2003 Mathematics Game

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 41 to 50

  Solution Name Grade School
41        
  (0!/.2)!/3+0! Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  (0!/.2)!/3 +0! Lisa Gardner 7 Lincoln Middle School
  (0! / .2)! / 3 + 0! Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  (0!/.2)!/3+0! Ronald Lim 9 The Chinese High School
  [(0!/.2)!]/3 + 0! Koh Chao Rong 9 The Chinese High School
  (0!/.2)!/3+0! Low Wen Xi 9 The Chinese High School
  (0!/.2)!/3+0! Ong Yan Zhi 9 The Chinese High School
         
42        
  (2+0!)!x(3!+0!) Christoph Bergemann 12 Christianeum
  (3!)X((2+0!)!+0!) Sylvia B 6 Parker Middle School
  (3!)x((2+0!)!+0!) Emily Fraser 6 Johnson Middle School
  (3!+0!) (0!+2)! Lisa Gardner 7 Lincoln Middle School
  (3! + 0!) X (2+0!)! Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  (3!+0!)*(2+0!)! Ronald Lim 9 The Chinese High School
  3!*((2+0!)!+0!)
(0!+2!)!*(3!+0!)
Oszkár Mihály 10 SZTE Ságvári Endre Gyakorló Gimn.
  (2!+0!)!(3!+0!) Jose Reyes 10 Indio High School
  (2 + 0!)! x (3! + 0!) Koh Chao Rong 9 The Chinese High School
  [(2+0!)!+0!]*3! Lim Ming Swin 9 The Chinese High School
  3!*[(2+0!)!+0!] Low Wen Xi 9 The Chinese High School
  (3!+0!)((2+0!)!) Ong Yan Zhi 9 The Chinese High School
         
43 No solutions have been submitted for this number.
         
44        
  (3+0!)!+20 Sylvia B 6 Parker Middle School
  20+(3+0!)! Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  (3+0!)!+20 Crystal F. 6 Parker Middle School
  (0!/.02)-3! Lisa Gardner 7 Lincoln Middle School
  20+(3+0!)! Amanda G. 6 Parker Middle School
  (3+0!)!+20 Ong Zhen Iang 9 The Chinese High School
  (3+0!)!+20 Sheldon Leong 9 The Chinese High School
  (0!/.02)-3! Koh Chao Rong 9 The Chinese High School
  (3+0!)!+20 Christopher Seah 8 The Chinese High School, Singapore
  20+[(3+0!)!] Bridget Sheppard 6 Johnson Middle School
  (3+0!)!+20 Lim Ming Swin 9 The Chinese High School
  (3+0!)!+20 John Woo 9 The Chinese High School
  0!/.02-3! Low Wen Xi 9 The Chinese High School
  (3+0!)!+20 Sin Yong 9 The Chinese High School
  (3+0!)!+20 Cai Yufeng 2 The Chinese High School
  (0!/.02)-3! Ong Yan Zhi 9 The Chinese High School
         
45        
  3^(0!+0!)/(.2) Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  3^(0!+0!)/.2 Crystal F. 6 Parker Middle School
  (3^(0!+0!))/.2 Lisa Gardner 7 Lincoln Middle School
  3^(0!+0!) / .2 Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  3^(0!+0!)/.2 Ronald Lim 9 The Chinese High School
  (3^(0!+0!))/.2 Adam Riegel 6 Johnson Middle School
  [3^(0!+0!)] /.2 Koh Chao Rong 9 The Chinese High School
  3^(0!+0!)/.2 Low Wen Xi 9 The Chinese High School
  (3^(0!+0!))/.2 Ong Yan Zhi 9 The Chinese High School
         
