2009 Results Pascal Contest Cayley Contest Fermat

2009 Results Pascal Contest Cayley Contest Fermat

Canadian
Mathematics
Competition
An activity of the Centre for
Education in Mathematics and Computing,
University of Waterloo, Waterloo, Ontario
2009
Results
Pascal Contest
(Grade 9)
Cayley Contest
(Grade 10)
Fermat Contest
(Grade 11)
Avec la contribution de:
Concours
canadien de
mathématiques
Une activité du Centre d’éducation
en mathématiques et en informatique,
Université de Waterloo, Waterloo, Ontario
2009
Résultats
Concours Pascal
(9e année – Sec. III)
Concours Cayley
(10e année – Sec. IV)
Concours Fermat
(11e année – Sec. V)
Avec la participation de:
c
2009
Centre for Education in Mathematics and Computing
Competition Organization
Organisation du Concours
Centre for Education in Mathematics and Computing Faculty and Staff /
Personnel du Concours canadien de mathématiques
Ed Anderson
Lloyd Auckland
Terry Bae
Janet Baker
Steve Brown
Jennifer Couture
Frank DeMaio
Marie-Pascale Desjardins
Fiona Dunbar
Jeff Dunnett
Mike Eden
Barry Ferguson
Judy Fox
Steve Furino
Sandy Graham
Angie Hildebrand
Judith Koeller
Joanne Kursikowski
Angie Murphy
Dean Murray
Jen Nissen
J.P. Pretti
Linda Schmidt
Kim Schnarr
Jim Schurter
Carolyn Sedore
Ian VanderBurgh
Troy Vasiga
2
Competition Organization
Organisation du Concours
Problems Committees / Comités des problèmes
Pascal Contest / Concours Pascal
Wally Webster (Chair / président), Dashwood, ON
Lloyd Auckland, St. Thomas, ON
Janet Christ, Walter Murray C.I., Saskatoon, SK
Nerissa Coronel, St. Marguerite d’Youville C.S.S., Brampton, ON
JP Pretti, University of Waterloo, Waterloo, ON
Jim Schurter, University of Waterloo, Waterloo, ON
Tyler Somer, Kitchener, ON
Anna Spanik, Halifax West H.S., Halifax, NS
Cayley Contest / Concours Cayley
Jeff Anderson (Chair / président), Forest Heights C.I., Kitchener, ON
Tom Barker, Stratford, ON
Steve Furino, University of Waterloo, Waterloo, ON
Shawn Godin, Cairine Wilson S.S., Orleans, ON
Catherine Haines, Toronto, ON
Christopher Ing, Vincent Massey S.S., Windsor, ON
Jack Koenka, Toronto, ON
Jen Nissen, University of Waterloo, Waterloo, ON
Fermat Contest / Concours Fermat
Paul Fennell (Chair / président), London, ON
Fiona Dunbar, University of Waterloo, Waterloo, ON
Steve Lau, John Diefenbaker S.S., Hanover, ON
Cliff Lelievre, Oakville, ON
Dean Murray, University of Waterloo, Waterloo, ON
Alexandru Pintilie, Crescent School, Toronto, ON
Dan Schnabel, Vaughan S.S., Thornhill, ON
David Shepherd, Ravenna, ON
3
Foreword
Avant-Propos
The Centre for Education in Mathematics and Computing is proud to once again be the major sponsor of the
Canadian Mathematics Competition this year. The year 2009 marks the 47th year of Contests produced by the
Canadian Mathematics Competition.
Our congratulations go to all who participated in this year’s Pascal, Cayley and Fermat Contests. This year’s
Contests were resounding successes, with average of 87.9, 90.0 and 85.1 across the three Contests. The number of
students with perfect papers on the three Contests were 5, 19 and 3. We are very pleased with these results. The
overall number of students writing this year’s papers showed a small increase over that from 2008.
Again this year, individual school results were available online in “real time” as we scanned and marked forms.
As a result, we were able to have some students’ scores available within two days of the Contests. We hope that
it is helpful to you to get such quick feedback.
As always, we would like to thank the hard-working Problems Committees. Most of the members of these Committees are active secondary school teachers from across Canada who volunteers their time and contribute dozens
of hours of expertise. Without their intriguing and sometimes amusing problems, these Contests would not be
possible.
We would also like to thank all participants, both teachers and students. We hope that the papers provided
you with some interesting mathematics to think about and play with. Thank you for your support! Please continue to encourage your colleagues and fellow students to become involved in our activities.
Le Centre d’éducation en mathématiques et en informatique à encore une fois le plaisir d’être un majeur supporter du Concours canadien de mathématiques. L’année 2009 marque la 47e année de concours produit par le
Concours canadien de mathématiques.
Nos félicitations vont à tous les participants du Concours Pascal, Cayley et Fermat de cette année. Les Concours de cette année retentissaient de succès, avec des moyennes de 87,9, 90,0 et 85,1 à travers les trois Concours.
Le nombre d’étudiants possédant un concours parfait était de 5, 19 et 3. Nous sommes satisfait de ces résultats.
L’ensemble du nombre de participants cette année a montré une petite augmentation comparée à 2008.
Encore une fois cette année, les résultats d’école étaient disponible en ligne au fur et à mesure que nous avions
balayé et corrigé les formulaires de réponses. Par conséquent, nous avions les résultats pour beaucoup des étudiants
disponibles deux jours après les Concours. Nous espérons qu’il vous est utile de recevoir des résultats aussi rapidement.
Nous aimerions surtout remercier les Comités de problèmes pour leur dur travail. La plupart des membres de ces
Comités sont des enseignant(e)s d’école secondaire actifs d’un bout à l’autre du Canada qui offre leur temps et
contribuent des douzaines d’heures d’expertise. Sans leurs problèmes perspicaces et amusants, ces Concours ne
seraient pas possibles.
Nous aimerions remercier aussi tous les participants incluant les enseignants et les étudiants. Nous espérons
que les concours vous ont offert des mathématiques intéressantes qui vous ont amusées et portées à réfléchir.
