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• 22:52, 11 February 2009 (diff | hist) . . (-120)‎ . . m United States of America Mathematical Olympiad ‎ (→‎Recommended reading)
• 00:24, 5 January 2009 (diff | hist) . . (+13)‎ . . m 2006 AIME A Problems/Problem 15 ‎ (→‎Solution)
• 02:25, 4 January 2009 (diff | hist) . . (-54)‎ . . m Template:ProbAMC ‎ (current)
• 21:35, 3 January 2009 (diff | hist) . . (+3,015)‎ . . 1975 USAMO Problems/Problem 2 ‎
• 16:08, 3 January 2009 (diff | hist) . . (+3,160)‎ . . N 1976 USAMO Problems ‎ (New page: Problems from the '''1976 USAMO'''. ==Problem 1== <asy> void fillsq(int x, int y){ fill((x,y)--(x+1,y)--(x+1,y+1)--(x,y+1)--cycle, ...)
• 16:06, 3 January 2009 (diff | hist) . . (+4)‎ . . m 1975 USAMO Problems ‎
• 16:04, 3 January 2009 (diff | hist) . . (+26)‎ . . m 1976 USAMO Problems/Problem 5 ‎
• 16:03, 3 January 2009 (diff | hist) . . (+377)‎ . . N 1976 USAMO Problems/Problem 4 ‎ (New page: ==Problem== If the sum of the lengths of the six edges of a trirectangular tetrahedron <math>PABC</math> (i.e., <math>\angle APB=\angle BPC=\angle CPA=90^o</math>) is <math>S</math>, deter...)
• 15:57, 3 January 2009 (diff | hist) . . (+363)‎ . . m 1994 AIME Problems/Problem 6 ‎ (→‎Solution)
• 15:41, 3 January 2009 (diff | hist) . . (+15)‎ . . m 1994 AIME Problems/Problem 14 ‎ (→‎Solution)
• 15:41, 3 January 2009 (diff | hist) . . (+1,270)‎ . . N 1976 USAMO Problems/Problem 2 ‎ (New page: ==Problem== If <math>A</math> and <math>B</math> are fixed points on a given circle and <math>XY</math> is a variable diameter of the same circle, determine the locus of the point of inter...)
• 13:43, 3 January 2009 (diff | hist) . . (+438)‎ . . m 1976 USAMO Problems/Problem 1 ‎
• 01:20, 3 January 2009 (diff | hist) . . (+1,128)‎ . . m AoPS Wiki:AoPS Community Awards ‎ (→‎Perfect AMC Scores)
• 00:47, 3 January 2009 (diff | hist) . . (+1,220)‎ . . 1974 USAMO Problems/Problem 2 ‎
• 00:15, 3 January 2009 (diff | hist) . . (+3,278)‎ . . 1974 USAMO Problems/Problem 5 ‎
• 21:52, 2 January 2009 (diff | hist) . . (0)‎ . . m Template:AIME Problems ‎
• 20:29, 31 December 2008 (diff | hist) . . (+16)‎ . . m USAMO Problems and Solutions ‎
• 17:36, 30 December 2008 (diff | hist) . . (-3)‎ . . m 1973 USAMO Problems ‎ (→‎See also)
• 17:36, 30 December 2008 (diff | hist) . . (-3)‎ . . m 1974 USAMO Problems ‎ (→‎See also)
• 17:36, 30 December 2008 (diff | hist) . . (+2,098)‎ . . N 1975 USAMO Problems ‎ (New page: Problems from the ''' USAMO'''. ==Problem 1== (a) Prove that <center><math>[5x]+[5y]\ge [3x+y]+[3y+x]</math>,</center> where <math>x,y...)
• 17:33, 30 December 2008 (diff | hist) . . (+1)‎ . . m 1975 USAMO Problems/Problem 1 ‎ (→‎Problem)
• 17:32, 30 December 2008 (diff | hist) . . (+487)‎ . . N 1975 USAMO Problems/Problem 5 ‎ (New page: ==Problem== A deck of <math>n</math> playing cards, which contains three aces, is shuffled at random (it is assumed that all possible card distributions are equally likely). The cards are ...)
• 17:28, 30 December 2008 (diff | hist) . . (+2,181)‎ . . N 1963 IMO Problems ‎ (New page: Problems of the 5th IMO 1963 Poland. == Day I == === Problem 1 === Find all real roots of the equation <center><math>\sqrt{x^2-p}+2\sqrt{x^2-1}=x</math>,</center>where <math>p</math...)
