2003 Mathematics Game

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This Web page is intended to record solutions submitted by students in grades three through twelve. Submissions will be posted starting February 1, 2003.

Rules: use the digits in the year 2003 and the operations of +, -, x, ÷, sqrt (square root), ^ (raise to a power), and ! (factorial), along with grouping symbols, to write expressions for the counting numbers 1 through 100. Please read and follow the rules carefully.

Teachers may print out worksheets for students to record their findings, or print sheets of manipulatives for students to use.

STUDENT SOLUTIONS 61 to 70

  Solution Name Grade School
61        
  2*30+0!
3*20+0!		 DobÛ Andr·s 9 S·gv·ri Endre Secondary School
  2x30+0! Christoph Bergemann 12 Christianeum
  (30x2)+0! Dary Berke 12 Model Secondary School for the Deaf
  20x3+0! Kelsey Bing 6 Pocahontas Middle School
  (30X2)+0! Sylvia B 6 Parker Middle School
  20*3+0! Lionel Chen 8 The Chinese High School
  20x3+0! Eddie Chua 9 The Chinese High School
  20*3+0! Caitlin Conahan 8 Mount Olive Middle School
  30*2+0! Kyle Crouch 6 Oak Knoll Middle School
  30x2+0! Melissa de Nijs 6 Pocahontas Middle School
  2*30+0! Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  2!x30+0! Emily Fraser 6 Johnson Middle School
  30*2+0! Crystal F. 6 Parker Middle School
  30*2+0! Patrick Gallagher 6 Pochontas Middle School
  (30*2)+0! Lisa Gardner 7 Lincoln Middle School
  30x2+0! Rebecca George 6 Pocahontas Middle School
  30*2+0! Melissa Grossberndt 8 Mount Olive Middle School
  30*2+0! Jennifer Harrell 6 Pocahontas Middle School
  30x2+0! Jessica Herbert 6 Pocahontas Middle School
  2x30+0! Jen Herrmann 6 Johnson Middle School
  20*3+0! Nick Hookway 8 Mount Olive Middle School
  20x3+0! Ong Zhen Iang 9 The Chinese High School
  20*3+0! Li Jiu 9 The Chinese High School
  (2x30)+(0!) Peter Katsaros 6 Johnson Middle School
  30*2+0! Jacqueline Kelly 8 Mount Olive Middle School
  2x30+0! Bryson Kemler 6 Oak Knoll Middle School
  30 X 2 + 0! Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  2*30+0! Lauren Klos 8 Mount Olive Middle School
  30*2+0! Sheldon Leong 9 The Chinese High School
  (30*2)+0! Ronald Lim 9 The Chinese High School
  2*30+0! Eliut Lopez 8 Mount Olive Middle School
  30*2+0! John Maluk 8 Mount Olive Middle School
  3 x 20 + 0! Tan Kian Loong Melvin 9 The Chinese High School (Singapore)
  20*3+0! Oszkár Mihály 10 SZTE Ságvári Endre Gyakorló Gimn.
  30 * 2 + 0! Tok Wei Min 7 The Chinese High School
  30*2+0! Arleen Molina 8 Mount Olive Middle School
  2x30+0! Robbie O'Callaghan 8 Mount Olive Middle School
  20 x 3 + 0! Koh Chao Rong 9 The Chinese High School
  30*2+0! Christopher Seah 8 The Chinese High School, Singapore
  30X2+0! Ivan Lim Yi Sheng 9 The Chinese High School
  (20x3)+0! Bridget Sheppard 6 Johnson Middle School
  30*2+0! Lim Ming Swin 9 The Chinese High School
  30*2+0! Jessica T 6 Pocahontas Middle School
  30*2+0! Krista VanEmburg 8 Mount Olive Middle School
  20*3+0! Jesse R. Westcott 8 Mount Olive Middle School
  20x3+0! John Woo 9 The Chinese High School
  30*2!+0! Low Wen Xi 9 The Chinese High School
  30*2+0! Sin Yong 9 The Chinese High School
  3*20+0! Cai Yufeng 2 The Chinese High School
  30*2+0! Ong Yan Zhi 9 The Chinese High School
  20x3+0! Amanda 6 Parker Middle School
  20*3+0! Ashley 6 Oak Knoll Middle School
  30x2+0! Tadeja 4 Gimnazija Beûigrad (Slovenia)
  30*2+0! Tiffani 8 Mount Olive Middle School
         
