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The Tournament of the Towns is perhaps the second most prestigious international mathematics competitions for high school students, after the International Mathematical Olympiad.
In two important ways, the Tournament is a superior competition. First, any number of students can participate, whereas the Olympiad is limited to a maximum of six students from each country. Since the Tournament is written locally, the expenses involved are minimal. This allows a large number of students to enjoy a taste of high-level international competition. Second, the problems are composed by outstanding practitioners of the art. They are chosen purely on merit, unencumbered by other considerations. It is often frustrating in the Olympiad to see beautiful problems wasted because certain interest groups machinate against them for ulterior motives.
The Tournament is more like a mathematical laboratory than an examination, again in two important ways. First, there are no big prizes to win, and so far, there is no propaganda value attached to the event. Thus participants should not feel any undue pressure. Unlike an examination when the students are supposed to know everything on which they are tested, the Tournament is designed to challenge their creativity. They should not feel ashamed if they are unable to solve any of the problems, because this is what is expected. Thus students should feel proud if they manage to conquer even one problem. Second, a generous amount of time is allowed for the Tournament. The usual examination really tests students whether they can answer routine questions quickly and accurately. There is really no time to ponder how a particular question is to be approached. This nurtures a bad work habit in students who tend to give up too easily on problems that do not yield immediately to an attack. Herein lies the main reason why a large number of students do poorly in the Tournament. It is not for lack of talent or effort, but lack of experience. They must not expect to read the problem and be able to write down the solution right away. They must learn to experiment with the given conditions and try to discover patterns or foster inspiration. These are essential ingredients in a successful research career, and the students cannot start too soon on acquiring such experience.

International Mathematics Tournament of the Towns
Vice-president
Andy LIU

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A2002 §E¡³¾± M ¥x¥_¥«¤Ñ¥À°ê¤¤¤K¦~¯Å Taipei Municipal Tian Mu Junior High School (Grade 8) 105 127 127 169.33
A1002 ªL¡³¿Q M Á¨»Õ¤¤¾Ç°ê¤¤³¡¤C¦~¯Å Taipei wego Private Senior High School (The Junior High School Division)(Grade 7) 98 0 98 147.00
A2001 ´å¡³ÄË M ®ç¶é¿¤·s¿³°ê¤¤¤K¦~¯Å Shin Shing International School(The Junior High School Division)(Grade 8) 98 109 109 145.33
A2005 ªô¡³¬° M ¥x¥_¥«´°¤Æ°ê¤¤¤K¦~¯Å Taipei Municipal Dun-Hua Junior High School (Grade 8) 88 63 88 117.33
A3001 Á¡³¼y M ·s¥_¥«Äª¬w°ê¤¤¤E¦~¯Å New Taipei Municipal Luchou Junior High School (Grade 9) 105 116 116 116.00
A2006 ªô¡³ÑL M µØ²±¹y¤¤¾Ç¤K¦~¯Å Washington High School (The Junior High School Division)(Grade 8) 84 28 84 112.00
H1007 ªL¡³¦| M ¥x¥_¥«¥ß¥Á¥Í°ê¤p¤»¦~¯Å Taipei Municipal Minsheng Primary School (Grade 6) 72 35 72 108.00
A1001 ´¿¡³ M °ê¥ß¬ì¾Ç¤u·~¶é°Ï¹êÅ礤¾Ç°ê¤¤³¡¤C¦~¯Å National Experimental High School At Hsinchu Science Park (The Junior High School Division)(Grade 7) 72 12 72 108.00
A2003 ¼B¡³±á M ¥x¥_¥«¤Ñ¥À°ê¤¤¤K¦~¯Å Taipei Municipal Tian Mu Junior High School (Grade 8) 72 5 72 96.00
H2033 ¬x¡³©þ M ¥x¥_¥«Äõ¶®°ê¤¤¤K¦~¯Å Taipei Municipal Lanya Junior High School (Grade 8) 69 ¡Ð 69 92.00
H3007 ³¯¡³ºû M ¥Ã¥­°ª¤¤°ê¤¤³¡¤E¦~¯Å New Taipei Municipal Yong-Ping High School (The Junior High School Division)(Grade 9) 91 ¡Ð 91 91.00
A1003 »p¡³³Í M ¥x¥_¬ü°ê¾Ç®Õ¤C¦~¯Å Taipei American School (Grade 7) 56 42 56 84.00
H1025 ½²¡³·z M ®ç¶é¿¤¤å©÷°ê¤¤¤C¦~¯Å Taoyuan County Wun Chang Junior High School (Grade 7) 56 32 56 84.00


