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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 |
| 2!+5+0+0 | Chua Cheng Aik | 7 | Hwa Chong Institution |
| 5+2+0+0 | Simon Alger | 10 | Cannons Creek |
| 5+0+0+2 | Carolina Aranda | 8 | Mount Olive Middle School |
| 2+5+0+0 | Asya Ashour | 7 | Mount Olive Middle School |
| 5.0+2.0 | Jonathan Bailey | 6 | Johnson Middle School |
| 2+5+0+0 | Zach Bannon | 6 | JMS |
| 5+2+0+0 | Jacqui Bergholtz | 7 | Williamstown Middle School |
| (2+0)-0+5 | Tenia Bey | 1 | Forest Street School |
| 2+5+0+0 | Christine Bloom | 8 | Mount Olive Middle School |
| 0+(5+2)-0 | Andrew Bodin | 6 | Johnson Middle School |
| (2+0)-0+5 | Leah Bombardier | 11 | McCann Technical High School |
| 2+0+0+5 | Jordan Boston | 6 | Floyd Middle Magnet School |
| 5+2+0+0 | Esther Braun | 5 | John Stanford International School; Seattle WA |
| 5+2+0+0 | Cody Brown | 6 | Johnson Middle School |
| 2+0+0+5 | Kate B | 6 | Parker Middle School |
| 5+2+0+0 | Seth Cable | 11 | McCann Technical High School |
| 2!+5+0+0 | Chris Carley | 6 | Johnson Middle School |
| 5+2+0+0 | Amanda Carney | 6 | Johnson Middle School |
| 2+5+0+0 | Michael Cho | 7 | Wilson Middle School |
| 5+2+0-0 | Casey Ciechanowski | 6 | Johnson Middle School |
| (2+0)-0+5 | Bryan Clark | 11 | McCann Technical High School |
| 5+2+0+0 | Julia Connell | 6 | Johnson Middle School |
| 5+2-0-0 | Sarah Connolly | 6 | Johnson Middle School |
| 5+2+0+0 | Charlie Costanzo | 7 | Broadview Middle School |
| 5+2+0+0 | John Coville | 6 | Johnson Middle School |
| 2!+0+0+5 | Khu Boon Tat Daren | 7 | Hwa Chong Institution |
| 5+2-0+0 | Noah de Leeuw | 5 | John Stanford International School; Seattle WA |
| 5+0+2+0 | Johanne De Silva | 6 | Candian Academy, Kobe |
| 2+0+0+5 | Nick Deshpande | 12 | John F. Ross CVI |
| 2+5+0+0 | Sabrina Dorronsoro | 6 | Johnson Middle School |
| 5+2-(0+0) | Andrew Dupras | 8 | Dartmouth Middle School |
| 5+2+0+0 | Alex D. | 6 | Johnson Middle School |
| 2+5+0+0 | Ryan Easterday | 7 | Rohrer Middle School |
| 5+2+0+0 | Andy Ellis | 6 | Johnson Middle School |
| 5+2-0+0 | Justin Ellis | 6 | Johnson Middle School |
| 2+5+0+0 | Kristin Euchler | 7 | Clarksburg Elementary School |
| 2+5-(0+0) | Lim Yu Sheng Fabian | 7 | Hwa Chong Institution |
| 5+2+0+0 | Ryan Ford | 6 | Johnson Middle 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 |
| 5+2+0+0 | Trevor Girard | 11 | McCann Technical High School |
| 5+2+0+0 | Caroline G. | 6 | Johnson Middle School |
| 5+2+0+0 | Mike G. | 6 | Johnson Middle School |
| 2+5+0+0 | Taylor G | 6 | Johnson Middle School |
| 5+2+0-0 | Willem Hardeski | 7 | Roher Middle School |
| 5+0+0+2 | Autumn Harnish | 8 | Mount Olive Middle School |
| 5+2+0+0 | Taylor Harper | 7 | Rohrer Middle School |
| 5+2+0+0 | Hannah Harry | 7 | The Gordon School |
