Create the page "Size" on this wiki! See also the search results found.

• 2016 AMC 10A Problems/Problem 10
  size(6cm);
  2 KB (337 words) - 14:56, 25 June 2023
• 2016 AMC 10A Problems/Problem 11
  size(6cm); size(6cm);
  8 KB (1,016 words) - 00:17, 31 December 2023
• MATHCOUNTS
  ...w states don't need to host chapter competitions due to a small population size.
  10 KB (1,497 words) - 11:42, 10 March 2024
• California MathCounts
  Due to the size and population of the state of [[California]], '''California MathCounts'''
  644 bytes (87 words) - 02:05, 25 March 2015
• Pigeonhole Principle
  Consider the <math>n</math> intervals from <math>[0, 1)</math> of size <math>\frac{1}{n}</math>. We have <math>n+1</math> total <math>b_0, b_1, \l
  11 KB (1,985 words) - 21:03, 5 August 2023
• Geometric mean
  size(150);
  2 KB (282 words) - 22:04, 11 July 2008
• Principle of Inclusion-Exclusion
  ...the [[union]] of a given group of [[set]]s, the size of each set, and the size of all possible [[intersection]]s among the sets. ...ze of their intersection, <math>|A_1\cap A_2|</math>. We wish to find the size of their union, <math>|A_1\cup A_2|</math>.
  9 KB (1,703 words) - 07:25, 24 March 2024
• Combination
  ...the number of combinations of size <math>r</math> from an original set of size <math>n</math>
  4 KB (615 words) - 11:43, 21 May 2021
• Fermat's Little Theorem
  ...al proof, this splits the non-main diagonal unit hypercubes into groups of size <math>p</math>, from which it follows that <math>a^p \equiv a \pmod{p}</mat ...a single orbit which we can denote as <math>\mathcal{O}</math> (since the size of the orbit is a factor of <math>p</math>). Hence, if <math>g\ne e</math>
  16 KB (2,658 words) - 16:02, 8 May 2024
• Parabola
  size(300); size(300);
  3 KB (551 words) - 16:22, 13 September 2023
• Geometric inequality
  size(400);
  7 KB (1,296 words) - 14:22, 22 October 2023
• Geometric probability
  ...l outcomes and the number of total outcomes. Instead, we have to find the size of each set. This is where we turn to '''geometric probability'''. We can
  1 KB (175 words) - 23:50, 18 November 2023
• Binomial Theorem
  ...math> is the number of ways to choose <math>m</math> objects from a set of size <math>n</math>, or <math>\binom{n}{m}</math>. Extending this to all possib
  5 KB (935 words) - 13:11, 20 February 2024
• Correspondence
  ...ly used in [[combinatorics]] in order to count the elements of a set whose size is unknown. Bijections are also very important in [[set theory]] when deal
  2 KB (289 words) - 17:17, 13 February 2009
• Bijection
  ...ly used in [[combinatorics]] in order to count the elements of a set whose size is unknown. Bijections are also very important in [[set theory]] when deal
  1,016 bytes (141 words) - 03:39, 29 November 2021
• Combinatorial identity
  We can form a committee of size <math>k+1</math> from a group of <math>n+1</math> people in <math>{{n+1}\ch
  12 KB (1,993 words) - 23:49, 19 April 2024
• Integer
  ...gned <math>32</math>-bit integers). Integers in Python can be of arbitrary size, theoretically limited only by computer memory.
  2 KB (296 words) - 15:04, 5 August 2022
• Ellipse
  size(200); size(200);
  5 KB (892 words) - 21:52, 1 May 2021
• Cardinality
  ...ts, the cardinality of is the number of [[element]]s in that set, i.e. the size of the set. The cardinality of <math>\{3, 4\}</math> is 2, the cardinality For [[infinite]] sets, cardinality also measures (in some sense) the "size" of the set, but an explicit formulation is more complicated: the cardinali
  2 KB (263 words) - 00:54, 17 November 2019
• Vector
  size(150);
  7 KB (1,265 words) - 13:22, 14 July 2021
• Law of Cosines
  size(100);
  6 KB (1,003 words) - 09:11, 7 June 2023
• Rational number
  # Despite this, the set of rational numbers is [[countable]], i.e. the same size as the set of integers.
  1 KB (207 words) - 15:51, 25 August 2022
• Angle bisector
  size(300);
  3 KB (575 words) - 15:27, 19 March 2023
• Area
  ...to the size of the region that a two-[[dimension]]al figure occupies. The size of a region in higher dimensions is referred to as [[volume]].