62        
  2x(30+0!) Christoph Bergemann 12 Christianeum
  (0!+30)x2 Devon Black 6 Johnson Middle School
  2^3!-0!-0! Sylvia B 6 Parker Middle School
  2!^3!-0!-0! Lionel Chen 8 The Chinese High School
  2^(3!)-0!-0! Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  (30+0!)*2 Crystal F. 6 Parker Middle School
  (2^3!) - 0!-0! Lisa Gardner 7 Lincoln Middle School
  (30+0!)x2 Jen Herrmann 6 Johnson Middle School
  2^3!-0!-0! Ong Zhen Iang 9 The Chinese High School
  (30+(0!))x2 Peter Katsaros 6 Johnson Middle School
  (30 + 0!) X 2 Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  2^(3!)-(0!+0!) Sheldon Leong 9 The Chinese High School
  (30+0!)*2 Ronald Lim 9 The Chinese High School
  (30 + 0!) x 2 Tan Kian Loong Melvin 9 The Chinese High School (Singapore)
  2(30+0!) Stephanie Menagh 8 Mount Olive Middle School
  2^(3!)-0!-0! Oszkár Mihály 10 SZTE Ságvári Endre Gyakorló Gimn.
  2(30 + 0!) Tok Wei Min 7 The Chinese High School
  2(30 + 0!) Koh Chao Rong 9 The Chinese High School
  2^(3!)-0!-0! Devan R 11 C. H. McCann Technical School
  (30+0!)*2 Christopher Seah 8 The Chinese High School, Singapore
  (30+0!)x2 Bridget Sheppard 6 Johnson Middle School
  (2)^3!-0!-0! Lim Ming Swin 9 The Chinese High School
  (30+0!)x2 John Woo 9 The Chinese High School
  2^(3!)-0!-0! Low Wen Xi 9 The Chinese High School
  (2^3!)-0!-0! Sin Yong 9 The Chinese High School
  (30+0!)*2 Cai Yufeng 2 The Chinese High School
  2(30+0!) Ong Yan Zhi 9 The Chinese High School
  2(30+0!) Anastasia Zhuravlyova 8 Mount Olive Middle School
  2^3!-0!-0! Tadeja 4 Gimnazija Beûigrad (Slovenia)
         
63        
  3x(20+0!) Christoph Bergemann 12 Christianeum
  (2^3!)-0!+0 Dary Berke 12 Model Secondary School for the Deaf
  2^3!-0!-0 Sylvia B 6 Parker Middle School
  2!^3!-0!+0 Lionel Chen 8 The Chinese High School
  2^(3!)-0!+0 Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  (20+0!)(3) Nicole Feldman 8 Mount Olive Middle School
  (20+0!)x3 Michelle Foley 6 Pocahontas Middle School
  (20 +0!)3
(2^3!) - 0!+0		 Lisa Gardner 7 Lincoln Middle School
  (20+0!)x3 Jen Herrmann 6 Johnson Middle School
  2^3!-0!+0 Ong Zhen Iang 9 The Chinese High School
  (20+(0!))x3 Peter Katsaros 6 Johnson Middle School
  2^(3!) - 0! - 0 Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  2^(3!)-0!-0 Sheldon Leong 9 The Chinese High School
  (20+0!)*3 Ronald Lim 9 The Chinese High School
  2^3! - 0! + 0 Tan Kian Loong Melvin 9 The Chinese High School (Singapore)
  (2^(3!)-0!)*0! Oszkár Mihály 10 SZTE Ságvári Endre Gyakorló Gimn.
  3(20 + 0!) Tok Wei Min 7 The Chinese High School
  (20+0!)*3 Amanda Ni 5 Singapore American School
  3(20 + 0!) Koh Chao Rong 9 The Chinese High School
  (0!+20)x3 Lee Schechter 6 Johnson Middle School
  (20+0!)*3 Christopher Seah 8 The Chinese High School, Singapore
  (2)^3!-0!+0 Lim Ming Swin 9 The Chinese High School
  (20+0!)x3 John Woo 9 The Chinese High School
  2^(3!)-0!+0 Low Wen Xi 9 The Chinese High School
  2^(3!)-(0!)^(0!)
2^(3!)-(0!)*(0!)		 Robert Velez 9 JATE Sagvari Endre Gyakorlo Gimnazium
  (2^3!)-0!+0 Sin Yong 9 The Chinese High School
  (20+0!)*3 Cai Yufeng 2 The Chinese High School
  3(20+0!) Ong Yan Zhi 9 The Chinese High School
  (20+0!)3 Anastasia Zhuravlyova 8 Mount Olive Middle School
  2^3!-0!+0 Tadeja 4 Gimnazija Beûigrad (Slovenia)
         
