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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 | Mike Allen | 8 | Murdock Middle High School |
| 50 * .02 | JP Allport | 7 | RSM Intermediate |
| 5-2-0!-0! | Uwe Anselm | 7 | American International School of Vilnius |
| (5*0)+(2-0!) | Asya Ashour | 7 | Mount Olive Middle School |
| 2^0+5*0 | Isra Ashour | 8 | Mount Olive Middle School |
| 5-2-0!-0! | Zach Bannon | 6 | JMS |
| 0.5x2+0 | Andrea Barry | 6 | Johnson Middle School |
| (5*2*0)!*0! | Tanvir Bhullar | 7 | Mount Olive Middle School |
| 0(5+2)+0! | Goh Bin | 7 | Hwa Chong Institution |
| 5-2-(0!+0!) | Andrew Bodin | 6 | Johnson Middle School |
| 2x.5+0+0 | Leah Bombardier | 11 | McCann Technical High School |
| 2^0+(0x5) | Esther Braun | 5 | John Stanford International School; Seattle WA |
| (0.5+0)x2 | Cody Brown | 6 | Johnson Middle School |
| 0^5 + 2^0 | Kate B | 6 | Parker Middle School |
| (0.5+0)*2 | Laura B. | 6 | Johnson Middle School |
| 20x.05 | Seth Cable | 11 | McCann Technical High School |
| 0! + 2 x 5 x 0 | Justin Cantor | 8 | Mount Olive Middle School |
| .5x2+0+0 | Erik Caporrino | 8 | Mount Olive Middle School |
| 5^0*2^0 | Amanda Carney | 6 | Johnson Middle School |
| (2x5x0)^0 | Scottie Carlson | 8 | Mount Olive Middle School |
| 5^0*2^0 | Samantha Carty | 6 | Johnson Middle School |
| 5-2-0!-0! | Mike Chimets | 7 | St. Anne |
| 0.5*2+0 | Michael Cho | 7 | Willson Middle School |
| (0.5+0)x2 | Casey Ciechanowski | 6 | Johnson Middle School |
| .02 x 50 | Bryan Clark | 11 | McCann Technical High School |
| 2*0+5^0 | Kelly Collar | 7 | Mount Olive Middle School |
| 5^0x2^0 | Julia Connell | 6 | Johnson Middle School |
| 5^0x2^0 | Sarah Connolly | 6 | Johnson Middle School |
| (0.5+0)x2 | John Coville | 6 | Johnson Middle School |
| 5-2-0!-0! | Kuki C | 6 | Parker Middle School |
| 5-2-0!-0! | Heather Dalton | 8 | Mount Olive 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 |
| 52^0+0 | Richard Deblock | 8 | Mount Olive Middle School |
| 2^0 + (0 x 5) | Nick Deshpande | 12 | John F. Ross CVI |
| 0.5x2+0 | Chuan Dewei | 7 | Hwa Chong Institution |
| (.5*2)+0+0 | Shannon Donohue | 7 | Rohrer Middle School |
| 5^0x2^0 | Sabrina Dorronsoro | 6 | Johnson Middle School |
| .02x50 | Andrew Dupras | 8 | Dartmouth Middle School |
| 5-2-0!-0! | Alex D. | 6 | Johnson Middle School |
| (2^0)*(5^0) | Mark D. | 6 | Parker Middle School |
| (2^5)^(0-0) | Kristin Euchler | 7 | Clarksburg Elementary School |
| 0.5x2+0 | Ryan Ford | 6 | Johnson Middle School |
| .5x2+0+0 | Aubry Frost | 11 | McCann Technical High School |
| 2^0+0*5 | Lisa Gardner | 9 | Buchholz High School |
| 2*.5+0-0 | Kaitlyn Gibison | 7 | Rohrer Middle School |
| 5-2-0!-0! | Nikai Gibson | 7 | Mount Olive Middle School |
| 0.5x2+0 | Jimmy Gillon | 6 | Johnson Middle School |
| 0.5*2+0 | Taylor Gilmore | 6 | Elanor N Johnson Middle School |
| 5-2-0!-0! | Trevor Girard | 11 | McCann Technical High School |
| 5^0x2^0 | Mike G. | 6 | Johnson Middle School |
| 2*.5+0-0 | Willem Hardeski | 7 | Roher Middle School |
| 0.2x5+0 | Savannah Harik | 6 | Johnson |
| (2*5*0)+0! | Hannah Harry | 7 | The Gordon School |
| .5*2+0+0 | Max Hartt | 7 | William J Rohrer Middle School |