  6 KB (1,181 words) - 22:37, 22 January 2023
• Root-Mean Square-Arithmetic Mean-Geometric Mean-Harmonic mean Inequality
  <asy>size(250);
  5 KB (912 words) - 20:06, 14 March 2023
• 2002 IMO Shortlist Problems/C5
  ...r </math>, no two of which are disjoint. Prove that there exists a set of size <math> \displaystyle r-1 </math> that meets each set in <math> \displaystyl ...ll stop before <math> \displaystyle |A| = r </math>, for clearly no set of size <math> \displaystyle r </math> can be a subset of every set of <math> \disp
  4 KB (681 words) - 20:10, 19 April 2007
• Rectangle
  size(200);
  782 bytes (108 words) - 13:36, 6 March 2022
• 2006 AIME I Problems
  size(6cm); size(8cm);
  7 KB (1,173 words) - 03:31, 4 January 2023
• 2006 AIME I Problems/Problem 14
  size(200); size(200);
  6 KB (980 words) - 21:45, 31 March 2020
• LaTeX:Symbols
  the parentheses don't come out the right size: ==Multi-Size Symbols==
  16 KB (2,324 words) - 16:50, 19 February 2024
• 2006 AIME I Problems/Problem 11
  ...ze <math>m</math>. Thus, there are 3 times as many towers using blocks of size <math>1, 2, \ldots, m, m + 1</math> as there are towers using only <math>1, ...th>: when <math>m = 1</math>, there are only 2 places to insert a block of size <math>m + 1 = 2</math>, at the beginning or at the end, rather than the 3 p
  3 KB (436 words) - 05:40, 4 November 2022
• 2006 AIME I Problems/Problem 10
  size(150);defaultpen(linewidth(0.7)); size(150);defaultpen(linewidth(0.7));
  4 KB (731 words) - 17:59, 4 January 2022
• 2006 AIME I Problems/Problem 8
  size(8cm); size(8cm);
  5 KB (730 words) - 15:05, 15 January 2024
• 2006 AMC 12B Problems
  size(5cm);
  13 KB (2,058 words) - 12:36, 4 July 2023
• 2006 AMC 12A Problems
  <asy>size(7cm); pointpen = black; pathpen = linewidth(0.7); size(150);
  15 KB (2,223 words) - 13:43, 28 December 2020
• 2004 AMC 12A Problems
  size(150); size(100);
  13 KB (1,953 words) - 00:31, 26 January 2023
• 2002 AMC 12A Problems
  ...an eight-ounce cup and four ounces of cream into a second cup of the same size. She then pours half the coffee from the first cup to the second and, after size(200);
  12 KB (1,792 words) - 13:06, 19 February 2020
• 2003 AMC 12B Problems
  size(200); size(200);
  13 KB (1,987 words) - 18:53, 10 December 2022
• 2004 AMC 12B Problems
  size(120);
  13 KB (2,049 words) - 13:03, 19 February 2020
• 2005 AMC 12B Problems
  ...>8</math>-foot by <math>10</math>-foot floor is tiled with square tiles of size <math>1</math> foot by <math>1</math> foot. Each tile has a pattern consis
  12 KB (1,781 words) - 12:38, 14 July 2022
• 2006 AMC 12B Problems/Problem 10
  If the second size has length x, then the first side has length 3x, and we have the third side
  977 bytes (156 words) - 13:57, 19 January 2021
• 2006 AMC 12B Problems/Problem 21
  size(7cm);
  2 KB (339 words) - 13:15, 12 July 2015
• 2006 AMC 12B Problems/Problem 23
  size(5cm); size(5cm);
  7 KB (1,169 words) - 14:04, 10 June 2022
• 2006 AMC 12B Problems/Problem 24
  size(5cm); size(5cm);
  3 KB (563 words) - 22:45, 24 October 2021
• 2006 AMC 12A Problems/Problem 20
  size(50);
  5 KB (908 words) - 19:23, 22 September 2022
• 2006 AMC 12A Problems/Problem 25
  ...condition. No elements less than <math>s</math> can be put in a subset of size <math>s</math>, therefore the "lowest" element that can go into the subset
  8 KB (1,405 words) - 11:52, 27 September 2022
• 2005 AMC 12A Problems/Problem 25
  ...y solutions as possible, until it becomes intuitive that there are no more size of triangles left. size(200);
