORTH YORK
HAMILTON
WINDSOR
SURREY
WINDSOR
WHITBY
CALGARY
OTTAWA
TORONTO
NORTH YORK
WATERLOO
CALGARY
NORTH YORK
ON
ON
ON
BC
ON
ON
BC
ON
ON
ON
AB
ON
ON
ON
BC
ON
ON
AB
ON
ON
ON
ON
AB
ON
12
12
12
12
12
12
12
11
12
12
10
12
12
12
12
11
12
12
12
12
12
12
11
12
18
17
17
17
19
18
18
16
18
18
16
17
18
17
18
16
17
17
18
17
17
18
17
18
HALIFAX
GLOUCESTER
NORTH YORK
LONDON
DON MILLS
PICKERING
MARKHAM
NORTH DELTA
PRINCE ALBERT
NANAIMO
ST. JOHN’S
CALGARY
SUTTON
LONDON
WINDSOR
VANCOUVER
NORTH YORK
TORONTO
TORONTO
THORNHILL
OTTAWA
RICHMOND HILL
BURNABY
PORT COQUITLAM
NORTH VANCOUVER
MISSISSAUGA
WINDSOR
SCARBOROUGH
CALGARY
EDMONTON
ST. LAMBERT
TORONTO
SASKATOON
VANCOUVER
KITCHENER
WATERLOO
NS
ON
ON
ON
ON
ON
ON
BC
SK
BC
NL
AB
ON
ON
ON
BC
ON
ON
ON
ON
ON
ON
BC
BC
BC
ON
ON
ON
AB
AB
QC
ON
SK
BC
ON
ON
12
12
12
12
12
10
12
12
12
11
12
10
12
12
12
12
12
12
11
12
12
12
11
11
12
12
12
12
11
12
12
12
12
12
11
10
17
16
17
14
17
16
17
19
17
16
17
16
17
18
18
17
18
19
17
18
17
19
17
16
18
17
17
18
17
18
18
17
17
17
16
16
83 - 82
HALIFAX WEST H.S.
GLOUCESTER H.S.
VICTORIA PARK S.S.
H.B. BEAL S.S.
DON MILLS C.I.
PINE RIDGE S.S.
BROTHER ANDRE C.H.S.
.
SEAQUAM S.S.
CARLTON COMP.H.S.
DOVER BAY S.S.
HOLY HEART OF MARY REG. H.S.
WESTERN CANADA H.S.
SUTTON D.H.S.
A.B. LUCAS S.S.
VINCENT MASSEY S.S.
ST. GEORGE’S SCHOOL
YORK MILLS C.I.
GEORGE S. HENRY ACADEMY
MONARCH PARK C.I.
THORNHILL S.S.
GLEBE COLLEGIATE INSTITUTE
BAYVIEW SECONDARY SCHOOL
BURNABY MOUNTAIN S.S.
TERRY FOX S.S.S.
HANDSWORTH S.S.
GORDON GRAYDON MEMORIAL S.S.
VINCENT MASSEY S.S.
ALBERT CAMPBELL C.I.
SIR WINSTON CHURCHILL H.S.
HARRY AINLAY H.S.
CHAMPLAIN REGIONAL COLLEGE
HAVERGAL COLLEGE
EVAN HARDY C.I.
TEMPLETON S.S.
KITCHENER-WATERLOO C.I. & V.I
BLUEVALE C.I.
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Palmarès individuel à l'échelle nationale
Canadian Student Honour Roll
SIU
SONG
SRITHARAN
SUN
TANG
THOMPSON
WONG
WOO
WRIGLEY
XIAO
XING
YE
YE
YOO
ZHANG
ZHOU
ZHOU
GEOFFREY
YIQIAN
THUWARAGAN
CHRIS
JEFFREY
EVAN
IAN
VINCENT
MALKA
RICKY
SIYUAN
JIMMY PENG
JINCHENG
JUNBAE
SI
RYAN
SHAWN
GROUP VI / GROUPE VI
AN
BLAKE
CAI
CHAMBERS
CHANG
CHANG
CHEN
CHEUNG
CHO
CHOI
CHONG
DARWIN
DICKSON
FENG
FU
FULMYK
GE
GRANT
GRANT
GUO
HAN
HAO
HUANG
JIN
KIM
KIM
KONG
KRAUSE
KWA
LAM
LI
LI
LI
LIE
LIN
LIU
LUDWIN
NAGY
NGAI
OH
PARRY
PRZYBYTKOWSKI
QIN
YOONSUK
CHRIS
XUEHAN
GREGORY
LARRY
TREVOR
MO
JASON
EUNMEE
OLIVIA
KENNETH
BENJAMIN
NEIL
NAN
MICHAEL
MICHAL
YIN
ELYOT
JONATHON
STEVEN
SIZHE
JING
ANDY
SHA
ALBERT
STEVE
ANDY
BEN
JIMMY
KEVIN
LI
MICHAEL
QING
YOOHAN
YE
YINGYING
ILANA
LISA
DARRYL
ERIN
W OWEN
KAROL
ANGELA
LONDON CENTRAL S.S.
