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• 01:45, 24 October 2014 (diff | hist) . . (+488)‎ . . N 1986 AHSME Problems/Problem 29 ‎ (Created page with "==Problem== Two of the altitudes of the scalene triangle <math>ABC</math> have length <math>4</math> and <math>12</math>. If the length of the third altitude is also an integer...")
• 01:44, 24 October 2014 (diff | hist) . . (+1,188)‎ . . N 1986 AHSME Problems/Problem 28 ‎ (Created page with "==Problem== <math>ABCDE</math> is a regular pentagon. <math>AP, AQ</math> and <math>AR</math> are the perpendiculars dropped from <math>A</math> onto <math>CD, CB</math> extend...")
• 01:44, 24 October 2014 (diff | hist) . . (+977)‎ . . N 1986 AHSME Problems/Problem 27 ‎ (Created page with "==Problem== In the adjoining figure, <math>AB</math> is a diameter of the circle, <math>CD</math> is a chord parallel to <math>AB</math>, and <math>AC</math> intersects <math>...")
• 01:43, 24 October 2014 (diff | hist) . . (+644)‎ . . N 1986 AHSME Problems/Problem 26 ‎ (Created page with "==Problem== It is desired to construct a right triangle in the coordinate plane so that its legs are parallel to the <math>x</math> and <math>y</math> axes and so that the medi...")
• 01:43, 24 October 2014 (diff | hist) . . (+483)‎ . . N 1986 AHSME Problems/Problem 25 ‎ (Created page with "==Problem== If <math>\lfloor x\rfloor</math> is the greatest integer less than or equal to <math>x</math>, then <math>\sum_{N=1}^{1024} \lfloor \log_{2}N\rfloor =</math> <math>...")
• 01:42, 24 October 2014 (diff | hist) . . (+510)‎ . . N 1986 AHSME Problems/Problem 24 ‎ (Created page with "==Problem== Let <math>p(x) = x^{2} + bx + c</math>, where <math>b</math> and <math>c</math> are integers. If <math>p(x)</math> is a factor of both <math>x^{4} + 6x^{2} + 25</ma...")
• 01:42, 24 October 2014 (diff | hist) . . (+415)‎ . . N 1986 AHSME Problems/Problem 23 ‎ (Created page with "==Problem== Let N = <math>69^{5} + 5*69^{4} + 10*69^{3} + 10*69^{2} + 5*69 + 1</math>. How many positive integers are factors of <math>N</math>? <math>\textbf{(A)}\ 3\qquad \t...")
• 01:41, 24 October 2014 (diff | hist) . . (+512)‎ . . N 1986 AHSME Problems/Problem 22 ‎ (Created page with "==Problem== Six distinct integers are picked at random from <math>\{1,2,3,\ldots,10\}</math>. What is the probability that, among those selected, the second smallest is <math>3<...")
• 01:40, 24 October 2014 (diff | hist) . . (+1,150)‎ . . N 1986 AHSME Problems/Problem 21 ‎ (Created page with "==Problem== In the configuration below, <math>\theta</math> is measured in radians, <math>C</math> is the center of the circle, <math>BCD</math> and <math>ACE</math> are line ...")
• 01:40, 24 October 2014 (diff | hist) . . (+502)‎ . . N 1986 AHSME Problems/Problem 20 ‎ (Created page with "==Problem== Suppose <math>x</math> and <math>y</math> are inversely proportional and positive. If <math>x</math> increases by <math>p\%</math>, then <math>y</math> decreases by...")
• 01:39, 24 October 2014 (diff | hist) . . (+537)‎ . . N 1986 AHSME Problems/Problem 19 ‎ (Created page with "==Problem== A park is in the shape of a regular hexagon <math>2</math> km on a side. Starting at a corner, Alice walks along the perimeter of the park for a distance of <math>5...")
