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• 02:03, 6 November 2015 (diff | hist) . . (+15)‎ . . Utah Math Olympiad ‎ (→‎Past Exams)
• 02:03, 6 November 2015 (diff | hist) . . (0)‎ . . 2015 UMO Problems/Problem 6 ‎ (current)
• 02:01, 6 November 2015 (diff | hist) . . (+319)‎ . . 2015 UMO Problems/Problem 4 ‎ (current)
• 02:00, 6 November 2015 (diff | hist) . . (+150)‎ . . 2015 UMO Problems/Problem 5 ‎ (current)
• 01:59, 6 November 2015 (diff | hist) . . (+642)‎ . . N 2015 UMO Problems/Problem 6 ‎ (Created page with "==Problem == A triangular pyramid with apex <math>O</math> and base <math>\triangle{ABC}</math> has the property that the perimeter of <math>\triangle {ABC}</math> is <math>8...")
• 01:58, 6 November 2015 (diff | hist) . . (+312)‎ . . N 2015 UMO Problems/Problem 5 ‎ (Created page with "==Problem == Find, with proof, all positive integers <math>n</math> with <math>2\le n\le 20</math> such that the greatest common divisor of the coefficients of <math>(x+y)^n-...")
• 01:57, 6 November 2015 (diff | hist) . . (+312)‎ . . N 2015 UMO Problems/Problem 4 ‎ (Created page with "==Problem == Find, with proof, all positive integers <math>n</math> with <math>2\le n\le 20</math> such that the greatest common divisor of the coefficients of <math>(x+y)^n-...")
• 01:57, 6 November 2015 (diff | hist) . . (+312)‎ . . N 2015 UMO Problems/Problem 3 ‎ (Created page with "==Problem == Find, with proof, all positive integers <math>n</math> with <math>2\le n\le 20</math> such that the greatest common divisor of the coefficients of <math>(x+y)^n-...") (current)
• 01:57, 6 November 2015 (diff | hist) . . (+465)‎ . . N 2015 UMO Problems/Problem 2 ‎ (Created page with "==Problem == In <math>\triangle{ABC}, \overline{AC} = 13</math> and <math>\overline{AB} = 20</math>, and the length of the altitude from <math>A</math> to <math>\overline{BC}...") (current)
• 01:55, 6 November 2015 (diff | hist) . . (-32)‎ . . 2015 UMO Problems/Problem 1 ‎ (current)
• 01:54, 6 November 2015 (diff | hist) . . (+528)‎ . . N 2015 UMO Problems/Problem 1 ‎ (Created page with "==Problem == Three trolls have divided <math>n</math> pancakes among themselves such that: • Each troll has a positive integer number of pancakes. • The greatest common...")
• 01:51, 6 November 2015 (diff | hist) . . (+164)‎ . . 2015 UMO Problems ‎ (current)
• 01:42, 6 November 2015 (diff | hist) . . (+2,477)‎ . . N 2015 UMO Problems ‎ (Created page with "==Problem 1== Three trolls have divided <math>n</math> pancakes among themselves such that: • Each troll has a positive integer number of pancakes. • The greatest common d...")
• 01:34, 6 November 2015 (diff | hist) . . (+635)‎ . . N 2015 UMO ‎ (Created page with "'''2015 UMO''' problems and solutions. The test was held on March 21, 2015. The first link contains the full set of test problems. The rest contain eac...") (current)
• 01:03, 6 November 2015 (diff | hist) . . (+435)‎ . . N 2006 UNCO Math Contest II Answer Key ‎ (Created page with "1) <math>\tfrac{13}{16}</math> 2) <math>ab+ac+bc+a+b+c</math> 3) <math>2</math> 4) <math>\{1,2,5\}</math> 5) <math>18</math> 6) (a) <math>\frac{(2^{n+1}-1)(3^{n+1}-1)}{2}...") (current)
• 00:56, 6 November 2015 (diff | hist) . . (+495)‎ . . N 2007 UNCO Math Contest II Answer Key ‎ (Created page with "1) <math>670,338</math> 2) <math>\tfrac{24}{43}</math> 3) <math>1^2+2^2+3^2+\cdots + n^2= 1\cdot n+3\cdot (n-1) +5\cdot (n-2)+\cdots (2n-1)\cdot 1</math> 4) <math>+1</math>...") (current)
• 00:46, 6 November 2015 (diff | hist) . . (+755)‎ . . N 2008 UNCO Math Contest II Answer Key ‎ (Created page with "1) <math>21</math> 2) <math>\{1,4,9,10\} </math> or <math>\{2,3,8,11\}</math> 3) <math>20</math> 4) (a) <math>3\binom{10}{2}</math> (b) <math>3\binom{n+2}{2}=\frac{3(n+1)(n...") (current)
• 00:30, 6 November 2015 (diff | hist) . . (+21)‎ . . 2009 UNCO Math Contest II Answer Key ‎ (current)
• 00:27, 6 November 2015 (diff | hist) . . (+435)‎ . . N 2009 UNCO Math Contest II Answer Key ‎ (Created page with "1) <math>45</math> 2) (a) <math>25</math> (b) <math>75</math> 3) <math>6008</math> 4) <math>360</math> 5) <math>200</math> 6) <math>\binom{m}{2} \binom{n}{2}</math> 7)...")
