2015 - CEMC - University of Waterloo

The CENTRE for EDUCATION
in MATHEMATICS and COMPUTING
Le CENTRE d’ÉDUCATION
en MATHÉMATIQUES et en INFORMATIQUE
www.cemc.uwaterloo.ca
2015
Results
Euclid Contest
2015
Résultats
Concours Euclide
c
2015
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’éducation en mathématiques et informatique
Ed Anderson
Jeff Anderson
Terry Bae
Steve Brown
Ersal Cahit
Heather Culham
Serge D’Alessio
Frank DeMaio
Janine Dietrich
Jennifer Doucet
Fiona Dunbar
Mike Eden
Barry Ferguson
Judy Fox
Steve Furino
John Galbraith
Sandy Graham
Conrad Hewitt
Angie Hildebrand
Carrie Knoll
Judith Koeller
Bev Marshman
Mike Miniou
Dean Murray
Jen Nelson
J.P. Pretti
Kim Schnarr
Carolyn Sedore
Ian VanderBurgh
Troy Vasiga
JoAnn Vincent
Tim Zhou
Problems Committee / Comité des problèmes
Fiona Dunbar (Chair / présidente), University of Waterloo, Waterloo, ON
Mike Aben, Lakefield College School, Lakefield, ON
Kathir Brabaharan, Sir John A. Macdonald C.I., Scarborough, ON
Adam Brown, University of Toronto Schools, Toronto, ON
Steve Brown, University of Waterloo, Waterloo, ON
Serge D’Alessio, University of Waterloo, Waterloo, ON
Charlotte Danard, Toronto, ON
Garry Kiziak, Burlington, ON
Darren Luoma, Bear Creek S.S., Barrie, ON
Alex Pintilie, Crescent School, Toronto, ON
David Pritchard, University of California, Los Angeles, CA
Ross Willard, University of Waterloo, Waterloo, ON
2
Comments on the Paper
Commentaires sur les épreuves
Overall Comments
Congratulations to all of the participants in the 2015 Euclid Contest. The average score in 2015 was 45.4. We
were very pleased that a almost all students achieved some success on the early parts of the paper. At the same
time, the later parts of these problems managed to challenge the top students even more than last year’s problems.
Special congratulations go to the 22 official contestants who achieved scores of 90 and higher this year.
We at the Centre for Education in Mathematics and Computing believe strongly that it is very important for
students to both learn to solve mathematics problems and learn to write good solutions to these problems. Many
students do a reasonable job of writing solutions, while others still include no explanation whatsoever.
Special thanks go to the Euclid Committee that annually sets the Contest problems and manages to achieve
a very difficult balancing act of providing both accessible and challenging problems on the same paper.
To the students who wrote, the parents who supported them, and the teachers who helped them along the
way, thank you for your continuing participation and support. We hope that you enjoyed the Contest and relished
the challenges that it provided. We hope that mathematics contests continue to feed your love for and interest in
mathematics.
Specific Comments
1. Average: 9.5
This question was well done. We are pleased that part (c) involving functional notation demonstrated a
strong understanding among the students who wrote.
2. Average: 8.8
√
Parts (a) and (b) were well done. In part (b), a common incorrect answer was 2 − 1 when students used
an expression like R + 1 for the radius of the larger circle and then calculated R. In part (c), a complete
solution required some explanation and not only calculations to be shown.
3. Average: 7.2
Most students solved part (a) and did this using a special triangle or using trigonometry. Part (b) was fairly
well done when a base of P N and height of 4 was used. Some students chose M N for the base of 4M N P ,
and then determined the corresponding height, often not recognizing that the height was not N P .
4. Average: 6.4
Part (a) was well done. In part (b), many students correctly factored the cubic equation found from the
equations of the two graphs as the product of x and a quadratic expression. For the quadratic expression to
have a double root, the discriminant is equal to zero. Some students determined only one value for a solving
either a + 1 = 4 or a + 1 = −4, but not recognizing both possibilities.
5. Average: 3.9
The majority of students did well on part (a). Common errors included assuming that 4ADE was a 30◦ 60◦ -90◦ triangle, and using incorrect trigonometric ratios. Many students made good progress on part (b),
though it was tricky to clearly justify one’s process. Common errors included missing one of the factorizations
of 49 (either 1 · 49 or 7 · 7), missing one of the given condition (for example, a < b), or not ensuring that at
least one entry in the third list was greater than 75.
6. Average: 4.3
Part (a) was reasonably well done. The most common error was an incorrect number of terms that repeat.
In part (b), students had to be very careful. Many students ignored the cases of x > −1 and x < −1 which
normally led to finding only one of the two intervals. Many solutions involved charts which looked at the sign
of the various factors in the expression and looked at the function values on the intervals between critical
3
Comments on the Paper
Commentaires sur les épreuves
values to answer the question. Many of these charts were not labelled or not well labelled. Often, there was
little explanation of how the final answers were arrived at was given. To obtain full marks, students had
present sufficient explanation to demonstrate that they understood all of the necessary steps in the solution.
7. Average: 3.7
There were many correct answers to part (a). Many of the incorrect solutions did not recognize the symmetry
of the diagram and tried to use trigonometry or another method without too much success. In part (b),
there were many good solutions presented. The most common error was not solving the problem in enough
generality after building specific sequences which satisfied the conditions.
8. Average: 1.2
In part (a), we were pleased to see most students recognize that (0, −5) was one of the three points of
intersection between the parabola and circle. This was often followed by successful algebra to find expressions
for the other points of intersections and, from this, an expression for the area of the triangle. The next step
was challenging. If the area of the triangle is an integer, it does not necessarily follow that the coordinates
of the points of intersection must be integers. Making this argument in this case in a clear and convincing
way is difficult. Instead, it is probably easier to note that k is at most 10 and then test this small number
of possible values. Part (b) is a lovely question because there are so many possible solutions. Markers were
excited to learn of different approaches even after seeing a large number of papers. Our model solution makes
use of similar triangles which was the most common approach. Can you find a short alternate solution to
this problem by calculating the area of 4XY Z in two different ways?
9. Average: 0.3
It was nice see the correct use of rules of logarithms to simplify the system of equations. After doing this, we
encourage problem solvers to look for clever ways to solve the system other than brute force techniques that
involve only isolating one variable and the substituting the resulting right-hand side into another equation.
These clever techniques are often easier to discover after making a change of variable as illustrated in the
model solutions.
10. Average: 0.1
This is a very difficult question. We did see a good number of correct solutions to part (a) but not many
marks were awarded for the last two parts.
Please visit our website at www.cemc.uwaterloo.ca to download the 2015 Euclid Contest, plus full
solutions.
4
Comments on the Paper
Commentaires sur les épreuves
Commentaires Généraux
Félicitations à tous les participants du Concours Euclide 2015. La note moyenne était 45,4. Nous avons eu le
plaisir de constater que presque tous les élèves ont eu du succès dans les premières questions. De plus, les dernières
parties de ces problèmes présentaient un plus grand défi pour les meilleurs étudiants que l’année dernière. Des
félicitations spéciales vont aux vingt-deux concurrents officiaux qui ont atteint une note supèrieure ou égale à 90
sur 100.
Le Centre d’éducation en mathématiques et en informatique croit fortement qu’il est très important pour les
étudiant(e)s d’apprendre à résoudre des problèmes de mathématiques ainsi que d’apprendre à écrire de bonnes
solutions à ces problèmes. Plusieurs étudiants développent leurs solutions résonablement bien, tandis que d’autres
n’inclus aucune explication avec leurs réponses.
Un grand merci va au comité du concours Euclide qui rassemble annuellement les problèmes du concours et
réussit à accomplir la tâche difficile de concevoir des problèmes accessibles et stimulants sur le même examen.
