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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 |
| 5+2-0!+0 | Simon Alger | 10 | Cannons Creek |
| 5+2^0+0 | Mike Allen | 8 | Murdock Middle High School |
| 2^0+5+0 | Asya Ashour | 7 | Mount Olive 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 | Amanda Boyer | 7 | Mount Olive Middle School |
| 5+2^0+0 | Esther Braun | 5 | John Stanford International School; Seattle WA |
| 5+2-0^0 | Cody Brown | 6 | Johnson Middle School |
| 5+2^0+0 | Kate B | 6 | Parker Middle School |
| 5+2-0^0 | Amanda Carney | 6 | Johnson Middle School |
| 2*0+5+0! | Michael Cho | 7 | Wilson Middle School |
| 5+2-0^0 | Casey Ciechanowski | 6 | Johnson Middle 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 | John Coville | 6 | Johnson Middle School |
| 2^0+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 |
| (5!/20)+0 | Shannon Donohue | 7 | Rohrer Middle School |
| 5+0!+(0x2) | Andrew Dupras | 8 | Dartmouth Middle School |
| 5+2-0^0 | Alex D. | 6 | Johnson Middle School |
| 5+2^0+0 | Andy Ellis | 6 | Johnson Middle School |
| 5-0!-0+2 | Justin Ellis | 6 | Johnson Middle School |
| 2*0+5+0! | Kristin Euchler | 7 | Clarksburg Elementary School |
| 20^0+5 | 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 |
| 5-0!+2-0 | 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 |
| 2^0+5+0 | Taylor G | 6 | Johnson Middle School |
| 5+2^0+0 | Victoria Hebner | 6 | Johnson Middle School |
| (5-2)!+0+0 | Lim Kah Hong | 8 | Hwachong Institution |
| 2+5-0^0 | Liz Jelloe | 6 | Johnson Middle School |
| 5!/20+0 | Lau Wei Jie Jonathan | 7 | Hwa Chong Institution |
| (5-2)(0!+0!) | Katherine Keener | 7 | Northwood Middle School |
| 2+5-0! +0 | K Kornet | 8 | St. Anne Sarnia, Canada |
| 5+2^0+0 | Julia K. | 6 | Johnson Middle School |
| 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 | Kaitlin Lyerly | 6 | Floyd Middle Magnet |
| 5+2-0!-0 | Chris Mahar | 11 | McCann Technical High School |
| 5+2-0!+0 | Sarah Miller | 8 | Mount Olive Middle School |
| 2+5-0^0 | Margaret Mohrenweiser | 9 | West Milford High School |
| 2^0+5+0 | Nicole Monahan | 6 | Johnson Middle School |
| 0!+5+(2*0) | Emily Moore | 7 | Rohrer Middle School |
| 0+(2^0)+5 | Mark M. | 6 | Parker Middle School |
| 2^0+5+0 | Colby Nadeau | 6 | Johnson Middle School |
| 5+2-0!-0 | Michelle Nunez | 11 | McCann Technical High School |
| (0x2)+5+0! | Daniel Nussbaum | 8 | Mount Olive Middle School |
| 5+2-0^0 | Erin N. | 6 | Johnson Middle School |
| 5+0+2^0 | Sam O'Brien | 6 | Johnson Middle School |
| 5+[(2x0)^0] | Josefina Peralta | 9 | Upper Darby High School |
| 2^0+5+0 | Calvin Pratt | 6 | Johnson Middle School |
| 5+2^0+0 | Rob Prindall | 6 | Johnson Middle School |
| 2x0+5+0! | Zack P | 11 | McCann Technical High School |
| 5-0!+2+0 | Abhimanyu Ramachandran | 7 | Mount Olive Middle School |
| 5+0!+0*2 | Brian Reardon | 11 | McCann Technical High School |
| 2+5-0^0 | Amanda Reilly | 6 | Johnson Middle School |
| 5+0+2^0 | Chris Rotella | 7 | WMS |
| 2^0+5+0 | Tom Ryan | 6 | Johnson Middle School |
| 5+2-0^0 | Chris Salls | 8 | Mendive |
| 2^0+5+0
5+2-0!+0 |
Troy Salvatore | 6 | Johnson Middle School |
| 2x0+5+0! | Dave Senecal | 11 | McCann Technical High School |
| (5+2)-0!-0 | Dylan Shaw | 6 | Johnson Middle School |
| 5+2-0^0 | Shannon Songin | 6 | Johnson Middle School |
| 5+2-0!+0 | Ryland Stevens | 6 | Johnson Middle School |
| 5+(2-0!)+0 | Courtney S. | 6 | Johnson Middle School |
| 5+2-0!+0 | Arel Torres | 8 | Mount Olive Middle School |
| 5+2-0^0 | Carolyn Tracey | 6 | Johnson Middle School |
| 2^0+5+0 | Samantha Vidal | 8 | Mount Olive Middle School |
| (5-2)*(0!+0!) | Amanda Von Lindern | 8 | Mount Olive Middle School |
| 5+0+2^0 | Vanessa Walsh | 6 | Johnson Middle School |
| 5+2-0^0 | David Wians | 6 | Johnson Middle School |
| 5+2-0!+0 | Sean Wilson | 6 | Johnson Middle School |
| 5+2-0^0 | CJ Wood | 6 | Johnson Middle School |
| (5-2)!+0+0 | Thomas Woodward | 11 | Brookstone School |
| 5!÷20+0 | Lim Jing Xi | 7 | Hwa Chong Institution |
| 2x0+5+0! | Lewis Won Cheng Yi | 7 | Hwa Chong Institution |
| 5+2-0!+0 | Bella | 8 | Mount Olive Middle School |
| (2x0)+5+0! | Carissa | 11 | McCann Technical High School |
| 5-0^0+2 | Christina | 6 | Johnson Middle School |
| 5+0!+(2*0) | Darlene | 11 | McCann Technical High School |
| (2*0)+5+0! | Dylan | 6 | Johnson Middle School |
| 2^0+0+5 | JR | 7 | St. Bernadette School, Brooklyn, New York |
| 5+2-0^0 | Kaitlin | 8 | Mount Olive Middle School |
| 0*2+0!+5 | Kara | 11 | McCann Technical High School |
| 5!/20-0 | Kevin | 11 | McCann Technical High School |
| 5^0!+2-0! | Kelsey | 11 | McCann Technical High School |
| 2+5-0!-0 | Lauren | 6 | Elenor N. Johnson Middle School |
| 5!/20+0 | Michael | 8 | Roland Park Middle School |
| 5+2^0+0 | Mollie | 6 | Johnson Middle School |
| 5+2^0+0 | Savannah | 6 | Johnson Middle School |
| 2^0+5+0 | Shannon | 8 | Ahern Middle School |
| 2*0+5+0! | Stephanie | 8 | Ahern Middle School |
| 2x0+0!+5 | Dan Alexander, Mike Kelly, Zoby Boghani, James Richard | 8 | Mount Olive Middle School |
| 2^0+5+0 | Aliesha Fink, Basia Godecki | 8 | Mount Olive Middle School |
| 5+2^0+0 | Jenna MacLellan and Emily Falvey | 6 | Johnson Middle School |
| (sqrt25)+0^0 | Katie Weber and Kristne Leccacorvi | 9 | Arlington High School |
Please notify Judy Ann Brown of any errors.
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