  4 KB (498 words) - 00:46, 4 August 2023
• 2005 AMC 12B Problems/Problem 5
  ...-foot by <math>10</math>-foot bathroom floor is tiled with square tiles of size <math>1</math> foot by <math>1</math> foot. Each tile has a pattern consis
  2 KB (223 words) - 14:30, 15 December 2021
• 2005 AMC 12B Problems/Problem 25
  size(30);
  10 KB (1,840 words) - 21:35, 7 September 2023
• 2006 AMC 10A Problems
  size(150); pathpen = linewidth(0.6); defaultpen(fontsize(10)); size(7cm); pathpen = linewidth(0.7);
  13 KB (2,028 words) - 16:32, 22 March 2022
• 2006 AMC 10A Problems/Problem 12
  size(150); pathpen = linewidth(0.6); defaultpen(fontsize(10)); size(150); pathpen = linewidth(0.7); defaultpen(linewidth(0.7)+fontsize(10));
  3 KB (424 words) - 10:14, 17 December 2021
• 2006 AMC 12A Problems/Problem 12
  size(7cm); pathpen = linewidth(0.7);
  2 KB (292 words) - 11:56, 17 December 2021
• 2006 AMC 10A Problems/Problem 16
  size(200); pathpen = linewidth(0.7); pointpen = black; size(200); pathpen = linewidth(0.7); pointpen = black; pointfontpen = fontsize(1
  5 KB (732 words) - 23:19, 19 September 2023
• 2006 AMC 10A Problems/Problem 17
  size(7cm); pathpen = linewidth(0.7); pointpen = black; pointfontpen = fontsize(1 size(7cm); pathpen = linewidth(0.7); pointpen = black; pointfontpen = fontsize(1
  6 KB (1,066 words) - 00:21, 2 February 2023
• 2006 AMC 10A Problems/Problem 24
  size(400);
  2 KB (292 words) - 10:19, 19 December 2021
• Set
  ...[[finite]] set of size <math>n</math> then <math>\mathcal{P}(A)</math> has size <math>2^n</math>. ...y]] of a set <math>A</math>, denoted <math>|A|</math>, is (informally) the size of the set. For a finite set, the cardinality is simply the number of elem
  11 KB (2,021 words) - 00:00, 17 July 2011
• Newman's Tauberian Theorem
  size(200);
  6 KB (1,034 words) - 07:55, 12 August 2019
• 2006 USAMO Problems
  ...ive integers that has sum greater than <math>N </math> but every subset of size <math>k</math> has sum at most <math>N/2</math>.
  3 KB (520 words) - 09:24, 14 May 2021
• 1991 AJHSME Problems
  ...ath>3</math> cm is cut into <math>N</math> smaller cubes, not all the same size. If the edge of each of the smaller cubes is a whole number of centimeters
  17 KB (2,246 words) - 13:37, 19 February 2020
• 2005 AIME II Problems/Problem 8
  size(200);
  4 KB (693 words) - 13:03, 28 December 2021
• 2005 AIME II Problems/Problem 12
  size(200); size(200);
  13 KB (2,080 words) - 21:20, 11 December 2022
• 2005 AIME I Problems/Problem 10
  size(170);
  5 KB (852 words) - 21:23, 4 October 2023
• 2005 AIME I Problems/Problem 11
  ...ce it is tangent to two adjacent sides of the square, we will maximize its size when it touches both other sides of the square. This can happen only when
  4 KB (707 words) - 11:11, 16 September 2021
• 2005 AIME I Problems/Problem 13
  defaultpen(fontsize(8)+0.8+heavyblue); size(250);
  5 KB (897 words) - 00:21, 29 July 2022
• 2005 AIME I Problems/Problem 15
  size(300); pointpen=black;pathpen=black+linewidth(0.65); pen s = fontsize(10);
  5 KB (906 words) - 23:15, 6 January 2024
• 2005 AIME II Problems/Problem 15
  size(220); pointpen = black; pen d = linewidth(0.7); pathpen = d; size(220);
  12 KB (2,000 words) - 13:17, 28 December 2020
• 2005 AIME II Problems/Problem 14
  import olympiad; import cse5; import geometry; size(150); import olympiad; import cse5; import geometry; size(300);
  13 KB (2,129 words) - 18:56, 1 January 2024
• 2004 AIME I Problems/Problem 14
