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• 2015 AIME I Problems/Problem 5
  ==Problem== ...fourth sock can be arbitrary. Otherwise (with probability <math>\dfrac{2}{3}</math>), the fourth sock can be chosen with probability <math>\dfrac{4}{5}
  5 KB (760 words) - 23:33, 23 January 2024
• 2015 AIME I Problems/Problem 12
  ==Problem== Consider all 1000-element subsets of the set <math>\{1, 2, 3, ... , 2015\}</math>. From each such subset choose the least element. The arithmetic
  5 KB (683 words) - 23:01, 9 August 2021
• 2015 AIME I Problems/Problem 1
  ==Problem== ...cdots + 37 \times 38 + 39 </math> and <math>B</math> = <math> 1 + 2 \times 3 + 4 \times 5 + \cdots + 36 \times 37 + 38 \times 39 </math> are obtained by
  2 KB (282 words) - 00:26, 9 January 2023
• 2015 AIME I Problems/Problem 7
  ==Problem == N=(0,2m+3*sqrt(55)/2);
  6 KB (1,105 words) - 21:02, 9 November 2023
• 2015 AIME I Problems/Problem 4
  ==Problem== ...= (8, 8*sqrt(3)), EE = (18, 2*sqrt(3)), M = (9, sqrt(3)), NN = (14, 4*sqrt(3));
  5 KB (852 words) - 00:12, 8 May 2024
• 2015 AIME I Problems/Problem 9
  ==Problem== ...tes a sequence according to the rule <math>a_n=a_{n-1}\cdot | a_{n-2}-a_{n-3} |</math> for all <math>n\ge 4</math>. Find the number of such sequences fo
  6 KB (1,003 words) - 20:35, 28 July 2023
• 2015 AIME I Problems/Problem 13
  ==Problem== <cmath>\frac{1}{M} = \sin 1^\circ \sin 3^\circ \sin 5^\circ \dots \sin 177^\circ \sin 179^\circ</cmath>
  9 KB (1,351 words) - 17:26, 16 January 2024
• 2015 AIME I Problems/Problem 10
  ==Problem== <cmath>|f(1)|=|f(2)|=|f(3)|=|f(5)|=|f(6)|=|f(7)|=12.</cmath> Find <math>|f(0)|</math>.
  8 KB (1,474 words) - 10:00, 10 November 2023
• 2015 AIME I Problems/Problem 11
  ==Problem== ==Solution 3==
  5 KB (906 words) - 17:43, 27 September 2023
• 2015 AIME I Problems/Problem 6
  ==Problem== ...{ED}=\overarc{DC}=\overarc{CB}=\overarc{BA}</math><math>=\frac{\angle DBA}{3}=\frac{m}{2}-4</math>
  5 KB (782 words) - 16:04, 21 July 2023
• 2015 AIME I Problems/Problem 14
  ==Problem== If <math>a=1</math>, <math>n\in \{1,2,3\}</math> and <math>\Delta_n</math> is of the form <math>k(n)+\tfrac 12</mat
  6 KB (1,079 words) - 18:58, 5 August 2023
• 2015 AIME II Problems
  {{AIME Problems|year=2015|n=II}} ==Problem 1==
  8 KB (1,326 words) - 19:15, 13 January 2024
• 2015 AIME II Problems/Problem 8
  ==Problem== ...ac{3}{2}</math>. The maximum possible value of <math>\frac{a^3b^3+1}{a^3+b^3}</math> is <math>\frac{p}{q}</math>, where <math>p</math> and <math>q</math
  5 KB (856 words) - 22:39, 14 February 2024
• 2015 AIME II Problems/Problem 10
  ==Problem== ...21 and 14253 are quasi-increasing permutations of the integers <math>1, 2, 3, 4, 5</math>, but 45123 is not. Find the number of quasi-increasing permuta
  2 KB (245 words) - 11:43, 20 December 2021
• 2015 AIME II Problems/Problem 14
  ==Problem== ...0</math> and <math>x^3y^6+y^3x^6=945</math>. Evaluate <math>2x^3+(xy)^3+2y^3</math>.
  10 KB (1,751 words) - 22:21, 26 November 2023
• 2015 AIME II Problems/Problem 6
  ==Problem== ...ots are all positive integers. The polynomial has the form <math>P(x) = 2x^3-2ax^2+(a^2-81)x-c</math> for some positive integers <math>a</math> and <mat
  5 KB (946 words) - 14:06, 14 February 2023
• 2015 AIME II Problems/Problem 7
  ==Problem== Similar triangles can also solve the problem.
  7 KB (1,180 words) - 14:08, 14 February 2023
• 2015 AIME II Problems/Problem 9
  ==Problem== draw(surface(revolution((0,0,0),(-2,-2*sqrt(3),0)--(-2,-2*sqrt(3),-10),Z,0,360)),white,nolight);
  7 KB (1,074 words) - 01:49, 22 January 2024
• 2016 AIME I
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. * [[2016 AIME I Problems|Entire Test]]
  1 KB (133 words) - 18:51, 1 June 2020
• 2016 AIME I Problems
  {{AIME Problems|year=2016|n=I}} ==Problem 1==
  8 KB (1,360 words) - 12:19, 29 January 2022

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