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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 | Chua Cheng Aik | 7 | Hwa Chong Institution |
| 5-2+0+0 | Simon Alger | 10 | Cannons Creek |
| 5-2+0+0 | Carolina Aranda | 8 | Mount Olive Middle School |
| 5-2+0-0 | Chris Ashe | 6 | Johnson Middle School |
| 5-2+0+0 | Asya Ashour | 7 | Mount Olive Middle School |
| 5.0-2.0 | Jonathan Bailey | 6 | Johnson Middle School |
| 5-2+0+0 | Andrea Barry | 6 | Johnson Middle School |
| 5-2-0-0 | Steve Bednarczyk | 11 | McCann Technical High School |
| 5-2+0+0 | Leah Bombardier | 11 | McCann Technical High School |
| 5-2-0-0 | Esther Braun | 5 | John Stanford International School; Seattle WA |
| 5-2+0+0 | Kate B | 6 | Parker Middle School |
| 5-2-0!+0! | Amanda Boyer | 7 | Mount Olive Middle School |
| (5-2)+0*0 | Laura B. | 6 | Johnson Middle School |
| 5-2-0+0 | Seth Cable | 11 | McCann Technical High School |
| 5-2-0-0 | Amanda Carney | 6 | Johnson Middle School |
| 5^0^0+2 | Michael Cho | 7 | Wilson Middle School |
| 5^0+2+0 | Casey Ciechanowski | 6 | Johnson Middle School |
| 5+0-2+0 | Bryan Clark | 11 | McCann Technical High School |
| 5-2+0+0 | Charlie Costanzo | 7 | Broadview Middle School |
| 0+0+(5-2) | Kelly Collar | 7 | Mount Olive Middle School |
| 5-2-0-0 | Julia Connell | 6 | Johnson Middle School |
| 5-2+0+0 | John Coville | 6 | Johnson Middle School |
| 5-2+0+0 | Noah de Leeuw | 5 | John Stanford International School; Seattle WA |
| 5-2+0+0 | Richard Deblock | 8 | Mount Olive Middle School |
| (-2+0)+(0+5) | Nick Deshpande | 12 | John F. Ross CVI |
| 5-2+0+0 | Chuan Dewei | 7 | Hwa Chong Institution |
| (5-2)+0-0 | Shannon Donohue | 7 | Rohrer Middle School |
| 5-2+0+0 | Sabrina Dorronsoro | 6 | Johnson Middle School |
| 0!+2+(0x5) | 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 |
| 5-2+0+0 | Kristin Euchler | 7 | Clarksburg Elementary School |
| 0+5-2+0 | Lim Yu Sheng Fabian | 7 | Hwa Chong Institution |
| 2+0+5^0 | Ryan Ford | 6 | Johnson Middle School |
| 5-2+0+0 | Aubry Frost | 11 | 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 |
| 5-2+0+0 | Trevor Girard | 11 | McCann Technical High School |
| 5-2-0-0 | Mike G. | 6 | Johnson Middle School |
| 0+0+5-2 | 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 |
| 5-2+0+0 | Autumn Harnish | 8 | Mount Olive Middle School |
| 5-2+0-0 | Hannah Harry | 7 | The Gordon School |
| 5^0+2+0 | Victoria Hebner | 6 | Johnson Middle School |
| (0+0)+5-2 | David Heming | 11 | McCann Technical High School |
| 5.0-2.0 | 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 Magnet |
| 5-2+0+0 | Liz Jelloe | 6 | Johnson Middle School |
| 5-0-0-2 | Lau Wei Jie Jonathan | 7 | Hwa Chong Institution |
| 5-2+0+0 | Katherine Keener | 7 | Northwood Middle School |
| (5+0)-0-2 | Azar Khosrowshahi | 5 | Canadian Academy Kobe,Japan |
| 5+0+0-2 | Denielle Knysh | 11 | McCann Technical High School |
| .5x2+0!+0! | K Kornet | 8 | St. Anne Sarnia, Canada |
| 5-2-0-0 | Julia K. | 6 | Johnson Middle School |
| 5-2+0+0 | S Lange | 8 | St. Anne Sarnia Canada |
| 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 | Jocelyn Lydon | 6 | Johnson Middle School |
| 5-2+0-0 | Kaitlin Lyerly | 6 | Floyd Middle Magnet |
| 5+0+0-2 | Chris Mahar | 11 | McCann Technical High School |
| (0!*2)+5^0 | Tim Markatos | 6 | Johnson Middle School |
| 2+0!+(5*0) | Eric Marko | 11 | McCann Technical High School |
| (0!+0+5)÷2 | Jasmine McCurry | 6 | Floyd Middle Magnet |
| 5-2+0+0 | Devin McKenney | 6 | Floyd Middle Magnet |
| (0+0)+(5-2) | 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 |
| 5-2-0-0 | Kyle Musco | 6 | Johnson Middle School |
| 0+0+5-2 | Mark M. | 6 | Parker Middle School |
| 5-2+(0*0) | Colby Nadeau | 6 | Johnson Middle School |
| (5-2)+0+0 | Kanako Nakagawa | 5 | Canadian Academy Japan, Kobe |
| 5*0+2+0! | Nick Naraghi | 7 | Mount Olive Middle School |
| 5-2+0+0
2+5^0+0 |
Co Nguyen | 10 | Lindbergh High School |
| 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 |
