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• 23:52, 16 March 2013 (diff | hist) . . (+146)‎ . . N 1991 AHSME Problems/Problem 2 ‎ (Created page with "<math>|3-\pi|=</math> (A) <math>\frac{1}{7}</math> (B) <math>0.14</math> (C) <math>3-\pi</math> (D) <math>3+\pi</math> (E) <math>\pi-3</math>")
• 23:49, 16 March 2013 (diff | hist) . . (+298)‎ . . N 1991 AHSME Problems/Problem 1 ‎ (Created page with "If for any three distinct numbers <math>a</math>, <math>b</math>, and <math>c</math> we define <math>f(a,b,c)=\frac{c+a}{c-b}</math>, then <math>f(1,-2,-3)</math> is (A) <math>-...")
• 05:14, 1 April 2012 (diff | hist) . . (-1,306)‎ . . 2012 AIME I Problems/Problem 13 ‎ (→‎Solution)
• 05:12, 1 April 2012 (diff | hist) . . (+4,437)‎ . . 2012 AIME I Problems/Problem 13 ‎ (→‎Solution)
• 14:42, 2 March 2012 (diff | hist) . . (+3,841)‎ . . N 2012 AMC 12B Problems/Problem 23 ‎ (Created page with "==Solution 1== Since <math>z_0</math> is a root of <math>P</math>, and <math>P</math> has integer coefficients, <math>z_0</math> must be algebraic. Since <math>z_0</math> is alg...")
• 00:37, 1 March 2012 (diff | hist) . . (+1,689)‎ . . 2012 AMC 12B Problems/Problem 17 ‎ (→‎Solution)
• 23:48, 29 February 2012 (diff | hist) . . (+1,091)‎ . . 2012 AMC 12B Problems/Problem 12 ‎
• 23:20, 29 February 2012 (diff | hist) . . (+589)‎ . . 2012 AMC 12B Problems/Problem 13 ‎ (→‎Solution)
• 21:28, 29 February 2012 (diff | hist) . . (+196)‎ . . 1989 AHSME Problems/Problem 14 ‎
• 21:17, 29 February 2012 (diff | hist) . . (+723)‎ . . N 1989 AHSME Problems/Problem 16 ‎ (Created page with "Since the endpoints are (3,17) and (48,281), the line that passes through these 2 points has slope <math>m=\frac{281-17}{48-3}=\frac{264}{45}=\frac{88}{15}</math>. The equation o...")
• 21:04, 29 February 2012 (diff | hist) . . (+300)‎ . . 1989 AHSME Problems/Problem 6 ‎
• 09:56, 19 February 2012 (diff | hist) . . (+566)‎ . . N 1991 AHSME Problems/Problem 28 ‎ (Created page with "Initially an urn contains 100 white and 100 black marbles. Repeatedly 3 marbles are removed (at random) from the urn and replaced with some marbles from a pile outside the urn as...")
• 09:24, 19 February 2012 (diff | hist) . . (+216)‎ . . N 1989 AHSME Problems/Problem 3 ‎ (Created page with "Let <math>x</math> be the width of a rectangle so that the side of the square is <math>3x</math>. Since <math>2(3x)+2(x)=24</math> we have <math>x=3</math>. Thus the area of the ...")
• 09:20, 19 February 2012 (diff | hist) . . (-126)‎ . . 1989 AHSME Problems/Problem 2 ‎
• 08:54, 19 February 2012 (diff | hist) . . (+8)‎ . . 1989 AHSME Problems/Problem 1 ‎
• 05:53, 19 February 2012 (diff | hist) . . (+397)‎ . . 1989 AHSME Problems ‎ (→‎Problem 30)
• 05:49, 19 February 2012 (diff | hist) . . (0)‎ . . 1989 AHSME Problems ‎ (→‎Problem 27)
• 05:48, 19 February 2012 (diff | hist) . . (+274)‎ . . 1989 AHSME Problems ‎ (→‎Problem 27)
• 05:45, 19 February 2012 (diff | hist) . . (+332)‎ . . 1989 AHSME Problems ‎ (→‎Problem 25)
• 05:43, 19 February 2012 (diff | hist) . . (+386)‎ . . 1989 AHSME Problems ‎ (→‎Problem 22)
• 05:39, 19 February 2012 (diff | hist) . . (+215)‎ . . 1989 AHSME Problems ‎ (→‎Problem 29)
• 05:35, 19 February 2012 (diff | hist) . . (+289)‎ . . 1989 AHSME Problems ‎ (→‎Problem 28)
• 05:34, 19 February 2012 (diff | hist) . . (+355)‎ . . 1989 AHSME Problems ‎ (→‎Problem 26)
• 05:33, 19 February 2012 (diff | hist) . . (+406)‎ . . 1989 AHSME Problems ‎ (→‎Problem 24)
• 05:28, 19 February 2012 (diff | hist) . . (+403)‎ . . N 1989 AHSME Problems/Problem 24 ‎ (Created page with "Five people are sitting at a round table. Let <math>f\geq 0</math> be the number of people sitting next to at least 1 female and <math>m\geq0</math> be the number of people sitti...")
