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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 |
| 2+5-0!-0! | Asya Ashour | 7 | Mount Olive Middle School |
| 5+(2x0)+0 | Zach Bannon | 6 | JMS |
| 2x0+5+0 | Andrea Barry | 6 | Johnson Middle School |
| 20x0+5 | Andrew Bodin | 6 | Johnson Middle School |
| 2x0+5+0 | Leah Bombardier | 11 | McCann Technical High School |
| 20*0+5 | Jordan Boston | 6 | Floyd Middle Magnet School |
| 5+(20x0) | Esther Braun | 5 | John Stanford International School; Seattle WA |
| (0x2+0)+5 | 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 |
| 5+(2x0+0) | Scottie Carlson | 8 | Mount Olive Middle School |
| 2*0*0*+5 | Amanda Carney | 6 | Johnson Middle School |
| 2*0+0+5 | Michael Cho | 7 | Wilson Middle School |
| 5+(2x0)+0 | Casey Ciechanowski | 6 | Johnson Middle School |
| 2x0+5+0 | Bryan Clark | 11 | McCann Technical High School |
| 2x0x0+5 | Julia Connell | 6 | Johnson Middle School |
| 2x0x0+5 | Sarah Connolly | 6 | Johnson Middle School |
| sqrt25+0+0
5+0+(2*0) |
Khu Boon Tat Daren | 7 | Hwa Chong Institution |
| 5-2+0!+0! | Noah de Leeuw | 5 | John Stanford International School; Seattle WA |
| (2x0)+(5+0) | Nick Deshpande | 12 | John F. Ross CVI |
| (20*0)+5 | Shannon Donohue | 7 | Rohrer Middle School |
| 5+0+(0x2) | Andrew Dupras | 8 | Dartmouth Middle School |
| 0+2x0+5 | Alex D. | 6 | Johnson Middle School |
| 2x0x0+5 | Andy Ellis | 6 | Johnson Middle School |
| 5-2+0!+0! | Justin Ellis | 6 | Johnson Middle School |
| 2*0+5+0 | Kristin Euchler | 7 | Clarksburg Elementary School |
| 5+(2*0*0) | Lim Yu Sheng Fabian | 7 | Hwa Chong Institution |
| 2x0+5+0 | Ryan Ford | 6 | Johnson Middle School |
| 5+(2x0)+0 | Aubry Frost | 11 | Charles H. McCann Technical High School |
| 2x0+5+0 | Michaela F. | 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 |
| 2x0+5-0 | Lindsay Griffin | 6 | Johnson Middle School |
| 5+0+(2x0) | Caroline G. | 6 | Johnson Middle School |
| 2*0+0+5 | Taylor G | 6 | Johnson Middle School |
| 2*0+0+5 | Willem Hardeski | 7 | Roher Middle School |
| 2*0+5-0 | Jalisa Hardy | 6 | Floyd Middle Magnet School |
| 2x0+5+0 | Savannah Harik | 6 | Johnson Middle School |
| 5+0+(2x0) | Autumn Harnish | 8 | Mount Olive Middle School |
| 2+5-0!-0! | Hannah Harry | 7 | The Gordon School |
| 2x0+0+5 | Kate Hern | 6 | Johnson Middle School |
| 5+2x0+0 | Lim Kah Hong | 8 | Hwachong Institution |
| 0x2+0+5 | Liz Jelloe | 6 | Johnson Middle School |
| 5-2+(0!+0!) | Lau Wei Jie Jonathan | 7 | Hwa Chong Institution |
| (5+0)+(2*0) | Bobalu Jones | 7 | Rohrer Middle School |
| (2*0)+(5+0) | Katherine Keener | 7 | Northwood Middle School |
| [20/5]+0! | Tim King | 5 | Underwood School, Newton, MA |
| (2!+0)0+5 | Tanya Kohli | 7 | Broadview Middle School |
| 20/5+0! | K Kornet | 8 | St. Anne Sarnia, Canada |
| 5!/[(0!+0!)^2]! | Lawrence Lamisere | 5 | Underwood School |
| 5-2+0!+0! | Adam Lemaire | 11 | McCann Technical High School |
| 2x0x0+5 | Jocelyn Lydon | 6 | Johnson Middle School |
| 5-2+0!+0! | Kaitlin Lyerly | 6 | Floyd Middle Magnet |
| 2x0+5-0 | Chris Mahar | 11 | McCann Technical High School |
| sqrt25x(0^0) | Tim Markatos | 6 | Johnson Middle School |
| 5-2+0!+0! | Matthew Mcgee | 7 | Rohrer Middle School |
| 20x0+5 | Devin McKenney | 6 | Floyd Middle Magnet |
| 0!+0!+5-2 | Kyle McTaggart | 7 | Rohrer Middle School |
| 2*0*0+5 | Sarah Miller | 8 | Mount Olive Middle School |
| 5+(2*0)+0 | Margaret Mohrenweiser | 9 | West Milford High School |
| 2x0-0+5 | Kyle Musco | 6 | Johnson Middle School |
| 0+5+(2*0) | Mark M. | 6 | Parker Middle School |
| 2+5-0!-0! | Nick Naraghi | 7 | Mount Olive Middle School |
| 5+0!+0!-2 | Daniel Nussbaum | 8 | Mount Olive Middle School |
| 2*0+5+0 | Erin N. | 6 | Johnson Middle School |