| 0.2 x 5+0 | David Heming | 11 | McCann Technical High School |
| 0.5x2+0 | Kate Hern | 6 | Johnson Middle School |
| 5-2-(0!+0!) | Lau Wei Jie Jonathan | 7 | Hwa Chong Institution |
| .5*2+0+0 | Joshua Jordan | 6 | Floyd Middle Magnet School |
| 2*0.5+0 | Amy J. | 6 | Parker Middle School |
| (5*0)+2-0! | Amanda Kafes | 7 | Rohrer Middle School |
| (0.5x2)+0 | Azar Khosrowshahi | 5 | Canadian Academy Kobe,Japan |
| .2*5+0+0 | Denielle Knysh | 11 | McCann Technical High School |
| .5 x 2 +0 +0 | K Kornet | 8 | St. Anne Sarnia, Canada |
| 5^0x2^0 | Julia K. | 6 | Johnson Middle School |
| .5 x 2+0 +0 | Sarah Lange | 8 | St. Anee Sarnia, Canada |
| 205^0 | Kelsey LeClair | 11 | McCann Technical High School |
| 5-2-0!-0! | Adam Lemaire | 11 | McCann Technical High School |
| 2*.5+0+0 | Andrea Lomeli | 9 | Coachella Valley High School |
| (.5*2)+(0+0) | Jonathan Low | 7 | Rohrer Middle School |
| 5^0x2^0 | Jocelyn Lydon | 6 | Johnson Middle School |
| .2 x 5+0-0 | Kaitlin Lyerly | 6 | Floyd Middle Magnet |
| 25^0+0 | Samantha MacDonald | 10 | Arlington High School |
| 0!+(5*2*0) | Eric Marko | 11 | McCann Technical High School |
| 205^0 | Shannon McDavitt | 8 | John J. Ahern Middle School |
| 0.5x2+0 | Devin S. 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 |
| (0.5 + 0) x 2 | Nicole Monahan | 6 | Johnson Middle School |
| (0.5+0)*2 | Emily Moore | 7 | Rohrer Middle School |
| 0.5x2+0 | Dylan Murphy | 6 | Johnson Middle School |
| 0.50x2 | Kyle Musco | 6 | Johnson Middle School |
| 0!+(52*0) | Mark M. | 6 | Parker Middle School |
| (0.5+0)*2 | Colby Nadeau | 6 | Johnson Middle School |
| 2.0x0.5 | Kanako Nakagawa | 5 | Canadian Academy Japan, Kobe |
| (5+2)*0+0! | Nick Naraghi | 7 | Mount Olive Middle School |
| .5x2+0+0 | Kayla Nedza | 8 | Mount Olive Middle School |
| 0x5+2^0 | Coley Nee | 6 | Johnson Middle School |
| 2^0 +0(5) | Co Nguyen | 10 | Lindbergh High School |
| 5-2-0!-0! | Michelle Nunez | 11 | McCann Technical High School |
| 0!+2x5x0 | Daniel Nussbaum | 8 | Mount Olive Middle School |
| 205^0 | Erin N. | 6 | Johnson Middle School |
| 0.50x2 | Sam O'Brien | 6 | Johnson Middle School |
| 52^0+0 | Sara Ouimet | 8 | Mount Olive Middle School |
| 0.5x2+0 | Dino Panopoulos | 6 | Johnson Middle School |
| (5 + 2 )^0 +0 | Jagjot Pataria | 7 | St. Bernadette, Brooklyn, NY |
| (5+2)*0+0! | Kaiwal Patel | 6 | Mount Olive Middle School |
| 5-2(0!+0!) | Manan Patel | 7 | Mount Olive Middle School |
| 2-[(5x0)^0] | Josefina Peralta | 9 | Upper Darby High School |
| 5-2-0!-0! | Quang Pham | 11 | Central High School |
| 5-2-0!-0! | Sam Picciuti | 8 | Mount Olive Middle School |
| .5*2+0+0
(.2*5)+(0+0) |
Ryan Porrechon | 7 | Rohrer Middle School |
| 0.50*2 | Calvin Pratt | 6 | Johnson Middle School |
| (0.5+0)x2 | Shannon Prendergast | 6 | Jonhson Middle School |
| 250^0 | Rob Prindall | 6 | Johnson Middle School |
| (0.5+0)*2 | Amy Rader | 7 | Rohrer Middle School |
| 5-2*(0!+0!) | Abhimanyu Ramachandran | 7 | Mount Olive Middle School |
| .5x2+0+0 | Chris Rotella | 7 | WMS |
| 0.5*2+0 | Tom Ryan | 6 | Johnson Middle School |
| 2^0+5*0 | Chris Salls | 8 | Mendive |
| (0.5+0)x2 | Troy Salvatore | 6 | Johnson Middle School |
| 5-2-0!-0! | Dave Senecal | 11 | McCann Technical High School |
