9 November 2013

• 22:0922:09, 9 November 2013 diff hist +39 1962 AHSME No edit summary
• 22:0622:06, 9 November 2013 diff hist +118 1962 AHSME →See also
• 22:0322:03, 9 November 2013 diff hist +474 N 1962 AHSME Problems/Problem 30 Created page with "==Problem== Consider the statements: <math> \textbf{(1)}\ \text{p and q are both true}\qquad\textbf{(2)}\ \text{p is true and q is false}\qquad\textbf{(3)}\ \text{p is false a..."
• 22:0222:02, 9 November 2013 diff hist +26 1962 AHSME Problems/Problem 29 →Problem
• 22:0222:02, 9 November 2013 diff hist +321 N 1962 AHSME Problems/Problem 29 Created page with "==Problem== Which of the following sets of x-values satisfy the inequality 2x^2 + x < 6? <math> \textbf{(A)}\ -2 < x <\frac{3}{2}\qquad\textbf{(B)}\ x >\frac{3}2\text{ or }x <-..."
• 21:5821:58, 9 November 2013 diff hist +15 1962 AHSME Problems/Problem 7 →Problem
• 21:5621:56, 9 November 2013 diff hist +2 1962 AHSME Problems/Problem 27 →Problem
• 21:5621:56, 9 November 2013 diff hist +4 1962 AHSME Problems/Problem 23 →Problem
• 21:5521:55, 9 November 2013 diff hist +15 1962 AHSME Problems/Problem 22 →Problem
• 21:5521:55, 9 November 2013 diff hist +365 N 1962 AHSME Problems/Problem 28 Created page with "==Problem== The set of <math>x</math>-values satisfying the equation <math>x^{\log_{10} x} = \frac{x^3}{100}</math> consists of: <math> \textbf{(A)}\ \frac{1}{10}\qquad\textbf{..."
• 21:5521:55, 9 November 2013 diff hist +710 N 1962 AHSME Problems/Problem 27 Created page with "==Problem== Let <math>a @ b</math> represent the operation on two numbers, <math>a</math> and <math>b</math>, which selects the larger of the two numbers, with <math>a@a = a</mat..."
• 21:5521:55, 9 November 2013 diff hist +257 N 1962 AHSME Problems/Problem 26 Created page with "==Problem== For any real value of <math>x</math> the maximum value of <math>8x - 3x^2</math> is: <math> \textbf{(A)}\ 0\qquad\textbf{(B)}\ \frac{8}3\qquad\textbf{(C)}\ 4\qquad\..."
• 21:5521:55, 9 November 2013 diff hist +376 N 1962 AHSME Problems/Problem 25 Created page with "==Problem== Given square <math>ABCD</math> with side <math>8</math> feet. A circle is drawn through vertices <math>A</math> and <math>D</math> and tangent to side <math>BC</math>..."
• 21:5521:55, 9 November 2013 diff hist +512 N 1962 AHSME Problems/Problem 24 Created page with "==Problem== Three machines <math>\text{P, Q, and R,}</math> working together, can do a job in <math>x</math> hours. When working alone, <math>\text{P}</math> needs an additional ..."
• 21:5521:55, 9 November 2013 diff hist +682 N 1962 AHSME Problems/Problem 23 Created page with "==Problem== In triangle <math>ABC</math>, <math>CD</math> is the altitude to <math>AB</math> and <math>AE</math> is the altitude to <math>BC</math>. If the lengths of <math>AB</m..."
• 21:5521:55, 9 November 2013 diff hist +351 N 1962 AHSME Problems/Problem 22 Created page with "==Problem== The number <math>121_b</math>, written in the integral base <math>b</math>, is the square of an integer, for <math> \textbf{(A)}\ b = 10,\text{ only}\qquad\textbf{(..."
• 21:5421:54, 9 November 2013 diff hist +358 N 1962 AHSME Problems/Problem 21 Created page with "==Problem== It is given that one root of <math>2x^2 + rx + s = 0</math>, with <math>r</math> and <math>s</math> real numbers, is <math>3+2i (i = \sqrt{-1})</math>. The value of <..."