• 01:39, 24 October 2014 (diff | hist) . . (+496)‎ . . N 1986 AHSME Problems/Problem 18 ‎ (Created page with "==Problem== A plane intersects a right circular cylinder of radius <math>1</math> forming an ellipse. If the major axis of the ellipse of <math>50\%</math> longer than the mino...")
• 01:37, 24 October 2014 (diff | hist) . . (+22)‎ . . m 1986 AHSME Problems/Problem 17 ‎ (→‎Problem)
• 01:37, 24 October 2014 (diff | hist) . . (+12)‎ . . m 1986 AHSME Problems/Problem 17 ‎
• 01:37, 24 October 2014 (diff | hist) . . (-1)‎ . . m 1986 AHSME Problems/Problem 16 ‎ (→‎See also)
• 01:37, 24 October 2014 (diff | hist) . . (+739)‎ . . N 1986 AHSME Problems/Problem 17 ‎ (Created page with "==Problem== A drawer in a darkened room contains <math>100</math> red socks, <math>80</math> green socks, <math>60</math> blue socks and <math>40</math> black socks. A youngste...")
• 01:36, 24 October 2014 (diff | hist) . . (+816)‎ . . N 1986 AHSME Problems/Problem 16 ‎ (Created page with "==Problem== In <math>\triangle ABC, AB = 8, BC = 7, CA = 6</math> and side <math>BC</math> is extended, as shown in the figure, to a point <math>P</math> so that <math>\triangl...")
• 01:35, 24 October 2014 (diff | hist) . . (+739)‎ . . N 1986 AHSME Problems/Problem 15 ‎ (Created page with "==Problem== A student attempted to compute the average <math>A</math> of <math>x, y</math> and <math>z</math> by computing the average of <math>x</math> and <math>y</math>, and...")
• 01:35, 24 October 2014 (diff | hist) . . (+591)‎ . . N 1986 AHSME Problems/Problem 14 ‎ (Created page with "==Problem== Suppose hops, skips and jumps are specific units of length. If <math>b</math> hops equals <math>c</math> skips, <math>d</math> jumps equals <math>e</math> hops, and...")
• 01:34, 24 October 2014 (diff | hist) . . (+420)‎ . . N 1986 AHSME Problems/Problem 13 ‎ (Created page with "==Problem== A parabola <math>y = ax^{2} + bx + c</math> has vertex <math>(4,2)</math>. If <math>(2,0)</math> is on the parabola, then <math>abc</math> equals <math>\textbf{(A)}...")
• 01:34, 24 October 2014 (diff | hist) . . (+965)‎ . . N 1986 AHSME Problems/Problem 12 ‎ (Created page with "==Problem== John scores <math>93</math> on this year's AHSME. Had the old scoring system still been in effect, he would score only <math>84</math> for the same answers. How man...")
• 01:33, 24 October 2014 (diff | hist) . . (+798)‎ . . N 1986 AHSME Problems/Problem 11 ‎ (Created page with "==Problem== In <math>\triangle ABC, AB = 13, BC = 14</math> and <math>CA = 15</math>. Also, <math>M</math> is the midpoint of side <math>AB</math> and <math>H</math> is the foot...")
• 01:32, 24 October 2014 (diff | hist) . . (+515)‎ . . N 1986 AHSME Problems/Problem 10 ‎ (Created page with "==Problem== The <math>120</math> permutations of the <math>AHSME</math> are arranged in dictionary order as if each were an ordinary five-letter word. The last letter of the <m...")
• 01:32, 24 October 2014 (diff | hist) . . (+484)‎ . . N 1986 AHSME Problems/Problem 9 ‎ (Created page with "==Problem== The product <math> \left(1-\frac{1}{2^{2}}\right)\left(1-\frac{1}{3^{2}}\right)\ldots\left(1-\frac{1}{9^{2}}\right)\left(1-\frac{1}{10^{2}}\right)</math> equals <ma...")
