#### A Math Forum Project

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

View All the King's Digits Sister Site at The World of Trotter Math.

This page shows the solutions that arrived from March 4 till April 11, 2001.

Solution Tips: From this page onward, we will expand our permitted function options some more-- the trigonometric functions! For example, Solution #101 uses the sine function. We will write it as "sin(n)", where n shall assumed to be in degrees.

Also, we will borrow an idea I learned from Mrs. Brown's Year Puzzle Game, regarding "double factorial". This means that "n!! = n(n - 2)...(2)" is n even; and if n is odd, it equals "n(n - 2)...(1)".

## STUDENT SOLUTIONS

 # Solution Name (Grade) School 101 4!!/((sqrt8)^2)*(6-0!)!*(sin(9/.3)+1/E(7-5)) Kevin (11) Escuela Americana 102 cbrt[cbrt(8)+2+cbrt(3*9)+0!]*5*[4+6]*1^7 David Farhi (7) Nichols MiddleSchool 103 56 + 4(12) - 7 + 3 + 0(8 + 9) Burdak Bekdemir (7) Uskudar SEV Elementary School 104 10 * 9 - 35 + 24 + 8 + 6 + 7 Burdak Bekdemir (7) Uskudar SEV Elementary School 105 (4*6) + (9*8)+ (2/1) + 5 - 3 + 0*7 Cansu Aydede (7) Uskudar SEV Elementary School 106 [sqrt(5x20)] x [(3x4)/6] + [(1+7) + (9x8)] Angela Marinas (8) Canadian Martyrs Catholic School 107 5^3-[6^2-(19-8)]*(4*7)^0 Vivian Chen (8) Taipei American School 108 12 + 34 + 56 - (9 - 7) * 8^0 Ellen Li (8) Taipei American School 109 2[4(3+6)+(7+8)-1]+9(0) Andrew Anderson (10) Winter Springs High School 110 3! ( 9 + 4 ) + 6( 5 ) - 8 + 0^7 John Flatley (10) Winter Springs High School 111 E5+6^2+8*7-9^0-3-4+1 Jisun (8) Taipei American School 112 cbrt(64) + (2^3) + [(8+1) * 9] + 7 + 0^1 Arda Antikacioglu (6) The Koc Elementary School 113 (4 * 5 * 2) + (1 + 9 + 7 + 3) + (8 * 6 * 0) HyeMin (9) Tianjin International School 114 (50 + 89 - 31) * (7-6) - (4*2) Nina Huang (8) Taipei American School 115 50 * cbrt{[(8-6)^(1^7)] * cbrt(E9 + E4 + E3 + E2)} Peter Sun (8) Taipei American School 116 (sqrt25)! - [(sqrt9)(sqrt(37 - 8^0)) + (sqrt16) / (sqrt4) Peter Sun (8) Taipei American School 117 [10 * 5 * (4/2)] * 87^(9 - 3 - 6) Kimberly Chen (8) Taipei American School 118 [(6!-5!)/3]/[(90+2-87)-4+1] Vivian Chen (8) Taipei American School 119 [4!*(7-3)]+{[(68-59)-1^0]/2} Vivian Chen (8) Taipei American School 120 E12 + cbrt(64) + 3 * 8 - [5 + (9 * 7)^0] Michael Lin (8) Taipei American School