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  • ...k contains the full set of test problems. The rest contain each individual problem and its solution. ** [[2002 Pan African MO Problems/Problem 1]]
    581 bytes (73 words) - 13:47, 4 December 2019
  • == Problem == <math> \textbf{(A) } \frac{1}{10}\qquad \textbf{(B) } \frac{1}{6}\qquad \textbf{(C) } \frac{1}{5}\qquad \textbf{(D) } \frac{1}{3}\qquad \tex
    1 KB (211 words) - 04:32, 4 November 2022
  • == Problem == Note: The problem is much easier computed if we consider what <math>\sec (x)</math> is, then
    10 KB (1,590 words) - 14:04, 20 January 2023
  • == Problem == Clearly, the sequence repeats every 6 terms.
    1 KB (158 words) - 01:33, 29 May 2023
  • == Problem == ...ath>(\pm1,\pm144),( \pm 2, \pm 72),( \pm 3, \pm 48),( \pm 4, \pm 36),( \pm 6, \pm 24),( \pm 8, \pm 18),( \pm 9, \pm 16),( \pm 12, \pm 12)</math>; since
    2 KB (310 words) - 11:25, 13 June 2023
  • == Problem == {{AIME box|year=1991|num-b=6|num-a=8}}
    2 KB (285 words) - 05:15, 13 June 2022
  • == Problem == {{AIME box|year=1991|num-b=4|num-a=6}}
    919 bytes (141 words) - 20:00, 4 July 2022
  • == Problem == ...<math>-1 \le y \le 1</math>. It is [[periodic function|periodic]] (in this problem) with a period of <math>\frac{2}{5}</math>.
    2 KB (300 words) - 16:01, 26 November 2019
  • == Problem == ...st going to be equivalent to multiplying this fraction by <math>\frac{995}{6}</math>. Notice that this fraction's numerator plus denominator is equal to
    5 KB (865 words) - 12:13, 21 May 2020
  • == Problem == ...g this inequality may be found by Stars and Bars to be <math>\binom{7+6-1}{6-1} = \boxed{792}</math>.
    2 KB (443 words) - 22:41, 22 December 2021
  • == Problem == ...> is irrelevant as long as there still exists a circle as described in the problem.
    5 KB (874 words) - 10:27, 22 August 2021
  • == Problem == ...means <math>A</math> looks like <math>(a_1,a_1+k,a_1+2k+1,a_1+3k+3,a_1+4k+6,...)</math>. More specifically, <math>A_n=a_1+k(n-1)+\frac{(n-1)(n-2)}{2}</
    5 KB (778 words) - 21:36, 3 December 2022
  • == Problem == {{AIME box|year=1992|num-b=6|num-a=8}}
    800 bytes (114 words) - 17:40, 14 March 2017
  • == Problem == ...math>h+d\ge 10</math> or <math>c+g\ge 10</math> or <math>b+f\ge 10</math>. 6. Consider <math>c \in \{0, 1, 2, 3, 4\}</math>. <math>1abc + 1ab(c+1)</mat
    3 KB (455 words) - 02:03, 10 July 2021
  • == Problem == {{AIME box|year=1992|num-b=4|num-a=6}}
    2 KB (277 words) - 20:45, 4 March 2024
  • == Problem == \text{Row 4: } & & & 1 & & 4 & & 6 & & 4 & & 1 & & \\\vspace{4pt}
    3 KB (476 words) - 14:13, 20 April 2024
  • == Problem == ...math>1000n+3000>1006n+2012</math>, so <math>n<\frac{988}{6}=164 \dfrac {4}{6}=164 \dfrac{2}{3}</math>. Thus, the answer is <math>\boxed{164}</math>.
    2 KB (251 words) - 08:05, 2 January 2024
  • == Problem == ...ntial ascending numbers, one for each [[subset]] of <math>\{1, 2, 3, 4, 5, 6, 7, 8, 9\}</math>.
    2 KB (336 words) - 05:18, 4 November 2022
  • == Problem == \qquad \mathrm{(C) \ } \pi(2-\sqrt{3})\qquad \mathrm{(D) \ } \frac{\pi}{6}+\frac{\sqrt{3}+1}{2}\qquad \mathrm{(E) \ } \frac{\pi}{3}-1+\sqrt{3} </math
    5 KB (873 words) - 15:39, 29 May 2023
  • == Problem == In rectangle <math>ABCD</math>, we have <math>A=(6,-22)</math>, <math>B=(2006,178)</math>, <math>D=(8,y)</math>, for some inte
    4 KB (594 words) - 15:45, 30 July 2023

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