64        
  2^[3!x(0^0)] Philip Loh Zhi An 7 The Chinese High School, Singapore
  32x(0!+0!) Frank Ashby 6 Pocahontas Middle School
  2^(3x(0!+0!)) Christoph Bergemann 12 Christianeum
  (2^3!)+0+0 Dary Berke 12 Model Secondary School for the Deaf
  32X(0!+0!) Sylvia B 6 Parker Middle School
  2^(3!)+ sqrt 0 - 0 Holly Cheek 11 Brookstone School
  2!^3!+0+0 Lionel Chen 8 The Chinese High School
  2^3!+0+0 Caitlin Conahan 8 Mount Olive Middle School
  32x(0!+0!) Melissa de Nijs 6 Pocahontas Middle School
  32x(0!+0!) James DeCelle 6 Johnson Middle School
  2^(3!)-0+0 Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  32(0!+0!) Cabell E. 6 Pocahontas Middle School
  32x(0!+0!) Michelle Foley 6 Pocahontas Middle School
  32*(0!+0!) Crystal F. 6 Parker Middle School
  32*(0!+0!) Patrick Gallagher 6 Pochontas Middle School
  32(0!+0!)
(2^3!) - 0*0		 Lisa Gardner 7 Lincoln Middle School
  32x(0!+0!) Rebecca George 6 Pocahontas Middle School
  (2^3)^(0!+0!) Jen Herrmann 6 Johnson Middle School
  2^(3!) - 0 - 0 Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  2^(3!)-0-0 Sheldon Leong 9 The Chinese High School
  32*(0!+0!) Ronald Lim 9 The Chinese High School
  32x(0!+0!) Ruiqi Mao 6 Johnson Middle School
  (2 + 0! + 0!)^3 Tan Kian Loong Melvin 9 The Chinese High School (Singapore)
  2^(3!)*0!*0! Oszkár Mihály 10 SZTE Ságvári Endre Gyakorló Gimn.
  32(0! + 0!) Tok Wei Min 7 The Chinese High School
  32x(0!+0!) Andrew Peaden 6 Pocahontas Middle School
  32 x (0! + 0!) Koh Chao Rong 9 The Chinese High School
  (2+0!+0!)^3 Christopher Seah 8 The Chinese High School, Singapore
  (0!+0!)^(2*3) Bridget Sheppard 6 Johnson Middle School
  [(0!+0!)^2]^3 Sim Wei Shi 7 Nanyang Pri Sch
  32*(0!+0!) Lim Ming Swin 9 The Chinese High School
  (0!+0!)x32 Lauren Thomas 7 The International School of Toulouse
  2^3!+0+0 Chen Tongyuan 8 The Chinese High School, Singapore
  32x(0!+0!) Jessica T 6 Pocahontas Middle School
  [(0!+0!)^3]^2
(2+0)^3!+0
2^(3!)-0!+0!
[(0!+0!)*2]^3
[(0!+0!)*2!]^3		 Robert Velez 9 JATE Sagvari Endre Gyakorlo Gimnazium
  (3!+0!+0!)^2 John Woo 9 The Chinese High School
  2^(3!)+0+0 Low Wen Xi 9 The Chinese High School
  32*(0!+0!) Sin Yong 9 The Chinese High School
  32*(0!+0!) Cai Yufeng 2 The Chinese High School
  2^(3(0!+0!)) Ong Yan Zhi 9 The Chinese High School
  (3!+0!+0!)^2 Amanda 6 Parker Middle School
  2^(3!)+0+0 Ron 11 C. H. McCann Technical School
  2^3!+0+0 Tadeja 4 Gimnazija Beûigrad (Slovenia)
         