46        
  (0!+0!)x(23) Dary Berke 12 Model Secondary School for the Deaf
  (0!+0!)x23 Devon Black 6 Johnson Middle School
  23X(0!+0!) Sylvia B 6 Parker Middle School
  23*(0!+0!) Lionel Chen 8 The Chinese High School
  23x(0!+0!) James DeCelle 6 Johnson Middle School
  23*(0!+0!) Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  23x(0!+0!) Cabell Edmunds 6 Pocahontas Middle School
  23(0!+0!) Cabell E. 6 Pocahontas Middle School
  23x(0!+0!) Michelle Foley 6 Pocahontas Middle School
  23*(0!+0!) Crystal F. 6 Parker Middle School
  23*(0!+0!) Lisa Gardner 7 Lincoln Middle School
  23x(0!+0!) Rebecca George 6 Pocahontas Middle School
  23x(0!+0!) Jen Herrmann 6 Johnson Middle School
  23x[0!+0!] Jenny Hume 7 The International School of Toulouse
  23x(0!+0!) Ong Zhen Iang 9 The Chinese High School
  23x((0!)+(0!)) Peter Katsaros 6 Johnson Middle School
  23 X (0!+0!) Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  23*(0!+0!) Sheldon Leong 9 The Chinese High School
  23*(0!+0!) Ronald Lim 9 The Chinese High School
  23(0!+0!) Zaira Lopez 9 Indio High School
  23 x (0! + 0!) Tan Kian Loong Melvin 9 The Chinese High School (Singapore)
  23*(0!+0!) Oszkár Mihály 10 SZTE Ságvári Endre Gyakorló Gimn.
  23(0! + 0!) Tok Wei Min 7 The Chinese High School
  23x(0!+0!) Andrew Peaden 6 Pocahontas Middle School
  23 x (0! +0!) Koh Chao Rong 9 The Chinese High School
  23x(0!+0!) Bridget Sheppard 6 Johnson Middle School
  23*(0!+0!) Lim Ming Swin 9 The Chinese High School
  23x(0!+0!) Jessica T 6 Pocahontas Middle School
  23x(0!+0!) John Woo 9 The Chinese High School
  23*(0!+0!) Low Wen Xi 9 The Chinese High School
  23*(0!+0!) Sin Yong 9 The Chinese High School
  23*(0!+0!) Cai Yufeng 2 The Chinese High School
  23(0!+0!) Ong Yan Zhi 9 The Chinese High School
  23(0!+0!) Tadeja 4 Gimnazija Beûigrad (Slovenia)
         
47        
  2x(3+0!)!-0! Christoph Bergemann 12 Christianeum
  [(3+0!)!]x2-0! Dary Berke 12 Model Secondary School for the Deaf
  (3+0!)!X2-0! Sylvia B 6 Parker Middle School
  [(3+0!)!x2]-0! Benjamin Danielsson 5 Community Park
  (3+0!)!*2-0! Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  (0!/.02)-3 Lisa Gardner 7 Lincoln Middle School
  (3+0!)!x2-0! Jen Herrmann 6 Johnson Middle School
  (3+0!)!*2-0! Michele Hughes 8 Mount Olive Middle School
  (3+0!)!x2-0! Ong Zhen Iang 9 The Chinese High School
  (3+0!)! X 2 - 0! Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  (3+0!)!*2-0! Ronald Lim 9 The Chinese High School
  (3+0!)!*2-0! Anthony LiPetri 8 Mount Olive Middle School
  (3 + 0!)! x 2 - 0! Tan Kian Loong Melvin 9 The Chinese High School (Singapore)
  2((3 + 0!)!) - 0! Tok Wei Min 7 The Chinese High School
  (3+0!)!*2-0! Kevin O'Connell 8 Mount Olive Middle School
  (3+0!)!*2-0! Elena Paskoska 8 Mount Olive Middle School
  (3 + 0!)! x 2 - 0! Koh Chao Rong 9 The Chinese High School
  (3+0!)!*2-0! Christopher Seah 8 The Chinese High School, Singapore
  [(3+0!)!]x2-0! Bridget Sheppard 6 Johnson Middle School
  (3+0!)!*2-0! Lim Ming Swin 9 The Chinese High School
  (3+0!)!*2-0! Low Wen Xi 9 The Chinese High School
  (3+0!)!*2-0! Sin Yong 9 The Chinese High School
  (3+0!)!*2-0! Cai Yufeng 2 The Chinese High School
  (0!/.02)-3
(3+0!)!*2-0!
Ong Yan Zhi 9 The Chinese High School
         