Merci pour votre soutien continué!
4
Enrollment
Inscription
Number of schools registered by province /
Nombre d’écoles inscrit par province
NL
NS
NB
PE
QC
ON
MB
SK
AB
BC
International
Total
Pascal
55
38
32
7
105
664
46
38
87
199
68
Cayley
50
28
31
4
102
641
47
35
39
188
74
Fermat
50
28
32
4
103
642
48
35
46
184
72
1339
1239
1244
Number of students registered by province /
Nombre d’étudiants inscrit par province
NL
NS
NB
PE
QC
ON
MB
SK
AB
BC
International
Pascal
1114
1305
749
184
3214
14699
1404
707
2646
5858
2601
Cayley
818
620
745
73
2986
12039
990
583
766
4831
2338
Fermat
724
612
558
66
2548
10502
838
516
726
4277
1829
Total
34481
26789
23196
Total number of students enrolled / Nombre d’inscriptions individuelles: 84466
5
Champions – 2009
Champions – 2009
2009 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMS
PALMARÈS INDIVIDUEL ET PALMARÈS PAR ÉQUIPE 2009
PASCAL CONTEST / CONCOURS PASCAL
STUDENTS /ÉLÈVES
Students are listed in alphabetical order / Les élèves sont nommés en ordre alphabetique
Gold Medals
Médailles d’or
ANQI DONG
ANDY LI
MATHIEU NASSIF
COLIN TA
HENG TANG
School
École
Walter Murray C.I.
Moscrop S.S.
College Jean de Brebeuf
Windermere S.S.
Bayview S.S.
Location
Endroit
Saskatoon
Burnaby
Montreal
Vancouver
Richmond Hill
Grade
Niveau
9
9
9
9
9
TEAMS / ÉQUIPES
Champion / Première
Second / Deuxième
Third / Troisième
Fourth / Quatrième
Fifth / Cinquième
School
École
University of Toronto Schools
College Jean de Brebeuf
Walter Murray C.I.
Glenforest S.S.
Colonel By S.S.
Location
Endroit
Toronto
Montreal
Saskatoon
Mississauga
Gloucester
6
Score
Note
427
424
422
421
420
Champions – 2009
Champions – 2009
2009 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMS
PALMARÈS INDIVIDUEL ET PALMARÈS PAR ÉQUIPE 2009
CAYLEY CONTEST / CONCOURS CAYLEY
STUDENTS /ÉLÈVES
Students are listed in alphabetical order / Les élèves sont nommés en ordre alphabetique
Gold Medals
Médailles d’or
JOSEPH ALACCHI
KEVIN CHU
JAY DOU
JIMMY FANG
AILEEN GAO
LINCOLN GUO
SHANE HU
LEO LAI
TIAN LAN
ELLEN LEE
XIN NING
KRISS PETROUNOV
SIMON YOUNAN
STEVEN YU
JOE ZENG
ERIC ZHAN
JASMINE ZHANG
DONG CHENZHOU
ANANDA ZHU
School
École
Loyola H.S.
Moscrop S.S.
Moira S.S.
St. Robert C.H.S.
Sir Winston Churchill S.S.
University of Toronto Schools
Marc Garneau C.I.
Point Grey S.S.
Northern S.S.
St. Francis Xavier S.S.
A.Y. Jackson S.S.
Marc Garneau C.I.
St. Francis Xavier S.S.
Pinetree S.S.
Don Mills C.I.
University of Toronto Schools
Bayview S.S.
E.S. St. Luc
John Fraser S.S.
Location
Endroit
Montreal
Burnaby
Belleville
Thornhill
Vancouver
Toronto
North York
Vancouver
Toronto
Mississauga
North York
North York
Mississauga
Coquitlam
North York
Toronto
Richmond Hill
Montreal
Mississauga
Grade
Niveau
10
10
10
10
10
9
10
8
10
10
10
10
10
9
10
9
10
10
10
TEAMS / ÉQUIPES
Champion / Première
Second / Deuxième
Third / Troisième
Fifth / Cinquième
School
École
Marc Garneau C.I.
University of Toronto Schools
Don Mills C.I.
Northern S.S.
E.S. St. Luc
Sir Winston Churchill S.S.
Location
Endroit
North York
Toronto
North York
Toronto
Montreal
Vancouver
7
Score
Note
444
442
436
436
434
434
Champions – 2009
Champions – 2009
2009 STUDENT CHAMPIONS AND CHAMPIONSHIP TEAMS
PALMARÈS INDIVIDUEL ET PALMARÈS PAR ÉQUIPE 2009
FERMAT CONTEST / CONCOURS FERMAT
STUDENTS /ÉLÈVES
Students are listed in alphabetical order / Les élèves sont nommés en ordre alphabetique
Gold Medals
Médailles d’or
LIZ CHEN
ROBIN CHENG
JAMES LAM
JAMES RICKARDS
MARIYA SARDARLI
School
École
Walter Murray C.I.
Pinetree S.S.
E.S. Antoine Brossard
Colonel By S.S.
McKernan J.H.S.
Location
Endroit
Saskatoon
Coquitlam
Brossard
Gloucester
Edmonton
Grade
Niveau
11
11
11
9
9
TEAMS / ÉQUIPES
Champion / Première
Second / Deuxième
Third / Troisième
Fourth / Quatrième
School
École
Pinetree S.S.
University of Toronto Schools
Don Mills C.I.
Earl Haig S.S.
Richmond Hill H.S.