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C4001 ªL¡³¶v M ¥x¤¤¥«´f¤å°ª¤¤°ê¤¤³¡¤E¦~¯Å Taichung Municipal Hui-Wen High School (The Junior High School Division) (Grad 9) ¡Ð 182 182 227.5
A4001 ³¯¡³®¦ M °ê¥ß¬ì¾Ç¤u·~¶é°Ï¹êÅç°ª¯Å¤¤¾Ç¤Q¦~¯Å National Experimental High School (Grade 10) 105 161 161 201.25
A4003 §d¡³¥Í M ¥x¥_¥««Ø°ê°ª¯Å¤¤¾Ç¤Q¦~¯Å Taipei Municipal Chien-Kuo Senior High School (Grade 10) 98 147 147 183.75
H5054 ³¯¡³Á¾ M °ê¥ß¥x¤¤¤@¤¤¤Q¤G¦~¯Å National Tauchung First Senior High School (Grade 12) 105 130 130 130.00
A5001 ¦ó¡³êM M ¥x¥_¥««Ø°ê°ª¯Å¤¤¾Ç¤Q¤@¦~¯Å Taipei Municipal Chien-Kuo Senior High School (Grade 11) 105 126 126 126.00
H4001 ªL¡³±c M ¥x¥_¼Ú¬w¾Ç®Õ¤Q¦~¯Å Taipei European School (Grade 10) 98 ¡Ð 98 122.50
A5002 ¦¿¡³±Ó M ¥x¥_¥««Ø°ê°ª¯Å¤¤¾Ç¤Q¤G¦~¯Å Taipei Municipal Chien-Kuo Senior High School (Grade 12) 102 0 102 102
H4012 ³¯¡³¾ö M °ê¥ß¬ì¾Ç¤u·~¶é°Ï¹êÅç°ª¯Å¤¤¾Ç¤Q¦~¯Å National Experimental High School (Grade 10) 77 35 77 96.25
A4002 ¤ý¡³¥ú M ¥x¥_¥««Ø°ê°ª¯Å¤¤¾Ç¤Q¦~¯Å Taipei Municipal Chien-Kuo Senior High School (Grade 10) 62 35 62 77.50
H5053 §d¡³°¥ M °ê¥ß¬ì¾Ç¤u·~¶é°Ï¹êÅç°ª¯Å¤¤¾Ç¤Q¤G¦~¯Å National Experimental High School (Grade 12) 74 ¡Ð 74 74
H5055 ±i¡³À[ F ¥x¥_¥«¥_¤@¤k¤¤¤Q¤G¦~¯Å Taipei Municipal Taipei First Girls High School (Grade 12) 65 ¡Ð 65 65.00



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(International Mathematics Tournament of the Towns)


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The Tournament of the Towns is perhaps the second most prestigious international mathematics competitions for high school students, after the International Mathematical Olympiad.
In two important ways, the Tournament is a superior competition. First, any number of students can participate, whereas the Olympiad is limited to a maximum of six students from each country. Since the Tournament is written locally, the expenses involved are minimal. This allows a large number of students to enjoy a taste of high-level international competition. Second, the problems are composed by outstanding practitioners of the art. They are chosen purely on merit, unencumbered by other considerations. It is often frustrating in the Olympiad to see beautiful problems wasted because certain interest groups machinate against them for ulterior motives.
The Tournament is more like a mathematical laboratory than an examination, again in two important ways. First, there are no big prizes to win, and so far, there is no propaganda value attached to the event. Thus participants should not feel any undue pressure. Unlike an examination when the students are supposed to know everything on which they are tested, the Tournament is designed to challenge their creativity. They should not feel ashamed if they are unable to solve any of the problems, because this is what is expected. Thus students should feel proud if they manage to conquer even one problem. Second, a generous amount of time is allowed for the Tournament. The usual examination really tests students whether they can answer routine questions quickly and accurately. There is really no time to ponder how a particular question is to be approached. This nurtures a bad work habit in students who tend to give up too easily on problems that do not yield immediately to an attack. Herein lies the main reason why a large number of students do poorly in the Tournament. It is not for lack of talent or effort, but lack of experience. They must not expect to read the problem and be able to write down the solution right away. They must learn to experiment with the given conditions and try to discover patterns or foster inspiration. These are essential ingredients in a successful research career, and the students cannot start too soon on acquiring such experience.