48        
  [3+(0^0)]!x2 Philip Loh Zhi An 7 The Chinese High School, Singapore
  2x(3+0!)!+0
2x(3+0!)!-0
Christoph Bergemann 12 Christianeum
  [(3+0!)!]x2+0 Dary Berke 12 Model Secondary School for the Deaf
  (3+0!)!X2+0 Sylvia B 6 Parker Middle School
  (3!+0!)^2-0! Lionel Chen 8 The Chinese High School
  (3+0!)!*2-0 Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  (3!+0!)^2-0! Sara Duvall 6 Pocahontas Middle School
  (3+0!)!*2 Crystal F. 6 Parker Middle School
  ((3+0!)!)2+0 Lisa Gardner 7 Lincoln Middle School
  (3+0!)!x2+0 Jen Herrmann 6 Johnson Middle School
  (3+0!)!*2+0 Jordan Heymann 8 Mount Olive Middle School
  (3+0!)!x2+0 Ong Zhen Iang 9 The Chinese High School
  (3+0^0)!*2 Li Jiu 9 The Chinese High School
  (3+0!)! X 2 + 0 Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  (3!+0!)^2-0! Sheldon Leong 9 The Chinese High School
  (3!+0!)^2-0! Ronald Lim 9 The Chinese High School
  (3 + 0^0)! x 2 Tan Kian Loong Melvin 9 The Chinese High School (Singapore)
  (3!+0!)^2-0! Oszkár Mihály 10 SZTE Ságvári Endre Gyakorló Gimn.
  2((3 + 0!)!) + 0 Tok Wei Min 7 The Chinese High School
  2[(3+0!)!]+0 Benjamin Chow Jie Ming 7 The Chinese High
  (3+0!)!*2+0 Kevin O'Connell 8 Mount Olive Middle School
  (3+0!)!*2+0 Elena Paskoska 8 Mount Olive Middle School
  (3!-2!)!(0!+0!) Jose Reyes 10 Indio High School
  (3 + 0!)! x 2 - 0 Koh Chao Rong 9 The Chinese High School
  (3+0!)!*2+0 Christopher Seah 8 The Chinese High School, Singapore
  [(3+0!)!]x2x0! Bridget Sheppard 6 Johnson Middle School
  (3!+0!)^2-0! Lim Ming Swin 9 The Chinese High School
  (0!+3!)^2-0! Robert Velez 9 JATE Sagvari Endre Gyakorlo Gimnazium
  (3!-0!-0!)!x2! John Woo 9 The Chinese High School
  (3!+0!)^2-0! Low Wen Xi 9 The Chinese High School
  (3!+0!)^2-0! Sin Yong 9 The Chinese High School
  (3+0!)!*2-0 Cai Yufeng 2 The Chinese High School
  (3+0!)!*2+0 Ong Yan Zhi 9 The Chinese High School
  (0!+3)!X2+0 Henry 6 Pocahontas Middle School
         
