Math Forum || K-12 Math Puzzles || Problems of the Week || Student Center

 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.

## STUDENT SOLUTIONS: 5

 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

Please notify Judy Ann Brown of any errors.