International Mathematics Tournament of the Towns
Vice-president
Andy LIU

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°ê¤¤²Õ (Junior)
½s¸¹ No. ©m¡@¦W Name ¥Í ¤é Date of Birth ©Ê§O Sex ´NŪ¾Ç®Õ¦~¯Å School and Grade ªì­ì©l¤ÀO-level °ª­ì©l¤ÀA-level µû¤ñ¤À¼ÆHigher ¥[Åv¤À¼Æmarks
A2001 §õ¤¸¶v LI, YUAN-JYUN 1997/12/15 M °ê¥ß¬ì¾Ç¤u·~¶é°Ï¹êÅ礤¾Ç°ê¤¤³¡¤K¦~¯Å National Experimental High School At Hsinchu Science Park (The Junior High School Division)(Grade 8) 84 126 126 168.00
B2002 ³¯«~¿« CHEN, PIN-HAN 1998/6/2 M ¥x¤¤¥«©~¤¯°ê¤¤¤K¦~¯Å Taichung Municipal Chu-Jen Junior High School(Grade 8) 91 105 105 140.00
A1005 §EÐA¾± YU, HUNG-HSUN 1999/2/4 M ¥x¥_¥«¤Ñ¥À°ê¤¤¤C¦~¯Å Taipei Municipal Tian Mu Junior High School (Grade 7) 77 87 87 130.50
A2003 ÁÂÄ£¼y HSIEH, YAO-CHING 1997/10/18 M ·s¥_¥«Äª¬w°ê¤¤¤K¦~¯Å New Taipei Municipal Luchou Junior High School (Grade 8) 84 94 94 125.33
A2004 °ª¤l°a KAO, TZU-HSUAN 1997/10/21 M ·s¥_¥««n¤s¤¤¾Ç°ê¤¤³¡¤K¦~¯Å Nanshan High School (The Junior High School Division)(Grade 8) 91 49 91 121.33
A3002 §dºÍ°a WU, JUI-HSUAN 1996/10/31 M ·s¥_¥«¤g«°°ê¤¤¤E¦~¯Å New Taipei Municipal Tucheng Junior High School (Grade 9) 91 119 119 119.00
C1005 ¿c©yÁ¾ LU, YI-CHIEN 1999/1/12 M °ª¶¯¥«¶§©ú°ê¤¤¤C¦~¯Å Kaohsiung Municipal Yang-Ming Junior High School(Grade 7) 77 23 77 115.50
C1002 ªLÝõ¯§ LIN, HSIN-YOU 2000/4/8 M ¥x«n¥«±R©ú°ê¤p¤»¦~¯Å Tainan Municipal Chongming Elementary School (Grade 6) 77 0 77 115.50
A3001 ¤ý¥Ã¥ú WANG, YUNG-KUANG 1997/1/31 M ·s¥_¥«¥ú´_°ê¤¤¤E¦~¯Å New Taipei Municipal Guang Fu Junior High School (Grade 9) 91 112 112 112.00
A2005 ·¨©v½å YANG, TSUNG-HSIEN 1998/1/17 M ·s¥_¥«¥ß¤å¤s°ê¤¤¤K¦~¯Å New Taipei Municipal Wenshun Junior High School (Grad 8) 84 42 84 112.00
A2024 ³\¤¸¿« SHEU, YUAN-HAN 1997/11/12 M °ò¶©¥«»Ê¶Ç°ê¤¤¤K¦~¯Å Keelung Municipal Ming Chwan Junior High School(Grad 8) 84 6 84 112.00
A3006 ±iÞ³®f CHANG,WEI-CHEN 1997/4/9 M ¥x¥_¥«¤¤¥¿°ê¤¤¤E¦~¯Å Taipei Municipal Zhong Zheng Senior High School(Grade 9) 91 105 105 105.00
A3025 ªL©v©¨ LIN, CHUNG-YUEH 1997/3/21 M ¥x¥_¥«Äõ¶®°ê¤¤¤E¦~¯Å Taipei Municipal Lanya Junior High School (Grade 9) 84 105 105 105.00
B2004 ±iªÚ·ë CHANG, FANG-YING 1998/1/2 F ¥x¤¤¥«©~¤¯°ê¤¤¤K¦~¯Å Taichung Municipal Chu-Jen Junior High School(Grade 8) 65 78 78 104.00