Location
Endroit
Coquitlam
Toronto
North York
North York
Richmond Hill
8
Score
Note
425
422
416
414
414
Champions – 2009
Champions – 2009
2009 FERMAT CONTEST PROVINCIAL CHAMPIONS
CHAMPIONS PROVINCIAUX AU CONCOURS FERMAT 2009
Each student below will receive a $200 prize / Chaque étudiant ci-dessous recevrait un prix de 200 $
Province
Province
NL
NS
NB
PE
QC
ON North
ON North
ON East
ON Metro
ON Metro
ON West
ON West
ON Central
ON Central
MB
SK
AB
BC
Student
Étudiant
JORDAN ANSTEY
CASPER MACAULAY
XI ZHANG
MICHAEL LI
JAMES LAM
WILL HALL
MATTHEW HYNDMAN
JAMES RICKARDS
BRIAN BI
DENNIS LU
LOUIS HONG
CHEN SUN
STEVEN YANG
DANIEL YOO
GIUSEPPE GRANDE
LIZ CHEN
MARIYA SARDARLI
ROBIN CHENG
School
École
New World Island Academy
Halifax Grammar School
Saint John H.S.
Colonel Gray Sr. H.S
E.S. Antoine Brossard
Banting Memorial H.S.
Central Algoma S.S.
Colonel By S.S.
Woburn C.I.
Earl Haig S.S.
Sir John A. Macdonald S.S.
A.B. Lucas S.S.
Rick Hansen S.S.
Thornhill S.S.
Grant Park H.S.
Walter Murray C.I.
McKernan J.H.S.
Pinetree S.S.
9
Location
Endroit
Summerford
Halifax
Saint John
Charlottetown
Brossard
Alliston
Desbarats
Gloucester
Scarborough
North York
Waterloo
London
Mississauga
Thornhill
Winnipeg
Saskatoon
Edmonton
Coquitlam
Correct Answers
#
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Pascal
D
E
D
A
D
A
C
D
B
C
E
D
A
A
B
E
B
D
C
E
C
E
B
B
D
Cayley
A
E
C
D
A
D
E
B
D
A
C
C
E
D
A
B
C
B
D
B
E
E
A
B
C
Bonnes Rponses
Fermat
D
E
C
B
A
A
D
C
C
E
D
C
A
E
B
C
B
B
A
A
D
E
D
D
C
10
Pascal Contest
Concours Pascal
Number of Contestants / Nombre de concurrents: 27633
Average mark / Note moyenne: 87.89
Percentage of contestants selecting each option / Pourcentage de concurrents par choix:
Correct
Answer/
Bonne
Réponse
#
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
D
E
D
A
D
A
C
D
B
C
E
D
A
A
B
E
B
D
C
E
C
E
B
B
D
A
0.79
0.03
0.09
97.57
8.37
69.24
11.31
1.91
2.00
0.63
20.77
1.49
76.43
47.99
19.57
8.02
7.42
4.07
6.10
5.86
11.92
12.12
8.99
6.40
7.07
B
16.18
0.32
0.25
0.30
4.07
5.81
1.22
3.74
39.58
0.44
9.22
2.46
2.36
10.88
40.77
6.93
42.85
3.97
8.91
7.17
4.91
9.79
9.54
10.57
9.33
C
0.38
0.33
1.50
1.15
2.85
21.06
75.89
4.55
15.08
95.00
4.43
1.55
3.39
5.27
8.90
10.22
6.54
7.73
39.48
9.41
28.08
11.16
30.07
8.75
9.36
D
82.04
0.31
93.19
0.52
75.69
1.64
1.89
87.60
15.88
2.35
8.21
89.85
6.69
9.35
6.37
7.24
8.24
75.61
12.04
5.02
17.93
7.16
9.26
8.40
6.89
% not
attempted/
% sans
réponse
% correct
of attempted
% tentatives
réussies
0.26
0.04
0.17
0.24
7.49
0.55
4.14
0.71
9.83
0.88
4.09
1.83
7.61
19.82
16.62
13.56
28.26
2.86
18.11
40.27
15.64
33.47
37.52
53.80
59.69
82.25
98.97
93.35
97.80
81.82
69.63
79.17
88.22
43.89
95.84
55.52
91.53
82.73
59.85
48.89
62.46
59.73
77.83
48.21
53.97
33.28
39.47
15.27
22.87
17.10
E
0.32
98.93
4.76
0.19
1.49
1.66
5.52
1.46
17.60
0.67
53.25
2.78
3.47
6.66
7.74
53.99
6.66
5.72
15.33
32.24
21.49
26.25
4.59
12.05
7.62
11
Cayley Contest
Concours Cayley
Number of Contestants / Nombre de concurrents: 20958
Average mark / Note moyenne: 90.00
Percentage of contestants selecting each option / Pourcentage de concurrents par choix:
Correct
Answer/
Bonne
Réponse
#
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
A
E
C
D
A
D
E
B
D
A
C
C
E
D
A
B
C
B
D
B
E
E
A
B
C
A
98.18
0.05
0.24
2.72
88.33
5.36
3.41
4.60
0.87
78.17
1.20
0.52
3.80
5.10
59.11
1.70
9.17
11.83
4.46
14.37
4.56
5.45
14.57
10.01
5.36
B
1.15
0.34
0.18
1.18
11.00
3.33
9.04
72.59
1.59
4.16
4.70
2.91
1.76
8.75
10.16
38.59
17.24
34.32
10.38
28.63
5.95
4.27
7.39
9.87
6.52
C
0.07
0.27
95.05
1.22
0.17
4.78
4.63
5.66
1.04
3.12
75.44
93.89
2.33
8.67
6.39
2.61
34.82
9.28
9.68
8.08
9.05
11.52
30.68
8.89
7.78
D
0.10
0.24
1.44
93.38
0.14
79.70
1.29
10.38
93.42
4.30
12.04
1.70
1.30
51.93
10.88
19.62
7.68
3.81
19.49
6.71
16.72
16.53
5.04
14.11
5.49
% not
attempted/
% sans
réponse
% correct
of attempted
% tentatives
réussies
0.18
0.05
0.23
1.32
0.23
6.10
5.83
5.27
1.02
5.50
4.07
0.46
1.96
13.93
10.19
16.53
26.10
34.24
48.79
35.97
46.87
41.92
38.20
50.36
71.28
98.36
99.04
95.27
94.63
88.54
84.88
80.44
76.63
94.38
82.72
78.64
94.32
90.57
60.33
65.82
46.23
47.12
52.18
38.05
44.72
31.62
34.87
23.57
19.88
27.08
E
0.25
98.99
2.80
0.12
0.07
0.67
75.75
1.45
2.00
4.70
2.50
0.47
88.79
11.56
3.21
20.90
4.94
6.47
7.14
6.17
16.80
20.25
4.07
6.71
3.51
12
Fermat Contest
Concours Fermat
Number of Contestants / Nombre de concurrents: 17792