Un grand merci aux étudiant(e)s qui ont écrit, aux parents qui les ont soutenus et aux enseignant(e)s qui les
ont aidés pour votre participation continue et votre soutien. Nous espérons que vous avez apprécié le concours et
savouré les défis qu’il a présentés. Nous espérons que les concours de mathématiques continuent à nourrir votre
amour et intérêt pour les mathématiques.
Remarques particulières
1. Moyenne: 9.5
Cette question a été bien réussie. Dans la partie (c), on a constaté avec plaisir que ceux et celles qui ont
répondu avaient une bonne compréhension de la notation fonctionnelle.
2. Moyenne: 8,8
Les parties
√ (a) et (b) ont été bien réussies. Dans la partie (b), bon nombre d’élèves ont donné la réponse
erronée 2 − 1 après avoir utilisé l’expression R + 1 pour le rayon du grand cercle donné et la valeur de R
comme réponse. Dans la partie (c), une solution complète devait inclure une description du travail et pas
seulement une série de calculs.
3. Moyenne: 7,2
La plupart des élèves ont réussi la partie (a), soit en ayant recours à un triangle remarquable, soit à l’aide de
la trigonométrie. Ceux et celles qui ont utilisé la base P N du triangle M N P et la hauteur correspondante
de 4 ont bien réussi la partie (b). Certains ont utilisé M N comme base du triangle M N P pour ensuite
déterminer la hauteur correspondante. Certains croyaient à tort que la hauteur était N P .
4. Moyenne: 6,4
La partie (a) a été bien réussie. Dans la partie (b), bon nombre d’élèves ont obtenu l’équation
x3 − (a + 1)x2 + 4x = 0 à partir des équations des courbes et ont factorisé le membre de gauche pour
obtenir x(x2 − (a + 1)x + 4) = 0. Pour que l’équation x2 − (a + 1)x + 4 = 0 admette une racine double,
il faut que son discriminant soit nul. Certains n’ont obtenu qu’une valeur de a en résolvant a + 1 = 4 ou
a + 1 = −4, sans reconnaı̂tre les deux possibilités.
5. Moyenne: 3,9
La plupart des élèves ont bien réussi la partie (a). Certains ont supposé, à tort, que le triangle ADE était un
triangle remarquable 30◦ -60◦ -90◦ . D’autres ont utilisé les mauvais rapports trigonométriques. Bon nombre
d’élèves ont progressé assez bien dans la partie (b), mais ils ont éprouvé de la difficulté à bien justifier leur
démarche. Il leur arrivait souvent d’oublier une des factorisations de 49 (1 · 49 ou 7 · 7) ou une des restrictions
données (par exemple, a < b ou que l’un des nombres de la troisième liste était supérieur à 75).
5
Comments on the Paper
Commentaires sur les épreuves
6. Moyenne: 4,3
La partie (a) a été assez bien réussie. L’erreur la plus commune a été de déterminer le mauvais nombre de
termes qui se répétaient. Dans la partie (b), il fallait beaucoup de rigueur. Beaucoup d’élèves ont omis les
cas x > −1 et x < −1, ce qui ne menait généralement qu’à un seul intervalle. Bon nombre de solutions
faisaient appel à un tableau qui tenait compte des signes des divers facteurs de l’expression et observaient
les valeurs de l’expression entre certaines valeurs critiques. Ces tableaux étaient souvent peu ou mal définis.
De plus, on indiquait rarement comment la réponse était obtenue. Pour obtenir le maximum de points, les
élèves doivent décrire et expliquer leur démarche de manière à démontrer qu’elles et ils comprennent toutes
les étapes de leur solution.
7. Moyenne: 3,7
Bon nombre d’élèves ont réussi la partie (a). Dans les solutions erronées, les élèves n’ont pas vu la symétrie
de la figure et ont utilisée des approches trigonométriques qui ne menaient nulle part. Dans la partie (b),
un nombre de bonnes solutions ont été présentées. L’erreur la plus commune a été d’examiner des cas
particuliers sans procéder à une approche générale.
8. Moyenne: 1,2
Dans la partie (a), la plupart des élèves ont reconnu que le point (0, −5) était un des trois points d’intersection
de la parabole et du cercle. Bon nombre d’élèves ont poursuivi en déterminant des expressions pour les
coordonnées des autres points d’intersection et d’une autre pour l’aire du triangle. L’étape suivante était
un défi. Si l’aire du triangle est un entier, on ne peut pas conclure que les coordonnées des sommets sont
nécessairement des entiers. Il est difficile, dans ce cas, de le faire d’une façon claire et concise. Il est
probablement plus facile de remarquer que k est inférieur ou égal à 10 et de considérer toutes les valeurs
possibles. La partie (b) est un beau problème, car il admet une variété de solutions. Les correcteurs étaient
épatés de constater de nouvelles solutions, même après en avoir vues beaucoup. Notre solution modèle fait
appel aux triangles semblables, ce qui était l’approche la plus commune. On vous met au défi de trouver
une solution courte qui demande de déterminer l’aire du triangle XY Z de deux façons différentes.
9. Moyenne: 0,3
Il était agréable de constater une utilisation correcte des lois des logarithmes pour simplifier les équations.
Après cette étape, on encourage les élèves à chercher une façon astucieuse pour résoudre le système d’équation
au lieu de tout simplement isoler une inconnue et de reporter l’expression qui en résulte dans les autres
équations. Ces approches astucieuses sont souvent plus faciles à découvrir si on simplifie les équations par
un changement de variables, comme dans les solutions modèles.
10. Moyenne: 0,1
Il s’agissait d’un problème très difficile. On a noté un bon nombre de bonnes solutions de la partie (a), mais
peu de points ont été accordés pour les deux autres parties.
Veuillez visiter notre site Web à www.cemc.uwaterloo.ca pour télécharger le Concours Euclide 2015,
avec solutions complètes.
6
Champions – 2015
Champions – 2015
STUDENTS / ÉLÈVES
Students are listed in alphabetical order. / Les élèves sont nommés en ordre alphabetique.
Plaques
Sina Abbasi
Rongxin Du
Senbo Fan
Heng Xia
Waley Zhang
Richmond Hill H.S.
Marc Garneau C.I.
A.N. Myer S.S.
Sir Winston Churchill S.S.
New Westminster S.S.
Richmond Hill, ON
North York, ON
Niagara Falls, ON
Vancouver, BC
New Westminster, BC
Each plaque winner receives a $500 cash prize from the Centre for Education in Mathematics
and Computing. /
Chaque élève qui reçois une plaque recevra aussi un prix de 500 $ du Centre d’éducation en
mathématiques et en informatique.
Honourable Mentions /
Mentions Honorables
Jeffrey Dawson
Leo Feng
Michael Pang
Dima Paramonov
Fengyang Wang
Ruiming Xiong
Jinhao Xu
Ruizhou Yang
Qingrui Zhang
Yixiao Zhang
Yiwei Zhu
University Transition Program
Vincent Massey S.S.
Fort Richmond C.I.
Marc Garneau C.I.
Sir John A. Macdonald S.S.
Western Canada H.S.
University Hill S.S.
Sir William Mulock S.S.
Woburn C.I.
Bronte College of Canada
Vancouver, BC
Windsor, ON
Winnipeg, MB
North York, ON
Waterloo, ON
Calgary, AB
Burnaby, BC
Vancouver, BC
Newmarket, ON
Scarborough, ON
Mississauga, ON
Each student awarded an Honourable Mention receives a $200 cash prize from the Centre for
Education in Mathematics and Computing. /
Chaque élève qui reçois une mention honorable recevra aussi un prix de 200 $ du Centre d’éducation
en mathématiques et en informatique.
TEAMS / ÉQUIPES
Champion/Première: Marc Garneau C.I.
Second/Deuxième:
Sir Winston Churchill C.I.
Third/Troisième:
Vincent Massey S.S.