  currentprojection = perspective(-2,-50,15); size(200);
  4 KB (729 words) - 01:00, 27 November 2022
• 2004 AIME I Problems/Problem 4
  size(100); size(100);
  3 KB (532 words) - 09:22, 11 July 2023
• 2004 AIME I Problems/Problem 7
  ...,4,-5,6,-7,8,-9,10,-11,12,-13,14,-15]</math>. Denote by <math>S</math> all size 2 subsets of this set. Replace each element of <math>S</math> by the produc
  5 KB (833 words) - 19:43, 1 October 2023
• 2004 AIME II Problems/Problem 7
  size(200);
  9 KB (1,501 words) - 05:34, 30 October 2023
• 2004 AIME II Problems
  size(200);
  9 KB (1,410 words) - 05:05, 20 February 2019
• 1983 AIME Problems
  size(150); size(170);
  7 KB (1,104 words) - 12:53, 6 July 2022
• 1984 AIME Problems
  size(200);
  6 KB (933 words) - 01:15, 19 June 2022
• 2002 AIME I Problems
  size(250);real x=sqrt(3); size(250);
  8 KB (1,374 words) - 21:09, 27 July 2023
• 1983 AIME Problems/Problem 4
  size(150); size(150); defaultpen(linewidth(0.6)+fontsize(11));
  11 KB (1,741 words) - 22:40, 23 November 2023
• 1983 AIME Problems/Problem 11
  size(180); size(180);
  5 KB (865 words) - 21:11, 6 February 2023
• 1983 AIME Problems/Problem 14
  <asy>size(160); defaultpen(linewidth(.8pt)+fontsize(11pt)); dotfactor=3; pair O1=(0,0 size(0,5cm);
  13 KB (2,149 words) - 18:44, 5 February 2024
• 1983 AIME Problems/Problem 15
  <asy>size(100); size(170);
  19 KB (3,221 words) - 01:05, 7 February 2023
• 1984 AIME Problems/Problem 3
  size(200);
  4 KB (726 words) - 13:39, 13 August 2023
• 1985 AIME Problems/Problem 11
  size(200);
  5 KB (932 words) - 17:00, 1 September 2020
• 1985 AIME Problems/Problem 9
  size(200); size(200);
  5 KB (763 words) - 16:20, 28 September 2019
• 1986 AIME Problems/Problem 15
  size(170); size(150);
  11 KB (1,722 words) - 09:49, 13 September 2023
• 1986 AIME Problems/Problem 9
  size(200); size(200);
  11 KB (1,850 words) - 18:07, 11 October 2023
• 1987 AIME Problems/Problem 15
  size(200); size(200);
  5 KB (838 words) - 18:05, 19 February 2022
• 1989 AIME Problems/Problem 15
  size(170); size(170);
  13 KB (2,091 words) - 00:20, 26 October 2023
• 1989 AIME Problems/Problem 12
  defaultpen(fontsize(10)+0.8); size(175);
  2 KB (376 words) - 13:49, 1 August 2022
• 1989 AIME Problems/Problem 10
  size(170); size(170);
  8 KB (1,401 words) - 21:41, 20 January 2024
• 1989 AIME Problems/Problem 8
  size(20cm); size(10cm);
  8 KB (1,146 words) - 04:15, 20 November 2023
• 1989 AIME Problems/Problem 6
  size(300); draw((0,0)--(100,0)--(80,139)--cycle);
  5 KB (864 words) - 19:55, 2 July 2023
• 1990 AIME Problems/Problem 14
  size(280);
  7 KB (1,086 words) - 08:16, 29 July 2023
• 2006 AMC 10B Problems/Problem 6
  size(90); defaultpen(linewidth(0.7));
  1 KB (181 words) - 13:45, 26 January 2022
• 2006 AMC 10B Problems/Problem 8
  defaultpen(linewidth(0.8)); size(100);
  1 KB (176 words) - 13:49, 26 January 2022
• 2006 AMC 10B Problems/Problem 15
  <asy> defaultpen(linewidth(0.7)+fontsize(10)); size(120);
  3 KB (445 words) - 22:01, 20 August 2022
• 1991 AIME Problems/Problem 2
  real r = 0.35; size(220);
  4 KB (595 words) - 12:51, 17 June 2021
• 1992 AIME Problems/Problem 2
  ...ve n people and you want to know how many ways you can make a group of any size you could do this <math>2</math> ways. You could count everyone is binary i
  2 KB (336 words) - 05:18, 4 November 2022
• 2006 AMC 10B Problems/Problem 24
  <asy>size(200);defaultpen(linewidth(0.8));
  4 KB (558 words) - 14:38, 6 April 2024
• 1993 AIME Problems/Problem 13