| 2x0+5+0 | Sam O'Brien | 6 | Johnson Middle School |
| (0*0)*2+5 | Kaiwal Patel | 6 | Mount Olive Middle School |
| 0*2+0+5 | Manan Patel | 7 | Mount Olive Middle School |
| 5-[(2x0)+0] | Josefina Peralta | 9 | Upper Darby High School |
| (5+0)+(2*0) | Carla Poles | 8 | Mount Olive Middle School |
| 5+2-0!-0! | Ryan Porrechon | 7 | Rohrer Middle School |
| 5*20^0 | Calvin Pratt | 6 | Johnson Middle School |
| 5-(2*0)+0 | Shannon Prendergast | 6 | Johnson Middle School |
| 2*0+5+0 | Rob Prindall | 6 | Johnson Middle School |
| 2x0+5-0 | Zack P | 11 | McCann Technical High School |
| 5-2+0!+0! | Abhimanyu Ramachandran | 7 | Mount Olive Middle School |
| 5-0!-0!+2 | Brian Reardon | 11 | McCann Technical High School |
| 5+0x2+0 | Amanda Reilly | 6 | Johnson Middle School |
| 5+0x2x0 | Chris Rotella | 7 | WMS |
| 20x0+5 | Jessica Rudolph | 6 | Floyd Middle Magnet School |
| 2*0+0+5 | Tom Ryan | 6 | Johnson Middle School |
| 5-0*2+0 | Chris Salls | 8 | Mendive |
| 5+(2x0+0) | Troy Salvatore | 6 | Johnson Middle School |
| (5+0)-(2x0) | Amber Santos | 7 | Rohrer Middle School |
| sqrt(5^2)+0+0 | Cameron Saunders | 9 | Brookstone |
| 2x0+0+5 | Dave Senecal | 11 | McCann Technical High School |
| 5+(2*0+0) | Sean Shakespeare | 6 | Johnson Middle School |
| (2+0)*0+5 | Dylan Shaw | 6 | Johnson Middle School |
| 0(2+0)+5 | Kyle Snell | 8 | Mount Olive Middle School |
| 2x0x0+5 | Shannon Songin | 6 | Johnson Middle School |
| (0*2*0)+5 | Corey St. John | 8 | Mount Olive Middle School |
| 2*0+0+5 | Ryland Stevens | 1 | Johnson Middle School |
| 0x2x0+5 | Jacquelyn Stoutermire | 6 | Floyd Middle Magnet School |
| 5-2+0!+0! | Courtney S. | 6 | Johnson Middle School |
| 5-(0/2)-0 | Tess S. | 6 | Johnson Middle School |
| 5-2+0!+0! | Arel Torres | 8 | Mount Olive Middle School |
| 5+(2x0)+0 | Carolyn Tracey | 6 | Johnson Middle School |
| 5+0+0x2 | Samantha Vidal | 8 | Mount Olive Middle School |
| (0*2*0)+5 | Amanda Von Lindern | 8 | Mount Olive Middle School |
| 2x0x0+5 | Vanessa Walsh | 6 | Johnson Middle School |
| 5+0!+0!-2 | Brittney Wheeler | 11 | McCann Technical High School |
| 5+(2x0)+0
5x2^0-0 |
David Wians | 6 | Johnson Middle School |
| 5-(2x0)+0 | CJ Wood | 6 | Johnson Middle School |
| 5+2-0!-0! | Justin Wu | 5 | Underwood School, Newton, MA |
| 5+0+(2x0) | Jin X | 5 | Germantown Academy |
| 2x0+0+5 | Lewis Won Cheng Yi | 7 | Hwa Chong institutation |
| (2x0)+5.0 | Allie Z. | 5 | Germantown Academy |
| 5-2+0!+0! | Bella | 8 | Mount Olive Middle School |
| (2x0)+0+5 | Carissa | 11 | McCann Technical High School |
| 0.0x2+5 | Caroline | 6 | Johnson Middle School |
| 5+0^2-0 | Christina | 6 | Johnson Middle School |
| 2*0+0+5 | Dylan | 6 | Johnson Middle School |
| 5+(2*0)+0 | Jakob | 7 | Rohrer Middle School |
| 5-2+0!+0!
5+2-0!-0! |
Joe | 11 | McCann Technical High School |
| (2x0+0)+5 | Kaitlin | 8 | Mount Olive Middle School |
| 2*0+0+5 | Kara | 11 | McCann Technical High School |
| (2x0)+0+5 | Kelsey | 11 | McCann Technical High School |
| 2x0-0+5 | Kevin | 11 | McCann Technical High School |
| 5+0^2-0 | Lauren | 6 | Johnson Middle School |
| (0*2)+(5+0) | Rachel | 7 | Rohrer Middle School |
| 0(0*2)+5 | Shannon | 8 | Ahern Middle School |
| sqrt25+(0+0) | Yohan | 5 | Canadian Academy, Kobe, Japan |
| 2x0+0+5 | Dan Alexander, Mike Kelly, Zoby Boghani, James Richard | 8 | Mount Olive Middle School |
| 0*2+5+0 | Lindsey Connor & Amy Czaudet | 8 | Murdock Middle High School |
| 2x0+0+5 | Jenna MacLellan and Emily Falvey | 6 | Johnson Middle School |
| 2x0+0+5 | Coutney, Stefano,and Frank | 7 | St. Bernadette in Brooklyn NY |
| 2x0x0+5 | Stephanie, Maria | 8 | St. Bernadette, Brooklyn, NY |
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