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: 100

 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.