• 21:4521:45, 9 November 2013 diff hist +1 1962 AHSME Problems/Problem 20 →=Problem
• 21:4521:45, 9 November 2013 diff hist +254 N 1962 AHSME Problems/Problem 20 Created page with "==Problem= The angles of a pentagon are in arithmetic progression. One of the angles in degrees, must be: <math> \textbf{(A)}\ 108\qquad\textbf{(B)}\ 90\qquad\textbf{(C)}\ 72\..."
• 21:4521:45, 9 November 2013 diff hist +341 N 1962 AHSME Problems/Problem 19 Created page with "==Problem== If the parabola <math>y = ax^2 + bx + c</math> passes through the points <math>( - 1, 12)</math>, <math>(0, 5)</math>, and <math>(2, - 3)</math>, the value of <math>a..."
• 21:4521:45, 9 November 2013 diff hist +354 N 1962 AHSME Problems/Problem 18 Created page with "==Problem== A regular dodecagon (<math>12</math> sides) is inscribed in a circle with radius <math>r</math> inches. The area of the dodecagon, in square inches, is: <math> \tex..."
• 21:4521:45, 9 November 2013 diff hist +302 N 1962 AHSME Problems/Problem 17 Created page with "==Problem== If <math>a = \log_8 225</math> and <math>b = \log_2 15</math>, then <math>a</math>, in terms of <math>b</math>, is: <math> \textbf{(A)}\ \frac{b}{2}\qquad\textbf{(B..."
• 21:4521:45, 9 November 2013 diff hist +468 N 1962 AHSME Problems/Problem 16 Created page with "==Problem== Given rectangle <math>R_1</math> with one side <math>2</math> inches and area <math>12</math> square inches. Rectangle <math>R_2</math> with diagonal <math>15</math> ..."
• 21:4521:45, 9 November 2013 diff hist +446 N 1962 AHSME Problems/Problem 15 Created page with "==Problem== Given triangle <math>ABC</math> with base <math>AB</math> fixed in length and position. As the vertex <math>C</math> moves on a straight line, the intersection point ..."
• 21:4521:45, 9 November 2013 diff hist +377 N 1962 AHSME Problems/Problem 14 Created page with "==Problem== Let <math>s</math> be the limiting sum of the geometric series <math>4- \frac83 + \frac{16}{9} - \dots</math>, as the number of terms increases without bound. Then <m..."
• 21:3721:37, 9 November 2013 diff hist +120 1962 AHSME Problems/Problem 13 →Problem
• 21:3621:36, 9 November 2013 diff hist +299 N 1962 AHSME Problems/Problem 13 Created page with "==Problem== <math>R</math> varies directly as <math>S</math> and inverse as <math>T</math>. When <math>R = \frac{4}{3}</math> and <math>T = \frac {9}{14}</math>, <math>S = \frac3..."
• 21:3521:35, 9 November 2013 diff hist +268 N 1962 AHSME Problems/Problem 12 Created page with "==Problem== When <math>\left ( 1 - \frac{1}{a} \right ) ^6</math> is expanded the sum of the last three coefficients is: <math> \textbf{(A)}\ 22\qquad\textbf{(B)}\ 11\qquad\text..."
• 21:3421:34, 9 November 2013 diff hist +263 N 1962 AHSME Problems/Problem 11 Created page with "==Problem== The difference between the larger root and the smaller root of <math>x^2 - px + (p^2 - 1)/4 = 0</math> is: <math> \textbf{(A)}\ 0\qquad\textbf{(B)}\ 1\qquad\textbf..."
• 21:3321:33, 9 November 2013 diff hist +517 N 1962 AHSME Problems/Problem 10 Created page with "==Problem== A man drives <math>150</math> miles to the seashore in <math>3</math> hours and <math>20</math> minutes. He returns from the shore to the starting point in <math>4</m..."
• 21:3221:32, 9 November 2013 diff hist +317 N 1962 AHSME Problems/Problem 9 Created page with "==Problem== When <math>x^9-x</math> is factored as completely as possible into polynomials and monomials with integral coefficients, the number of factors is: <math> \textbf{(A..."