49        
  2x(3+0!)!+0! Christoph Bergemann 12 Christianeum
  [(3+0!)!]x2+0! Dary Berke 12 Model Secondary School for the Deaf
  (3+0!)!X2+0! Sylvia B 6 Parker Middle School
  (3!+0!)^2+0 Lionel Chen 8 The Chinese High School
  (3+0!)!*2+0! Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  (3!+0!)^2+0 Sara Duvall 6 Pocahontas Middle School
  ((3+0!)!)2+0!
((3)!+0!+0)^2
Lisa Gardner 7 Lincoln Middle School
  (3!+0!+0)^2 Amanda G. 6 Parker Middle School
  (3+0!)!x2+0! Jen Herrmann 6 Johnson Middle School
  (3+0!)!*2+0! Jordan Heymann 8 Mount Olive Middle School
  (3+0!)!x2+0! Ong Zhen Iang 9 The Chinese High School
  (3!+0!)^2 + 0 Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  (3!+0!)^2-0 Sheldon Leong 9 The Chinese High School
  (3!+0!)^2+0 Ronald Lim 9 The Chinese High School
  (3! + 0!)^2 + 0 Tan Kian Loong Melvin 9 The Chinese High School (Singapore)
  (3!+0!)^2*0! Oszkár Mihály 10 SZTE Ságvári Endre Gyakorló Gimn.
  2((3 + 0!)!) + 0! Tok Wei Min 7 The Chinese High School
  (3+0!)!*2+0! Kevin O'Connell 8 Mount Olive Middle School
  (3+0!)!*2+0! Elena Paskoska 8 Mount Olive Middle School
  (3! + 0!)^2 + 0 Koh Chao Rong 9 The Chinese High School
  (3+0!)!*2+0! Christopher Seah 8 The Chinese High School, Singapore
  [(3+0!)!]x2+0! Bridget Sheppard 6 Johnson Middle School
  (3!+0!)^2+0 Lim Ming Swin 9 The Chinese High School
  (3!+0!+0)^2 John Woo 9 The Chinese High School
  (3!+0!)^2+0 Low Wen Xi 9 The Chinese High School
  (3!+0!)^2+0 Sin Yong 9 The Chinese High School
  (3!+0!)^2+0 Cai Yufeng 2 The Chinese High School
  (3+0!)!*2+0! Ong Yan Zhi 9 The Chinese High School
  (0!+3)!X2+0! Henry 6 Pocahontas Middle School
         