• 17:25, 30 December 2008 (diff | hist) . . (+732)‎ . . N 1963 IMO Problems/Problem 6 ‎ (New page: ==Problem== Five students, <math>A,B,C,D,E</math>, took part in a contest. One prediction was that the contestants would finish in the order <math>ABCDE</math>. This prediction was very po...)
• 17:23, 30 December 2008 (diff | hist) . . (+190)‎ . . N 1963 IMO Problems/Problem 5 ‎ (New page: ==Problem== Prove that <math>\cos{\frac{\pi}{7}}-\cos{\frac{2\pi}{7}}+\cos{\frac{3\pi}{7}}=\frac{1}{2}</math>. ==Solution== {{solution}} ==See Also== {{IMO box|year=1963|num-b=4|num-a=6...)
• 17:21, 30 December 2008 (diff | hist) . . (+339)‎ . . N 1963 IMO Problems/Problem 4 ‎ (New page: ==Problem== Find all solutions <math>x_1,x_2,x_3,x_4,x_5</math> of the system <center><math>\begin{eqnarray} x_5+x_2&=&yx_1\\ x_1+x_3&=&yx_2\\ x_2+x_4&=&yx_3\\ x_3+x_5&=&yx_4\\ x_4+x_1&=&y...)
• 17:19, 30 December 2008 (diff | hist) . . (+316)‎ . . N 1963 IMO Problems/Problem 3 ‎ (New page: ==Problem== In an <math>n</math>-gon all of whose interior angles are equal, the lengths of consecutive sides satisfy the relation <center><math>a_1\ge a_2\ge \cdots \ge a_n</math>.</cente...)
• 17:17, 30 December 2008 (diff | hist) . . (+336)‎ . . N 1963 IMO Problems/Problem 2 ‎ (New page: ==Problem== Point <math>A</math> and segment <math>BC</math> are given. Determine the locus of points in space which are the vertices of right angles with one side passing through <math>A<...)
• 17:15, 30 December 2008 (diff | hist) . . (+243)‎ . . N 1963 IMO Problems/Problem 1 ‎ (New page: ==Problem== Find all real roots of the equation <center><math>\sqrt{x^2-p}+2\sqrt{x^2-1}=x</math>,</center>where <math>p</math> is a real parameter. ==Solution== {{solution}} ==See Also...)
• 17:10, 30 December 2008 (diff | hist) . . (+422)‎ . . N 1962 IMO Problems/Problem 7 ‎ (New page: ==Problem== The tetrahedron <math>SABC</math> has the following property: there exist five spheres, each tangent to the edges <math>SA, SB, SC, BC, CA, AB</math>, or to their extensions. ...)
• 17:09, 30 December 2008 (diff | hist) . . (+374)‎ . . N 1962 IMO Problems/Problem 6 ‎ (New page: ==Problem== Consider an isosceles triangle. Let <math>r</math> be the radius of its circumscribed circle and <math>\rho</math> the radius of its inscribed circle. Prove that the distance <...)
• 17:09, 30 December 2008 (diff | hist) . . (+346)‎ . . N 1962 IMO Problems/Problem 5 ‎ (New page: ==Problem== On the circle <math>K</math> there are given three distinct points <math>A,B,C</math>. Construct (using only straightedge and compass) a fourth point <math>D</math> on <math>K<...)
• 17:08, 30 December 2008 (diff | hist) . . (+155)‎ . . N 1962 IMO Problems/Problem 4 ‎ (New page: ==Problem== Solve the equation <math>cos^2{x}+cos^2{2x}+cos^2{3x}=1</math>. ==Solution== {{solution}} ==See Also== {{IMO box|year=1962|num-b=3|num-a=5}})
• 17:08, 30 December 2008 (diff | hist) . . (+841)‎ . . N 1962 IMO Problems/Problem 3 ‎ (New page: ==Problem== Consider the cube <math>ABCDA'B'C'D'</math>(<math>ABCD</math> and <math>A'B'C'D'</math> are the upper and lower bases, respectively, and edges <math>AA'</math>, <math>BB'</math...)
• 17:07, 30 December 2008 (diff | hist) . . (+238)‎ . . N 1962 IMO Problems/Problem 2 ‎ (New page: ==Problem== Determine all real numbers <math>x</math> which satisfy the inequality: <center> <math>\sqrt{\sqrt{3-x}-\sqrt{x+1}}>\dfrac{1}{2}</math> </center> ==Solution== {{solution}} =...)