  size(8cm); defaultpen(linewidth(0.7)); size(8cm); defaultpen(linewidth(0.7));
  8 KB (1,231 words) - 20:06, 26 November 2023
• 1994 AIME Problems/Problem 15
  pathpen = linewidth(1); size(250); pen dots = linetype("2 3") + linewidth(0.7), dashes = linetype("8 6")
  4 KB (717 words) - 22:20, 3 June 2021
• 1994 AIME Problems/Problem 14
  pathpen = linewidth(0.7); size(250);
  2 KB (303 words) - 00:03, 28 December 2017
• 1994 AIME Problems/Problem 7
  <asy> size(150); draw(circle((0,0),sqrt(50)));
  3 KB (442 words) - 19:51, 8 January 2024
• 1994 AIME Problems/Problem 6
  size(200); size(60);
  4 KB (721 words) - 16:14, 8 March 2021
• 1995 AIME Problems/Problem 14
  size(200); pathpen = black + linewidth(0.7); pen d = dashed+linewidth(0.7);
  3 KB (484 words) - 13:11, 14 January 2023
• 1995 AIME Problems/Problem 9
  import graph; size(5cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps); p
  7 KB (1,181 words) - 13:47, 3 February 2023
• 1995 AIME Problems/Problem 4
  pointpen = black; pathpen = black + linewidth(0.7); size(150); pointpen = black; pathpen = black + linewidth(0.7); size(150);
  3 KB (605 words) - 11:30, 5 May 2024
• 1996 AIME Problems/Problem 15
  <center><asy>size(180); pathpen = black+linewidth(0.7);
  5 KB (710 words) - 21:04, 14 September 2020
• 1996 AIME Problems/Problem 4
  size(250);defaultpen(0.7+fontsize(9));
  2 KB (257 words) - 17:50, 4 January 2016
• 1997 AIME Problems/Problem 7
  size(200,200);
  4 KB (617 words) - 18:47, 17 July 2022
• 1998 AIME Problems/Problem 13
  It a subset of size 1 has a 9, then its power sum must be <math>9i</math>, and there is only <m
  2 KB (384 words) - 19:02, 20 October 2023
• 1998 AIME Problems/Problem 11
  <span style="font-size:100%">"For non-asymptote version of image, see [[:Image:1998_AIME-11.png]]" size(280); defaultpen(linewidth(0.6)+fontsize(9));
  7 KB (1,084 words) - 11:48, 13 August 2023
• 1998 AIME Problems/Problem 9
  size(180);
  4 KB (624 words) - 18:34, 18 February 2018
• 2000 AIME I Problems/Problem 14
  <center><asy>defaultpen(fontsize(10)); size(200); pen p=fontsize(8); <center><asy>defaultpen(fontsize(8)); size(200); pair A=20*dir(80)+20*dir(60)+20*dir(100), B=(0,0), C=20*dir(0), P=20*
  8 KB (1,275 words) - 03:04, 27 February 2022
• 2000 AIME I Problems/Problem 13
  pointpen = black; pathpen = black+linewidth(0.7); size(250); pointpen = black; pathpen = black+linewidth(0.7); size(250);
  3 KB (571 words) - 00:38, 13 March 2014
• 2000 AIME I Problems/Problem 2
  pointpen = black; pathpen = linewidth(0.7) + black; size(180);
  3 KB (434 words) - 22:43, 16 May 2021
• 2001 AIME I Problems/Problem 7
  ...l triangle <math>ABC</math>. So, <math>DE</math> is <math>43/63</math> the size of <math>BC</math>. Multiplying this ratio by the length of <math>BC</math>
  9 KB (1,540 words) - 08:31, 1 December 2022
• 2001 AIME I Problems/Problem 4
  size(200);
  3 KB (534 words) - 03:22, 23 January 2023
• 2002 AIME I Problems/Problem 15
  size(200);
  7 KB (1,181 words) - 20:32, 8 January 2024
• 2002 AIME I Problems/Problem 14
  ...of the integers in <math>\mathcal{S}</math> be <math>N</math>, and let the size of <math>|\mathcal{S}|</math> be <math>n+1</math>. After any element <math>
  2 KB (267 words) - 19:18, 21 June 2021
• 2002 AIME I Problems/Problem 13
  size(150); pathpen = linewidth(0.7); pointpen = black; pen f = fontsize(8); pair
  6 KB (974 words) - 13:01, 29 September 2023
• 2003 AIME I Problems/Problem 15
  size(400); pointpen = black; pathpen = black+linewidth(0.7);