Average mark / Note moyenne: 85.10
Percentage of contestants selecting each option / Pourcentage de concurrents par choix:
Correct
Answer/
Bonne
Réponse
#
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
D
E
C
B
A
A
D
C
C
E
D
C
A
E
B
C
B
B
A
A
D
E
D
D
C
A
9.98
0.68
0.65
1.07
83.37
93.29
1.33
0.75
1.41
11.40
0.61
2.84
26.85
4.15
8.52
6.90
11.69
12.91
66.78
15.61
7.75
4.78
2.51
5.16
4.74
B
0.09
0.13
3.76
92.54
9.46
1.79
8.16
3.93
2.07
3.94
0.39
18.68
5.48
3.92
66.38
17.85
28.01
37.13
2.80
18.29
7.78
8.76
5.91
7.46
10.49
C
0.08
0.95
92.24
1.14
2.44
2.81
6.54
80.01
52.56
2.24
15.82
44.68
21.23
7.62
14.33
41.81
11.07
6.24
4.34
9.02
28.12
5.64
11.61
8.20
7.82
D
89.70
0.09
2.07
3.01
1.55
0.58
80.96
9.70
18.04
2.16
72.54
11.34
16.33
3.86
5.41
7.02
6.51
5.11
3.05
7.46
26.65
11.56
19.12
5.14
4.86
% not
attempted/
% sans
réponse
% correct
of attempted
% tentatives
réussies
0.02
0.06
0.87
1.58
1.65
0.62
0.58
3.53
12.33
6.73
2.82
14.94
15.96
26.89
3.92
21.95
37.70
34.16
18.53
45.03
23.26
56.49
56.42
69.12
67.91
89.72
98.12
93.05
94.02
84.76
93.88
81.43
82.94
59.95
78.81
74.65
52.53
31.95
73.22
69.09
53.56
44.97
56.39
81.97
28.39
34.73
29.30
43.86
16.64
24.38
E
0.11
98.07
0.38
0.64
1.50
0.88
2.40
2.06
13.57
73.50
7.80
7.50
14.13
53.53
1.41
4.46
4.99
4.43
4.47
4.58
6.40
12.75
4.41
4.90
4.15
13
Student Rankings
Score/
Note
150
149
148
147
146
145
144
143
142
141
140
139
138
137
136
135
134
133
132
131
130
129
128
127
126
125
124
123
122
121
120
119
118
117
116
115
114
113
112
111
110
109
108
107
106
105
104
103
102
101
100
Classements des élèves
Pascal
Rank/
Position
1
Cayley
Rank/
Position
1
Fermat
Rank/
Position
1
6
8
20
4
6
20
54
13
39
41
48
79
93
90
93
95
139
140
28
33
62
63
145
219
240
287
321
478
527
662
713
857
958
1121
1234
1437
1604
1839
2001
2204
2377
2609
2838
3093
3347
3629
3899
4183
4522
4831
5175
5476
5814
6153
6550
6888
7311
214
251
257
310
319
395
399
476
481
584
598
703
718
857
873
1035
1061
1253
1280
1469
1513
1777
1818
2099
2171
2482
2563
2994
3104
3536
3667
4120
4316
4904
5121
81
113
119
186
189
217
229
272
288
362
378
441
455
534
583
694
737
822
873
989
1066
1223
1271
1446
1519
1678
1782
1991
2138
2364
2503
2741
2935
3188
3388
Score/
Note
99
98
97
96
95
94
93
92
91
90
89
88
87
86
85
84
83
82
81
80
79
78
77
76
75
74
73
72
71
70
69
68
67
66
65
64
63
62
61
60
59
58
57
56
55
54
53
52
51
50
49
14
Pascal
Rank/
Position
7651
8043
8396
8828
9216
9703
10085
10543
10989
11411
11825
12322
12755
13225
13690
14158
14663
15139
15544
15995
16401
16835
17289
17690
18093
18451
18804
19185
19566
19946
20270
20562
20838
21153
21449
21713
21978
22202
22463
22693
22891
23075
23268
23450
23632
23779
23929
24059
24193
24296
24407
Cayley
Rank/
Position
5702
5948
6457
6775
7310
7671
8254
8624
9135
9490
9945
10384
10905
11285
11734
12123
12578
12980
13365
13746
14099
14420
14754
15058
15292
15532
15798
16045
16290
16501
16685
16885
17060
17225
17370
17498
17630
17775
17882
17989
18083
18170
18253
18330
18415
18473
18563
18615
18668
18715
18762
Fermat
Rank/
Position
3648
3871
4119
4400
4683
4961
5266
5593
5900
6233
6557
6941
7275
7608
7930
8261
8544
8925
9254
9557
9888
10194
10568
10908
11184
11478
11762
12045
12385
12648
12897
13106
13315
13557
13784
13990
14172
14327
14474
14657
14807
14921
15023
15125
15243
15350
15427
15506
15577
15671
15739
Student Rankings
Score/
Note
48
47
46
45
44
43
42
41
40
39
38
37
36
35
34
33
32
31
30
29
28
27
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
11
10
Pascal
Rank/
Position
24487
24591
24668
24725
24798
24847
24900
24963
25014
25044
25082
25117
25148
25168
25183
25196
25208
25224
25243
25255
25263
25275
25282
25292
25304
25309
25312
25317
25323
25328
25329
25330
25332
25334
25336
Classements des élèves
Cayley
Rank/
Position
18803
18840
18875
18895
18919
18935
18953
18976
18992
19009
19020
19028
19041
19050
19057
19063
19068
19077
19083
19090
19093
19095
19096
19097
19102
19104
19106
19108
19109
Fermat
Rank/
Position
15787
15834
15875
15920
15949
15982
16013
16044
16074
16093
16110
16128
16141
16158
16171
16176
16184
16194
16203
16206
16212
16215
16217
16220
16225
16228
16230
16231
16236
16240
19110
16241
16243
16244
N.B. These rankings pertain to official contestants
only /
N.B. Ces rangs se rapportent seulement aux concurrents officiels
15
Team Rankings
Scores/
Notes
440
430
420
410
400
390
380
370
360
350
340
330
320
310
300
-
450
439
429
419
409
399
389
379
369
359
349