• 21:3121:31, 9 November 2013 diff hist 0 1962 AHSME Problems/Problem 8 →Problem
• 21:3121:31, 9 November 2013 diff hist +420 N 1962 AHSME Problems/Problem 8 Created page with "==Problem== Given the set of n<math></math> numbers; <math>n > 1</math>, of which one is <math>1 - \frac {1}{n}</math> and all the others are <math>1</math>. The arithmetic mean..."
• 21:2921:29, 9 November 2013 diff hist −1 1962 AHSME Problems/Problem 7 →Problem
• 21:2821:28, 9 November 2013 diff hist 0 1962 AHSME Problems/Problem 7 →Problem
• 21:2721:27, 9 November 2013 diff hist +402 N 1962 AHSME Problems/Problem 7 Created page with "==Problem== Let the bisectors of the exterior angles at <math>B</math> and <math>C</math> of triangle <math>ABC</math> meet at D<math>.</math> Then, if all measurements are in de..."
• 21:2621:26, 9 November 2013 diff hist +394 N 1962 AHSME Problems/Problem 6 Created page with "==Problem== A square and an equilateral triangle have equal perimeters. The area of the triangle is <math>9 \sqrt{3}</math> square inches. Expressed in inches the diagonal of the..."
• 21:2521:25, 9 November 2013 diff hist +316 N 1962 AHSME Problems/Problem 5 Created page with "==Problem== If the radius of a circle is increased by <math>1</math> unit, the ratio of the new circumference to the new diameter is: <math> \textbf{(A)}\ \pi+2\qquad\textbf{(..."
• 21:2421:24, 9 November 2013 diff hist +235 N 1962 AHSME Problems/Problem 4 Created page with "==Problem== If <math>8^x = 32</math>, then x equals: <math> \textbf{(A)}\ 4\qquad\textbf{(B)}\ \frac{5}{3}\qquad\textbf{(C)}\ \frac{3}{2}\qquad\textbf{(D)}\ \frac{3}{5}\qquad\..."
• 21:2321:23, 9 November 2013 diff hist +40 1962 AHSME Problems/Problem 3 No edit summary
• 21:2321:23, 9 November 2013 diff hist +40 1962 AHSME Problems/Problem 2 No edit summary
• 21:2221:22, 9 November 2013 diff hist +27 1962 AHSME Problems/Problem 1 →Problem
• 21:2021:20, 9 November 2013 diff hist +13 1962 AHSME Problems/Problem 1 No edit summary
• 21:1721:17, 9 November 2013 diff hist +264 N 1962 AHSME Problems/Problem 3 Created page with "The first three terms of an arithmetic progression are <math>x - 1, x + 1, 2x + 3</math>, in the order shown. The value of x is: <math> \textbf{(A)}\ -2\qquad\textbf{(B)}\ 0\qq..."
• 21:1621:16, 9 November 2013 diff hist +267 N 1962 AHSME Problems/Problem 2 Created page with "The expression <math>\sqrt{\frac{4}{3}} - \sqrt{\frac{3}{4}</math> is equal to: <math> \textbf{(A)}\ \frac{\sqrt{3}}{6}\qquad\textbf{(B)}\ \frac{-\sqrt{3}}{6}\qquad\textbf{(C)}..."
• 21:1521:15, 9 November 2013 diff hist −65 1962 AHSME Problems/Problem 1 No edit summary
• 21:1421:14, 9 November 2013 diff hist +298 N 1962 AHSME Problems/Problem 1 Created page with "The expression <math>\frac{1^{4y-1}}{5^{-1}+3^{-1}}</math> is equal to: <math>\textbf{(A)}\ \frac{4y-1}{8} \qquad</math> <math>\textbf{(B)}\ 8 \qquad</math> <math>\textbf{(C)}\..."
• 20:0420:04, 9 November 2013 diff hist +308 m 2012 AMC 8 Problems/Problem 24 →Solution
• 19:3819:38, 9 November 2013 diff hist +925 2012 AMC 8 Problems/Problem 23 →Solution
• 19:2819:28, 9 November 2013 diff hist +872 2012 AMC 8 Problems/Problem 16 →Solution