  8 KB (1,382 words) - 14:23, 29 December 2022
• 2003 AIME I Problems/Problem 12
  pointpen = black; pathpen = black+linewidth(0.7); size(180);
  3 KB (487 words) - 22:14, 24 November 2019
• 2003 AIME I Problems/Problem 10
  pointpen = black; pathpen = black+linewidth(0.7); size(220); pointpen = black; pathpen = black+linewidth(0.7); size(220);
  7 KB (1,058 words) - 01:41, 6 December 2022
• 2003 AIME I Problems/Problem 7
  size(220);
  3 KB (490 words) - 18:13, 13 February 2021
• 2003 AIME I Problems/Problem 6
  size(120); size(120);
  3 KB (477 words) - 18:35, 27 December 2021
• 2003 AIME I Problems/Problem 5
  size(220);
  2 KB (288 words) - 19:58, 4 July 2013
• 2003 AIME II Problems/Problem 14
  size(200); size(200);
  9 KB (1,461 words) - 15:09, 18 August 2023
• 2003 AIME II Problems/Problem 6
  size(8cm);
  5 KB (787 words) - 17:38, 30 July 2022
• 2002 AIME II Problems/Problem 13
  size(10cm); size(10cm);
  6 KB (935 words) - 13:23, 3 September 2021
• 2002 AIME II Problems/Problem 12
  size(150);
  7 KB (1,127 words) - 13:34, 19 June 2022
• 2001 AIME II Problems/Problem 6
  size(150); pointpen = black; pathpen = black+linewidth(0.7); pen d = linetype("4
  4 KB (772 words) - 19:31, 6 December 2023
• 2000 AIME II Problems/Problem 8
  size(200); pathpen = linewidth(0.7);
  4 KB (584 words) - 19:35, 7 December 2019
• 2006 USAMO Problems/Problem 2
  ...ive integers that has sum greater than <math>N </math> but every subset of size <math>k </math> has sum at most <math>N/2 </math>.
  2 KB (398 words) - 09:48, 5 August 2014
• 2006 USAMO Problems/Problem 5
  ...1)</math> and the number <math>2t + 2^{i_0-p} + 1</math> is odd, a jump of size <math>2^{p+1}</math> can be made from <math>2^p(2t + 1) - 2^{i_0}</math> ju
  7 KB (1,280 words) - 17:23, 26 March 2016
• 2006 AMC 12A Problems/Problem 6
  size(175); size(175);
  3 KB (528 words) - 18:29, 7 May 2024
• Radius
  <asy>size(150);
  929 bytes (156 words) - 22:49, 5 January 2023
• 2005 IMO Shortlist Problems/G3
  ...</math> and <math> \displaystyle DY </math>, respectively. Prove that the size of angle <math> \displaystyle KCL </math> does not depend on the choice of
  3 KB (453 words) - 10:53, 24 June 2007
• 2005 AMC 10B Problems
  ...</math>-foot by <math> 10</math>-foot floor is tiled with square tiles of size <math> 1</math> foot by <math> 1</math> foot. Each tile has a pattern consi
  12 KB (1,874 words) - 21:20, 23 December 2020
• Angle bisector theorem
  <asy> size(200); defaultpen(fontsize(12)); real a,b,c,d; pair A=(1,9), B=(-11,0), C=(4
  3 KB (438 words) - 14:20, 4 March 2023
• Mock AIME 2 2006-2007 Problems/Problem 9
  size(200);
  2 KB (358 words) - 23:22, 3 May 2014
• 1970 IMO Problems/Problem 3
  size(10cm,10cm,IgnoreAspect);
  3 KB (577 words) - 16:10, 26 July 2009
• 1995 AHSME Problems/Problem 8
  size(120);
  1 KB (199 words) - 13:58, 5 July 2013
• P versus NP
  ...ministic Turing machine in an amount of time that is [[polynomial]] in the size of the input. More formally, <math>P = \bigcup_{k \ge 0} \text{TIME}(O(n^k)
  6 KB (1,104 words) - 15:11, 25 October 2017
• Congruent (geometry)
  ...over. In plain language, two objects are congruent if they have the same size and shape. size(500);
  10 KB (1,655 words) - 21:43, 24 March 2022
• Committee forming
  ...number of ways to choose a committee of size <math>k</math> from a set of size <math>n</math>. We use <math>{n\choose k}</math> which is called a [[binomi ...us, the problem can be restated as finding the number of committees of any size that can be formed from a group of <math>n</math> people. Each person can