| (0.5+0)*2 | Sean Shakespeare | 6 | Johnson Middle School |
| 0!+(0)(2)(5) | Aman Sharma | 7 | T.H. Rogers |
| (0.5*2)+0 | Dylan Shaw | 6 | Johnson Middle School |
| 0.5*2+0 | Courtney Shea | 6 | Johnson Middle School |
| (0.5*2)+0 | Ryan Sheehan | 7 | Rohrer Middle School |
| 5^0 x 2^0 | Shannon Songin | 6 | Johnson Middle School |
| 52^0+0 | Jodi Stalter | 8 | Mount Olive Middle School |
| (.5*2)+0+0 | Melanie Snider | 5 | Underwood School, Newton, MA |
| (2+0)*(0.5) | Corey St. John | 8 | Mount Olive Middle School |
| 0.5x2+0 | Ryland Stevens | 6 | Johnson Middle School |
| 5^0+(2*0) | Jenna Surmick | 7 | Rohrer Middle School |
| 5-2-(0!+0!) | Courtney S. | 6 | Johnson Middle School |
| 5-(2+0!+0!) | Ariel Torres | 8 | Mount Olive Middle School |
| (0.5+0) *2 | Carolyn Tracey | 6 | Jonhson Middle School |
| 2x.5+0+0 | Warren T. | 11 | McCann Technical High School |
| 5-(2+0!+0!) | Kyle Patrick Valderrama | 8 | Mount Olive Middle School |
| 5-(2+0!+0!) | Brynne Verbel | 8 | Mount Olive Middle School |
| (2+0)*(0.5) | Amanda Von Lindern | 8 | Mount Olive Middle School |
| 52^0+0 | Samantha Vidal | 8 | Mount Olive Middle School |
| 0.5x2+0 | Vanessa Walsh | 6 | Johnson Middle School |
| .05 x 20 | Josh Weinstock | 12 | MSSD |
| 5^0x2^0 | David Wians | 6 | Johnson Middle School |
| 0.50x2 | Sean Wilson | 6 | Johnson middle school |
| (0.5+0)x2 | CJ Wood | 6 | Johnson Middle School |
| 5-2-0!-0! | Justin Wu | 5 | Underwood School, Newton, MA |
| 5-2-0!-0! | Jin X. | 5 | Germantown Academy |
| .5*2+0+0 | Daniel Zambrano | 6 | Floyd Middle Magnet |
| .2*5+0+0 | Lenny Ziarnik | 11 | McCann Technical High School |
| (5x.2)+(0+0) | Allie Z. | 5 | Germantown Academy |
| 0!+2*5*0 | Bella | 8 | Mount Olive Middle School |
| 0.5x2+0 | Caroline | 6 | Johnson Middle School |
| 5^0+0^2 | Christina | 6 | Johnson Middle School |
| 2-5^0-0 | Colleen | 6 | Parker Middle School |
| 205^0 | Daniel | 8 | John J ahern |
| .02 * 50 | Darlene | 11 | McCann Technical High School |
| 0.5*2+0 | Dylan | 6 | Johnson Middle School |
| 5-2-0!-0! | Joe | 11 | McCann Technical High School |
| 5^0x2^0 | JR | 7 | St. Bernadette School, Brooklyn, New York |
| (2x5x0)^0 | Kaitlin | 8 | Mount Olive Middle School |
| 5*0+2-0! | Kara | 11 | McCann Technical High School |
| 0.50x2 | Kelsey | 6 | Johnson Middle |
| 5-2-0!-0! | Kevin | 11 | McCann Technical High School |
| 5^0+0^2 | Lauren | 6 | Johnson Middle School |
| 0.5x2+0 | Liz | 6 | Johnson Middle School |
| 2*5*0+0! | Lo | 9 | Oxnard High School |
| 0.5*2+0 | Mollie | 6 | Johnson Middle School |
| 5^0*2^0 | Stephanie | 8 | ahern |
| .50*2+0 | Vishal | 5 | Canadian Academy Kobe,Japan |
| 0!+(2x5x0) | Dan Alexander, Mike Kelly, Zoby Boghani, James Richard | 8 | Mount Olive Middle School |
| .5x2+0+0 | Amanda Debrot and Taylor Kobran | 8 | Mount Olive Middle School |
| 52^0+0 | Aliesha Fink, Basia Godecki | 8 | Mount Olive Middle School |
| 5^0x2^0
5^0÷2^0 52^0+0 |
Katie Weber and Kristen Leccacorvi | 10 | Arlington High School |
| 2^0+(0x5) | Coutney, Stefano,and Frank | 7 | St.Bernadette in Brooklyn NY |
| 2-5^0+0 | Patrick, Andrew, Keyaneue | 7 | St. Bernadette |
Please notify Judy Ann Brown of any errors.
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