• 16:57, 30 December 2008 (diff | hist) . . (+409)‎ . . N 1962 IMO Problems/Problem 1 ‎ (New page: ==Problem== Find the smallest natural number <math>n</math> which has the following properties: (a) Its decimal representation has 6 as the last digit. (b) If the last digit 6 is erased ...)
• 16:56, 30 December 2008 (diff | hist) . . (-2)‎ . . m 1962 IMO Problems ‎ (→‎Problem 1)
• 16:55, 30 December 2008 (diff | hist) . . (+1,325)‎ . . 1962 IMO Problems ‎
• 16:46, 30 December 2008 (diff | hist) . . (+587)‎ . . N 1960 IMO Problems/Problem 7 ‎ (New page: ==Problem== An isosceles trapezoid with bases <math>a</math> and <math>c</math> and altitude <math>h</math> is given. a) On the axis of symmetry of this trapezoid, find all points <math>P...)
• 16:45, 30 December 2008 (diff | hist) . . (-13)‎ . . m 1960 IMO Problems/Problem 6 ‎ (→‎See Also)
• 16:18, 30 December 2008 (diff | hist) . . (+664)‎ . . N 1975 USAMO Problems/Problem 4 ‎ (New page: ==Problem== Two given circles intersect in two points <math>P</math> and <math>Q</math>. Show how to construct a segment <math>AB</math> passing through <math>P</math> and terminating on t...)
• 16:12, 30 December 2008 (diff | hist) . . (+302)‎ . . N 1975 USAMO Problems/Problem 3 ‎ (New page: ==Problem== If <math>P(x)</math> denotes a polynomial of degree <math>n</math> such that <math>P(k)=k/(k+1)</math> for <math>k=0,1,2,\ldots,n</math>, determine <math>P(n+1)</math>. ==Solu...)
• 16:11, 30 December 2008 (diff | hist) . . (+390)‎ . . N 1975 USAMO Problems/Problem 2 ‎ (New page: ==Problem== Let <math>A,B,C,D</math> denote four points in space and <math>AB</math> the distance between <math>A</math> and <math>B</math>, and so on. Show that <center><math>AC^2+BD^2+AD...)
• 16:09, 30 December 2008 (diff | hist) . . (+538)‎ . . N 1975 USAMO Problems/Problem 1 ‎ (New page: ==Problem== (a) Prove that <center><math>[5x]+[5y]\ge [3x+y]+[3y+x]</math>,</center>where <math>x,y\ge 0</math> and <math>[u]</math> denotes the greatest integer <math>\le u</math> (e.g., ...)
• 16:04, 30 December 2008 (diff | hist) . . (+427)‎ . . N 1975 USAMO ‎ (New page: The '''Fourth USAMO''' was held May 6, 1975. There were five problems. * 1975 USAMO Problems * Problem 1 * [[1975 USAMO Problems/Problem 2 | P...)
• 16:02, 30 December 2008 (diff | hist) . . (+2,660)‎ . . N 1974 USAMO Problems ‎ (New page: Problems from the '''1974 USAMO'''. ==Problem 1== Let <math>a</math>, <math>b</math>, and <math>c</math> denote three distinct integer...)
• 16:00, 30 December 2008 (diff | hist) . . (-12)‎ . . m 1974 USAMO Problems/Problem 4 ‎ (→‎See also)
• 16:00, 30 December 2008 (diff | hist) . . (+774)‎ . . N 1974 USAMO Problems/Problem 4 ‎ (New page: ==Problem== A father, mother and son hold a family tournament, playing a two person board game with no ties. The tournament rules are: (i) The weakest player chooses the first two contest...)
• 15:56, 30 December 2008 (diff | hist) . . (+336)‎ . . N 1974 USAMO Problems/Problem 3 ‎ (New page: ==Problem== Two boundary points of a ball of radius 1 are joined by a curve contained in the ball and having length less than 2. Prove that the curve is contained entirely within some hemi...)
• 15:54, 30 December 2008 (diff | hist) . . (+294)‎ . . N 1974 USAMO Problems/Problem 2 ‎ (New page: ==Problem== Prove that if <math>a</math>, <math>b</math>, and <math>c</math> are positive real numbers, then <center><math>a^ab^bc^c\ge (abc)^{(a+b+c)/3}</math></center> ==Solution== {{so...)

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