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  • ...ne less than a perfect square. What is the remainder when the 1994th term of the sequence is divided by 1000? ...ler circle, and the smaller circle outside <math>ABCD\,</math>. The length of <math>\overline{AB}\,</math> can be written in the form <math>m + \sqrt{n}\
    7 KB (1,141 words) - 06:37, 7 September 2018
  • ...are positive integers and <math>s\,</math> is not divisible by the square of any prime. What is <math>q+r+s\,</math>? ...gle APB, \angle BPC, \angle CPA > 90^{\circ}</math>; the [[locus]] of each of the respective conditions for <math>P</math> is the region inside the (semi
    4 KB (717 words) - 21:20, 3 June 2021
  • ...s <math>2</math> greater than <math>p</math>. What is the arithmetic mean of the two primes in the smallest twin prime pair? <math>\mathrm{(A)}\, 4</math>
    30 KB (4,794 words) - 22:00, 8 May 2024
  • ...ng the four letters in AIME or the four digits in <math>2007</math>. A set of plates in which each possible sequence appears exactly once contains N lice ...of <math>b</math>, <math>a</math> is a factor of <math>c</math>, and <math>a+b+c=100</math>.
    9 KB (1,435 words) - 00:45, 6 December 2021
  • {{AMC12 Problems|year=2007|ab=A}} ...h> discount. Pam buys <math>5</math> tickets using a coupon that gives her a <math>30\%</math> discount. How many more dollars does Pam pay than Susan?
    11 KB (1,750 words) - 12:35, 15 April 2022
  • The following is a list of [[PMWC]] problems from the year 2005 ...erent four-digit positive integers (natural numbers) and <math>c</math> is a five-digit positive integer (natural number)ems/Problem I2|Solution]]
    9 KB (1,449 words) - 19:49, 2 October 2020
  • ...nd 88 on her first three mathematics examinations. If Kim receives a score of 90 on the fourth exam, then her average will <math> \mathrm{(A) \ \text{remain the same} } \qquad \mathrm{(B) \ \text{increase by 1} } \qq
    17 KB (2,387 words) - 21:44, 26 May 2021
  • ...After these students are joined by <math>20</math> more boy students, all of whom like to dance, the party is now <math>58\%</math> girls. How many stud ...square <math>AIME</math> is <math>80</math> square units. Find the length of the altitude to <math>EM</math> in <math>\triangle GEM</math>.
    9 KB (1,536 words) - 23:46, 25 August 2023
  • ...s as a Renewable Energy Engineer for the Southern Company, and Hannah runs a lab at Jupiter Falls University where she researches biomass (renewable fue When the Kubiks went on vacation to San Diego last year, they spent a day at the San Diego Zoo.
    71 KB (11,749 words) - 11:39, 20 November 2024
  • \textbf{(A)}\ -20,000 ...>45</math> minutes and the second meeting took twice as long. What percent of her work day was spent attending meetings?
    12 KB (1,817 words) - 17:33, 27 August 2024
  • ...h> are positive integers and <math>n</math> is not divisible by the square of any prime. Find <math>m + n</math>. label("$A$",(-16.43287,-9.3374),NE/2);
    10 KB (1,418 words) - 22:05, 20 October 2021
  • ...the remainder, or pick one lemming and purge it. Find the smallest number of steps necessary to remove all 2010 lemmings. ...ings by using groups of 5. Then, we can use groups of 3 followed by groups of 5 to reduce it to 5 less. We can repeat this step again, and we will end up
    36 KB (6,214 words) - 19:22, 13 July 2023
  • <math> \mathrm{(A)\ } 15 \qquad \mathrm{(B) \ }16 \qquad \mathrm{(C) \ } 17 \qquad \mathrm{( ...l angle <math>\usepackage{gensymb} 60\degree</math>. What is the perimeter of the monster in cm?
    17 KB (2,488 words) - 02:26, 20 March 2024
  • ...l angle <math>\usepackage{gensymb} 60\degree</math>. What is the perimeter of the monster in cm? ...qquad \mathrm{(D) \ } \frac{5}{6}\pi+2 \qquad \mathrm{(E) \ }\frac{5}{3}\pi+2 </math>
    1 KB (181 words) - 17:35, 19 March 2024
  • <math>24_{x}=18_{10}</math>. What is the value of <math>x</math>? (Proposed by SP343) What is the value of <math>320_{4}+10_{2}</math> in base <math>8</math>? (Proposed by SP343)
    15 KB (2,444 words) - 20:46, 1 January 2012
  • ...hem at <math>5</math> for <math>20</math> cents. In order to make a profit of \$ <math>1.00</math>, he must sell: <math>\textbf{(A)}\ 67 \text{ oranges} \qquad
    21 KB (3,123 words) - 13:24, 20 February 2020
  • ...bout its center. What is the area of the region swept out by the interior of the square? ...qrt2}{2} + \frac{\pi}{4} \qquad\textbf{(E)}\ 1 + \frac{\sqrt2}{4} + \frac{\pi}{8} </math>
    4 KB (701 words) - 16:55, 23 July 2021
  • {{AMC10 Problems|year=2014|ab=A}} <math> \textbf{(A)}\ 3\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ \frac{25}{2}\qquad\textbf{(D)}
    15 KB (2,190 words) - 15:54, 28 July 2024
  • ...ate a new shape with area <math>B</math>. What is the ratio <math>\frac{B}{A}</math>? pair A = (0,0);
    4 KB (608 words) - 21:38, 4 November 2024
  • A chord which is the perpendicular bisector of a radius of length 12 in a circle, has length ...f{(C)}\ 6\sqrt3\qquad\textbf{(D)}\ 12\sqrt3\qquad\textbf{(E)}\ \text{ none of these} </math>
    18 KB (2,788 words) - 18:25, 22 August 2024

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