50        
  30+20 DobÛ Andr·s 9 S·gv·ri Endre Secondary School
  30+20 Frank Ashby 6 Pocahontas Middle School
  30+20 Eric Barton 6 Oak Knoll Middle School
  20+30 Christoph Bergemann 12 Christianeum
  30+20 Dary Berke 12 Model Secondary School for the Deaf
  20+30 Tyarah Best 8 Mount Olive Middle School
  30+20 Kelsey Bing 6 Pocahontas Middle School
  20+30 Spencer Bonnevie 6 Pocahontas Middle School
  30+20 Nick Brown 6 Oak Knoll Middle School
  30+20 Aaron B 6 Oak Knoll Middle School
  20+30 Sylvia B 6 Parker Middle School
  30+20 Dale Chang 6 Oak Knoll Middle School
  20 + 30 Ashli Charette 8 Mount Olive Middle School
  20+30 Lionel Chen 8 The Chinese High School
  30+20 Jacob Combee 6 Oak Knoll Middle School
  30+20 Caitlin Conahan 8 Mount Olive Middle School
  20+30 Michael Crawley 6 Pocahontas Middle School
  30+20 Melissa de Nijs 6 Pocahontas Middle School
  30+20 Uroö Droftina 10 Gimnazija Beûigrad, Slovenia
  (3!+0!)^2+0! Sara Duvall 6 Pocahontas Middle School
  20+30 Dean Eliades 6 Pocahontas Middle School
  20+30 Nah Yu En 7 The Chinese High School
  20+30 Nicole Feldman 8 Mount Olive Middle School
  20+30 Michelle Foley 6 Pocahontas Middle School
  30+20 Blake Forlines 6 Pocahontas Middle School
  30+20 Crystal F. 6 Parker Middle School
  20+30
(0^3)!/.02
sqrt((.02)^(0!-3))
Lisa Gardner 7 Lincoln Middle School
  30+20 Rebecca George 6 Pocahontas Middle School
  30+20 Joseph Green 6 Oak Knoll Middle School
  30+20 Franky Gydo 6 Pocahontas Middle School
  30+20 Amanda G. 6 Parker Middle School
  30+20 Jennifer Harrell 6 Pocahontas Middle School
  30+20 Jessica Herbert 6 Pocahontas Middle School
  20+30 Jen Herrmann 6 Johnson Middle School
  30+20 Laura Huxtable 6 Pocahontas Middle School
  (3!+0!)^2+0! Lauren H 6 Pocahontas Middle School
  30+20 Vicente H 9 Indio High School
  (3!+0!)^2+0! Ong Zhen Iang 9 The Chinese High School
  30+20 Mirnes Imsirovic 8 Mount Olive Middle School
  30+20 Yip Kang 7 The Chinese High School
  30+20 Peter Katsaros 6 Johnson Middle School
  30 + 20 Low Ing Cher Kenneth 9 The Chinese High School, Singapore
  30+20 Trey Kern 6 Pocahontas Middle School
  20+30 Yasmin Khataybeh 6 Pocahontas Middle School
  (3!+0!)^2+0! Sheldon Leong 9 The Chinese High School
  20+30 Ronald Lim 9 The Chinese High School
  30+20 Tan Teck Leng Llywelyn 3 The Chinese High School
  30+20 Kirby Lorenzen 6 Pocahontas Middle School
  30+20 Lindsay Martin 6 Pocahontas Middle School
  30+20 Lauren McDaniel 6 Pocahontas Middle School
  30+20 Ariel McMillan 6 Pocahontas Middle Shcool
  30 + 20 Tan Kian Loong Melvin 9 The Chinese High School (Singapore)
  (3!+0!)^2+0! Oszkár Mihály 10 SZTE Ságvári Endre Gyakorló Gimn.
  20 + 30 Tok Wei Min 7 The Chinese High School
  30+20 Heather Morrow 11 Brookstone
  20+30 Katherine Nelson 6 Pocahontas Middle School
  30+20 Matt Ogden 7 Dover Middle School
  20+30 Beth Olberding 6 Pocahontas Middle School
  20+30 Elena Paskoska 8 Mount Olive Middle School
  30+20 Andrew Peaden 6 Pocahontas Middle School
  30+20 David Polson 6 Oak Knoll Middle School
  20+30 Alex Ramirez 6 Pocahontas Middle School
  (3! + 0!)^2 + 0! Koh Chao Rong 9 The Chinese High School
  20+30 Gautham R. 6 Pocahontas Middle School
  20+ 30 Zach Schwab 6 Pocahontas Middle School
  (3!+0!)^2+0! Christopher Seah 8 The Chinese High School, Singapore
  20+30 Chew Chin Seng 7 The Chinese High School
  20+30 Ivan Lim Yi Sheng 9 The Chinese High School
  20+30 Bridget Sheppard 6 Johnson Middle School
  30+20 Jennifer A. Stephens-Sheard 8 Mount Olive Middle School
  20 + 30 Keith Sullivan 12 Saint Malachy's Memorial High School
  20+30 Lim Ming Swin 9 The Chinese High School
  30+20 Jay S 11 C. H. McCann Technical School
  30+20 Lincoln Tan 7 The Chinese High School
  20+30 Rachel Thomas 6 Pocahontas Middle School
  20 + 30 Kelsey Tomblin 9 Brookstone
  30+20 Jessica T 6 Pocahontas Middle School
  20+30
(0!+3!)^2+0!
Robert Velez 9 JATE Sagvari Endre Gyakorlo Gimnazium
  30+20 Low Wen Xi 9 The Chinese High School
  30+20 Sin Yong 9 The Chinese High School
  30+20 Cai Yufeng 2 The Chinese High School
  20+30 Ong Yan Zhi 9 The Chinese High School
  20+30 Anastasia Zhuravlyova 8 Mount Olive Middle School
  30+20 Ashley 6 Oak Knoll Middle School
  20+30 Charlotte 1 Pocahontas Middle School
  30+20 Kayla 7 South Middle School
  30+20 Sreeranjani 12 Atomic Energy Hr. Secondary School
  30+20 Tadeja 4 Gimnazija Beûigrad (Slovenia)
  20+30 Tommy Folliard and Parker Tuck 6 Pocahontas Middle School
         

Solutions 1 to 10 Solutions 11 to 20 Solutions 21 to 30
Solutions 31 to 40 Solutions 51 to 60 Solutions 61 to 70
Solutions 71 to 80 Solutions 81 to 90 Solutions 91 to 100
Please notify judyann@ptdprolog.net of any errors.