Fourth/Quatrième:
Bayview S.S.
Fifth/Cinquième:
University Hill S.S.
North York, ON
Vancouver, BC
Windsor, ON
Richmond Hill, ON
Vancouver, BC
7
Enrollment
Inscription
Number of students registered by province /
Nombre d’étudiants inscrit par province
AB
BC
MB
NB
NL
NS
NT
NU
ON
PE
QC
SK
YT
International
Total
Enrollment/
Inscription
472
2113
252
164
115
238
8
1
9182
34
201
135
3
5366
18284
There were 1499 schools enrolled. / 1499 écoles étaient inscrites.
8
Student Rankings
Score/
Note
100
99
98
97
96
95
94
93
92
91
90
89
88
87
86
85
84
83
82
81
80
79
78
77
76
75
Rank/
Position
1
2
5
6
7
10
15
23
30
36
47
59
70
90
115
135
156
176
218
269
314
349
Classements des élèves
Score/
Note
74
73
72
71
70
69
68
67
66
65
64
63
62
61
60
59
58
57
56
55
54
53
52
51
50
Rank/
Position
408
472
557
645
742
857
972
1122
1272
1422
1607
1793
1989
2172
2348
2573
2821
3089
3365
3652
3930
4247
4557
4883
5224
Score/
Note
49
48
47
46
45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
29
28
27
26
25
Rank/
Position
5577
5938
6301
6683
7059
7418
7771
8119
8449
8822
9166
9476
9806
10133
10439
10748
11074
11359
11645
11920
12169
12428
12645
12852
13063
Score/
Note
24
23
22
21
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
Rank/
Position
13252
13415
13574
13684
13812
13902
13979
14052
14111
14178
14227
14257
14277
14307
14327
14341
14352
14362
14372
14382
14386
14388
N.B. These rankings pertain to official contestants only. /
N.B. Ces rangs ne s’appliquent qu’aux concurrents officiels.
Distribution of Marks / Distribution des points
This chart pertains to official contestants only. / Le graphique s’appliquent qu’aux concurrents officiels.
Number of competitors: 14396
Average Mark: 45.4
Score/
Note
91-100
86-90
81-85
76-80
71-75
66-70
61-65
56-60
51-55
46-50
41-45
36-40
31-35
26-30
21-25
0-20
Percentage of Students/
Pourcentage des ètudiants
0.1
0.3
0.7
1.3
2.7
4.7
6.4
9.1
10.9
12.7
12.2
11.2
10.3
7.9
5.2
4.1
Cumulative Percentage/
Pourcentage accumulé
0.1
0.4
1.1
2.4
5.1
9.9
16.3
25.4
36.3
49.0
61.3
72.5
82.8
90.7
95.9
100.0
9
2015
Euclid Contest/Concours Euclide
Team Honour Roll/Palmarès d'équipes
Rank/Rang School/École
City/Ville
Score/Note
1
2
3
4
5
6
6
8
8
10
11
12
13
13
15
16
17
17
17
17
21
21
23
24
25
25
25
25
29
29
31
32
33
33
35
35
35
35
35
40
41
41
43
44
44
44
47
47
47
50
50
North York
Vancouver
Windsor
Richmond Hill
Vancouver
Burnaby
Richmond Hill
Waterloo
Waterloo
New Westminster
Markham
Calgary
Hamilton
Toronto
Vancouver
Burnaby
Winnipeg
Markham
Rothesay
Surrey
Scarborough
Ottawa
Etobicoke
Calgary
Fredericton
Vancouver
Saskatoon
Oakville
Westmount
North York
Mississauga
Surrey
North York
Victoria
Nepean
North York
Halifax
Thornhill
Scarborough
North York
Saskatoon
North York
Oakville
Edmonton
Newmarket
North York
Markham
Port Moody
Thornhill
London
Markham
269
254
253
252
251
249
249
246
246
239
238
237
235
235
233
232
231
231
231
231
230
230
228
227
226
226
226
226
225
225
224
223
222
222
221
221
221
221
221
220
219
219
218
217
217
217
216
216
216
215
215
Marc Garneau C.I.
Sir Winston Churchill S.S.
Vincent Massey S.S.
Bayview S.S.
University Hill S.S.
Moscrop S.S.
Richmond Hill H.S.
Sir John A. Macdonald S.S.
Waterloo C.I.
New Westminster S.S.
Unionville H.S.
Western Canada H.S.
Columbia Int'l College
University of Toronto Schools
University Transition Program
Burnaby North S.S.
Fort Richmond C.I.
Pierre Elliott Trudeau H.S.
Rothesay Netherwood School
Semiahmoo S.S.
Albert Campbell C.I.
Nepean H.S.
Bishop Allen Academy
Sir Winston Churchill H.S.
Fredericton H.S.
St. George's School
Walter Murray C.I.
White Oaks S.S.
Marianopolis College
Royal Crown Academic School
The Woodlands Sec. School
Fleetwood Park S.S.
A.Y. Jackson S.S.
St. Michael's Univ. School
Bell H.S.
Don Mills C.I.
Halifax West H.S.
St. Robert C.H.S.
Stephen Leacock C.I.
York Mills C.I.
Centennial Collegiate
Earl Haig S.S.
Appleby College
Old Scona Academic H.S.
Sir William Mulock S.S.
Victoria Park C.I.
Markville S.S.
Port Moody Sr. S.S.
Thornhill S.S.
A.B. Lucas S.S.
Bur Oak S.S.
2015
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Name/Nom
School/École
Group I/Groupe I
Scores/Notes 98 - 92
ABBASI
DU
FAN
XIA
ZHANG
SINA
RONGXIN
SENBO
HENG
WALEY
Group II/Groupe II
DAWSON
FENG
GUO
LI
LIU
PANG
PARAMONOV
SHI
WANG
XIONG
XU
YANG
ZHANG
ZHANG
ZHU
Grade/Niveau
Richmond Hill
North York
Niagara Falls
Vancouver
New Westminster
12
12
11
11
11
Vancouver
Windsor
North York
Windsor
Richmond Hill
Winnipeg
North York
Calgary
Waterloo
Calgary
Burnaby
Vancouver
Newmarket
Scarborough
Mississauga
12
10
11
12
12
12
12
10
12
10
11
10
12
12
12
Abbotsford
Saskatoon
Ottawa
Burnaby
Scarborough
Scarborough
Surrey
Mississauga
Burnaby
Waterloo
Waterloo
North York
North York
Richmond Hill
Thornhill
Burnaby
Burnaby
Vancouver
North York
North York
Vancouver
London
Rothesay
North York
Thornhill
Hamilton
12
11
12
11
11
9
11
12
12
12
12
12
9
12
12
12
11
12
9
9
12
9
11
10
12
12
Scores/Notes 91 - 86
JEFFREY
LEO
JENNIFER
ANDREW
BINGRUO
MICHAEL
DIMA
JANE
FENGYANG
RUIMING
JINHAO
RUIZHOU
QINGRUI
YIXIAO
YIWEI
Group III/Groupe III
AHN
CAO
CHEN
CHO
CHOW
CHOW
CUI
DENG
FAN
ILYAS
JIANG
KHESIN
LI
LI
LI
LIM
LIU
LU
MO
QIN
SHEN
SUN
SUN
SUN
TIAN
WANG
Richmond Hill H.S.
Marc Garneau C.I.
A.N. Myer S.S.
Sir Winston Churchill S.S.
New Westminster S.S.
Location/Endroit
University Transition Program
Vincent Massey S.S.
Marc Garneau C.I.
Vincent Massey S.S.
Bayview S.S.
Fort Richmond C.I.
Marc Garneau C.I.
Sir Winston Churchill H.S.
Sir John A. Macdonald S.S.
Western Canada H.S.
University Hill S.S.
