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This Web page is intended to record solutions submitted by students in grades three through twelve. Student solutions were submitted January 1, 1999 through February 1,1999. Submissions for missing numbers can still be submitted using the Web form.

Rules: use the digits in the year 1999 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 61 to 70

 Solution Name Grade School 61 (sqrt9! *9)+(sqrt9! +1) Michael Falls 6 Raymond Park Middle School 61 1 + (sqrt9)! +9(sqrt9)! Lisa Gardner 3 Boyette Springs ES 61 9[(sqrt9)! ]+(sqrt9)! +1 Karen Kull 7 St.Jude School, Brooklyn, NY 62 [sqrt(9)! x 9] + [9 - 1] Christine Alaniz 7 Wilson Central Junior High, West Lawn, PA 62 (sqrt9! *9)+(9-1) Michael Falls 6 Raymond Park Middle School 62 (-1 +9) +9(sqrt9)! Lisa Gardner 3 Boyette Springs ES 62 9(sqrt9)! +9-1 Danielle Marquez 7 St.Jude School, Brooklyn, NY 62 sqrt9! *9+9-1 David Moudy 7 Raymond Park Middle School 63 9(9-1)-9 Jinane Beaubrun 8 St.Jude School, Brooklyn, NY 63 [9-1]x9-9 Ross Bragg 6 Raymond Park Middle School 63 (1+sqrt9)! x (sqrt9)-9 Wendy Cheung 10 The Bishop Strachan School 63 (9-1)x9-9 Tony Drake 6 Raymond Park Middle School 63 (sqrt9! *9)+(9*1) Michael Falls 6 Raymond Park Middle School 63 (1)(9) +9(sqrt9)! Lisa Gardner 3 Boyette Springs ES 63 1xsqrt9! x9+9 Michelle Goldwyn 8 Reading-Fleming Middle School 63 (9 - 1) x 9 - 9 Lisa Jackson 4 Cheat Lake Elementary 64 (sqrt9! *9)+(9+1) Michael Falls 6 Raymond Park Middle School 64 (1 +9) +9(sqrt9)! Lisa Gardner 3 Boyette Springs ES 64 9xsqrt9! +1+9 Michelle Goldwyn 8 Reading-Fleming Middle School 64 9[(sqrt9)! ]+9+1 Karen Kull 7 St.Jude School, Brooklyn, NY 65 (sqrt9!/sqrt9)^sqrt9! +1 Michael Falls 6 Raymond Park Middle School 65 (-1+9)!/((sqrt9)!)! +9 Lisa Gardner 3 Boyette Springs ES 65 (sqrt9!/sqrt9)^sqrt9! +1 David Moudy 7 Raymond Park Middle School 66 (9+1)*((sqrt9)!)+(sqrt9)! Nicholas Allison 7 Comberton Village College 66 [1 + sqrt(9)! ] x 9 + sqrt(9) Matt Agnew 7 Wilson Central Junior High, West Lawn, PA 66 (sqrt9!)*(9+1)+sqrt9! Michael Falls 6 Raymond Park Middle School 66 (-1 +9)(9) - (sqrt9)! Lisa Gardner 3 Boyette Springs ES 66 (sqrt9)! x(9+1)+(sqrt9)! Angela Rosiello 7 St.Jude School, Brooklyn, NY 67 (1+sqrt9)^(sqrt9)+(sqrt9) Wendy Cheung 10 The Bishop Strachan School 67 (sqrt9 + 1)^sqrt9 + sqrt9 Mario Correia 8 Chester M. Stephens Mt. Olive Middle School 67 (sqrt9+1)^(sqrt9)+sqrt9 Michael Falls 6 Raymond Park Middle School 67 (1+sqrt9)^sqrt9 + sqrt9 Keri Lewis 8 Kickemuit Middle School-Warren,RI 67 (sqrt9+1)^(sqrt9)+(sqrt9) Ms. Stonequist's Math Class 6 Marie Murphy School 68 69 (sqrt9)! *(9+1)+9 Michael Falls 6 Raymond Park Middle School 69 (-1+9)(9) - sqrt9 Lisa Gardner 3 Boyette Springs ES 69 (sqrt9)!(9+1)+9 Niah Murray 8 St.Jude School, Brooklyn, NY 70 (sqrt9!)!/9-9-1 Michael Falls 6 Raymond Park Middle School 70 (-1-9) + ((sqrt9)!)!/9 Lisa Gardner 3 Boyette Springs ES 70 ((sqrt9)!)!/9-9-1 Pat Malloy 11 Norton High School 70 [(sqrt9)!]!/9-9-1 David Moudy 7 Raymond Park Middle School 70 [(sqrt9)!]!/9-(9+1) David Moudy 7 Raymond Park Middle School

Please notify Judy Ann Brown of any errors.

The Math Forum ** 22 December 1998