339
329
319
309
Pascal
Ranks/
Positions
1-5
6 - 19
20 - 47
48 - 80
81 - 146
147 - 193
194 - 261
262 - 351
352 - 441
442 - 535
536 - 615
616 - 701
702 - 786
Classements des équipes
Cayley
Ranks/
Positions
1-2
3 - 10
11 - 23
24 - 33
34 - 50
51 - 70
71 - 96
97 - 125
126 - 163
164 - 225
227 - 289
290 - 380
381 - 489
490 - 594
595 - 679
Fermat
Ranks/
Positions
1-2
3-5
6 - 20
21 - 42
43 -64
65 - 89
90 - 125
126 - 163
164 - 210
211 - 282
283 - 333
334 - 415
416 - 490
Number of three student teams / Nombre d’équipes de trois élèves
Pascal Contest / Concours Pascal : 1049
Cayley Contest / Concours Cayley: 966
Fermat Contest / Concours Fermat: 958
16
Canadian
Mathematics
Competition
An activity of the Centre for
Education in Mathematics and Computing,
University of Waterloo, Waterloo, Ontario
2009
Results
Pascal Contest
(Grade 9)
Cayley Contest
(Grade 10)
Fermat Contest
(Grade 11)
Concours
canadien de
mathématiques
Une activité du Centre d’éducation
en mathématiques et en informatique,
Université de Waterloo, Waterloo, Ontario
2009
Résultats
Concours Pascal
(9e année – Sec. III)
Concours Cayley
(10e année – Sec. IV)
Concours Fermat
(11e année – Sec. V)
Cayley Contest Honour Rolls
Palmarès pour le concours Cayley
2009
Cayley Contest/Concours Cayley
Team List/Palmarès d'équipes
Rank/
Rang
School/
École
City/Ville
Score/Note
1
2
3
3
5
5
7
8
8
8
11
12
12
14
14
14
14
18
18
20
20
20
20
24
25
26
26
26
26
26
31
31
33
34
35
36
36
38
39
40
40
40
40
40
40
46
46
46
46
46
51
51
Marc Garneau C.I.
University of Toronto Schools
Don Mills C.I.
Northern S.S.
E.S. St. Luc
Sir Winston Churchill S.S.
St. Francis Xavier S.S.
Pinetree S.S.
Old Scona Academic H.S.
A.Y. Jackson S.S.
Vincent Massey S.S.
University Transition Program
Earl Haig S.S.
Sir Winston Churchill H.S.
West Vancouver S.S.
Lord Byng S.S.
St. Robert C.H.S.
Richmond S.S.
Bayview S.S.
Dr. Norman Bethune C.I.
St. George's School
Burnaby North S.S.
Hugh McRoberts S.S.
Western Canada H.S.
Semiahmoo S.S.
Centennial Reg. H.S.
Crescent School
Port Moody Sr. S.S.
Point Grey S.S.
Lisgar C.I.
Moscrop S.S.
Victoria Park C.I.
Markham D.H.S.
North Toronto C.I.
Prince Of Wales Mini School
St. John's School
Handsworth S.S.
College Jean de Brebeuf
Richmond Hill H.S.
Agincourt C.I.
Waterloo C.I.
University Hill S.S.
The Woodlands School
Bell H.S.
Crofton House School
Seaquam S.S.
Glenforest S.S.
Westdale S.S.
Gleneagle S.S.
York Mills C.I.
Burnaby South S.S.
A.B. Lucas S.S.
North York
Toronto
North York
Toronto
Montreal
Vancouver
Mississauga
Coquitlam
Edmonton
North York
Windsor
Vancouver
North York
Calgary
West Vancouver
Vancouver
Thornhill
Richmond
Richmond Hill
Scarborough
Vancouver
Burnaby
Richmond
Calgary
Surrey
Greenfield Park
North York
Port Moody
Vancouver
Ottawa
Burnaby
North York
Markham
Toronto
Vancouver
Vancouver
North Vancouver
Montreal
Richmond Hill
Scarborough
Waterloo
Vancouver
Mississauga
Nepean
Vancouver
Delta
Mississauga
Hamilton
Coquitlam
North York
Burnaby
London
444
442
436
436
434
434
432
430
430
430
428
426
426
424
424
424
424
422
422
420
420
420
420
416
414
412
412
412
412
412
411
411
410
408
407
406
406
404
403
402
402
402
402
402
402
400
400
400
400
400
398
398
2009
Cayley Contest/Concours Cayley
Student Rankings/Palmarès d'étudiants
Name/Nom
School/École
Group I/Groupe I
ALACCHI
CHU
DOU
FANG
GAO
GUO
HU
LAI
LAN
LEE
NING
PETROUNOV
YOUNAN
YU
ZENG
ZHAN
ZHANG
ZHOU
ZHU
Grade/Niveau
Montreal
Burnaby
Belleville
Thornhill
Vancouver
Toronto
North York
Vancouver
Toronto
Mississauga
North York
North York
Mississauga
Coquitlam
North York
Toronto
Richmond Hill
Montreal
Mississauga
10
10
10
10
10
9
10
8
10
10
10
10
10
9
10
9
10
10
10
Vancouver
Scarborough
Edmonton
London
Vancouver
Toronto
Nepean
North York
Waterloo
Surrey
Surrey
Richmond
Richmond Hill
Miramichi
Coquitlam
Thunder Bay
Toronto
Edmonton
Greenfield Park
Vancouver
North York
Calgary
Vancouver
Burnaby
Nanaimo
St Catharines
Burnaby
North York
Windsor
Richmond
West Vancouver
Vancouver
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
Scores/Notes 150 - 145
JOSEPH
KEVIN
JAY
JIMMY
AILEEN
LINCOLN
SHANE
LEO
TIAN
ELLEN
XIN
KRISS
SIMON
STEVEN
JOE
ERIC
JASMINE
DONG CHEN
ANANDA
Group II/Groupe II
CHEN
CHENG
CHOI
CHONG
DEE
DING
HUANG
HWANG
KOO
LEE
LEE
LI
LI
MACMILLAN
MAK
NATARAJAN
OLDEN COOLIGAN
QI
RAJ
RYU
SIMIC
SONG
TARAPHAN
WANG
WANG
WEI
WU
YANG
YIN
YOSHINO
YUAN
ZHANG
Location/
Endroit
Loyola H.S.