• 00:21, 6 November 2015 (diff | hist) . . (+9)‎ . . 2010 UNCO Math Contest II Answer Key ‎
• 00:19, 6 November 2015 (diff | hist) . . (+597)‎ . . N 2010 UNCO Math Contest II Answer Key ‎ (Created page with "1) <math>153</math> 2) <math>210</math> 3) <math>12</math> 4) <math>(n+1)^2(n^2+1)</math> 5) (a) <math>\tfrac{6}{455}</math> (b) <math>\frac{n!}{\binom{n^2}{n}}</math> ...")
• 00:03, 6 November 2015 (diff | hist) . . (-37)‎ . . 2011 UNCO Math Contest II Answer Key ‎ (current)
• 00:01, 6 November 2015 (diff | hist) . . (+1,241)‎ . . N 2011 UNCO Math Contest II Answer Key ‎ (Created page with "1) <math>41</math> 2) <math>\{22,28,30\}</math> 3) <math>65</math> 4) (a) <math>101</math> (b)<math> \{101, 325, 2501\}</math> 5) <math>160</math> 6) <math>9</math> 7)...")
• 23:43, 5 November 2015 (diff | hist) . . (-10)‎ . . 2012 UNCO Math Contest II Answer Key ‎ (current)
• 23:41, 5 November 2015 (diff | hist) . . (+448)‎ . . N 2012 UNCO Math Contest II Answer Key ‎ (Created page with "1) (a) <math>36</math> (b) <math>196</math> 2) <math>\frac{1}{324}</math> 3) <math>126</math> 4) (a) <math>289</math> (b) <math>11</math> 5) <math>0</math> 6) <math>210...")
• 23:32, 5 November 2015 (diff | hist) . . (+19)‎ . . 2013 UNCO Math Contest II Answer Key ‎ (current)
• 23:29, 5 November 2015 (diff | hist) . . (+485)‎ . . N 2013 UNCO Math Contest II Answer Key ‎ (Created page with "1) <math>48−9\pi</math> 2) (a) <math>36</math> (b) <math>216</math> (c) <math>46656</math> 3) <math>9</math> 4) <math>x=1,-2,-5,\frac{7\pm\sqrt{41}}{4}</math> 5) <math>{...")
• 23:19, 5 November 2015 (diff | hist) . . (+42)‎ . . 2015 UNCO Math Contest II Answer Key ‎ (current)
• 23:06, 5 November 2015 (diff | hist) . . (+1,727)‎ . . N 2015 UNCO Math Contest II Answer Key ‎ (Created page with "1) <math>17</math> 2) <math>3\pi</math> 3) <math>P(x) = 5x^2−3x+17</math> 4) <math>28</math> 5) <math>8</math> 6) <math>1197</math> 7) (a) One possible example i...")
• 01:35, 2 September 2015 (diff | hist) . . (+96)‎ . . 1986 AHSME Problems/Problem 22 ‎ (→‎Solution)
• 03:13, 3 February 2015 (diff | hist) . . (+394)‎ . . N 2015 UNCO Math Contest II Problems/BONUS ‎ (Created page with "== Problem == You arrange <math>12</math> biologists of <math>12</math> different heights in three rows of <math>4</math>, with the same conditions on height as in part 10(a) fo...")
• 03:12, 3 February 2015 (diff | hist) . . (+54)‎ . . 2015 UNCO Math Contest II ‎ (current)
• 03:11, 3 February 2015 (diff | hist) . . (-9)‎ . . 2015 UNCO Math Contest II Problems/Problem 10 ‎
• 03:11, 3 February 2015 (diff | hist) . . (+1,204)‎ . . N 2015 UNCO Math Contest II Problems/Problem 10 ‎ (Created page with "== Problem == <math>\begin{tabular}[t]{|c|c|c|c|}\hline & & & &\hline & & & &\hline \end{tabular}</math> (a) You want to arrange <math>8</math> biologists of <math>8</math> ...")