• 05:24, 19 February 2012 (diff | hist) . . (+289)‎ . . N 1989 AHSME Problems/Problem 8 ‎ (Created page with "For how many integers <math>n</math> between 1 and 100 does <math>x^2+x-n</math> factor into the product of two linear factors with integer coefficients? <math> \mathrm{(A) \ 0 ...")
• 05:08, 19 February 2012 (diff | hist) . . (+365)‎ . . N 1989 AHSME Problems/Problem 10 ‎ (Created page with "Consider the sequence defined recursively by <math>u_1=a</math> (any positive number), and <math>u_{n+1}=-1/(u_n+1)</math>, <math>n=1,2,3,...</math> For which of the following va...")
• 05:03, 19 February 2012 (diff | hist) . . (+304)‎ . . N 1989 AHSME Problems/Problem 6 ‎ (Created page with "If <math>a,b>0</math> and the triangle in the first quadrant bounded by the co-ordinate axes and the graph of <math>ax+by=6</math> has area 6, then <math>ab=</math> <math> \math...")
• 04:59, 19 February 2012 (diff | hist) . . (+352)‎ . . N 1989 AHSME Problems/Problem 26 ‎ (Created page with "A regular octahedron is formed by joining the centers of adjoining faces of a cube. The ratio of the volume of the octahedron to the volume of the cube is <math> \mathrm{(A) \fr...")
• 04:52, 19 February 2012 (diff | hist) . . (+370)‎ . . N 1989 AHSME Problems/Problem 13 ‎ (Created page with "Let <math>a</math>, <math>b</math>, <math>c</math>, and <math>d</math> be integers with <math>a<2b</math>, <math>b<3c</math>, and <math>c<4d</math>. If <math>d<100</math>, the la...")
• 04:47, 19 February 2012 (diff | hist) . . (+377)‎ . . N 1989 AHSME Problems/Problem 19 ‎ (Created page with "A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5. What is the area of the triangle? <math> \mathrm{(A) ...")
• 04:44, 19 February 2012 (diff | hist) . . (+353)‎ . . N 1989 AHSME Problems/Problem 18 ‎ (Created page with "The set of all real numbers for which <cmath>x+\sqrt{x^2+1}-\frac{1}{x+\sqrt{x^2+1}}</cmath> is a rational number is the set of all (A) integers <math>x</math> (B) rational <m...")
• 04:22, 19 February 2012 (diff | hist) . . (+182)‎ . . N 1989 AHSME Problems/Problem 14 ‎ (Created page with "<math>\cot 10+\tan 5=</math> <math> \mathrm{(A) \csc 5 } \qquad \mathrm{(B) \csc 10 } \qquad \mathrm{(C) \sec 5 } \qquad \mathrm{(D) \sec 10 } \qquad \mathrm{(E) \sin 15 } </m...")
• 04:17, 19 February 2012 (diff | hist) . . (+287)‎ . . N 1989 AHSME Problems/Problem 28 ‎ (Created page with "Find the sum of the roots of <math>\tan^2x-9\tan x+1=0</math> that are between <math>x=0</math> and <math>x=2\pi</math> radians. <math> \mathrm{(A) \frac{\pi}{2} } \qquad \math...")
• 04:04, 19 February 2012 (diff | hist) . . (+238)‎ . . N 1989 AHSME Problems/Problem 2 ‎ (Created page with "<math>\sqrt{\frac{1}{9}+\frac{1}{16}}=</math> (A) <math>\frac{1}{5}</math>\hskip.5in (B)<math>\frac{1}{4}</math>\hskip.5in (C)<math>\frac{2}{7}</math>\hskip.5in (D)<math>\...")