°ª¤¤²Õ (Senior)
½s¸¹ No. ©m¡@¦W Name ¥Í ¤é Date of Birth ©Ê§O Sex ´NŪ¾Ç®Õ¦~¯Å School and Grade ªì­ì©l¤ÀO-level °ª­ì©l¤ÀA-level µû¤ñ¤À¼ÆHigher ¥[Åv¤À¼ÆMarks
A4001 ³¯§B®¦ BRIAN CHEN 1996/11/19 M °ê¥ß¬ì¾Ç¤u·~¶é°Ï¹êÅç°ª¯Å¤¤¾ÇÂù»y³¡¤E¦~¯Å International Bilingual School at Hsinchu-science-park (Grade 9) 84 134 134 167.5
B4001 ªL¹©¶v LIN, TING-CHUN 1997/10/24 M ¥x¤¤¥«´f¤å°ª¤¤°ê¤¤³¡¤K¦~¯Å Taichung Municipal Hui-Wen High School (The Junior High School Division) (Grad 8) 91 121 121 151.25
A5019 ¦¿¸Û±Ó CHAING, CHENG-MIN 1995/3/4 M ¥x¥_¥««Ø°ê°ª¯Å¤¤¾Ç¤Q¤@¦~¯Å Taipei Municipal Chien-Kuo Senior High School (Grade 11) 81 133 133 133
B5008 ³¯©MÁ¾ CHEN, HO-CHIEN 1995/12/6 M °ê¥ß¥x¤¤¤@¤¤¤Q¤@¦~¯Å National Tauchung First Senior High School (Grade 11) 84 126 126 126.00
A4011 §d¬ê¼á WU, YU-CHENG 1996/7/31 M °ê¥ß¬ì¾Ç¤u·~¶é°Ï¹êÅç°ª¯Å¤¤¾Ç¤Q¦~¯Å National Experimental High School (Grade 10) 76 94 94 117.50
A4024 ¦ó¬PêM HO, HSING-YIEH 1995/10/27 M ¥x¥_¥««Ø°ê°ª¯Å¤¤¾Ç¤Q¦~¯Å Taipei Municipal Chien-Kuo Senior High School (Grade 10) 84 91 91 113.75
B4007 ªL¯E½Ë LIN, HAU-YI 1996/9/5 M ªF®ü¤j¾ÇªþÄݹêÅç°ª¤¤¤Q¦~¯Å The Affiliated Experimental High School of Tunghai University (Grade 10) 77 90 90 112.5
A4004 ªL´ï±c LIN, CHEN-WEI 1997/4/16 M ¥x¥_¼Ú¬w¾Ç®Õ¤E¦~¯Å Taipei European School (Grade 9) 86 56 86 107.50
A4002 §d³Õ¥Í WU, PO-SHENG 1997/4/12 M ¥x¥_¥«¥_§ë°ê¤¤¤E¦~¯Å Taipei Beitou Junior High School (Grade 9) 84 84 84 105.00
A4021 §f«Û¼w LU, YAN-DER 1995/9/29 M ¥x¥_¥««Ø°ê°ª¯Å¤¤¾Ç¤Q¦~¯Å Taipei Municipal Chien-Kuo Senior High School (Grade 10) 84 83 84 105.00
C4005 §d¨¹¸Û WU, PANG-CHENG 1997/3/18 M °ª¶¯¥«°ê©÷°ê¤¤¤E¦~¯Å Kaohsiung Municipal Guochang Junior High School (Grade 9) 84 55 84 105.00
A4013 Á¦tÆ[ HSIEH, YU-GUAN 1996/5/13 M ¥x¥_¥««Ø°ê°ª¯Å¤¤¾Ç¤Q¦~¯Å Taipei Municipal Chien-Kuo Senior High School (Grade 10) 84 20 84 105.00
A4006 ªL¥ÃÀà LIN, YUNG-CHUN 1996/2/2 M °ê¥ß®v¤jªþ¤¤¤Q¦~¯Å The Affiliated Senior High School of National Taiwan Normal University (Grade 10) 84 ¡Ð 84 105.00
A5012 §d¬R°¥ WU, YU-SHENG 1995/6/21 M °ê¥ß¬ì¾Ç¤u·~¶é°Ï¹êÅç°ª¯Å¤¤¾Ç¤Q¤@¦~¯Å National Experimental High School (Grade 11) 84 98 98 98.00