  3 KB (485 words) - 19:49, 16 July 2018
• Power set
  ==Size Comparison== ==Size for Finite Sets==
  4 KB (757 words) - 11:44, 8 March 2018
• Orthocenter
  size(15cm); size(4cm);
  5 KB (829 words) - 13:11, 20 February 2024
• Similarity (geometry)
  ...ects are '''similar''' if they are similar in every aspect except possibly size or orientation. For example, a globe and the surface of the earth are, in
  2 KB (261 words) - 20:42, 25 November 2023
• Chord
  <asy>size(100); <asy>size(120);
  522 bytes (103 words) - 12:16, 18 February 2018
• Stirling number
  ...g the cases that <math>n + 1</math> is in a part of size <math>1</math> or size larger than <math>1</math>.) They can also be calculated using the formula
  2 KB (253 words) - 00:04, 5 December 2020
• 2007 iTest Problems
  size(300);
  33 KB (5,177 words) - 21:05, 4 February 2023
• Asymptote: Basics
  ==Size and Unitsize== The other useful function is <tt>size</tt>, which specifies the exact width and height of the box that your pictu
  5 KB (801 words) - 20:44, 6 May 2024
• Point
  ...is an entity with a location. In [[Euclidean geometry]], points have no [[size]], [[area]], [[length]], or any other characteristics except [[position]].
  3 KB (461 words) - 18:59, 22 April 2008
• 2005 AMC 10A Problems
  size(150);
  14 KB (2,026 words) - 11:45, 12 July 2021
• 2003 AMC 10A Problems
  size(150);
  13 KB (1,900 words) - 22:27, 6 January 2021
• Pick's Theorem
  size(150);
  2 KB (301 words) - 13:08, 20 February 2024
• 2004 AMC 10A Problems
  size(250);defaultpen(linewidth(0.8));
  15 KB (2,092 words) - 20:32, 15 April 2024
• 2003 AMC 12A Problems/Problem 15
  size(150); size(150);
  3 KB (380 words) - 21:53, 19 March 2022
• Sector
  <div style="float:right"><asy>size(150);
  1 KB (178 words) - 21:12, 24 April 2008
• 1987 IMO Problems/Problem 4
  ...>. Thus, <math>g</math> is an invertible function on a finite set of odd size, and hence must have a fixed point, say <math>a \in \mathbb{Z}_{1987}</math
  5 KB (923 words) - 19:51, 21 January 2024
• Vestavia Hills High School Math Tournament
  ...rview Middle of FL and Rickards, GAC, etc. come to compete. Therefore, the size of the competition has grown the past few years. The tests consist of 25 qu
  1 KB (160 words) - 12:31, 27 December 2006
• Georgia Southern Invitational Mathematics Tournament
  ...competition. Individuals and teams are recognized by division and school size. The website contains further information, as well as past exams and resul
  1 KB (154 words) - 09:45, 21 March 2010
• Asymptote: Advanced Configuration
  size(1inch);
  12 KB (1,931 words) - 13:53, 26 January 2020
• Asymptote: Reference
  size(3cm);
  7 KB (1,205 words) - 21:38, 26 March 2024
• Asymptote: Logical Operators and Loops
  size(r*cm); size(r*cm);
  2 KB (324 words) - 16:50, 2 October 2016
• Asymptote: Useful commands and their Output
  size(2cm); size(75);
  6 KB (871 words) - 21:14, 12 June 2023
• Totally ordered set
  ...<math>\{1, 2, 3\}</math> by inclusion (the [[boolean lattice]] on a set of size 3), we don't get a total order because <math>\{1, 2\}</math> and <math>\{3\
  1 KB (174 words) - 12:52, 25 November 2007
• 1960 IMO Problems/Problem 3
  size(8cm);
  3 KB (501 words) - 00:14, 17 May 2015
• 2007 AIME I Problems/Problem 9
  ...the new triangle are <math>\frac{46s}{34s}=\frac{23}{17}</math> times the size of the original. The problem's 16-30-34 triangle sits above the circles.