Sir William Mulock S.S.
Woburn C.I
Bronte College Of Canada
Scores/Notes 85 - 82
SUNGIL
RICHARD
JOHNSON
YOUNG
RICHARD
STEVEN
CHENXUAN BOB
YIZHOU
ZI YING
ANDREW
SHENGZHUO
ANDREY
MICHAEL
QIYANG
YAN
JEANNE
IVON
HONG YI
GEORGE
BILL
EUGENE
KAI
LANFENG
LINYIN
TIAN
ZHI
Yale S.S.
Walter Murray C.I.
Nepean H.S.
Moscrop S.S.
Albert Campbell C.I.
Albert Campbell C.I.
Semiahmoo S.S.
The Woodlands Sec. School
Moscrop S.S.
Waterloo C.I.
Waterloo C.I.
Marc Garneau C.I.
Bayview S.S.
St. Robert C.H.S.
Burnaby North S.S.
Moscrop S.S.
University Hill S.S.
Sir Winston Churchill S.S.
A.B. Lucas S.S.
Rothesay Netherwood School
Victoria Park C.I.
Thornhill S.S.
Columbia Int'l College
2015
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group III/Groupe III
WEI
YE
YUAN
ZHAO
ZHOU
ZHOU
ZHOU
Scores/Notes 85 - 82
ZIJIAN
XIZE
MORGAN
BOAN
DANIEL
JOHN
YUNFAN
Group IV/Groupe IV
BAHRI
BATEMAN
BI
CHEN
CHOPRA
DIAO
DING
DING
DOAD
FENG
FENG
GUO
HAN
HARRY
HONG
HUANG
KARAPETOV
KUMANAN
LAI
LAI
LIM
LIN
LIU
LIU
LUO
PANG
POPOVIC
REN
RONG
RONG
SHEN
SHEN
SHI
SHI
SHI
SUN
TAN
TIAN
WANG
WANG
WANG
WANG
WEI
WEINERMAN
WENG
Unionville H.S.
Braemar College
Bayview S.S.
St. George's School
Centennial Collegiate
University of Toronto Schools
Oakville Trafalgar H.S.
Markham
Toronto
Richmond Hill
Vancouver
Saskatoon
Toronto
Oakville
12
12
11
11
10
12
11
Waterloo
Toronto
Westmount
Windsor
Richmond Hill
Markham
Oakville
Vancouver
Windsor
Regina
Victoria
North York
London
Scarborough
Richmond Hill
North York
Oakville
Waterloo
Markham
Oakville
Halifax
Toronto
North York
Etobicoke
Vancouver
North York
Windsor
Etobicoke
North York
Toronto
Hamilton
Guelph
Vancouver
Surrey
Oakville
Waterloo
North York
Etobicoke
Fall River
North York
Vancouver
Markham
Waterloo
Victoria
Nepean
12
12
13
11
10
11
12
11
12
11
11
9
11
12
12
10
12
10
12
11
12
12
9
11
11
10
12
12
12
9
12
12
12
12
11
11
11
12
11
11
9
12
10
12
12
Scores/Notes 81 - 77
ZAMIL
GREGORY
WEI GUANG
JIANYE
PARTH
JOSEPH
TOM
YOYO
JAGROOP
JIMMY
ZIYI
THOMAS
CHONG HAO
CAO
FRANK
YUSHU
ARTYOM
VAISHALI
XINGYU
ZHENGXUAN
SEOKHO
ZIYI
JEFFREY
XURAN
GONGMING
LAWRENCE
ALEX
ZHE
FRIEDA
VICTOR
HENGHUI
SI CHEN
DYLAN
MENG FAN
XIRAN
YUXUAN
XIANG
LUYI
LINCHUAN
RUOHONG
VICTOR
YUANXIN
BEN
CHAIM
JAMESON
Sir John A. Macdonald S.S.
Royal St. George's College
Marianopolis College
Vincent Massey S.S.
Bayview S.S.
Unionville H.S.
White Oaks S.S.
Crofton House School
Vincent Massey S.S.
Luther College
St. Michael's Univ. School
L'Amoreaux C.I.
Bayview S.S.
Marc Garneau C.I.
Chetan Mannige
Sir John A. Macdonald S.S.
Can-Lakeshore Academy
Holy Trinity C.S.S.
Halifax West H.S.
Clinton Int'l College
Marc Garneau C.I.
Bishop Allen Academy
Sir Winston Churchill S.S.
Marc Garneau C.I.
Vincent Massey S.S.
Bishop Allen Academy
Marc Garneau C.I.
University of Toronto Schools
Columbia Int'l College
Centennial C. and V.I.
Eric Hamber S.S.
Fleetwood Park S.S.
Appleby College
Sir John A. Macdonald S.S.
Earl Haig S.S.
Imperial College Of Toronto
Lockview H.S.
A.Y. Jackson S.S.
Sir Winston Churchill S.S.
Pierre Elliott Trudeau H.S.
Waterloo C.I.
Mount Douglas S.S.
Bell H.S.
2015
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group IV/Groupe IV
WONG
WU
XU
XU
YANG
YING
ZHAI
ZHANG
ZHANG
ZHANG
ZHANG
ZHANG
ZHOU
ZOU
Scores/Notes 81 - 77
JONATHAN
YULUN
FREDDY
HANYONG
ANQI
CHENGLIANG
SABRINA
KEVIN
LILLIAN
RUOXI
XIAOTIAN
YONG XU
WEITAO
WILLIAM
Group V/Groupe V
AN
AN
ARORA
BAI
BORETSKY
BUMBULIS
CAO
CHE
CHEN
CHEN
CHEN
CHEN
CHEN
CHEN
CHEN
CHENG
CHENG
COHN
CUI
DIVIC
DU
ELDER
FANG
FENG
FOLEY
FRANCIS
FULTZ
GOLDTHORPE
HAN
HE
HESSAMI
HUANG
HUANG
HUANG
ILIASHENKO
JOHNSON
JOUN
KANG
Bayview S.S.
Rothesay Netherwood School
Sir Winston Churchill S.S.
York Mills C.I.
Fleetwood Park S.S.
Cowichan Sr. S.S.
University Transition Program
Marianopolis College
Markville S.S.
Stephen Leacock C.I.
Royal Crown Academic School
Bayview S.S.
Craig Kielburger S.S.
Pierre Elliott Trudeau H.S.
Richmond Hill
Rothesay
Vancouver
North York
Surrey
Duncan
Vancouver
Westmount
Markham
Scarborough
North York
Richmond Hill
Milton
Markham
12
12
12
12
12
12
12
13
11
12
12
11
12
12
Waterloo
Richmond Hill
Calgary
Richmond Hill
Montreal
Waterloo
Richmond Hill
Scarborough
Scarborough
Ottawa
Scarborough
Markham
Vancouver
Coquitlam
Richmond Hill
Charlottetown
Vancouver
King City
North York
Toronto
Mississauga
Nepean
Fredericton
North York
Waterloo
Toronto
Truro
Edmonton
Ottawa
Winnipeg
North York
North York
Richmond Hill
Scarborough
Saint-Lambert
Vancouver
Burnaby
Oakville
12
12
12
12
12
12
12
12
12
12
11
12
12
12
10
11
11
12
12
12
12
12
12
12
11
12
12
12
11
11
9
12
10
11
12
11
10
11
Scores/Notes 76 - 72
QIN
SEONG YEOL
RAHUL
JAMES
JONATHAN
ERIK
JINGZHUO
XINTONG
BAILIN
FRANCIE
JASPER
MING YUE
SIYAN
XINYI
ZHONGQI
JEFFERY
RUIZHE
DAVID
XUTAO
STEFAN
ZHUANGJIN
GEOFFREY
YIHUI
PETER
ALEX
DAVID
MATTHEW
ZACHARIAH
KAIBING
ZHENGJIANG
ELNAZ
BRYAN
TIANQI
YUJIE
ANTON
EVAN
JOO HONG
DAVID
Waterloo C.I.
