The 2006 IMO was held at in Ljubljana, Slovenia, on July 12 and July 13, 2006.
The Australian team was
Charles Li, Sydney Grammar School, NSW
Vinoth Nandakumar, James Ruse Agricultural High School, NSW
Matthew Ng, Scotch College, VIC
Vinh Pham, Sydney Boys High School, NSW
Konrad Pilch, St Peter's College, SA
Graham White, James Ruse Agricultural High School, NSW
(From left Charles Li, Graham White, Konrad Pilch, Julie Bishop, Vinh Pham, Matthew Ng, Vinoth Nandakumar.)
Past papers are at
http://www.angelfire.com/ab7/fourunit/imo-all.pdf
http://www4.tpgi.com.au/nanahcub/imo2004.pdf
http://www4.tpgi.com.au/nanahcub/imo2005.pdf
There is a discussion forum on it at
http://www.mathlinks.ro/Forum/index.php?f=387
The official website is at http://imo2006.dmfa.si/
<a href="http://www4.tpgi.com.au/nanahcub/2006imosol.pdf">Here are the problems and solutions for 2006</a>
Here are Australia's results.
AUS1 7 7 0 7 1 0 22 SILVER (Charles Li)
AUS2 7 1 1 7 2 0 18 BRONZE (Vinoth Nandakumar)
AUS3 7 1 0 1 0 0 9 HONOR (Matthew Ng)
AUS4 7 1 0 7 0 0 15 BRONZE (Vinh Pham)
AUS5 7 7 0 7 1 0 22 SILVER (Konrad Pilch)
AUS6 7 7 1 3 4 0 22 SILVER (Graham White)
(6 questions, 7 marks each, total out of 42)
So our grand total is 108 out of 252 and rank 25 out of 90
The official results are up at http://imo2006.dmfa.si/results.html.
Cut-offs:
bronze: 15
silver: 19
gold: 28
So Australia has 3 silver and 2 bronze.
China has come first with a total of 214 and 6 gold.
The first person to get a 7 for question 6 was Przemysław Mazur from Poland, which was so hard not many got a 7 and the cut-off for gold is quite low. I wonder is he any relation to the great mathematician Barry Mazur? B. Mazur had published a lot of stuff on modular forms and elliptic curves, some of which Wiles used in his proof of Fermat's Last Theorem.
Rank out of 90/Country/total out of 252:
1 CHINA 214
2 RUSSIA 174
3 KOREA 170
4 GERMANY 157
5 UNITED STATES OF AMERICA 154
6 ROMANIA 152
7 JAPAN 146
8 IRAN 145
9 MOLDOVA 140
10 TAIWAN 136
11 POLAND 133
12 ITALY 132
13 VIETNAM 131
14 HONG KONG 129
15 CANADA 123
15 THAILAND 123
17 HUNGARY 122
18 SLOVAKIA 118
19 TURKEY 117
19 UNITED KINGDOM 117
21 UKRAINE 114
22 BELARUS 111
23 MEXICO 110
24 ISRAEL 109
25 AUSTRALIA 108
26 BULGARIA 116
27 SINGAPORE 100
28 FRANCE 99
29 BRAZIL 96
30 SWITZERLAND 95
30 ARGENTINA 95
30 KAZAKHSTAN 95
33 GEORGIA 94
33 LITUANIA 94
35 INDIA 92
36 ARMENIA 90
36 SLOVENIA 90
38 SERBIA 88
39 FINLAND 86
40 PERU 85
41 BOSNIA AND HERTEGOZINIA 84
42 AUSTRIA 83
43 SWEDEN 82
44 ESTONIA 80
44 SPAIN 80
44 MONGOLIA 80
47 PORTUGAL 78
48 AZERBAIJAN 77
48 CZECH REPUBLIC 77
50 COLUMBIA 76
50 ALBANIA 76
52 BELGIUM 75
52 LATVIA 75
54 CROATIA 72
55 SRI LANKA 71
56 GREECE 69
57 UZBEKISTAN 68
58 NEW ZEALAND 66
59 ICELAND 63
59 MACAU 63
61 TURKMENISTAN 59
62 NETHERLANDS 57
62 MACEDONIA 57
62 SOUTH AFRICA 57
65 MOROCCO 55
66 NORWAY 52
67 IRELAND 49
68 PARAGUAY 47
69 DENMARK 45
70 ECUADOR 40
70 MALAYSIA 40
72 TAJIKISTAN 35
73 VENEZUELA 34
73 TRINIDAD AND TOBAGO 34
75 PANAMA 33
76 PAKISTAN 32
77 KYRGYZSTAN 31
78 EL SALVADOR 27
78 COSTA RICA 27
80 BANGLADESH 22
81 CYPRESS 19
82 URUGUAY 12
82 LUXEMBOURG 12
84 PUETRO RICO 11
84 NIGERIA 11
86 BOLIVIA 5
86 KUWAIT 5
88 SAUDI ARABIA 3
89 LIECHTENSTEIN 2
90 MOZAMBIQUE 0
The Australian team was
Charles Li, Sydney Grammar School, NSW
Vinoth Nandakumar, James Ruse Agricultural High School, NSW
Matthew Ng, Scotch College, VIC
Vinh Pham, Sydney Boys High School, NSW
Konrad Pilch, St Peter's College, SA
Graham White, James Ruse Agricultural High School, NSW
(From left Charles Li, Graham White, Konrad Pilch, Julie Bishop, Vinh Pham, Matthew Ng, Vinoth Nandakumar.)
