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  • Here is a list of '''Olympiad Books''' that have Olympiad-level problems used to train students for future [[mathematics]] competition ...ric/dp/1794193928/ref=tmm_pap_swatch_0?_encoding=UTF8&qid=1556093238&sr=1-1-catcorr Advanced Olympiad Inequalities: Algebraic & Geometric Olympiad Inequ
    17 KB (2,261 words) - 00:30, 22 April 2024
  • {{AMC12 box|year=2007|ab=B|num-b=11|num-a=13}} {{AMC10 box|year=2007|ab=B|num-b=15|num-a=17}}
    1 KB (236 words) - 17:11, 6 July 2023
  • 9 KB (1,228 words) - 21:47, 26 February 2022
  • 879 bytes (145 words) - 23:17, 7 June 2011
  • 1 KB (215 words) - 22:55, 10 June 2011
  • {| class="wikitable" style="text-align:center;width:100%" | [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9572 1-5]
    18 KB (2,206 words) - 19:41, 24 December 2020
  • :This likely to be because of zoom-in area. Please make sure your zoom level is at 100% or is reset for correct ...sers can go [https://www.windowscentral.com/how-manage-time-servers-windows-10 here.] You can also check [http://www.time.gov the US official time] whic
    25 KB (4,184 words) - 21:16, 13 May 2024
  • Blake and Jenny each took four 100-point tests. Blake averaged 78 on the four tests. Jenny scored 10 points hig When a fair six-sided die is tossed on a table top, the bottom face cannot be seen. What is
    16 KB (2,236 words) - 12:02, 19 February 2024
  • ...\text{ if }x_{k-1}=0\\ \left\{\frac{p_{k}}{x_{k-1}}\right\}&\text{ if }x_{k-1}\ne0\end{cases} </math>
    3 KB (507 words) - 14:31, 12 April 2023
  • <cmath>a_n\ge a_{n-1}+a_1\ge (a_{n-2}+a_1)+a_1\ge \cdots \ge na_1.</cmath> <cmath>a_k\le a_{k-1}+(a_1+1)\le (a_{k-2}+(a_1+1))+(a_1+1)\le\cdots\le ka_1+(k-1).</cmath>
    6 KB (1,107 words) - 14:12, 12 April 2023
  • Let <math>f : \mathbb{R} \rightarrow \mathbb{R}</math> be a real-valued function defined on the set of real numbers that satisfies ...a balance and <math>n</math> weights of weight <math>2^0, 2^1,\ldots, 2^{n-1}</math> . We are to place each of the <math>n</math> weights on the balanc
    4 KB (682 words) - 00:12, 18 February 2021
  • .../math> isn't a good couple. We have in total 6 couples. So <math>n_A \leq 6-2=4</math>. ...So we have <math>2a+x | 2a+2b</math> and <math>a+b-x|2a+2b \Rightarrow a+b-x|2x</math>.
    9 KB (1,718 words) - 23:08, 26 June 2014
  • ...olutions to <math>(m^2+n)(m + n^2)= (m - n)^3</math>, where m and n are non-zero integers. ...ctors of <math>\Delta ABC</math> form a right-angled triangle. If the right-angle is at <math>X</math>, where <math>AX</math> is the bisector of <math>\
    2 KB (356 words) - 18:42, 18 July 2016
  • {{AMC8 box|year=2002|num-b=14|num-a=16}}
    1 KB (197 words) - 04:47, 25 November 2019
  • ...ake an underestimate by using the current diagram. All triangles are right-isosceles triangles. {{AMC8 box|year=1999|num-b=24|after=Last Question}}
    4 KB (655 words) - 05:21, 12 March 2024
  • {{AJHSME box|year=1997|num-b=11|num-a=13}}
    1 KB (188 words) - 12:37, 2 May 2021
  • ...do not contain <math>k, m</math>. Because the latter subset has <math>(n-t-2) < (n+1)-t - 1</math> elements, we may use infinite descent to contradict {{USAMO box|year=1979|num-b=4|after=Last Question}}
    2 KB (410 words) - 21:04, 11 November 2015
  • {{AMC8 box|year=2003|num-b=17|num-a=19}}
    2 KB (250 words) - 22:17, 5 January 2024
  • Now we multiply <math>S</math> by <math>1-w</math>: <cmath>S(1-w)=\sum_{i=1}^{9}\sum_{j=i}^{9} w^j(1-w)</cmath>
    3 KB (447 words) - 21:21, 17 July 2020
  • ...ame as <math>a(b-c)</math> in ordinary algebraic notation. If <math>a\div b-c+d</math> is evaluated in such a language, the result in ordinary algebraic ...\qquad \mathrm{(D) \ } \frac{a}{b-c+d} \qquad \mathrm{(E) \ }\frac{a}{b-c-d} </math>
    17 KB (2,488 words) - 03:26, 20 March 2024

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