• 01:32, 24 October 2014 (diff | hist) . . (+596)‎ . . N 1986 AHSME Problems/Problem 8 ‎ (Created page with "==Problem== The population of the United States in <math>1980</math> was <math>226,504,825</math>. The area of the country is <math>3,615,122</math> square miles. The are <math>...")
• 01:31, 24 October 2014 (diff | hist) . . (+595)‎ . . N 1986 AHSME Problems/Problem 7 ‎ (Created page with "==Problem== The sum of the greatest integer less than or equal to <math>x</math> and the least integer greater than or equal to <math>x</math> is <math>5</math>. The solution s...")
• 01:31, 24 October 2014 (diff | hist) . . (0)‎ . . m 1986 AHSME Problems/Problem 6 ‎ (→‎See also)
• 01:30, 24 October 2014 (diff | hist) . . (+371)‎ . . N 1986 AHSME Problems/Problem 6 ‎ (Created page with "==Problem== Solve <math>t</math> in this system of equation: <cmath>t-w+l = 32\quad \\ t-l+w = 28</cmath> <math>\textbf{(A)}\ 28 \qquad \textbf{(B)}\ 29 \qquad \textbf{(C)}\ 3...")
• 01:30, 24 October 2014 (diff | hist) . . (+417)‎ . . N 1986 AHSME Problems/Problem 5 ‎ (Created page with "==Problem== Simplify <math>\left(\sqrt[6]{27} - \sqrt{6 \frac{3}{4} }\right)^2</math> <math>\textbf{(A)}\ \frac{3}{4} \qquad \textbf{(B)}\ \frac{\sqrt 3}{2} \qquad \textbf{(C)}...")
• 01:29, 24 October 2014 (diff | hist) . . (+536)‎ . . N 1986 AHSME Problems/Problem 4 ‎ (Created page with "==Problem== Let S be the statement "If the sum of the digits of the whole number <math>n</math> is divisible by <math>6</math>, then <math>n</math> is divisible by <math>6</mat...")
• 01:29, 24 October 2014 (diff | hist) . . (-7)‎ . . m 1986 AHSME Problems/Problem 3 ‎ (→‎See also)
• 01:28, 24 October 2014 (diff | hist) . . (+554)‎ . . N 1986 AHSME Problems/Problem 3 ‎ (Created page with "==Problem== <math>\triangle ABC</math> is a right angle at <math>C</math> and <math>\angle A = 20^\circ</math>. If <math>BD</math> (<math>D</math> in <math>\overline{AC}</math>)...")
• 01:28, 24 October 2014 (diff | hist) . . (+569)‎ . . N 1986 AHSME Problems/Problem 2 ‎ (Created page with "==Problem== If the line <math>L</math> in the <math>xy</math>-plane has half the slope and twice the <math>y</math>-intercept of the line <math>y = \frac{2}{3} x + 4</math>, the...")
• 01:27, 24 October 2014 (diff | hist) . . (+331)‎ . . N 1986 AHSME Problems/Problem 1 ‎ (Created page with "==Problem== <math>[x-(y-x)] - [(x-y) - x] =</math> <math>\textbf{(A)}\ 2y \qquad \textbf{(B)}\ 2x \qquad \textbf{(C)}\ -2y \qquad \textbf{(D)}\ -2x \qquad \textbf{(E)}\ 0 </mat...")
• 13:04, 23 October 2014 (diff | hist) . . (-1,156)‎ . . m User talk:Timneh ‎ (Blanked the page)
• 12:57, 23 October 2014 (diff | hist) . . (-145)‎ . . m User:Timneh ‎ (Blanked the page) (current)
• 08:03, 23 October 2014 (diff | hist) . . (-46)‎ . . m 1986 AHSME ‎ (→‎See also) (current)
• 07:57, 23 October 2014 (diff | hist) . . (-4)‎ . . m 1987 AHSME Problems ‎
• 07:56, 23 October 2014 (diff | hist) . . (-1)‎ . . m 1987 AHSME Problems/Problem 30 ‎ (→‎Problem)
• 07:55, 23 October 2014 (diff | hist) . . (+1,112)‎ . . N 1987 AHSME Problems/Problem 30 ‎ (Created page with "==Problem== In the figure, <math>\triangle ABC</math> has <math>\angle A =45^{\circ}</math> and <math>\angle B =30^{\circ}</math>. A line <math>DE</math>, with <math>D</math> on...")