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A3002 §õ®f¼Ý Lee, Chen Yi 1996/2/29 M ·s¦Ë¥«¥úµØ°ê¤¤¤E¦~¯Å Hsinchu Municipal Guang-Hua Junior High School (Grade 9)
52 147 147 147
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84 142 142 142
B1004 ªL¹©¶v Lin, Ting Chun 1997/10/24 M ¥x¤¤¥«´f¤å°ª¤¤°ê¤¤³¡¤C¦~¯Å Taichung Municipal Hui-Wen High School (The Junior High School Division) (Grad 7)
84 71 84 126
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84 56 84 126
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105 189 189 236.25
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105 147 147 183.75
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84 140 140 140
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105 133 133 133.00
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105 93 105 131.25
A4007 §d¬R°¥ Wu, Yu Sheng 1995/6/21 M °ê¥ß¬ì¾Ç¤u·~¶é°Ï¹êÅç°ª¯Å¤¤¾Ç¤Q¦~¯Å National Experimental High School (Grade 10)
105 57 105 131.25
A4012 ³\¶v¬f Hsu, Chun Po 1994/11/24 M ¥x¥_¥««Ø°ê°ª¯Å¤¤¾Ç¤Q¦~¯Å Taipei Municipal Chien-Kuo Senior High School (Grade 10)
96 56 96 120.00
C4001 ³¢­¿¸Û Kuo, Pei Cheng 1996/5/17 M °ª¶¯¥«¤T¥Á°ê¤¤¤E¦~¯Å Kaohsiung Municipal San-Min Junior High School (Grade 9)
85 91 91 113.75
A4004 ¤ý°Ã Wang, Mien 1995/5/21 M °ê¥ß¬ì¾Ç¤u·~¶é°Ï¹êÅç°ª¯Å¤¤¾Ç¤Q¦~¯Å National Experimental High School (Grade 10)
90 44 90 112.50
A4017 µØ®¶´Q Hua, Chen Wei 1995/5/25 M ¥x¥_¥««Ø°ê°ª¯Å¤¤¾Ç¤Q¦~¯Å Taipei Municipal Chien-Kuo Senior High School (Grade 10)
90 0 90 112.50
C5009 §õ¸ÎÂ× Li, Yu Feng 1993/3/7 M °ê¥ß°ª®v¤jªþ¤¤¤Q¤G¦~¯Å National Kaohsiung Normal Univ. Affiliated Senior High School (Grade 12)
101 0 101 101.00
A4020 ¹ùÖö¶³ Liao, Yi Yun 1995/7/11 M ¥x¥_¥««Ø°ê°ª¯Å¤¤¾Ç¤Q¦~¯Å Taipei Municipal Chien-Kuo Senior High School (Grade 10)
79 22 79 98.75
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74 37 74 92.50
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C5005 Á©ӿ« Hsieh, Cheng Han 1994/10/14 M °ê¥ß¥x«n¤@¤¤¤Q¤@¦~¯Å National Tainan First Senior High School (Grade 11)
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2008Àô²y«°¥«¼Æ¾ÇÄvÁɰꤤ²Õªì¯Å¨÷¸ÕÃD(2009¦~¤¸¤ë1¤é(¬P´Á¥|)¤W¤È9®É¤½§i)
http://www.chiuchang.org.tw/download/tt/2008/Juniorolevel.pdf


International Mathematics Tournament of The Towns
2008 Autumn Round Junior O- Level
http://www.chiuchang.org.tw/download/tt/2008/JuniorolevelEng.pdf


2008Àô²y«°¥«¼Æ¾ÇÄvÁɰꤤ²Õ°ª¯Å¨÷¸ÕÃD(2009¦~¤¸¤ë2¤é(¬P´Á¤­)¤W¤È9®É¤½§i)
http://www.chiuchang.org.tw/download/tt/2008/Junioralevel.pdf

International Mathematics Tournament of The Towns
2008 Autumn Round Junior A- Level
http://www.chiuchang.org.tw/download/tt/2008/JunioralevelEng.pdf


2008Àô²y«°¥«¼Æ¾ÇÄvÁɰª¤¤²Õªì¯Å¨÷¸ÕÃD(2009¦~¤¸¤ë1¤é(¬P´Á¥|)¤W¤È9®É¤½§i)
http://www.chiuchang.org.tw/download/tt/2008/Seniorolevel.pdf


International Mathematics Tournament of The Towns
2008 Autumn Round Junior O- Level
http://www.chiuchang.org.tw/download/tt/2008/SeniorolevelEng.pdf

2008Àô²y«°¥«¼Æ¾ÇÄvÁɰª¤¤²Õ°ª¯Å¨÷¸ÕÃD(2009¦~¤¸¤ë2¤é(¬P´Á¤­)¤W¤È9®É¤½§i)
http://www.chiuchang.org.tw/download/tt/2008/Senioralevel.pdf


International Mathematics Tournament of The Towns
2008 Autumn Round Junior A- Level
http://www.chiuchang.org.tw/download/tt/2008/SenioralevelEng.pdf



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