• 03:09, 3 February 2015 (diff | hist) . . (+842)‎ . . N 2015 UNCO Math Contest II Problems/Problem 9 ‎ (Created page with "== Problem == <asy> pair A=dir(90),B=dir(210),C=dir(330),O=(0,0); draw(circle(O,1),black); draw(O--A--B--O--B--C--O--C--A,dot); </asy> Starting at the node in the center of t...")
• 03:08, 3 February 2015 (diff | hist) . . (+818)‎ . . N 2015 UNCO Math Contest II Problems/Problem 8 ‎ (Created page with "== Problem == A garden urn contains <math>18</math> colored beetles: <math>6</math> red beetles, numbered from <math>1</math> to <math>6</math>, and <math>12</math> yellow beetl...")
• 03:06, 3 February 2015 (diff | hist) . . (+893)‎ . . N 2015 UNCO Math Contest II Problems/Problem 7 ‎ (Created page with "== Problem == (a) Give an example of a polyhedron whose faces can be colored in such a way that each face is either blue or gold, no two gold faces meet along an edge, and the ...")
• 03:05, 3 February 2015 (diff | hist) . . (+338)‎ . . N 2015 UNCO Math Contest II Problems/Problem 6 ‎ (Created page with "== Problem == How many ordered pairs <math>(n,m)</math> of positive integers satisfying <math>m < n \le 50</math> have the property that their product <math>mn</math> is less th...")
• 03:04, 3 February 2015 (diff | hist) . . (+1,100)‎ . . N 2015 UNCO Math Contest II Problems/Problem 5 ‎ (Created page with "== Problem == <asy> pair a1=(0,0),b1=(1,0),c1=(3,0),d1=(4,0),e1=(4.5,-.25),f1=(4.25,-2),g1=(3.75,-2.25),h1=(1.5,-2); pair i1=(.75,-3),j1=(1.25,-3),k1=(3.25,-3),l1=(4,-2.75); dr...")
• 03:03, 3 February 2015 (diff | hist) . . (+632)‎ . . N 2015 UNCO Math Contest II Problems/Problem 4 ‎ (Created page with "== Problem == Tarantulas <math>A, B,</math> and <math>C</math> start together at the same time and race straight along a <math>100</math> foot path, each running at a constant s...")
• 03:02, 3 February 2015 (diff | hist) . . (+293)‎ . . N 2015 UNCO Math Contest II Problems/Problem 3 ‎ (Created page with "== Problem == If P is a polynomial that satisfies <math>P(x^2 +1) = 5x^4 +7x^2 +19</math>, then what is <math>P(x)</math>? (Hint: <math>P</math> is quadratic.) == Solution == ...")
• 03:02, 3 February 2015 (diff | hist) . . (0)‎ . . m 2015 UNCO Math Contest II Problems/Problem 2 ‎ (→‎See also)
• 03:01, 3 February 2015 (diff | hist) . . (+613)‎ . . N 2015 UNCO Math Contest II Problems/Problem 2 ‎ (Created page with "== Problem == <asy> filldraw(circle((0,0),3),white); filldraw(arc((-1,0),2,0,180)--cycle,grey); filldraw(arc((-2,0),1,0,180)--cycle,white); filldraw(arc((1,0),2,180,360)--cycle...")
• 02:59, 3 February 2015 (diff | hist) . . (+270)‎ . . N 2015 UNCO Math Contest II Problems/Problem 1 ‎ (Created page with "== Problem == The sum of three consecutive integers is <math>54</math>. What is the smallest of the three integers? == Solution == == See also == {{UNCO Math Contest box|year...")
• 02:56, 3 February 2015 (diff | hist) . . (+58)‎ . . m 2015 UNCO Math Contest II Problems ‎ (→‎Problem 10)
• 02:54, 3 February 2015 (diff | hist) . . (+123)‎ . . m 2015 UNCO Math Contest II Problems ‎ (→‎Problem 9)
• 02:49, 3 February 2015 (diff | hist) . . (+1)‎ . . m 2015 UNCO Math Contest II Problems ‎ (→‎Problem 5)
• 02:47, 3 February 2015 (diff | hist) . . (+313)‎ . . m 2015 UNCO Math Contest II Problems ‎ (→‎Problem 5)
• 02:27, 3 February 2015 (diff | hist) . . (+205)‎ . . m 2015 UNCO Math Contest II Problems ‎ (→‎Problem 10)
• 02:17, 3 February 2015 (diff | hist) . . (+223)‎ . . m 2015 UNCO Math Contest II Problems ‎ (→‎Problem 2)

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