• 07:54, 23 October 2014 (diff | hist) . . (+584)‎ . . N 1987 AHSME Problems/Problem 29 ‎ (Created page with "==Problem== Consider the sequence of numbers defined recursively by <math>t_1=1</math> and for <math>n>1</math> by <math>t_n=1+t_{(n/2)}</math> when <math>n</math> is even and...")
• 07:54, 23 October 2014 (diff | hist) . . (+548)‎ . . N 1987 AHSME Problems/Problem 28 ‎ (Created page with "==Problem== Let <math>a, b, c, d</math> be real numbers. Suppose that all the roots of <math>z^4+az^3+bz^2+cz+d=0</math> are complex numbers lying on a circle in the complex pla...")
• 07:53, 23 October 2014 (diff | hist) . . (+475)‎ . . N 1987 AHSME Problems/Problem 27 ‎ (Created page with "==Problem== A cube of cheese <math>C=\{(x, y, z)| 0 \le x, y, z \le 1\}</math> is cut along the planes <math>x=y, y=z</math> and <math>z=x</math>. How many pieces are there? (N...")
• 07:53, 23 October 2014 (diff | hist) . . (+766)‎ . . N 1987 AHSME Problems/Problem 26 ‎ (Created page with "==Problem== The amount <math>2.5</math> is split into two nonnegative real numbers uniformly at random, for instance, into <math>2.143</math> and <math>.357</math>, or into <ma...")
• 07:52, 23 October 2014 (diff | hist) . . (+498)‎ . . N 1987 AHSME Problems/Problem 25 ‎ (Created page with "==Problem== <math>ABC</math> is a triangle: <math>A=(0,0), B=(36,15)</math> and both the coordinates of <math>C</math> are integers. What is the minimum area <math>\triangle ABC...")
• 07:51, 23 October 2014 (diff | hist) . . (+424)‎ . . N 1987 AHSME Problems/Problem 24 ‎ (Created page with "==Problem== How many polynomial functions <math>f</math> of degree <math>\ge 1</math> satisfy <math>f(x^2)=[f(x)]^2=f(f(x))</math> ? <math>\textbf{(A)}\ 0 \qquad \textbf{(B)}\...")
• 07:51, 23 October 2014 (diff | hist) . . (0)‎ . . m 1987 AHSME Problems/Problem 23 ‎ (→‎See also)
• 07:50, 23 October 2014 (diff | hist) . . (+402)‎ . . N 1987 AHSME Problems/Problem 23 ‎ (Created page with "==Problem== If <math>p</math> is a prime and both roots of <math>x^2+px-444p=0</math> are integers, then <math>\textbf{(A)}\ 1<p\le 11 \qquad \textbf{(B)}\ 11<p \le 21 \qquad \...")
• 07:50, 23 October 2014 (diff | hist) . . (+512)‎ . . N 1987 AHSME Problems/Problem 22 ‎ (Created page with "==Problem== A ball was floating in a lake when the lake froze. The ball was removed (without breaking the ice), leaving a hole <math>24</math> cm across as the top and <math>8<...")
• 07:49, 23 October 2014 (diff | hist) . . (+985)‎ . . N 1987 AHSME Problems/Problem 21 ‎ (Created page with "==Problem== There are two natural ways to inscribe a square in a given isosceles right triangle. If it is done as in Figure 1 below, then one finds that the area of the square...")

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