St. Theresa of Lisieux C.H.S.
Sir Winston Churchill H.S.
Richmond Hill H.S.
Dawson College
Waterloo C.I.
Bayview S.S.
Birchmount Park C.I.
New Oriental Int'l College
Nepean H.S.
Sir John A. Macdonald C.I.
Bur Oak S.S.
University Hill S.S.
Pinetree S.S.
Bayview S.S.
Colonel Gray Sr. H.S
Prince of Wales S.S.
The Country Day School
Royal Crown Academic School
Riverdale C.I.
The Woodlands Sec. School
Bell H.S.
Fredericton H.S.
Marc Garneau C.I.
Sir John A. Macdonald S.S.
University of Toronto Schools
Cobequid Educational Centre
Old Scona Academic H.S.
Glebe Collegiate Institute
St. John's-Ravenscourt School
Marc Garneau C.I.
York Mills C.I.
Bayview S.S.
Stephen Leacock C.I.
Champlain Reg. College - St. L
St. George's School
Burnaby North S.S.
Iroquois Ridge H.S.
2015
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group V/Groupe V
KANG
KAPUSTIN
KIM
KIM
KO
KWON
LAI
LAI
LEE
LEE
LEI
LEWALL
LI
LI
LI
LI
LI
LI
LI
LI
LIN
LIU
LIU
LIU
LIU
LIU
LIU
LOO
LU
LU
MA
MCNE
MENG
MINGXIANG
MIO
PAN
PENG
PETERS
PURCELL
QIAN
QIANG
QIANG
QIU
RAITA
RUSCH
SEO
SHENG
SHI
SHIM
SONG
SONG
SONG
SONG
SUN
TAO
Scores/Notes 76 - 72
RICHARD
NIKITA
ANDREW
YOUNG NAM
JUNGHOON
JASON
ELBERT
RUITAO
EEK SEUNG
JAMES
BILL
JOHNATHAN
DAILIN
DANNING
JIAKI
MINGHAO
MOLLY YI WEI
PEIYANG
RICHARD
WENZHENG
ANDREW
CHEN
CHENGJIN
DAVID
JINGJING
STEPHEN
WENXUAN
NOEL
WENSI
YU SHEN
XURAN
MATTHEW
SHUHENG
CHEN
JONATHAN
KIMI
JASON
JEREMY
SEAN
ZHIWEI
ZIHAN
ZIXIAO
ZIWEI
ALEX
KAI
DEOKHWA
NICOLE
CHUYUAN
KYUSUNG
HENRY
JIE
PHILLIP
YEZI
HAIJING
JUAN
John Ware Jr. H.S.
Richmond Hill H.S.
University of Toronto Schools
R.E. Mountain S.S.
Vincent Massey S.S.
St. Robert C.H.S.
Waterloo C.I.
Northview Heights S.S.
Robert Bateman S.S.
Semiahmoo S.S.
Elgin Park S.S.
Queen Elizabeth H.S.
Don Mills C.I.
Langstaff S.S.
Langstaff S.S.
Franklin College School
Don Mills C.I.
Pierre Elliott Trudeau H.S.
Western Canada H.S.
Columbia Int'l College
University Hill S.S.
Markville S.S.
Fort Richmond C.I.
Mississauga S.S.
Monarch Park C.I.
Bayview S.S.
Unionville H.S.
Western Canada H.S.
New Westminster S.S.
L.V. Rogers S.S.
Glenforest S.S.
Nepean H.S.
Franklin College School
Alexander Mackenzie H.S.
Bayview S.S.
Academie Ste. Cecile Int'l
Moscrop S.S.
Halifax West H.S.
Marc Garneau C.I.
Bond Academy/Bond Int'l Colleg
Langstaff S.S.
Stouffville D.H.S.
Kent School
Richmond Hill H.S.
Aurora H.S.
Vaughan S.S.
Unionville H.S.
Trinity College School
Fredericton H.S.
Old Scona Academic H.S.
Columbia Int'l College
Dundas Valley S.S.
Royal Crown Academic School
Appleby College
Ontario International College
Calgary
Richmond Hill
Toronto
Langley
Windsor
Thornhill
Waterloo
North York
Abbotsford
Surrey
Surrey
Calgary
North York
Richmond Hill
Richmond Hill
Toronto
North York
Markham
Calgary
Hamilton
Vancouver
Markham
Winnipeg
Mississauga
Toronto
Richmond Hill
Markham
Calgary
New Westminster
Nelson
Mississauga
Ottawa
Toronto
Richmond Hill
Richmond Hill
Windsor
Burnaby
Halifax
North York
Scarborough
Richmond Hill
Stouffville
Toronto
Richmond Hill
Aurora
Thornhill
Markham
Port Hope
Fredericton
Edmonton
Hamilton
Dundas
North York
Oakville
Toronto
9
12
12
12
12
11
11
11
11
11
12
12
11
12
12
12
12
12
11
12
9
12
11
12
12
11
12
11
12
11
12
12
12
12
11
12
12
12
12
12
12
11
12
11
12
12
12
12
12
12
12
12
12
12
12
2015
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
Group V/Groupe V
TRINH
UPADHYAYA
VERKHOVSKAYA
WANG
WANG
WANG
WANG
WANG
WANG
WEN
WU
WU
XIAO
XU
XU
XU
XU
YE
YIZHI
YOU
YU
YU
ZENG
ZENG
ZHA NG
ZHANG
ZHANG
ZHANG
ZHANG
ZHAO
ZHOU
ZHU
ZHU
ZHU
ZOU
Scores/Notes 76 - 72
ERIK
TWESH
ANNA
ALLAN
MENGYAN
SHURAN
SHUYI
XINYU
YUE
ERIC
RUINING
WENQI
SCOTT
FURUI
JUNRAN
MONICA
WANLU
MINGFEI
ZHOU
ALEX
ALLY
SIYUE
MUMIN
YIYI
CHANG
JAMES
KE COCO
RUBY
SUSEN
HANYONG
WANYING
JIADING
TONGQI
TONGYI
ZHILING
William Lyon Mackenzie C.I.
Bear Creek S.S.
Western Canada H.S.
Moscrop S.S.
Bishop Allen Academy
A.Y. Jackson S.S.
New Westminster S.S.
Don Mills C.I.
Columbia Int'l College
Moscrop S.S.
Mount Douglas S.S.
University Hill S.S.
Burnaby North S.S.
Walter Murray C.I.
Aurora H.S.
Bayview S.S.
King City S.S.
Ontario International College
Oak Bay S.S.
Burnaby North S.S.
Dr. Norman Bethune C.I.
Bayview S.S.
Walnut Grove S.S.
St. Michael's Univ. School
Canada Fullbright Int'l School
Port Moody Sr. S.S.
Branksome Hall
University of Toronto Schools
Fredericton H.S.
Clinton Int'l College
Gloucester H.S.
Surrey Christian School (Secon
White Oaks S.S.
White Oaks S.S.
Richmond Hill H.S.
North York
Barrie
Calgary
Burnaby
Etobicoke
North York
New Westminster
North York
Hamilton
Burnaby
Victoria
Vancouver
Burnaby
Saskatoon
Aurora
Richmond Hill
King City
Toronto
Victoria
Burnaby
Scarborough
Richmond Hill
Langley
Victoria
Welland
Port Moody
Toronto
Toronto
Fredericton
Toronto
Gloucester
Surrey
Oakville
Oakville
Richmond Hill
12
12
11
12
12
12
11
12
12
10
12
12
12
12
11
11
13
12
11
9
12
11
12
11
12
11
12
12
12
12
12
12
12
12
12
2015
Euclid Contest/Concours Euclide
Team Honour Roll/Palmarès d'équipes
International
Rank/Rang School/École
1
2
3
4
5
5
7
8
9
9
11
12
13
14
14
16
17
17
19
20
20
20
23
24
25
25
27
28
29
30
31
31
33
34
35
36
36
38
39
39
41
42
43
43
45
46
46
48
49
49
City/Ville
Math Trainers Guild of Philippines
Zamboanga City
Chengdu Shude Senior H.S.