Moscrop S.S.
Moira S.S.
St. Robert C.H.S.
Sir Winston Churchill S.S.
University of Toronto Schools
Marc Garneau C.I.
Point Grey S.S.
Northern S.S.
St. Francis Xavier S.S.
A.Y. Jackson S.S.
Marc Garneau C.I.
St. Francis Xavier S.S.
Pinetree S.S.
Don Mills C.I.
University of Toronto Schools
Bayview S.S.
E.S. St. Luc
John Fraser S.S.
Scores/Notes 144 - 143
PENGHONG
DAVID
JUNHO
DANIEL
CHRIS
LIQING
FAN
GRACE
ARAM
MIN HYUK
YOSEP
PETER
SIMON
JOHN
LAUREN
KARTHIK
BEN
ANDREW
ANITA
ALICE
ALEKSANDRA
NAM
NUTTAWUT
ALLAN
JASON
MENGDI
AMY
KARREN
FAN
REIKA
ADRIAN
ALLEN
University Transition Program
Dr. Norman Bethune C.I.
Old Scona Academic H.S.
A.B. Lucas S.S.
St. George's School
Branksome Hall
Bell H.S.
A.Y. Jackson S.S.
Sir John A. Macdonald S.S.
North Surrey S.S.
Semiahmoo S.S.
Richmond S.S.
Bayview S.S.
Miramichi Valley H.S.
Pinetree S.S.
Sir Winston Churchill C.V.I.
Northern S.S.
Old Scona Academic H.S.
Centennial Reg. H.S.
St. John's School
Marc Garneau C.I.
Sir Winston Churchill H.S.
Lord Byng S.S.
Burnaby North S.S.
Dover Bay S.S.
St. Catharines C.I. & V.S.
Burnaby South S.S.
Marc Garneau C.I.
Vincent Massey S.S.
Hugh McRoberts S.S.
West Vancouver S.S.
University Transition Program
2009
Cayley Contest/Concours Cayley
Student Rankings/Palmarès d'étudiants
Group II/Groupe II
ZHANG
ZHANG
Scores/Notes 144 - 143
CYRIL
JUSTINE
Group III/Groupe III
BAO
CAI
CHAU
CHOI
DILLON
EISENSTAT
GU
GUAN
GUPTA
HE
JIANG
KHAN
KIM
LI
LI
LI
LIU
MA
NGANA
PARK
PARK
RIDGE
RONG
SUN
TANG
WANG
WANG
YANG
YEP
YOO
YU
YUAN
YUAN
ZHANG
ZHENG
ZHOU
North York
Calgary
10
10
Scores/Notes 142 - 141
KELLY
Sir Winston Churchill S.S.
Vancouver
10
XUESI
E.S. St. Luc
Montreal
10
BRIAN
Prince Of Wales Mini School
Vancouver
10
SUNGBIN
L.P. Miller Comp. School
Nipawin
10
JACK
St. Mary's C.H.S.
Brockville
9
SAM
Academy for Gifted Children-PACE Richmond Hill
10
FAN DI
Prince Of Wales Mini School
Vancouver
10
MELODY Y
University of Toronto Schools
Toronto
9
ADARSH
University of Toronto Schools
Toronto
9
TIM
Henry Wise Wood Sr. H.S
Calgary
10
HEINRICH
Vincent Massey S.S.
Windsor
10
SUFYAN
Earl Haig S.S.
North York
10
GRACE
University of Toronto Schools
Toronto
9
FRANK
University of Toronto Schools
Toronto
9
SHIDA
E.S. St. Luc
Montreal
10
YANZHU
Lord Byng S.S.
Vancouver
10
CHIEH MING
Fraser Heights S.S.
Surrey
10
PHILIP
Harry Ainlay H.S.
Edmonton
10
YANNICK
Earl Haig S.S.
North York
10
GAYEEJULIE
Gleneagle S.S.
Coquitlam
10
TOM
Richmond S.S.
Richmond
10
FRASER
Handsworth S.S.
North Vancouver
10
RICKY
Don Mills C.I.
North York
10
SUSAN
West Vancouver S.S.
West Vancouver
9
TOMY
Innisdale S.S.
Barrie
10
DONALD
Hugh McRoberts S.S.
Richmond
10
YAOU
St. Michael's Univ. School
Victoria
10
AARON
Northern S.S.
Toronto
10
JONATHAN
Albert Campbell C.I.
Scarborough
10
YOUNGHO
Earl Haig S.S.
North York
10
OULIN
E.S. St. Luc
Montreal
10
CHENG HAO
Lord Tweedsmuir Sr. S.S.
Surrey
10
DIRK
Sir Winston Churchill S.S.
Vancouver
10
WILLIAM
Port Moody Sr. S.S.
Port Moody
10
TIGER ZIYU
Vincent Massey S.S.
Windsor
10
KAIVEN
Old Scona Academic H.S.
