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• 2021 Fall AMC 10B Problems/Problem 25
  label("$6a-3c$",(9,81/8),N); label("$4a-c$",(81/8,9),E);
  16 KB (2,274 words) - 09:02, 10 December 2022
• 2021 Fall AMC 10A Problems/Problem 17
  ===Three-Dimensional Diagram=== ===Two-Dimensional Diagram===
  10 KB (1,705 words) - 00:13, 17 July 2023
• 2021 Fall AMC 12A Problems/Problem 16
  <ol style="margin-left: 1.5em;"> <ul style="list-style-type:square, margin-left: 3em;">
  4 KB (606 words) - 22:19, 2 January 2024
• 2020 CIME II Problems
  ...by a nonmember of the oligarchy, find the maximum possible value of <math>B-A</math>. Let <math>f(x)=x^2-2</math>. There are <math>N</math> real numbers <math>x</math> such that <cm
  8 KB (1,298 words) - 18:32, 7 January 2021
• 2004 Pan African MO Problems/Problem 6
  {{Pan African MO box|year=2004|num-b=5|after=Last Problem}}
  3 KB (572 words) - 13:48, 27 May 2024
• 2019 CIME I Problems/Problem 9
  .../math> number not in the sequence<math>,</math> then <math>(a_i-b_{ij})(a_j-b_{ij})<0.</math> {{CIME box|year=2019|n=I|num-b=8|num-a=10}}
  676 bytes (107 words) - 16:28, 6 October 2020
• 2020 AMC 8 Problems
  //++++ edit colors, names are self-explainatory ++++ ...data[i])--((i+1)*r,0)--((i+1)*r, data[i])--((i+2)*r-100, data[i])--((i+2)*r-100,0)--cycle, 1.5*grey);
  20 KB (2,925 words) - 00:08, 30 May 2024
• 2020 INMO Problems/Problem 3
  ...ise is when <math>n=10^k</math> or <math>n=7 \cdot 10^k</math> for some non-negative integer <math>k</math>. We take <math>N=11</math>. Then <math>k \ge
  4 KB (713 words) - 03:22, 22 September 2023
• 2020 INMO Problems/Problem 4
  ...+\dots+a_n=2n</math>. Prove that<cmath>a_1a_2\dots a_{n-1}+a_1a_2\dots a_{n-2}+\dots+a_1a_2+a_1+2 \leqslant a_1a_2\dots a_n.</cmath> ...< a_1 \le a_2</math>. This is equivalent to showing that <math>(a_1-1)(a_1-2) \le 0</math>, which is true.
  3 KB (640 words) - 13:34, 5 November 2020
• 2020 INMO Problems/Problem 6
  ...h> rectangle. Show that a <math>5 \times 5</math> board divided into twenty-five <math>1 \times 1</math> squares cannot be covered by <math>16</math> st ...ly once and <math>25-x</math> unit square covered twice . So, <math>x+2(25-x) =16\times 3=48</math>.
  2 KB (310 words) - 13:55, 5 November 2020
• 2020 AMC 8 Problems/Problem 11
  ...calculation, Maya's speed is <math>12</math> mph, so the answer is <math>36-12 = \boxed{\textbf{(E) }24}</math>. ...\cdot 2 = 12</math> miles per hour. The difference is consequently <math>36-12=\boxed{\textbf{(E) }24}</math>.
  3 KB (395 words) - 16:34, 26 January 2024
• 2020 AMC 8 Problems/Problem 21
  ...ditional columns to the right, as shown below. The red line shows the right-hand edge of the original board. ...the number of valid paths from <math>P</math> to <math>Q</math> is <math>35-7 = \boxed{\textbf{(A) }28}</math>.
  7 KB (1,170 words) - 22:50, 19 January 2024
• 2020 USAMO Problems/Problem 4
  <cmath>|a_1b_2-a_2b_1| = 1</cmath> <cmath>a_1b_2-a_2b_1 = 1</cmath>
  5 KB (933 words) - 12:40, 18 June 2023
• 2013 Mock AIME I Problems
  ...<math>b</math>, <math>b+1</math> evenly divides <math>c</math>, and <math>c-a=10</math>. ...th> and <math>\textbf{v}</math> be two perpendicular vectors in the <math>x-y</math> plane. If there are <math>n</math> vectors <math>\textbf{r}_i</math
  7 KB (1,149 words) - 17:16, 15 December 2020
• 2021 April MIMC 10
  ...nal of square <math>ABCD</math>. Square <math>IGED</math> has area <math>11-6\sqrt{2}</math>. Given that point <math>J</math> bisects line segment <math ...\pi+1}{280+100\pi} \qquad\textbf{(E)} ~\frac{50\pi^2+700\pi\sqrt{2}+3001\pi-70\sqrt{2}+60}{2\pi^2+240\pi+6920}\qquad</math>
  15 KB (2,366 words) - 17:45, 19 September 2021
• 2021 MECC Mock AMC 10
  ...integers with <math>a_0=1</math> and <math>a_1=2</math> and <math>a_n=a_{n-1}\cdot a_{n+1}</math> for all integers <math>n</math> such that <math>n\geq Find the sum of all the solutions of <math>x^{3}+9x-8=k+2x</math>, where <math>k</math> can be any number. The roots may be repe
  12 KB (1,915 words) - 17:38, 29 April 2021
• 1975 AHSME Problems/Problem 23
  {{AHSME box|year=1975|num-b=22|num-a=24}}
  3 KB (445 words) - 10:43, 20 April 2021
• Acton-Boxborough Math Competition
  ...ompetition (ABMC) is a mathematics competition run by students at the Acton-Boxborough Regional High School in Acton, Massachusetts. Their sponsors incl ...n 2017 by a group of high school students from Acton, MA to foster critical-thinking skills and a love for STEM among middle and elementary school stude
  1 KB (207 words) - 12:14, 7 July 2023
• 2022 AMC 12A Problems
  "Are you a truth-teller?" The principal gave a piece of candy to each of the <math>22</math> ...20)^3+(\log 8)(\log 0.25)</cmath> where <math>\log</math> denotes the base-ten logarithm?
  15 KB (2,250 words) - 00:32, 9 March 2024
• 2021 AMC 10B Problems/Problem 3
  In an after-school program for juniors and seniors, there is a debate team with an equal Cross-multiplying and simplifying we get <math>5j=2s.</math> Additionally, since t
  3 KB (523 words) - 18:14, 16 August 2022

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