| 5+2+0+0 | Victoria Hebner | 6 | Johnson Middle School |
| 2+5+0+0 | Kate Hern | 6 | Johnson Middle School |
| 5+2+0+0 | Lim Kah Hong | 8 | Hwachong Institution |
| 5+2+0+0 | Alaron Hubbert | 6 | Floyd Middle Magent |
| 0+0+5+2 | Liz Jelloe | 6 | Johnson Middle School |
| 2+0+0+5 | Lau Wei Jie Jonathan | 7 | Hwa Chong Institution |
| 5+2+0+0 | Katherine Keener | 7 | Northwood Middle School |
| 2+0+0+5 | Denielle Knysh | 11 | Charles H. McCann Technical High School |
| 2+5-0-0 | K Kornet | 8 | St. Anne Sarnia, Canada |
| 5+0^0x2 | Julia K. | 6 | Johnson Middle School |
| sqrt25+0!+0! | Lawrence Lamisere | 5 | Underwood School |
| 2+0+5+0 | Alexander Lee | 6 | Johnson Middle School |
| 5+2+0+0 | Thomas Lee | 6 | Johnson Middle School |
| 5+2+0+0 | Adam Lemaire | 11 | McCann Technical High School |
| (5+2)+0-0 | Kaitlin Lyerly | 6 | Floyd Middle Magnet |
| 5+0+2+0 | Chris Mahar | 11 | McCann Technical High School |
| sqrt25+0!+0! | Tim Markatos | 6 | Johnson Middle School |
| 2+0+0+5 | Devin McKenney | 6 | Floyd Middle Magnet |
| 5+2+0+0 | Sarah Miller | 8 | Mount Olive Middle School |
| 2!+0+0+5 | Margaret Mohrenweiser | 9 | West Milford High School |
| 2.0+5.0 | John Montagno | 6 | Johnson Middle School |
| 5+2+0+0 | Kyle Musco | 6 | Johnson Middle School |
| 2+0+0+5 | Mark M. | 6 | Parker Middle School |
| 2+5+(0*0) | Colby Nadeau | 6 | Johnson Middle School |
| (5+2)+0+0 | Kanako Nakagawa | 5 | Canadian Academy Japan, Kobe |
| 5+2+0+0 | Michelle Nunez | 11 | McCann Technical High School |
| 5+2+0!-0! | Daniel Nussbaum | 8 | Mount Olive Middle School |
| 5+2+0+0 | Erin N. | 6 | Johnson Middle School |
| 5+2+0+0 | Sara Ouimet | 8 | Mount Olive Middle School |
| 0+0+5+2 | Manan Patel | 7 | Mount Olive Middle School |
| 5+2+0+0 | Josefina Peralta | 9 | Upper Darby High School |
| 5+2+0+0 | Calvin Pratt | 6 | Johnson Middle School |
| 2+5+0-0 | Shannon Prendergast | 6 | Johnson Middle School |
| 2+5+0+0 | Rob Prindall | 6 | Johnson Middle School |
| 5+2-0+0 | Zack P | 11 | McCann Technical High School |
| 5+2-0+0 | Viktoras Raklevicius | 6 | Floyd Middle Magnet School |
| 5+2-0-0 | Abhimanyu Ramachandran | 7 | Mount Olive Middle School |
| 2+5+0+0 | Amanda Reilly | 6 | Johnson Middle School |
| 0+0+2+5 | Shawn Reynolds | 7 | Williamstown Middle School |
| 5+2+0+0 | Chris Rotella | 7 | WMS |
| 5+2+0+0 | Tom Ryan | 6 | Johnson Middle School |
| 5+2+0+0 | Brendan R | 6 | Johnson Middle School |
| 5+2-0*0 | Chris Salls | 8 | Mendive |
| 5+2+0!-0! | Troy Salvatore | 6 | Johnson Middle School |
| 5+2+0+0 | Cameron Saunders | 9 | Brookstone |
| 5+2+0+0 | Shreye Saxena | 6 | Mount Olive Middle School |
| 2-0+0+5 | Dave Senecal | 11 | McCann Technical High School |
| (5+2)-(0+0) | Dylan Shaw | 6 | Johnson Middle School |