Edmonton
10
Windsor
Edmonton
Fredericton
Victoria
North York
Scarborough
10
10
10
10
10
10
Group IV/Groupe IV
CHAE
CHO
CHOI
CHUNG
CORSO
FU
Don Mills C.I.
Sir Winston Churchill H.S.
PAUL
PETER
DAYEOL
DAHAN
KEVIN
IVAN
Scores/Notes 140 - 137
Vincent Massey S.S.
Old Scona Academic H.S.
Fredericton H.S.
Mount Douglas S.S.
Brebeuf College School
Dr. Norman Bethune C.I.
2009
Cayley Contest/Concours Cayley
Student Rankings/Palmarès d'étudiants
Group IV/Groupe IV
GRAHAM
GU
HAN
HU
HUANG
HUANG
HUNG
JEFFREY
JI
KHAN
KIM
KIM
KIM
KIM
LAM
LI
LI
LIM
LIU
PARK
PARK
PARK
QI
QIN
QIU
SHEN
SHU
SPINK
SRINIVASAN
THAM
WANG
WANG
WANG
WILLIAM
WOO
WU
YANG
YANG
YIN
YOO
ZHANG
ZHAO
ZHAO
ZHU
Waterloo C.I.
Crescent School
Crescent School
West Vancouver S.S.
Western Canada H.S.
Burnaby North S.S.
Shawnigan Lake School
Dr. Charles Best S.S.
Victoria Park C.I.
Burnaby Mountain S.S.
Crofton House School
Yale S.S.
Highroad Academy
St. George's School
St. George's School
Killarney S.S.
Markham D.H.S.
Rothesay Netherwood School
Lisgar C.I.
St. Andrew's College
St. Robert C.H.S.
Fredericton H.S.
St. John's School
Old Scona Academic H.S.
Agincourt C.I.
Western Canada H.S.
Lord Byng S.S.
Western Canada H.S.
Fort Richmond C.I.
The Woodlands School
Sir Winston Churchill S.S.
Dr. Norman Bethune C.I.
E.S. St. Luc
Iroquois Ridge H.S.
Semiahmoo S.S.
Lisgar C.I.
Don Mills C.I.
University Transition Program
College Jean de Brebeuf
Handsworth S.S.
E.S. de Rochebelle
Westdale S.S.
William Lyon Mackenzie C.I.
Burnaby North S.S.
ZI JIE
GEORGE
DALLAS
RUTGER
DESMOND
BORIS
PHOEBE
PETER
ZHOUBO
E.S. St. Luc
University of Toronto Schools
Sir Winston Churchill H.S.
Lisgar C.I.
Markham D.H.S.
Markham D.H.S.
Sir Winston Churchill H.S.
Waterloo C.I.
University Hill S.S.
Group V/Groupe V
AN
BAI
BEZAIRE
CAMPBELL
CHAN
CHANG
CHANG
CHAU
CHE N
Scores/Notes 140 - 137
JACKIE
LORIN
DAVID
ALICE
JEFFREY
STEVEN
IVAN
SON
ISABEL
TALHA
ANNIE
CHUNGJUN
JIYONG
PAUL
HADRIAN
AMY
CHARLES
JUNHYEON
INA
DANIEL
HYESEON
SUNGWHAN
TIFFANY
CATHY
GINNY
MENGSHU
CHARLES
HUNTER
SURAJ
JOEL
CATHERINE
DAVID
WEIKE
CHOI
DANIEL
DEAN
FRANKLIN
YIN SHU
XI YUAN
MINYOUNG
XIAOWEI
JINGRUI
YE
KATIE
Waterloo
North York
North York
West Vancouver
Calgary
Burnaby
Shawnigan Lake
Coquitlam
North York
Burnaby
Vancouver
Abbotsford
Chilliwack
Vancouver
Vancouver
Vancouver
Markham
Rothesay
Ottawa
Aurora
Thornhill
Fredericton
Vancouver
Edmonton
Scarborough
Calgary
Vancouver
Calgary
Winnipeg
Mississauga
Vancouver
Scarborough
Montreal
Oakville
Surrey
Ottawa
North York
Vancouver
Montreal
North Vancouver
Quebec
Hamilton
North York
Burnaby
10
10
10
10
10
8
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
9
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
Montreal
Toronto
Calgary
Ottawa
Markham
Markham
Calgary
Waterloo
Vancouver
10
9
10
10
10
10
10
10
10
Scores/Notes 136 - 134
2009
Cayley Contest/Concours Cayley
Student Rankings/Palmarès d'étudiants
Group V/Groupe V
CHEN
CHEN
CHEN
CHENG
CHO
CHOI
CHOW
CLUFF
CONG
CURELEA
DIEDERICHS
DING
DING
DOWLING
DU
FANG
FREEMAN
FUNG
GARCIA RUIZ
HA M
HAN
HOFKIRCHNER
HU
HU
HU
HU
HUA
HUTIRA
JACOB JOHN
JADA
JIA
KIM
KIM
L IN
LEE
LEE
LEE
LEE
LEE
LEE
LEE
LEUNG
LI
LI
LIN
LIN
LIPTON
LU
LU
LU
LU
LUO
MA
MACALINTAL
MACLACHLAN
MAHAJAN
MAI
Scores/Notes 136 - 134
CINDY
EMILY
XINYI
JINGWEN
HARRY
KANGHYUN
VINCENT
MATTHEW
AMALIA
ANDREI
STEPHEN
FREDERICK
ZHENG
PATRICK
YUHAO
BENNY
MARKY
ALEXANDER
LUIS
SALLY
FRANCIS
ALEX
DANIEL
KEVIN
PEI
THOMAS
GORDON
SALVADOR
VARUN
WANG
KEVIN
HYUNGKI
YANG SEOK
ROBERT
ANDY
ELLEN
FELIX
HORIM
JEONGSU
JOSHUA
RYAN
JACKY
ROSE
YUCHEN
ISAAC
TONY
MICHAEL
KE QIN
LIWEN
NELSON
YAO
CHARLES
MARK
YZAH
DUNCAN
NIKHIL
ZHIHAO
Hugh McRoberts S.S.
