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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, 2005.
Rules: use the digits in the year 2005 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.
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| Solution | Name | Grade | School |
| 20÷5+0 | Chua Cheng Aik | 7 | Hwa Chong Institution |
| 5-2+0!+0 | Simon Alger | 10 | Cannons Creek |
| 2/.5+0+0 | JP Allport | 7 | RSM Intermediate |
| 5-2+0!+0 | Asya Ashour | 7 | Mount Olive Middle School |
| 20/5+0 | Jonathan Bailey | 6 | Johnson Middle School |
| 5-2+0^0 | Andrew Bodin | 6 | Johnson Middle School |
| 5-2+0!+0 | Leah Bombardier | 11 | McCann Technical High School |
| 5-2+0^0 | Jordan Boston | 6 | Floyd Middle Magnet School |
| 5-2+0!+0 | Amanda Boyer | 7 | Mount Olive Middle School |
| 20/5+0 | Kate B | 6 | Parker Middle School |
| 5-2-0+0! | Seth Cable | 11 | McCann Technical High School |
| 5-2+0^0 | Amanda Carney | 6 | Johnson Middle School |
| 20/5+0 | Michael Cho | 7 | Wilson Middle School |
| (5-0!)-0x2 | Yen T Chu | 8 | Pui Ching Middle School |
| 5+0-2^0 | Casey Ciechanowski | 6 | Johnson Middle School |
| 20/5+0 | Bryan Clark | 11 | McCann Technical High School |
| 5-2^0+0 | Julia Connell | 6 | Johnson Middle School |
| 5-(2+0)+0! | John Coville | 6 | Johnson Middle School |
| 20/(5+0) | Khu Boon Tat Daren | 7 | Hwa Chong Institution |
| 5-2+0+0! | Noah de Leeuw | 5 | John Stanford International School; Seattle WA |
| (-2^0)+(0+5) | Nick Deshpande | 12 | John F. Ross CVI |
| (2/.5)+(0-0) | Shannon Donohue | 7 | Rohrer Middle School |
| 0x2+5-0! | Andrew Dupras | 8 | Dartmouth Middle School |
| 5-2^0+0 | Andy Ellis | 6 | Johnson Middle School |
| 5-2+0!+0 | Kristin Euchler | 7 | Clarksburg Elementary School |
| 20/5+0 | Ryan Ford | 6 | Johnson Middle School |
| 20/5+0 | Aubry Frost | 11 | Charles H. McCann Technical High School |
| 2+0!+0!^5 | Lisa Gardner | 9 | Buchholz High School |
| (5-2)+0+0! | Nikai Gibson | 7 | Mount Olive Middle School |
| 5-2+0!+0 | Jimmy Gillon | 6 | Johnson Middle School |
| 20/5+0 | Mike G. | 6 | Johnson Middle School |
| 5-2^0+0 | Taylor G | 6 | Johnson Middle School |
| 5-2+0^0 | Willem Hardeski | 7 | Roher Middle School |
| 5-2^0+0 | Savannah Harik | 6 | Johnson Middle School |
| 5+0!-2+0 | Autumn Harnish | 8 | Mount Olive Middle School |
| 20/5+0 | Taylor Harper | 7 | Rohrer Middle School |
| 20/5-0 | Hannah Harry | 7 | The Gordon School |
| (20)/5+0 | Ryan Heady | 7 | Williamstown Middle School |
| 5+0-2^0 | Victoria Hebner | 6 | Johnson Middle School |
| 0+20/5 | David Heming | 11 | McCann Technical High School |
| 20/5-0 | Kate Hern | 6 | Johnson Middle School |
| 5-2^0+0 | Smantha Higareda | 7 | Rohrer Middle School |
| 20÷5+0 | Lim Kah Hong | 8 | Hwachong Institution |
| (5-2)+(0^0) | Alaron Hubbert | 6 | Floyd Middle Magent |
| 5-2+(0+0!) | Lau Wei Jie Jonathan | 7 | Hwa Chong Institution |
| 20/5+0 | Denielle Knysh | 11 | Charles H. McCann Technical High School |
| 20/5 +0 | K Kornet | 8 | St. Anne Sarnia, Canada |
| 5-2^0+0 | Julia K. | 6 | Johnson Middle School |
| 20/5-0 | S Lange | 8 | St.Anne Sarnia Canada |
| 5-2+0!-0 | Adam Lemaire | 11 | McCann Technical High School |
| 5-2^0+0 | Jocelyn Lydon | 6 | Johnson Middle School |
| 5-2+0!-0 | Chris Mahar | 11 | McCann Technical High School |
| 5-(2^0+0) | Tim Markatos | 6 | Johnson Middle School |
| 5-2+0^0 | Devin McKenney | 6 | Floyd Middle Magnet |
| 5+0!-2+0 | Sarah Miller | 8 | Mount Olive Middle School |
| 5-2+0^0 | Margaret Mohrenweiser | 9 | West Milford High School |
| 5+0-2^0 | Nicole Monahan | 6 | Johnson Middle School |
| 0^0+5-2 | Mark M. | 6 | Parker Middle School |
| 20/5+0 | Colby Nadeau | 6 | Johnson Middle School |
