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• 1996 AHSME Problems
  ...-\pi\qquad\text{(C)}\ \frac{\pi} 2\qquad\text{(D)}\ \pi\qquad\text{(E)}\ 2\pi </math> Two opposite sides of a rectangle are each divided into <math>n</math> congruen
  15 KB (2,343 words) - 13:39, 19 February 2020
• 1992 AJHSME Problems/Problem 24
  ...e, which is <math>9\pi</math>. The area of the shaded region is <math>36-9\pi</math> which less than <math>36-9(3)=9</math>, closest to <math>\boxed{\tex
  1 KB (191 words) - 00:10, 5 July 2013
• 1950 AHSME Problems
  If the digit <math>1</math> is placed after a two digit number whose tens' digit is <math>t</math>, and units' digit is <math Two boys <math>A</math> and <math>B</math> start at the same time to ride from
  22 KB (3,306 words) - 19:50, 3 May 2023
• 1985 AHSME Problems
  ...qquad \mathrm{(D) \ } \frac{5}{6}\pi+2 \qquad \mathrm{(E) \ }\frac{5}{3}\pi+2 </math> ...h> unit apart both horizontally and vertically. A rubber band is stretched over <math>4</math> pegs as shown in the figure, forming a quadrilateral. Its ar
  17 KB (2,488 words) - 03:26, 20 March 2024
• 1985 AHSME Problems/Problem 2
  ...qquad \mathrm{(D) \ } \frac{5}{6}\pi+2 \qquad \mathrm{(E) \ }\frac{5}{3}\pi+2 </math> .... Hence the total perimeter in cm is <math>\boxed{\text{(E)} \ \frac{5}{3}\pi+2}</math>.
  1 KB (181 words) - 18:35, 19 March 2024
• 2010 AMC 8 Problems
  ...ath>16</math> feet higher than the top of another tree. The heights of the two trees are in the ratio <math>3:4</math>. In feet, how tall is the taller tr ...\pi} \qquad\textbf{(C)}\ \pi \qquad\textbf{(D)}\ 2\pi \qquad\textbf{(E)}\ \pi^{2}</math>
  18 KB (2,768 words) - 21:05, 9 January 2024
• 2011 AMC 8 Problems/Problem 25
  ...s closest to the ratio of the circle's shaded area to the area between the two squares? ...area of the smaller square subtracted from the area of the circle: <math>\pi - 2.</math>
  3 KB (511 words) - 07:47, 22 May 2023
• Mathtime Version 1 Issue 2
  ...r with a tight rope. The rope is tight so that there is no extra rope left over when bound around the four circles. If the radius of a circle is <math>5</m Two triangles are combined together with overlap so that the Star of David is f
  15 KB (2,444 words) - 21:46, 1 January 2012
• 1950 AHSME Problems/Problem 34
  ...qquad \textbf{(D)}\ \dfrac{5}{2\pi}\text{ in} \qquad \textbf{(E)}\ \dfrac{\pi}{5}\text{ in}</math> ...(or else the ratio of the circumference to the diameter wouldn't be <math>\pi</math> anymore)
  2 KB (313 words) - 22:24, 24 December 2023
• 1971 Canadian MO Problems/Problem 9
  Two flag poles of height <math>h</math> and <math>k</math> are situated <math>2 ...l Angles. In effect, we can construct our desired point P by reflecting H' over IJ and finding the intersection of H'K and IJ. Therefore, there is only one
  1 KB (204 words) - 18:09, 19 September 2012
• 1989 AHSME Problems
  A square is cut into three rectangles along two lines parallel to a side, as shown. If the perimeter of each of the three r ...<math>100</math> does <math> x^{2}+x-n </math> factor into the product of two linear factors with integer coefficients?
  15 KB (2,247 words) - 13:44, 19 February 2020
• 2012 AMC 10A Problems
  A square with side length <math>8</math> is cut in half, creating two congruent rectangles. What are the dimensions of one of these rectangles? ...>4</math> times the reciprocal of the other number. What is the sum of the two numbers?
  13 KB (1,994 words) - 01:31, 22 December 2023
• 2012 AMC 12A Problems
  ...way. Arrange the five numbers in some order. Find the mean of the first two numbers, then find the mean of that with the third number, then the mean of ...as Chelsea. What is the probability that Alex wins three rounds, Mel wins two rounds, and Chelsea wins one round?
  14 KB (2,197 words) - 13:34, 12 August 2020
• 2012 AMC 12A Problems/Problem 16
  ...math> has its center <math>O</math> lying on circle <math>C_2</math>. The two circles meet at <math>X</math> and <math>Y</math>. Point <math>Z</math> in ...angle{OZY} \cong \angle{OZX}</math>, this is a system of two equations and two variables. Solving for <math>r</math> gives <math>r = \sqrt{30}</math>. <ma
  9 KB (1,496 words) - 02:40, 2 October 2022
• 1989 AHSME Problems/Problem 28
  ...\tan^2x-9\tan x+1=0</math> that are between <math>x=0</math> and <math>x=2\pi</math> radians. ...mathrm{(C) \frac{3\pi}{2} } \qquad \mathrm{(D) 3\pi } \qquad \mathrm{(E) 4\pi } </math>
  2 KB (282 words) - 21:14, 2 March 2019
• 1989 AHSME Problems/Problem 19
  ...uad \mathrm{(D) \frac{9}{\pi^2}(\sqrt{3}-1) } \qquad \mathrm{(E) \frac{9}{\pi^2}(\sqrt{3}+3) } </math> ...ac{6}{\pi}</math> for <math>r</math> and evaluating yields <math>\frac{9}{\pi^2}(\sqrt{3}+3)\implies{\boxed{E}}</math>.
  4 KB (649 words) - 10:04, 20 May 2021
• 2012 AMC 10B Problems
  ...y bags as possible, with 6 marbles per bag. How many marbles will be left over? ...e integers are added to the first two integers the sum is 41. Finally when two more integers are added to the sum of the previous four integers the sum is
  18 KB (2,350 words) - 18:48, 9 July 2023
• 2012 AMC 12B Problems/Problem 15
  ...along 2 radii to form 2 sectors, one with a central angle of 120. He makes two circular cones using each sector to form the lateral surface of each cone. ...h>, and the larger is <math>16\pi</math>. Those two arc lengths become the two circumferences of the new cones; so the radius of the smaller cone is <math
  2 KB (259 words) - 13:42, 2 September 2020
• 2010 AMC 8 Problems/Problem 19
  ...erline{AD}</math> has length <math>16</math>. What is the area between the two circles? ...quad\textbf{(C)}\ 64 \pi\qquad\textbf{(D)}\ 81 \pi\qquad\textbf{(E)}\ 100 \pi </math>
  2 KB (279 words) - 09:04, 10 March 2023
• 2012 AMC 10B Problems/Problem 21
  ...)}\ 2\qquad\textbf{(C)}\ \sqrt{5}\qquad\textbf{(D)}\ 3\qquad\textbf{(E)}\ \pi</math> ...gle inequality: <math>b<2a</math>. The only answer choice that holds these two inequalities is: <math>\sqrt{3}</math>.
  3 KB (432 words) - 20:18, 23 October 2021

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