University of Toronto Schools
College Jean Eudes
Innisdale S.S.
Port Moody Sr. S.S.
North Toronto C.I.
University of Toronto Schools
D.P. Todd S.S.
London Central S.S.
Vincent Massey S.S.
Springbank Comm. H.S.
Richmond Hill H.S.
Burnaby North S.S.
Sacred Heart C.H.S.
Port Moody Sr. S.S.
Gleneagle S.S.
Tanenbaum CHAT
University of Toronto Schools
E.S. St. Luc
Pacific Academy
Mulgrave School
O'Neill C.V.I.
Vincent Massey S.S.
Crescent School
Sinclair S.S.
A.Y. Jackson S.S.
College St. Louis
University of Toronto Schools
St. Robert C.H.S.
Marc Garneau C.I.
University of Toronto Schools
University Hill S.S.
King's-Edgehill School
Marc Garneau C.I.
St. George's School
Vancouver Tech. S.S.
St. Michael's College School
Earl Haig S.S.
Silverthorn C.I.
Crescent School
University of Toronto Schools
Markham D.H.S.
Marc Garneau C.I.
North Toronto C.I.
Sir Winston Churchill H.S.
Dr. Norman Bethune C.I.
Tanenbaum CHAT
Richmond S.S.
Vincent Massey H.S.
Burnaby South S.S.
St. George's School
York Mills C.I.
Johnston Heights Jr. S.S.
Kelvin H.S.
Paris D.H.S.
Glenforest S.S.
Vincent Massey S.S.
Richmond
Toronto
Montreal
Barrie
Port Moody
Toronto
Toronto
Prince George
London
Windsor
Calgary
Richmond Hill
Burnaby
Newmarket
Port Moody
Coquitlam
Maple
Toronto
Montreal
Surrey
West Vancouver
Oshawa
Windsor
North York
Whitby
North York
Lasalle
Toronto
Thornhill
North York
Toronto
Vancouver
Windsor
North York
Vancouver
Vancouver
York
North York
Etobicoke
North York
Toronto
Markham
North York
Toronto
Calgary
Scarborough
Maple
Richmond
Brandon
Burnaby
Vancouver
North York
Surrey
Winnipeg
Paris
Mississauga
Windsor
10
9
10
9
10
10
9
10
10
10
10
10
9
10
10
10
10
9
10
10
10
10
10
10
10
10
10
9
10
10
9
10
10
10
10
10
10
10
10
9
9
10
10
10
10
10
10
10
9
10
10
10
10
10
10
10
10
2009
Cayley Contest/Concours Cayley
Student Rankings/Palmarès d'étudiants
Group V/Groupe V
NESTICO
OH
PAN
PARK
RYU
SHE
SHEN
SHI
SHIN
SHIN
STANCIU
STEPHENSON
TANG
THEVASUNDARAM
TRUONG
VIGNESWARAN
WANG
WEAVER
WEI
WEI
WU
XI
XI
XIAO
XIE
YANG
YANG
YANG
YELEKAR
YOON
YOU
YU
ZENG
ZENG
ZHANG
ZHANG
ZHANG
ZHANG
ZHANG
ZHANG
ZHAO
ZHU
ZHU
ZHUO
ZOU
Scores/Notes 136 - 134
ANDREW
HENRY
SALLY
PATRICK
WON
JERRY
CHARLIE
SAM
JAME S
SEUNGCHUL
JEAN
LAURA
MICHELLE
KERSHANTH
RAYMOND
SUSEELAN
JENNY
IAN
LONA
YUMOU
TERRY
WAYNE
WILLIAM
PHILIP
OLIVER
DAITAN
KATHRYN
LINDA
ASHISH
SOYON
ALICE
JENNIFER
RAYMOND
YUCHAO
DANNY
JACK
JI
JOHNNY
LILY
YIPEI
TIANLE
MARCO
QIHUI
WILL
JESSICA
St. Michael's College School
Richmond Green S.S.
University of Toronto Schools
Magee S.S.
Heritage Woods Secondary
Britannia S.S.
Pinetree S.S.
York Mills C.I.
Bodwell H.S.
Corpus Christi C.S.S.
College Jean de Brebeuf
Lisgar C.I.
Markham D.H.S.
Markham D.H.S.
Stamford C.& V.I.
Victoria Park C.I.
Seaquam S.S.
Halifax Grammar School
West Vancouver S.S.
Lord Byng S.S.
St. George's School
Earl Haig S.S.
Sir Winston Churchill S.S.
Sir Winston Churchill S.S.
Burnaby North S.S.
North Toronto C.I.
Crofton House School
Sir Winston Churchill S.S.
Pickering H.S.
D.W. Poppy Secondary
Richmond Hill H.S.
Old Scona Academic H.S.
Heritage Woods Secondary
Lisgar C.I.
Victoria Park C.I.
Pierre Elliott Trudeau H.S.
A.Y. Jackson S.S.
Seaquam S.S.
Cameron Heights C.I.
Agincourt C.I.
Lorne Park S.S.
Glenforest S.S.
Centennial Reg. H.S.
Sir Winston Churchill H.S.
Sir Winston Churchill S.S.
York
Richmond Hill
Toronto
Vancouver
Port Moody
Vancouver
Coquitlam
North York
North Vancouver
Burlington
Montreal
Ottawa
Markham
Markham
Niagara Falls
North York
Delta
Halifax
West Vancouver
Vancouver
Vancouver
North York
Vancouver
Vancouver
Burnaby
Toronto
Vancouver
Vancouver
Ajax
Langley
Richmond Hill
Edmonton
Port Moody
Ottawa
North York
Markham
North York
Delta
Kitchener
Scarborough
Mississauga
Mississauga
Greenfield Park
Calgary
Vancouver
10
10
9
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
10
8
10
10
10
10
10
10
10
10
10
10
10
10
9
10
10
10
10
10
10
10
10
9