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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 |
| 5.0*20
(20*5)+0 |
Jimmy Adams | 6 | Johnson Middle School |
| 5(20)+0 | Viridiana Aguilar | 9 | Coachella Valley High School |
| 20(5)+0
50(2)+0 |
Chua Cheng Aik | 7 | Hwa Chong Institution |
| 20*5+0 | Simon Alger | 10 | Cannons Creek |
| 20*5+0 | JP Allport | 7 | RSM Intermediate |
| 50*2+0 | Jonathan Bailey | 6 | Johnson Middle School |
| 50x2+0 | Andrea Barry | 6 | Johnson Middle School |
| 20x5+0 | Steve Bednarczyk | 11 | McCann Technical High School |
| 02*50 | Christine Bloom | 8 | Mount Olive Middle School |
| 20x5+0 | Andrew Bodin | 6 | Johnson Middle School |
| 5!-20-0 | Esther Braun | 5 | John Stanford International School; Seattle WA |
| 50x2+0 | Cody Brown | 6 | Johnson Middle School |
| 5!-20-0 | Jako B | 7 | Rohrer Middle School |
| 5!-20+0 | Chris Carley | 6 | Johnson Middle School |
| 50x2+0 | Amanda Carney | 6 | Johnson Middle School |
| 5!-20+0 | Casey Ciechanowski | 6 | Johnson Middle School |
| 20x5+0 | Julia Connell | 6 | Johnson Middle School |
| 20(5)+0 | Charlie Costanzo | 7 | Broadview Middle School |
| 20x(0+5) | Nick Deshpande | 12 | John F. Ross CVI |
| (5!)-20+0 | Jessica Dochney | 7 | Rohrer Middle School |
| 50x2+0 | Connor Donovan | 6 | JMS |
| 50x2+0 | Alex D. | 6 | Johnson Middle School |
| 20x5-0 | Justin Ellis | 6 | Johnson Middle School |
| 5!-20+0 | Michael Emily | 7 | Willson Middle School |
| 50*2+0 | Kristin Euchler | 7 | Clarksburg Elementary School |
| 5*20+0 | Lim Yu Sheng Fabian | 7 | Hwa Chong Institution |
| 20x5-0 | Dave Frizzell | 6 | Johnson Middle School |
| (5!-20)+0 | Tyler Fukae | 5 | Canadian Academy Japan, Kobe |
| (2+0)(50)
(sqrt(5-0!))/.02 |
Lisa Gardner | 9 | Buchholz High School |
| 50x2+0 | Jimmy Gillon | 6 | Johnson Middle School |
| 20x5+0 | Caroline G. | 6 | Johnson Middle School |
| (2*5)^(0!+0!) | Stephen Hall | 7 | The Gordon School |
| 20*5-0
50x2-0 |
Jalisa Hardy | 6 | Floyd Middle Magnet School |
| 50x2+0 | Savannah Harik | 6 | Johnson Middle School |
| 20x5+0 | Lim Kah Hong | 8 | Hwachong Institution |
| 2x50+0 | Mike Judd | 8 | Mount Olive Middle School |
| 20*5+0 | George C. J. | 6 | Floyd Middle Magnet |
| 20*5+0 | Denielle Knysh | 11 | Charles H. McCann Technical High School |
| 50x2+0 | Thomas Lee | 6 | Johnson Middle School |
| 5!-20+0 | Adam Lemaire | 11 | McCann Technical High School |
| 50*2+0 | Andrea Lomeli | 9 | Coachella Valley High School |
| 20*5+0 | Amanda McCue | 8 | John J. Ahern Middle School |
| 20x5+0 | Devin McKenney | 6 | Floyd Middle Magnet |
| 20x5+0 | Matt Miller | 8 | Mount Olive Middle School |
| 50x2+0 | Tayyabah Mirza | 7 | Rohrer Middle School |
| 5!-20+0 | Margaret Mohrenweiser | 9 | West Milford High School |
| 50x2+0 | Dylan M | 6 | Johnson Middle School |
| 5!-20-0 | Colby Nadeau | 6 | Johnson Middle School |
| (50x2)+0 | Kanako Nakagawa | 5 | Canadian Academy Japan, Kobe |