• 22:48, 18 February 2012 (diff | hist) . . (+155)‎ . . N 1988 AHSME Problems/Problem 15 ‎ (Created page with "Suppose that <math>a</math> and <math>b</math> are integers such that <math>x^2-x-1</math> is a factor of <math>ax^3+bx^2+1</math>. What is <math>b</math>?")
• 22:34, 18 February 2012 (diff | hist) . . (+74)‎ . . N 1993 AHSME Problems/Problem 28 ‎ (Created page with "How many triangles can be formed with vertices on a 4 by 4 grid of points?")
• 22:28, 18 February 2012 (diff | hist) . . (+217)‎ . . N 1992 AHSME Problems/Problem 23 ‎ (Created page with "Let <math>S</math> be a subset of <math>\{1,2,3,...,50\}</math> such that no pair of distinct elements in <math>S</math> has a sum divisible by <math>7</math>. What is the maximu...")
• 22:25, 18 February 2012 (diff | hist) . . (+229)‎ . . N 1992 AHSME Problems/Problem 17 ‎ (Created page with "The 2-digit integers from 19 to 92 are written consecutively to form the integer <math>N=192021\cdots9192</math>. Suppose that <math>3^k</math> is the highest power of 3 that is ...")
• 22:22, 18 February 2012 (diff | hist) . . (+218)‎ . . N 1991 AHSME Problems/Problem 15 ‎ (Created page with "A circular table has 60 chairs around it. There are <math>N</math> people seated at this table in such a way that the next person seated must sit next to someone. What is the sma...")
• 22:14, 18 February 2012 (diff | hist) . . (+240)‎ . . N 1991 AHSME Problems/Problem 21 ‎ (Created page with "For all real numbers <math>x</math> except <math>x=0</math> and <math>x=1</math> the function <math>f(x)</math> is defined by <math>f(x/(1-x))=1/x</math>. Suppose <math>0\leq t\l...")
• 21:58, 18 February 2012 (diff | hist) . . (+227)‎ . . N 1990 AHSME Problems/Problem 30 ‎ (Created page with "Let <math>R_n=\frac{1}{2}(a^n+b^n)</math> for each non-negative integer <math>n</math> where <math>a=3+2\sqrt{2}</math> and <math>b=3-2\sqrt{2}</math>. The value of <math>R_{1234...")
• 21:53, 18 February 2012 (diff | hist) . . (+515)‎ . . N 1991 AHSME Problems/Problem 26 ‎ (Created page with "An <math>n</math>-digit positive integer is cute if its <math>n</math> digits are an arrangement of the set <math>\{1,2,...,n\}</math> and its first <math>k</math> digits form a...")
• 21:46, 18 February 2012 (diff | hist) . . (+388)‎ . . N 1992 AHSME Problems/Problem 21 ‎ (Created page with "For a finite sequence <math>A=(a_1,a_2,...,a_n)</math> of numbers, the ''Cesáro sum'' of A is defined to be <math>\frac{S_1+\cdots+S_n}{n}</math> , where <math>S_k=a_1+\cdots+...")
• 21:35, 18 February 2012 (diff | hist) . . (+88)‎ . . N 1990 AHSME Problems/Problem 11 ‎ (Created page with "How many positive integers less than 50 have an odd number of positive integer divisors?")
• 21:32, 18 February 2012 (diff | hist) . . (+446)‎ . . N 1991 AHSME Problems/Problem 17 ‎ (Created page with "A positive integer <math>N</math> is a ''palindrome'' if the integer obtained by reversing the sequence of digits of <math>N</math> is equal to <math>N</math>. The year 1991 is t...")
• 05:03, 13 February 2012 (diff | hist) . . (+1,168)‎ . . 2012 AMC 12A Problems/Problem 18 ‎ (→‎Solution)
• 04:17, 13 February 2012 (diff | hist) . . (+726)‎ . . 2012 AMC 12A Problems/Problem 16 ‎ (→‎Solution)
• 04:32, 20 February 2011 (diff | hist) . . (+1,470)‎ . . 2011 AMC 12A Problems/Problem 24 ‎ (→‎Solution 1)
• 04:00, 20 February 2011 (diff | hist) . . (+1,397)‎ . . 2011 AMC 12A Problems/Problem 23 ‎ (→‎Solution)

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