Chengdu
ICAE
Troy
Anglo-Chinese School (Independent)
Singapore
British Columbia Academy
Nanjing
WHBC of Wuhan Foreign Lang. Sch.
Wuhan Hubei
Jinling H.S.
Nanjiing
Qingdao Hongguang Foreign Language Coll. Qingdao Shandong
H.S. Affiliated to Nanjing Normal Uni.
Nanjing Jiangsu
NUS H.S. of Mathematics and Science
Singapore
Hangzhou Foreign Language School
Hangzhou
High School aff. to Shanghai Jiao Tong University
Shanghai
Victoria Junior College
Singapore
DaLian Zhongshan Stanford Lang. Train. School
DaLian
Zhangjiagang Ivy Experimental H.S.
Zhangjiagang
Cambridge Int'l Ctr. of Shanghai Normal University
Shanghai
Anglo-Chinese Junior College
Singapore
Nikan
Tehran
Shenyang No 2 School
Shenyang
National Institute of Technology
Beijing
Shanghai Weiyu H.S
Shanghai
Shenzhen Col. of Inter. Education
Shenzhen Guangdong
No.1 M. S. aff. to Central China Normal University
Wuhan
Taylor's College - Subang Jaya Campus
Subang Jaya Selangor
Jinan Foreign Language School
Jinan
The H.S. Affiliated to Renmin Uni. of China
Beijing
Shanghai Guanghua College-Fudan Campus
Shanghai
Ningbo Foreign Language School
Ningbo
Shanghai Pinghe School
Shanghai
SIP Dulwich College United School
Suzhou
High School att'd to Northeast Normal Universit
Changchun
Xi'an Gaoxin No.1 M.S.
Xi'an Shaanxi
Shenzhen Foreign Language School
Shenzhen
Wuxi No1 H.S
Wuxi Jiangsu
U-Link College of Beijing
Beijing
Chongqing Nankai S. S.
Chongqing
Riga State Gymnasium No 1
Riga
Yantai Yew Wah Int'l Education School
Yantai Shangdong
Qingdao #2 Middle School-Int'l Foundation Qingdao
Prog.
Tianjin Teda Maple Leaf Int'l School
Teda Tianjin
Nanchang No 2 High School
Nanchang
Ningbo Xiaoshi H.S.
Ningbo Zhejiang
Confucius International School Qingdao
Shandong
Zhejiang Ivy Academy
Hangzhou
The Pennington School
Pennington
Methodist College Kuala Lumpur
Brickfields Kuala Lumpur
Nanhai Int'l Education Center
Foshan
Guangdong Guangya H.S.
Guangzhou
Canada Hefei No. 1 S. S. (BC offshore school)
Hefei
Dalian Maple Leaf Int'l School - Girls Campus
Dalian Jinshitan
Score/Note
269
268
267
261
259
259
258
257
253
253
251
246
244
243
243
241
240
240
237
236
236
236
235
234
231
231
230
229
228
227
226
226
225
224
223
218
218
217
215
215
214
212
211
211
209
206
206
205
204
204
2015
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Name/Nom
School/École
Group I/Groupe I
Scores/Notes 96 - 91
ANG
BHATTACHARYA
CHEN
HAROON
WANG
WANG
CLYDE WESLEY
ANKAN
ZHAOMENG
ALI
YITONG
ZIYAN
Group II/Groupe II
CAI
CHEN
CHEN
GAO
GE
HE
LIM TIONG SOON
PARK
SY
TEH
TORRE
YANG
ZENG
ZHANG
ZHAO
ZHU
C.A.A. Model School No:2
Jinling H.S.
Chengdu Shude Senior H.S.
Grade/Niveau
Zamboanga City
Troy
Beijing
Karachi
Nanjiing
Chengdu
10
10
11
12
11
11
Beijing
Wuhan Hubei
Beijing
Singapore
Beijing
Ningbo
Zamboanga City
Shanghai
Zamboanga City
Selangor Darul Ehsan
Zamboanga City
Chengdu
Wuhan
Shanghai
Troy
Nanjing
11
12
11
12
12
10
10
10
10
12
9
10
12
11
9
10
Tehran
Wuxi Jiangsu
Shanghai
Wuhan
Hangzhou
Singapore
Hyderabad
Hangzhou
Beijing
Qingdao Shandong
Beijing
Wuhan Hubei
Shanghai
Nanjing Jiangsu
Beijing
Singapore
Beijing
Wuhan Hubei
Baku
Tehran
Bangkok
Wuxi Jiangsu
Nanjing
Nanjing Jiangsu
10
11
11
12
11
10
12
11
11
11
12
11
12
11
9
11
11
11
10
12
12
12
11
10
Scores/Notes 90 - 88
MINGXUAN
MINGQUAN
QIZHAO
YUAN
DAOT ONG
YIJUN
KELSEY
JUNHO
ADRIAN
ANZO
VINCE JAN
ZIXIAO
ZI ANG
YUEJIA
FREDDIE
YUCHEN
Group III/Groupe III
ASADIAN
CHEN
CHEN
CHENG
CHENG
CHEW XUAN DA
DAMERACHARLA
GAO
GUO
HU
LI
LI
LIN
LIU
LIU
LIU
LIU
LU
MAMMADOVA
MOAYYED
PIRIYATAMWONG
SHAO
SHI
SHI
Math Trainers Guild of Philippines
ICAE
Location/Endroit
WHBC of Wuhan Foreign Lang. Sch.
Anglo-Chinese School (Independent)
Ningbo Foreign Language School
Math Trainers Guild of Philippines
Shanghai American School (West Camp
Math Trainers Guild of Philippines
Sunway College-Canadian Int'l Mat.
Math Trainers Guild of Philippines
Chengdu Shude Senior H.S.
No.1 M. S. aff. to Central China No
ICAE
British Columbia Academy
Scores/Notes 87 - 84
AMIRHOSSEIN
JIAXUAN
ZIHAO
JUNJIE
SHIJIE
CLARENCE
BHARGAVI
HANG
HAOWEI
SHIJIA
SHUPENG
ZELIANG
JINGYING
LIXUAN
MENGZHEN
SHIQI
XIAOLING
HANSON
ARZU
KIMIA
PIRIYAKORN
WANYAN
WENZE
YIFAN
Nikan
Wuxi No1 H.S
CIE Centre at Shanghai Experimental
WHBC of Wuhan Foreign Language Scho
Hangzhou Foreign Language School
NUS H.S. of Mathematics and Science
Excel Junior College
Hangzhou Foreign Language School
Qingdao Hongguang Foreign Language
WHBC of Wuhan Foreign Lang. Sch.
H.S. Affiliated to Nanjing Normal U
Beijing National Day School
NUS H.S. of Mathematics and Science
WHBC of Wuhan Foreign Lang. Sch.
Baku European Lyceum
Professor Hesabi H.S.