WEST TORONTO C.I.
WOBURN COLLEGIATE INSTITUTE
ALBERT CAMPBELL C.I.
ST. JOHN’S-RAVENSCOURT SCHOOL
ST. JOHN’S-RAVENSCOURT SCHOOL
VANCOUVER COLLEGE H.S.
ERIC HAMBER S.S.
OLD SCONA ACADEMIC H.S.
SIR JOHN A. MACDONALD S.S.
VINCENT MASSEY S.S.
SIR JOHN A. MACDONALD C.I.
SIR JOHN A. MACDONALD C.I.
ST. MICHAEL’S UNIV. SCHOOL
ADEN BOWMAN C.I.
ADAM SCOTT C.&V.I.
DAVID THOMPSON S.S.
SCORES / NOTES
LONDON
TORONTO
TORONTO
SCARBOROUGH
WINNIPEG
WINNIPEG
VANCOUVER
VANCOUVER
EDMONTON
HAMILTON
WINDSOR
AGINCOURT
AGINCOURT
VICTORIA
SASKATOON
PETERBOROUGH
VANCOUVER
ON
ON
ON
ON
MB
MB
BC
BC
AB
ON
ON
ON
ON
BC
SK
ON
BC
11
12
12
12
12
12
12
11
11
12
10
11
12
11
12
10
12
15
18
17
19
17
17
17
17
16
17
16
17
17
17
17
16
17
WILLOWDALE
CALEDONIA
TORONTO
TORONTO
NORTH DELTA
SURREY
VANCOUVER
MISSISSAUGA
MISSISSAUGA
THORNHILL
SCARBOROUGH
TOTTENHAM
DEEP RIVER
WEST VANCOUVER
TORONTO
MAPLE
MONTREAL
KITCHENER
LONDON
VANCOUVER
HAMILTON
TORONTO
NEPEAN
NORTH YORK
AURORA
PORT MOODY
WINDSOR
VANCOUVER
RICHMOND
WINNIPEG
PORT DOVER
VANCOUVER
BRESLAU
OTTAWA
CALGARY
WEST VANCOUVER
HAMILTON
LONDON
THORNHILL
COQUITLAM
OTTAWA
MONTREAL
WINDSOR
ON
ON
ON
ON
BC
BC
BC
ON
ON
ON
ON
ON
ON
BC
ON
ON
QC
ON
ON
BC
ON
ON
ON
ON
ON
BC
ON
BC
BC
MB
ON
BC
ON
ON
AB
BC
ON
ON
ON
BC
ON
QC
ON
12
12
12
11
11
12
10
12
12
12
12
12
12
12
11
12
12
11
12
12
12
12
12
11
12
11
12
10
12
11
12
11
11
12
12
12
12
12
12
11
12
12
12
18
17
18
17
16
18
16
18
18
18
17
17
17
19
17
17
17
16
17
19
19
19
17
17
18
16
15
15
17
16
19
16
19
19
18
18
18
17
17
16
17
18
17
81 - 80
BREBEUF COLLEGE SCHOOL
MCKINNON PARK S.S.
FOREST HILL C.I.
WESTERN TECH. COMM. SCHOOL
SEAQUAM S.S.
PACIFIC ACADEMY
WINDERMERE S.S.
GORDON GRAYDON MEMORIAL S.S.
PORT CREDIT S.S.
VAUGHAN S.S.
WEXFORD C.I.
ST. THOMAS AQUINAS
MACKENZIE H.S.
SENTINEL S.S.
UPPER CANADA COLLEGE
ST. JOAN OF ARC C.H.S.
MARIANOPOLIS COLLEGE
CAMERON HEIGHTS C.I.
SIR W. LAURIER S.S.
MAGEE SECONDARY SCHOOL
COLUMBIA INTERNATIONAL COLLEG
OAKWOOD C.I.
SIR ROBERT BORDEN H.S.
YORK MILLS C.I.
DR. G.W. WILLIAMS S.S.
PORT MOODY S.S.S.
VINCENT MASSEY S.S.