| 2+0+5^0 | Sam O'Brien | 6 | Johnson Middle School |
| 5-2+0+0 | Sara Ouimet | 8 | Mount Olive Middle School |
| 5-2+0+0 | Dino Panopoulos | 6 | Johnson Middle School |
| (5-2)-(0-0) | Kaiwal Patel | 6 | Mount Olive Middle School |
| (2+0!)+5*0 | John Penrose | 8 | Murdock |
| 5-2+0+0 | Josefina Peralta | 9 | Upper Darby High School |
| 5-2-0-0 | Meaghan Petrosky | 6 | Johnson Middle School |
| (0!+2)+(0*5) | Carla Poles | 8 | Mount Olive Middle School |
| (5-2)+0!-0! | Ryan Porrechon | 7 | Rohrher Middle School |
| 2+50^0 | Calvin Pratt | 6 | Johnson Middle School |
| 5-2+0-0 | Shannon Prendergast | 6 | Johnson Middle School |
| 5-2+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 |
| 5-2+0+0 | Amanda Reilly | 6 | Johnson Middle School |
| 5*0+2+0! | Emily Rochotte | 7 | Mount Olive Middle School |
| 5-2+0+0 | Chris Rotella | 7 | WMS |
| 5-2+0+0 | Jessica Inez Rudolph | 6 | Floyd Middle Magnet School |
| 5-2+0+0 | Tom Ryan | 6 | Johnson Middle School |
| 5-2+0+0 | Brendan R | 6 | Johnson Middle School |
| 2+5^0+0 | Chris Salls | 8 | Mendive |
| 5+0!-2-0! | Troy Salvatore | 6 | Johnson Middle School |
| 5-2-(0+0) | Amber Santos | 7 | Rohrer Middle School |
| 5-2+0+0 | Cameron Saunders | 9 | Brookstone |
| 0x0+5-2 | Dave Senecal | 11 | McCann Technical High School |
| 5-2-(0+0) | Sean Shakespeare | 6 | Johnson Middle School |
| (5+0)+0-2 | Dylan Shaw | 6 | Johnson Middle School |
| 5+0-0-2 | Kyle Snell | 8 | Mount Olive Middle School |
| 5-2-0-0 | Shannon Songin | 6 | Johnson Middle School |
| (5-2+0+0) | Andrea Sotosainz | 9 | Coachella Valley High School |
| 5-2+0+0 | Corey St. John | 8 | Mount Olive Middle School |
| 5-2+0+0 | Devon S | 5 | Germantown Academy |
| 5-2+0+0 | Tess S. | 6 | Johnson Middle School |
| 5-2-0+0 | Courtney S. | 6 | Johnson Middle School |
| 5-2-0+0 | Katie Taylor | 7 | William G. Rohrer Middle School |
| 5-2+0+0 | Arel Torres | 8 | Mount Olive Middle School |
| 5^0+2+0 | Carolyn Tracey | 6 | Johnson Middle School |
| 5^0+0+2 | Samantha Vidal | 8 | Mount Olive Middle School |
| 5-2+0+0 | Amanda Von Lindern | 8 | Mount Olive Middle School |
| 5-2+0+0 | Ashiper Wagner | 8 | Mount Olive Middle School |
| 5-2+0+0 | Vanessa Walsh | 6 | Johnson Middle School |
| 5-2-0-0 | David Wians | 6 | Johnson Middle School |
| 5.0-2.0 | Sean Wilson | 6 | Johnson Middle School |
| 5-2+0+0 | Tyler Windham | 9 | Brookstone |
| 5-2-0-0 | Justin Wu | 5 | Underwood School, Newton, MA |
| 0-2+0+5 | Lim Jing Xi | 7 | Hwa Chong Institution |
| 0+0+(5-2) | Jin X | 5 | Germantown Academy |
| 5+0+0-2 | Lenny Ziarnik | 11 | McCann Technical High School |
| (5-2)+(0+0) | Allie Z. | 5 | Germantown Academy |
| 5-2-0-0 | Ashley | 8 | Ahern Middle School |
| 5-2+0+0 | Bella | 8 | Mount Olive Middle School |
| 5-2-0-0 | Benny | 8 | Ahern Middle School |
| (5-2)+0+0 | Carissa | 11 | McCann Technical High School |
| 5-2-0-0 | Caroline | 6 | Johnson Middle School |
| 5^0+2-0 | Christina | 6 | Johnson Middle School |
| 50^0+2 | Dylan | 6 | Johnson Middle School |
| 5-2+0+0 | Joe | 11 | McCann Technical High School |
| 5-2+0+0 | Kaitlin | 8 | Mount Olive Middle School |
| 5+0+0-2 | Kara | 11 | McCann Technical High School |
| 0+0+5-2 | Kelsey | 11 | McCann Tech. High School |
| 5-2+0+0 | Kevin | 11 | McCann Technical High School |
| 5-2+0+0 | Lauren | 6 | Johnson Middle School |
| 5-2-0-0 | Mandy | 8 | St Bernadette, Brooklyn, NY |
| 5-2+0+0 | Mollie | 6 | Johnson Middle School |
| 5-2-0-0 | Stephanie | 8 | Ahern Middle School |
| 5-2+0+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 |
| 5-2+0+0 | Aliesha Fink, Basia Godecki | 8 | Mount Olive Middle School |
| 5-2+0+0 | Jenna MacLellan and Emily Falvey | 6 | Johnson Middle School |
| 5-2(0^0) | Katie Weber and Kristne Leccacorvi | 10 | Arlington High School |
| 5^0+2+0 | Coutney, Stefano, and Frank | 7 | St. Bernadette in Brooklyn NY |
Please notify Judy Ann Brown of any errors.
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