Triam Udom Suksa School
Wuxi Big Bridge Academy
British Columbia Academy
H.S. Affiliated to Nanjing Normal U
2015
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Group III/Groupe III
SUN
SUNDARRAJ
TANG
TIWARY
WU
WU
XIANG
XIANG
XU
XU
XUE
YAN
ZHANG
Scores/Notes 87 - 84
JIANXIONG
SHRIDHAR
JUNZHE
AKSHAY
FARRELL
SHENYANG
KAIDI
RUIQING
GUOSONG
JINGSHAN
ZIMING
JUN
CHI
Group IV/Groupe IV
ARDEHALI
ARORA
CHEN
CHEN
CHEN
CHENG
DINGN
EDWARD
FUQI
GAN LI MENG
GAO
GOU
HAN
HE
HUANG
HUANG
HUANG
JABA
JIA
LI
LI
LI
LIN
LIU
LIU
LU
LU
LYU
MENG
PAN
PAN
PATUPAT
QUE
RAN
RONG
SONG
TAN
TAO
TAO
Qingdao Hongguang Foreign Language
Chettinad Vidyashram
Chengdu Shude Senior H.S.
Math Trainers Guild of Philippines
Anglo-Chinese School (Independent)
Cambridge Int'l Ctr. of Shanghai No
British Columbia Academy
High School aff. to Shanghai Jiao T
Shenyang No 2 School
Anglo-Chinese School (Independent)
Qingdao Hongguang Foreign Language
Shanghai Weiyu H.S
Qingdao Shandong
Chennai
Chengdu
Delhi
Zamboanga City
Singapore
Shanghai
Nanjing
Shanghai
Shenyang
Singapore
Qingdao Shandong
Shanghai
12
12
11
12
10
12
11
11
11
12
11
12
11
Tehran
Troy
Jinan
Shenzhen Guangdong
Nanjing Jiangsu
Suzhou
Beijing
Singapore
Nanjiing
Singapore
Shanghai
Chengdu
Singapore
Qingdao Shandong
Shenzhen
Shanghai
Wuhan Hubei
Zamboanga City
Zhangjiagang
Guangzhou
Qingdao Shandong
Nanjing Jiangsu
Singapore
Singapore
Shanghai
Shanghai
Beijing
Shenzhen
Shanghai
DaLian
Subang Jaya Selangor
Zamboanga City
Zamboanga City
Qingdao Shandong
Wuhan Hubei
Qingdao Shandong
Singapore
Karamay
DaLian
11
9
10
10
11
12
11
11
11
11
12
11
12
12
11
12
11
10
11
12
11
10
12
12
11
12
12
10
10
11
12
10
9
11
11
11
12
11
11
Scores/Notes 83 - 80
MOHAMMADALI
AJAY
LINXIN
SAINAN
YUXUAN
GUO
KEXIN
JONATHAN
DEQING
LUYA
JUNBIN
YUCHEN
CHUHUI
BAICHUAN
LUX IN
SHUANGYOU
ANDREA
JINGJING
BOJUN
JINKE
ZHIXUAN
YUXUAN
HANG
JIAXIANG
SIFAN
YAN
RUNHE
YUANQI
XINYI
YIYUAN
ALBERT JOHN
SHAQUILLE
ZIHUAN
YU
XIFENG
TIMOTHY
SHIYING
YUXUAN
Nikan
ICAE
Jinan Foreign Language School
Shenzhen Col. of Inter. Education
H.S. Affiliated to Nanjing Normal U
SIP Dulwich College United School
The H.S. Affiliated to Renmin Uni.
NUS H.S. of Mathematics and Science
Jinling H.S.
Victoria Junior College
High School aff. to Shanghai Jiao T
Chengdu Shude Senior H.S.
Victoria Junior College
Qingdao Hongguang Foreign Language
Shenzhen M.S.
WHBC of Wuhan Foreign Lang. Sch.
Math Trainers Guild of Philippines
Zhangjiagang Ivy Experimental H.S.
Guangzhou No 47 Middle School
Qingdao Hongguang Foreign Language
H.S. Affiliated to Nanjing Normal U
Anglo-Chinese Junior College
NUS H.S. of Mathematics and Science
Cambridge Int'l Ctr. of Shanghai No
National Institute of Technology
Shenzhen M.S.
High School aff. to Shanghai Jiao T
DaLian Zhongshan Stanford Lang. Tra
Taylor's College - Subang Jaya Camp
Math Trainers Guild of Philippines
Math Trainers Guild of Philippines
Qingdao Hongguang Foreign Language
WHBC of Wuhan Foreign Lang. Sch.
Qingdao Hongguang Foreign Language
Anglo-Chinese Junior College
Karamay Senior H. S.
DaLian Zhongshan Stanford Lang. Tra
2015
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Group IV/Groupe IV
TJANDRA
WANG
WANG
WANG
WANG
WANG
WANG
WU
WU
XING
XIONG
ZHANG
ZHENG
ZHOU
ZHOU
ZHOU
Scores/Notes 83 - 80
JESSICA
ANZHOU
GUOBIN
MENGQI
MUXING
RUI
YUANWEI
JIAQI
YUMENG
HENGRUI
HAORAN
BORONG
TONG
XUANYU
YUDONG
ZIHAN
Group V/Groupe V
CAI
CHAN
CHAN
CHAN
CHEN
CHEN
CHEN
CHEN
CHEN
CHEN
CHEN
CHEN
CHI
CUI
DING
DUOLIKUN
FAN
FAN
FANG
FANG
FANG
GENG
HAN
HU
HUANG
HUANG
HUANG
HUANG
HUANG
JIN
KEH
LEE
LI
LI
LI
LI
Victoria Junior College
Victoria Junior College
Chengdu Shude Senior H.S.
Hangzhou Foreign Language School
H.S. Affiliated to Nanjing Normal U
Qingdao Hongguang Foreign Language
Anglo-Chinese School (Independent)
Shenyang No 2 School
Shenzhen M.S.
Chengdu Shude Senior H.S.
Xi'an Gaoxin No.1 M.S.
Chengdu Shude Senior H.S.
Hangzhou Foreign Language School
Zhangjiagang Ivy Experimental H.S.
Qingdao Hongguang Foreign Language
Singapore
Singapore
Chengdu
Hangzhou
Nanjing Jiangsu
Shanghai
Qingdao Shandong
Singapore
Shenyang
Shenzhen
Chengdu
Xi'an Shaanxi
Chengdu
Hangzhou
Zhangjiagang
Qingdao Shandong
12
12
11
11
12
12
11
11
12
11
11
11
12
11
11
10
Hangzhou
Lexington
Singapore
Subang Jaya Selangor
Nanjing
Beijing
Hangzhou
Chengdu
Qingdao Shandong
Beijing
Chengdu
Shanghai
Nanjing
Zhenjiang
Nanjing
Urumqi
NINGBO ZHEJIANG
Singapore
Shanghai
Singapore
Beijing
Qingdao Shandong
Nanjing Jiangsu
Hangzhou
Guangzhou Guangdong
Zhangjiagang
Chengdu
Wuhan Hubei
Zhangjiagang
Shenzhen Guangdong
Zamboanga City
Troy
Beijing
Wuhan
Changchun
Shanghai
11
11
11
12
11
12
11
11
11
10
11
11
11
12
11
11
12
10
12
10
12
11
11
11
10
11
13
11
11
11
10
9
Scores/Notes 79 - 76
MINGYI
CLIVE
JENSEN
LI JUAN
DI
JENNIFERJOYC
MING YUAN
XIAO
XIAO
YI
YONGYAO
YUEEF
ZINAN
ZHIHAN
YUE
DANIER
LIWETN
MATTHEW
SHIHAN
WENFEI
XINDI
QINGXIN
XINYI
XICHEN
DEXIN
HANRUI
JINGWEI
SICHENG
YIFAN
YUMING
SEDRICK
JUSTIN
SIMING
WANXIN
XINDA
YANJIA
Hangzhou Foreign Language School
Lexington H. S.
Anglo-Chinese School (Independent)
Taylor's College - Subang Jaya Camp
British Columbia Academy
National Institute of Technology
Hangzhou Foreign Language School
Chengdu Shude Senior H.S.
Qingdao Hongguang Foreign Language
U-Link College of Beijing
Chengdu Shude Senior H.S.