ST. GEORGE’S SCHOOL
H.J. CAMBIE S.S.
ST. JOHN’S-RAVENSCOURT SCHOOL
PORT DOVER COMP. SCHOOL
UNIVERSITY HILL S.S.
ST. JOHN’S KILMARNOCK SCHOOL
ASHBURY COLLEGE
WESTERN CANADA H.S.
SENTINEL S.S.
WESTDALE S.S.
OAKRIDGE S.S.
VAUGHAN S.S.
GLENEAGLE S.S.
MERIVALE H.S.
MARIANOPOLIS COLLEGE
VINCENT MASSEY S.S.
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Canadian Student Honour Roll
RAMMO
RUAN
SENEVIRATNE
SHAPIRO
SHARAFAT
SHI
SIN
SKOUFRANIS
SONG
SUEN
TAO
WAN
WANG
WANG
XIA
XIA
XIE
YEUNG
YEUNG
YU
ZHANG
ZHANG
ZHANG
ZHAO
ZHENG
WAEL
ZHENDONG
RAJIV
ROMAN
ALI REZA
PENG
JISEOB
PAUL
ZIJUNSHIRL
ALEXANDER
MICHAEL
FENG
FRANK
JENNY
YAN
YANG
JOYCE
DARWIN
NICHOLAS
BO YANG
HANFEI
HARVEY
RUIKAN
SAMUEL
YUEYIN
Palmarès individuel à l'échelle nationale
VINCENT MASSEY S.S.
DR. NORMAN BETHUNE C.I.
OAKWOOD C.I.
VINCENT MASSEY S.S.
LISGAR C.I.
SIR JOHN A. MACDONALD C.I.
PINETREE S.S.
THORNHILL S.S.
DAVID THOMPSON S.S.
ST. JOHN’S-RAVENSCOURT SCHOOL
WATERLOO C.I.
COLUMBIA INTERNATIONAL COLLEG
VINCENT MASSEY S.S.
DON MILLS C.I.
BURNABY CENTRAL S.S.
VINCENT MASSEY S.S.
BURNABY SOUTH S.S.
UPPER CANADA COLLEGE
MARKHAM D.H.S.
SAINT JOHN H.S.
A.Y. JACKSON S.S.
BURNABY NORTH S.S.
POINT GREY S.S.
ENVER CREEK SECONDARY SCHOOL
FOREST HILL C.I.
WINDSOR
SCARBOROUGH
TORONTO
WINDSOR
OTTAWA
AGINCOURT
COQUITLAM
THORNHILL
VANCOUVER
WINNIPEG
WATERLOO
HAMILTON
WINDSOR
DON MILLS
BURNABY
WINDSOR
BURNABY
TORONTO
MARKHAM
SAINT JOHN
NORTH YORK
BURNABY
VANCOUVER
SURREY
TORONTO
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ON
ON
ON
ON
ON
ON
BC
ON
BC
MB
ON
ON
ON
ON
BC
ON
BC
ON
ON
NB
ON
BC
BC
BC
ON
11
12
12
11
12
10
11
12
12
12
12
12
12
11
12
12
12
12
12
12
12
12
11
10
12
17
19
17
17
18
15
17
17
18
17
17
18
17
17
18
17
18
18
17
17
18
17
16
15
18
Classement des élèves
Student Rankings
RANK/
POSITION
1
2
6
7
10
14
15
18
23
31
41
62
81
107
136
166
205
266
318
381
424
477
550
626
698
760
840
927
1027
1133
1229
1339
1459
1584
1726
1863
2014
2163
2327
2489
2654
SCORE/
NOTE
97
95
94
93
92
91
90
88
87
86
85
84
83
82
81
80
79
78
77
76
75
74
73
72
71
70
69
68
67
66
65
64
63
62
61
60
59
58
57
56
55
RANK/
POSITION
2827
3010
3208
3400
3597
3822
4021
4247
4454
4673
4925
5161
5383
5626
5856
6091
6316
6554
6772
6993
7205
7414
7651
7854
8088
8271
8444
8617
8794
8960
9116
9254
9397
9498
9630
9742
9855
9943
10017
10096
10157
SCORE/
NOTE
54
53
52
51
50
49
48
47
46
45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
29
28
27
26
25
24
23
22
21
20
19
18
17
16
15
14
RANK/
POSITION
10209
10261
10311
10336
10364
10387
10405
10427
10441
10451
10463
10469
10476
10478
SCORE/
NOTE
13
12
11
10
9
8
7
6
5
4
3
2
1
0
The listing above pertains to official candidates only. / La liste précédente ne s'applique qu'aux candidats officiels.
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