Past papers are at
http://www.angelfire.com/ab7/fourunit/imo-all.pdf
http://www4.tpgi.com.au/nanahcub/imo2004.pdf
http://www4.tpgi.com.au/nanahcub/imo2005.pdf
There is a discussion forum on it at
http://www.mathlinks.ro/Forum/index.php?f=387
The official website is at http://imo2006.dmfa.si/
<a href="http://www4.tpgi.com.au/nanahcub/2006imosol.pdf">Here are the problems and solutions for 2006</a>
Here are Australia's results.
AUS1 7 7 0 7 1 0 22 SILVER (Charles Li)
AUS2 7 1 1 7 2 0 18 BRONZE (Vinoth Nandakumar)
AUS3 7 1 0 1 0 0 9 HONOR (Matthew Ng)
AUS4 7 1 0 7 0 0 15 BRONZE (Vinh Pham)
AUS5 7 7 0 7 1 0 22 SILVER (Konrad Pilch)
AUS6 7 7 1 3 4 0 22 SILVER (Graham White)
(6 questions, 7 marks each, total out of 42)
So our grand total is 108 out of 252 and rank 25 out of 90
The official results are up at http://imo2006.dmfa.si/results.html.
Cut-offs:
bronze: 15
silver: 19
gold: 28
So Australia has 3 silver and 2 bronze.
China has come first with a total of 214 and 6 gold.
The first person to get a 7 for question 6 was Przemysław Mazur from Poland, which was so hard not many got a 7 and the cut-off for gold is quite low. I wonder is he any relation to the great mathematician Barry Mazur? B. Mazur had published a lot of stuff on modular forms and elliptic curves, some of which Wiles used in his proof of Fermat's Last Theorem.
Rank out of 90/Country/total out of 252:
1 CHINA 214
2 RUSSIA 174
3 KOREA 170
4 GERMANY 157
5 UNITED STATES OF AMERICA 154
6 ROMANIA 152
7 JAPAN 146
8 IRAN 145
9 MOLDOVA 140
10 TAIWAN 136
11 POLAND 133
12 ITALY 132
13 VIETNAM 131
14 HONG KONG 129
15 CANADA 123
15 THAILAND 123
17 HUNGARY 122
18 SLOVAKIA 118
19 TURKEY 117
19 UNITED KINGDOM 117
21 UKRAINE 114
22 BELARUS 111
23 MEXICO 110
24 ISRAEL 109
25 AUSTRALIA 108
26 BULGARIA 116
27 SINGAPORE 100
28 FRANCE 99
29 BRAZIL 96
30 SWITZERLAND 95
30 ARGENTINA 95
30 KAZAKHSTAN 95
33 GEORGIA 94
33 LITUANIA 94
35 INDIA 92
36 ARMENIA 90
36 SLOVENIA 90
38 SERBIA 88
39 FINLAND 86
40 PERU 85
41 BOSNIA AND HERTEGOZINIA 84
42 AUSTRIA 83
43 SWEDEN 82
44 ESTONIA 80
44 SPAIN 80
44 MONGOLIA 80
47 PORTUGAL 78
48 AZERBAIJAN 77
48 CZECH REPUBLIC 77
50 COLUMBIA 76
50 ALBANIA 76
52 BELGIUM 75
52 LATVIA 75
54 CROATIA 72
55 SRI LANKA 71
56 GREECE 69
57 UZBEKISTAN 68
58 NEW ZEALAND 66
59 ICELAND 63
59 MACAU 63
61 TURKMENISTAN 59
62 NETHERLANDS 57
62 MACEDONIA 57
62 SOUTH AFRICA 57
65 MOROCCO 55
66 NORWAY 52
67 IRELAND 49
68 PARAGUAY 47
69 DENMARK 45
70 ECUADOR 40
70 MALAYSIA 40
72 TAJIKISTAN 35
73 VENEZUELA 34
73 TRINIDAD AND TOBAGO 34
75 PANAMA 33
76 PAKISTAN 32
77 KYRGYZSTAN 31
78 EL SALVADOR 27
78 COSTA RICA 27
80 BANGLADESH 22
81 CYPRESS 19
82 URUGUAY 12
82 LUXEMBOURG 12
84 PUETRO RICO 11
84 NIGERIA 11
86 BOLIVIA 5
86 KUWAIT 5
88 SAUDI ARABIA 3
89 LIECHTENSTEIN 2
90 MOZAMBIQUE 0
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