65        
  2^(3!)+0!+0 Christoph Bergemann 12 Christianeum
  (2^3!)+0+0! Dary Berke 12 Model Secondary School for the Deaf
  2!^3!+0!+0 Lionel Chen 8 The Chinese High School
  2^3!+0!+0 Caitlin Conahan 8 Mount Olive Middle School
  2^(3!)-0+0! Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  (2^3!) + 0!-0 Lisa Gardner 7 Lincoln Middle School
  2^3!+0!+0 Ong Zhen Iang 9 The Chinese High School
  2^(3!) + 0! - 0 Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  2^(3!)+0!-0 Sheldon Leong 9 The Chinese High School
  [2^(3!)]+0!+0 Ronald Lim 9 The Chinese High School
  2^3! + 0! + 0 Tan Kian Loong Melvin 9 The Chinese High School (Singapore)
  (2^(3!)+0!)*0! Oszkár Mihály 10 SZTE Ságvári Endre Gyakorló Gimn.
  [2^(3!)] + 0! + 0 Koh Chao Rong 9 The Chinese High School
  2^3!+0!+0 Christopher Seah 8 The Chinese High School, Singapore
  (2^(3!))+0!+0 Lim Ming Swin 9 The Chinese High School
  2^3!+0!+0 Chen Tongyuan 8 The Chinese High School, Singapore
  (2+0)^3!+0!
2^(3!)+(0!)*(0!)
2^(3!)+(0!)^(0!)		 Robert Velez 9 JATE Sagvari Endre Gyakorlo Gimnazium
  2^(3!)+0!+0 John Woo 9 The Chinese High School
  2^(3!)+0!+0 Hailey W 11 C.H McCann Technical School
  2^(3!)+0!+0 Low Wen Xi 9 The Chinese High School
  (2^(3!))+0!+0 Sin Yong 9 The Chinese High School
  2^3!+0!+0 Cai Yufeng 2 The Chinese High School
  (2^3!)+0!+0 Ong Yan Zhi 9 The Chinese High School
  2^3!+0!+0 Tadeja 4 Gimnazija Beûigrad (Slovenia)
         
66        
  2^(3!)+0!+0! Christoph Bergemann 12 Christianeum
  (2^3!)+0!+0! Dary Berke 12 Model Secondary School for the Deaf
  2^3!+0!+0! Caitlin Conahan 8 Mount Olive Middle School
  2^(3!)+0!+0! Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  (2^3!) + 0!+0! Lisa Gardner 7 Lincoln Middle School
  2^3!+0!+0! Ong Zhen Iang 9 The Chinese High School
  2^(3!) + 0! + 0! Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  2^(3!)+0!+0! Sheldon Leong 9 The Chinese High School
  [2^(3!)]+0!+0! Ronald Lim 9 The Chinese High School
  2^3!+0!+0! Tyler McLean 8 Mount Olive Middle School
  2^3! + 0! + 0! Tan Kian Loong Melvin 9 The Chinese High School (Singapore)
  2^(3!)+0!+0! Oszkár Mihály 10 SZTE Ságvári Endre Gyakorló Gimn.
  [2^(3!)] + 0! + 0! Koh Chao Rong 9 The Chinese High School
  (0!+0!)+2^3! Timur Sarki 8 Mount Olive Middle School
  2^3!+0!+0! Christopher Seah 8 The Chinese High School, Singapore
  2^3!+0!+0! Ivan Lim Yi Sheng 9 The Chinese High School
  (2^(3!))+0!+0! Lim Ming Swin 9 The Chinese High School
  2^3!+0!+0! Chen Tongyuan 8 The Chinese High School, Singapore
  2^(3!)+0!+0! Robert Velez 9 JATE Sagvari Endre Gyakorlo Gimnazium
  2^(3!)+0!+0! John Woo 9 The Chinese High School
  2^(3!)+0!+0! Low Wen Xi 9 The Chinese High School
  (2^(3!))+0!+0! Sin Yong 9 The Chinese High School
  2^3!+0!+0! Cai Yufeng 2 The Chinese High School
  (2^3!)+0!+0! Ong Yan Zhi 9 The Chinese High School
  2^3!+0!+0! Tadeja 4 Gimnazija Beûigrad (Slovenia)
         
67        
         
68        
         
69        
  sqrt((3!+0!)!+0!)-2 Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  sqrt((3! + 0!)! + 0!) - 2 Lisa Gardner 7 Lincoln Middle School
  sqrt ((3! + 0!)! + 0!) - 2 Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  (sqrt[((3!+0!)!)+0!])-2 Brett Michelson 6 Johnson Middle School
  sqrt((3!+0!)!+0!)-2 Adam Riegel 6 Johnson Middle School
  {sqrt[(3! + 0!)! + 0!]} - 2 Koh Chao Rong 9 The Chinese High School
  sqrt[(3!+0!)!+0!]-2 Low Wen Xi 9 The Chinese High School
         
70        
  (20 + 0!) / .3 Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  (20+0!)/.3 Brett Michelson 6 Johnson Middle School
  (20 + 0!)/.3 Koh Chao Rong 9 The Chinese High School
  (20+0!)/.3 Low Wen Xi 9 The Chinese High School
  (20+0!)/.3 Ong Yan Zhi 9 The Chinese High School
         

Solutions 1 to 10 Solutions 11 to 20 Solutions 21 to 30
Solutions 31 to 40 Solutions 41 to 50 Solutions 51 to 60
Solutions 71 to 80 Solutions 81 to 90 Solutions 91 to 100
Please notify Judy Ann Brown of any errors.

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