| (20/5)+0 | Kanako Nakagawa | 5 | Canadian Academy Japan, Kobe |
| 5-(2-0!)+0 | Nick Naraghi | 7 | Mount Olive Middle School |
| 5-2+0!+0 | Michelle Nunez | 11 | McCann Technical High School |
| (2x0)+(5-0!) | Daniel Nussbaum | 8 | Mount Olive Middle School |
| 5-2^0+0 | Erin N. | 6 | Johnson Middle School |
| 20/5+0 | Sam O'Brien | 6 | Johnson Middle School |
| 5-[(2x0)^0] | Josefina Peralta | 9 | Upper Darby High School |
| 5-2+0^0 | Carla Poles | 8 | Mount Olive Middle School |
| 20/5+0 | Ryan Porrechon | 7 | Rohrer Middle School |
| 20/5+0 | Calvin Pratt | 6 | Johnson Middle school |
| 5-2^0+0 | Rob Prindall | 6 | Johnson Middle School |
| 20/5+0 | Zack P | 11 | McCann Technical High School |
| 5-2+0!+0 | Abhimanyu Ramachandran | 7 | Mount Olive Middle School |
| 5-2+0!+0 | Brian Reardon | 11 | McCann Technical High School |
| 20\5+0 | Amanda Reilly | 6 | Johnson Middle School |
| 5-0!-(0*2) | Emily Rochotte | 7 | Mount Olive Middle School |
| 5-0-2^0 | Chris Rotella | 7 | WMS |
| 20/5+0 | Tom Ryan | 6 | Johnson Middle School |
| 5-2^0+0 | Brendan R | 6 | Johnson Middle School |
| 5-0!+2*0 | Chris Salls | 8 | Mendive |
| (20/5)+0 | Cameron Saunders | 9 | Brookstone |
| 20/5+0 | Brielle Scarano | 8 | Mount Olive Middle School |
| 2x0+5-0! | Dave Senecal | 11 | McCann Technical High School |
| (5-2)+0^0 | Sean Shakespeare | 6 | Johnson Middle School |
| (5-2^0)-0 | Dylan Shaw | 6 | Johnson Middle School |
| 20/5+0 | Kyle Snell | 8 | Mount Olive Middle School |
| 5-2^0+0 | Shannon Songin | 6 | Johnson Middle School |
| 20/5+0 | Ryland Stevens | 6 | Johnson Middle School |
| 5-2+0!+0 | Courtney S. | 6 | Johnson Middle School |
| 5-2+0^0 | Dallas Tipton | 6 | Floyd Middle Magnet School |
| 20/5+0 | Diana Tizcareno | 9 | Coachella Valley High School |
| 5-2+0!+0 | Arel Torres | 8 | Mount Olive Middle School |
| 5+0-2^0 | Carolyn Tracey | 6 | Johnson Middle School |
| 5-2+0^0 | Amanda Von Lindern | 8 | Mount Olive Middle School |
| 5-2+0^0 | Cody Wagner | 8 | Mount Olive Middle School |
| 20/5+0 | Vanessa Walsh | 6 | Johnson Middle School |
| (0^0)+5-2 | Richrad Welenc | 7 | Rms Middle School |
| 20/5-0 | Brittney Wheeler | 11 | McCann Technical High School |
| 5-2^0-0
5-2+0!-0 |
David Wians | 6 | Johnson Middle School |
| 5-2-0+0! | Justin Wu | 5 | Underwood School, Newton, MA |
| 5-2+0!-0 | Jin X | 5 | Germantown Academy |
| 2x0+5-0! | Lewis Won Cheng Yi | 7 | Hwa Chong Institution |
| (5-2)+(0!+0) | Allie Z. | 5 | Germantown Academy |
| 20/5+0 | Ashley | 8 | Ahern Middle School |
| 5-2+0!+0 | Bella | 8 | Mount Olive Middle School |
| 5-2^0+0 | Caroline | 6 | Johnson Middle School |
| 5-2+0^0 | Christina | 6 | Johnson Middle School |
| 5-2^0+0 | Dylan | 6 | Johnson Middle School |
| 5-2+0^0 | Jakob | 7 | Rohrer Middle School |
| 5-2+0!+0 | Joe | 11 | McCann Technical High School |
| 5-2+0^0 | Kaitlin | 8 | Mount Olive Middle School |
| 5-2+0+0! | Kara | 11 | McCann Technical High School |
| 20/5+0 | Kevin | 11 | McCann Technical High School |
| 5-2+0^0 | Lauren | 6 | Johnson Middle School |
| 20/5+0 | Liz | 6 | Johnson Middle School |
| 5-2^0+0 | Mollie | 6 | Johnson Middle School |
| 20/5+0 | Stephanie | 8 | Ahern Middle School |
| 5+0!-2+0 | Dan Alexander, Mike Kelly, Zoby Boghani, James Richard | 8 | Mount Olive Middle School |
| 5-2+0!+0 | Lindsey Connor & Amy Czaudet | 8 | Murdock Middle High School |
| 20/5-0 | Jagjot Pataria, Krista D'Onofrio, Matthew Mari | 7 | St. Bernadette, Brooklyn, NY |
| (sqrt25)-0^0
5(2-0!)-0! |
Katie Weber and Kristne Leccacorvi | 10 | Arlington High School |
| 5-2^0+0 | Coutney, Stefano, and Frank | 7 | St. Bernadette in Brooklyn NY |
Please notify Judy Ann Brown of any errors.
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