| 0+0+(5+2) | Sean Shakespeare | 6 | Johnson Middle School |
| 2+0+0+5 | Kyle Snell | 8 | Mount Olive Middle School |
| 5+2+0+0 | Shannon Songin | 6 | Johnson Middle School |
| (2+0+0+5) | Andrea Sotosainz | 9 | Coachella Valley High School |
| 2+5+0+0 | Ryland Stevens | 6 | Johnson Middle School |
| 5+2+0+0 | Courtney S. | 6 | Johnson Middle School |
| (2+0)+5+0 | Diana Tizcareno | 9 | Coachella Valley High School |
| 5+2-0-0 | Arel Torres | 8 | Mount Olive Middle School |
| 5+2+0+0 | Carolyn Tracey | 6 | Johnson Middle School |
| 5+2+0+0 | Phillyus Van Blozen | 7 | Rohrer Middle School |
| 2!+5+0+0 | Samantha Vidal | 8 | Mount Olive Middle School |
| 5+2+0+0 | Amanda Von Lindern | 8 | Mount Olive Middle School |
| 2+0+0+5 | Tony Walner | 6 | Lab |
| 5+2+0+0 | Vanessa Walsh | 6 | Johnson Middle School |
| 2+0+0+5 | Richard Welenc | 7 | Rms Middle School |
| 5+0+0+2 | Brittney Wheeler | 11 | McCann Technical High Scool |
| 5+2-0-0 | David Wians | 6 | Jonshon Middle |
| 5.0+2.0 | Sean Wilson | 6 | Johnson Middle School |
| 5+2+0+0 | Tyler Windham | 9 | Brookstone |
| 2+5+0-0 | CJ Wood | 6 | Johnson Middle School |
| 2+0+0+5 | Jerrold Au Ying Xian | 7 | Hwa Chong Institution |
| 5+2-0-0
0!-0!+5+2! 02+05 |
Lewis Won Cheng Yi | 7 | Hwa Chong Institutation |
| (2+0)-0+5 | Allie Z. | 5 | Germantown Academy |
| 2+0+0+5 | Carissa | 11 | McCann Technical High School |
| 5+2+0-0 | Christina | 6 | Johnson Middle School |
| 5+2+0+0 | Darlene | 11 | McCann Technical High School |
| 5+2+0+0 | Dylan | 6 | Johnson Middle School |
| 5+2+0+0 | Joe | 11 | McCann Technical High School |
| 2+0+0+5 | Jonathan | 8 | St. Bernadette, Brooklyn, Ny |
| 2+5+0+0 | JR | 7 | St. Bernadette School, Brooklyn, New York |
| 5+2+0+0 | Kaitlin | 8 | Mount Olive Middle School |
| 5+0+0+2 | Kara | 11 | McCann Technical High School |
| 2+0-0+5 | Kellie | 5 | Germantown Academy |
| 2+0+0+5 | Kelsey | 11 | McCann Technical High School |
| 5+2-0-0 | Kevin | 11 | McCann Technical High School |
| 5+2+0-0 | Lauren | 6 | Johnson Middle School |
| 2+0+0+5 | Lo | 9 | Oxnard High School |
| 2+0+0+5 | Mandy | 8 | St. Bernadette, Brooklyn, NY |
| 5+2+0+0 | Mollie | 6 | Johnson Middle School |
| 0+5+2+0 | Savannah | 6 | Johnson Middle School |
| 2+5+0+0 | Shannon | 8 | Ahern Middle School |
| 5+2+0+0 | Stephanie | 8 | Ahern Middle School |
| 5+0!+2-0! | Dan Alexander, Mike Kelly, Zoby Boghani, James Richard | 8 | Mount Olive Middle School |
| 0-0+2+5 | Jagjot Pataria, Krista D'Onofrio, Matthew Mari | 7 | St. Bernadette, Brooklyn, NY |
| 5+2+0+0 | Arionna, Dom, Bianca | 7 | St.Bernadette,Brooklyn,NY |
| 2+0+0+5 | Jessica, Marianna | 8 | St. Bernadette, Brooklyn, NY |
| 2+0+0+5 | Stephanie, Maria | 8 | St. Bernadette, Brooklyn, NY |
Please notify Judy Ann Brown of any errors.
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