| 5!-20-0 | Michelle Nunez | 11 | McCann Technical High School |
| 50*2+0 | Molly Otresmky | 7 | Rohrer Middle School |
| 50*2+0 | Calvin Pratt | 6 | Johnson Middle School |
| 20*5+0 | Shannon Prendergast | 6 | Johnson Middle School |
| 50x2+0 | Viktoras Raklevicius | 6 | Floyd Middle Magnet School |
| 5!-20+0 | Abhimanyu Ramachandran | 7 | Mount Olive Middle School |
| (50*2)+0 | Ben Ringwood | 7 | Rohrer Middle School |
| 50x2+0 | Chris Rotella | 7 | WMS |
| 50*2+0 | Tom Ryan | 6 | Johnson Middle School |
| 50*2+0 | Kayla Saam | 8 | Mount Olive Middle School |
| (20*5)+0 | Koki Sakurai | 5 | Canadian Academy Japan |
| 5!-20-0 | Chris Salls | 8 | Mendive |
| 5x20+0 | Cameron Saunders | 9 | Brookstone |
| 5!-20-0 | Shreye Saxena | 6 | Mount Olive Middle School |
| 5*20+0 | Chris Schackerman | 7 | Rohrer Middle School |
| 50x2-0 | Dave Senecal | 11 | McCann Technical High School |
| (50*2)-0 | Dylan Shaw | 6 | Johnson Middle School |
| 20*5+0 | Ryan Sheehan | 7 | Rohrer Middle School |
| 50*2+0 | Courtney S. | 6 | Johnson Middle School |
| 20x5+0 | Devon S | 5 | GA |
| 50x2+0 | Tess S. | 6 | Johnson Middle School |
| 5!-20+0 | Carolyn Tracey | 6 | Johnson Middle School |
| 02*50 | Ricardo Trochez | 8 | Mount Olive Middle School |
| 2*50+0 | Amanda Tran | 7 | Williamstown Middle School |
| 50x2+0 | Kyle Patrick Valderrama | 8 | Mount Olive Middle School |
| 20x5+0
20x5-0 |
Samantha Vidal | 8 | Mount Olive Middle School |
| 50*2+0 | Amanda Von Lindern | 8 | Mount Olive Middle School |
| 20x5-0 | Brittney Wheeler | 11 | McCann Technical High School |
| 50x2-0 | David Wians | 6 | Johnson Middle |
| 5!-20-0 | Thomas Woodward | 11 | Brookstone School |
| 50*2+0 | Justin Wu | 5 | Underwood School, Newton, MA |
| 20*5+0
5!-20-0 |
Lewis Won Cheng Yi | 7 | Hwa Chong Institution |
| 5!-(20+0) | Allie Z. | 5 | Germantown Academy |
| 5!-20+0 | Brandon | 7 | Rohrer Middle School |
| 2*50-0 | Christina | 6 | Johnson Middle School |
| 5!-20-0 | Jakob | 7 | Rohrer Middle School |
| 50x2+0 | JR | 7 | St. Bernadette School, Brooklyn, New York |
| 50x2+0 | Kelsey | 6 | Johnson Middle School |
| 50x2+0 | Kelsey | 11 | McCann Technical High School |
| (5*20)+0 | Kevin | 7 | Rohrer Middle School |
| 5*20+0 | Lauren | 6 | Elenor N. Johnson Middle School |
| 20*5+0 | Lo | 9 | Oxnard High School |
| 50x2+0 | Matt | 11 | McCann Technical High School |
| 50*2+0 | Mollie | 6 | Johnson Middle School |
| 20x5+0 | Samantha | 7 | St.Bernadette, Brooklyn New York |
| 50*2+0 | Taylor | 6 | Johnson Middle School |
| 5!-20+0 | Aliesha Fink, Basia Godecki | 8 | Mount Olive Middle School |
| 20x5-0 | Jagjot Pataria, Krista D'Onofrio, Matthew Mari | 7 | St. Bernadette, Brooklyn, NY |
| 50x2+0 | Bianc, Dom, Ari | 7 | St. Bernadette School |
| 50x2+0 | Ichiro, Yamakazi, Bread | 7 | St. Bernadette |
Please notify Judy Ann Brown of any errors.
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