Shanghai Guanghua College-Fudan Cam
British Columbia Academy
Maple Leaf Int'l School - Zhenjiang
British Columbia Academy
Urumqi Foreign Language School
Ningbo Univ. Z.J.J.C. A-LEVEL Ctr
NUS H.S. of Mathematics and Science
NUS H.S. of Mathematics and Science
Qingdao Hongguang Foreign Language
H.S. Affiliated to Nanjing Normal U
Hangzhou Foreign Language School
The Affiliated H.S. of South China
Zhangjiagang Ivy Experimental H.S.
Chengdu Shude Senior H.S.
WHBC of Wuhan Foreign Lang. Sch.
Zhangjiagang Ivy Experimental H.S.
Shenzhen Col. of Inter. Education
Math Trainers Guild of Philippines
ICAE
No.1 M. S. aff. to Central China No
High School att'd to Northeast Norm
12
12
11
2015
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Group V/Groupe V
LI
LIN
LIN
LING
LIU
LIU
LIU
LIU
LIU
LIU
MA
MA
MATHIALAGAN
MODI
NAM
OU
PARK
PENG
POPOVS
QI
RANGANATHAN
RAO
REN
SHAHANE
SHAN
SHIYI
SHVARTSZAYD
SONG
SUN
SUN
SVOBODA
TANG
TAO
TAO
VU HIEU
WANG
WANG
WANG
WANG
WANG
WANG
WEI
WENG
WENG
WU
XI
XIE
XU
XU
YANG
YANG
YANG
YAO
YAO
YIN
Scores/Notes 79 - 76
ZHEN
LUOZHIYU
ZI KHANG
HU HAO
CUNHAO
DANYI
JIANIAN
KAIGE
YILE
ZIYUAN
WENYUAN
YUXIN
SURYA
NEEL
JUYUN
TINGTING
JIN HWAN
CHENCHEN
ALEKSEJS
RUIXIANG
ARVIND K
ZHUN
YUHUA
KUVAM
BINGZHAO
LIU
MATVEY
YILIN
RUIJIA
SHUANG
IGOR
FENGMIN
JUN YU
ZIXI
NGUYEN
HAOYUE
JIANZHI
JIREN
KUNLIN
XINJIE
ZHE
TIANXIAO
JUE
YUCHENG
WENXI
HAOHANG
CHUNYANG
SHUNING
YUAN
QIAOYU
TIANYANG
YUNFAN
RUIYANG
YUE
ZIXIN
Anglo-Chinese School (Independent)
Sunway College-Canadian Int'l Mat.
Anglo-Chinese Junior College
Chengdu Shude Senior H.S.
Guiyang No.1 H.S.
The H.S. Affiliated to Renmin Uni.
Chongqing Nankai S. S.
Jinling H.S.
Hangzhou Foreign Language School
NUS H.S. of Mathematics and Science
ICAE
Shanghai American School (West Camp
Shenzhen M.S.
Yantai Yew Wah Int'l Education Scho
Shanghai Weiyu H.S
Riga State Gymnasium No 1
Beijing National Day School
Ecole Mondiale World School
Chengdu Shude Senior H.S.
NUS H.S. of Mathematics and Science
ICAE
Wuhan Maple Leaf Int'l School
English Language School No7 with
Qingdao Hongguang Foreign Language
Victoria Junior College
DaLian Zhongshan Stanford Lang. Tra
Gymnasium No.2
Hangzhou Foreign Language School
National Institute of Technology
Qingdao Hongguang Foreign Language
Anglo-Chinese School (Independent)
Chengdu Shude Senior H.S.
Nanchang No 2 High School
Hangzhou Foreign Language School
DaLian Zhongshan Stanford Lang. Tra
Beijing National Day School
Shanghai Pinghe School
Hangzhou Foreign Language School
Tsinghua Int'l School
British Columbia Academy
Jinan Foreign Language School
Shanghai Guanghua College-Fudan Cam
Shenzhen Foreign Language School
Tianjin Teda Maple Leaf Int'l Schoo
WHBC of Wuhan Foreign Lang. Sch.
British Columbia Academy
Beijing
Singapore
Selangor Darul Ehsan
Singapore
Chengdu
Guiyang Guizhou
Beijing
Beijing
Chongqing
Shanghai
Nanjiing
Hangzhou
Singapore
Troy
Shanghai
Shenzhen
Yantai Shangdong
Shanghai
Riga
Beijing
Mumbai
Chengdu
Singapore
Troy
Beijing
Wuhan Hubei
Perm
Qingdao Shandong
Singapore
DaLian
Odesa
Hangzhou
Beijing
Qingdao Shandong
Singapore
Chengdu
Nanchang
Hangzhou
Beijing
DaLian
Beijing
Beijing
Shanghai
Hangzhou
Beijing
Beijing
Nanjing
Jinan
Shanghai
Shenzhen
Teda Tianjin
Shanghai
Wuhan Hubei
Nanjing
Shanghai
12
10
12
11
11
12
11
11
10
12
11
11
12
9
12
11
11
11
11
11
11
11
12
10
13
12
10
11
11
11
12
11
12
12
10
13
10
11
12
11
11
10
10
11
12
12
11
11
11
11
12
12
10
11
11
2015
Euclid Contest/Concours Euclide
Student Honour Roll/Palmarès d'étudiants
International
Group V/Groupe V
YOU
YU
YU
YU
YUAN
YUE
ZENG
ZENG
ZENG
ZHANG
ZHANG
ZHANG
ZHANG
ZHAO
ZHAO
ZHENG
ZHOU
ZHOU
ZHU
Scores/Notes 79 - 76
TIANYU
QINYING
ZHUO
ZIJUN
HAOSEN
ZUO
BINGSONG
XIANGYUAN
YIJIE
DANYANG
HONGYI
LIJIA
PENGCHENG
HONGXIANG
XUNRUI
BRYAN
LANXIANG
ZIHAN
YIJUN
Shenzhen Col. of Inter. Education
Qingdao Hongguang Foreign Language
DaLian Zhongshan Stanford Lang. Tra
Hangzhou Foreign Language School
Chengdu Shude Senior H.S.
Victoria Junior College
Shenzhen M.S.
ICAE
Beijing National Day School
Confucius International School Qing
Chengdu Shude Senior H.S.
High School aff. to Shanghai Jiao T
Beijing
Shenzhen Guangdong
Beijing
Qingdao Shandong
DaLian
Hangzhou
Chengdu
Beijing
Shanghai
Singapore
Shanghai
Shanghai
Shenzhen
Troy
Beijing
Shandong
Chengdu
Shanghai
Shanghai
12
11
12
11
11
11
11
12
11
12
11
11
10
9
11
10
11
11
11
Unofficial Results
Résultats non-officiels
UNOFFICIAL STUDENTS AT SCHOOLS IN CANADA /
ÉLÈVES NON-OFFICIEL DANS LES ÉCOLES AU CANADA
SCORES / NOTES 100 - 80
Name/Nom
AUBEKEROV
CHEN
CHEN
DAO
JIA
QIAN
RUAN
WANG
ZHANG
ZHANG
ZHU
DANIYAR
YU
YUE
SHUO
KEVIN
WILLIAM
XINGCHI
YESHENG
YUXUAN
ZHENGMIN
LI
School/École
Rutherford Private School
London Int’l Academy
Rockway Mennonite C.I.
Earl Haig S.S.
Lisgar C.I.
Bayview S.S.
Bernice MacNaughton H.S.
Bayview S.S.
Canada Int’l College
Ontario International College
Metropolitan Preparatory Academy
Location/Endroit
Concord, ON
London, ON
Kitchener, ON
North York, ON
Ottawa, ON
Richmond Hill, ON
Moncton, NB
Richmond Hill, ON
Scarborough, ON
Toronto, ON
North York ON