  11 KB (1,851 words) - 12:31, 21 December 2021
• 2007 AIME I Problems/Problem 12
  defaultpen(fontsize(12)+0.6); size(300);
  10 KB (1,458 words) - 20:50, 3 November 2023
• LaTeX:Downloads
  ##It will ask you your "preferred paper size". North American users will probably want "Letter"; users elsewhere in the
  8 KB (1,318 words) - 01:16, 28 February 2022
• 2007 AIME II Problems/Problem 15
  defaultpen(fontsize(12)+0.8); size(300); defaultpen(fontsize(12)+0.8); size(350);
  11 KB (2,099 words) - 17:51, 4 January 2024
• 1999 ELMO
  |style="font-size:150%;padding:14px 0;margin:0px;text-align:left;white-space:nowrap;color:#00 |style="font-size:130%;margin:0px;text-align:right;white-space:nowrap;color:#000"|
  2 KB (294 words) - 02:36, 13 April 2007
• 2007 USAMO Problems/Problem 3
  ...<math>X</math> in the same class forms <math>k</math> disjoint subsets of size n. ...are in one class. Obviously we can find <math>k</math> disjoint subsets of size n.
  6 KB (1,071 words) - 08:40, 21 October 2020
• 2007 USAMO Problems/Problem 4
  ...of this size that works consists of a center and 4 lines of cells each of size 2006 connected to the center). We next throw out all the [[geometry]] of th ...ubtree if you root from that vertex instead, so you have some subtree with size between <math>\frac{V-1}{D}</math> and <math>\frac V2</math>. Cut the edge
  10 KB (1,878 words) - 14:56, 30 June 2021
• 2007 USAMO Problems/Problem 6
  size(400);
  7 KB (1,274 words) - 15:11, 31 August 2017
• Pascal's Theorem
  size(250);
  4 KB (712 words) - 21:57, 25 April 2020
• 2004 IMO Shortlist Problems/C3
  ...h> \displaystyle A_{n-1} </math>. We then use our procedure for graphs of size <math> \displaystyle n-1 </math> on the subgraph <math> A_1 \cdots A_{n-1}
  4 KB (736 words) - 10:20, 9 June 2007
• LaTeX:Pictures
  We can easily scale the size of the diagram by using the scale optional command. ...LaTeX/Samples/weirdtext.pdf output document] shows text that is doubled in size, rotated 60 degrees, and reflected.
  9 KB (1,454 words) - 16:52, 19 February 2024
• LaTeX:Layout
  ...eft to their defaults. One option that might need modification is the font size, which is 10pt by default but can be increased to 11pt or 12pt. A reference ...portion of the page, enclose that potion in { } and have the relevant font size command occur right at the beginning of the text inside the curly braces. I
  30 KB (5,171 words) - 10:16, 4 April 2021
• LaTeX:Commands
  ...\begin{array}…\end{array} commands, and use \left and \right to properly size the delimiters around the matrix:
  12 KB (1,898 words) - 15:31, 22 February 2024
• Zermelo-Fraenkel Axioms
  This axiom allows us, given a set, to construct other sets of the same size. <br/>
  4 KB (732 words) - 20:49, 13 October 2019
• 2007 AMC 12A Problems/Problem 25
  For subsets of size <math>k</math> there must be <math>2(k - 1)</math> dividers between the bal ...anged in increasing order. This creates a [[bijection]] with the number of size <math>k</math> subsets of the set of the first <math>14-2k</math> positive
  9 KB (1,461 words) - 23:07, 27 January 2024
• 2005 AMC 12A Problems/Problem 15
  import graph; size(7cm);
  14 KB (1,970 words) - 17:02, 18 August 2023
• 2006 AIME II Problems/Problem 12
  size(250); pointpen = black; pathpen = black + linewidth(0.65); pen s = fontsize
  6 KB (1,033 words) - 02:36, 19 March 2022
• 2006 AIME II Problems
  size(50);
  8 KB (1,350 words) - 12:00, 4 December 2022
• 1998 PMWC Problems
  size(2inch);
  11 KB (1,738 words) - 19:25, 10 March 2015
• 1999 PMWC Problems
  import graph; size(3.62cm); import graph; size(4.62cm);
  6 KB (703 words) - 21:21, 21 April 2014
• 2000 PMWC Problems
  ...der and cannot be used any more. Sam wants to make a copy that is the same size as the original document by using the remaining buttons. When he presses a
  11 KB (1,713 words) - 22:47, 13 July 2023
• 2001 PMWC Problems
  size(8cm); size(9cm);
  4 KB (641 words) - 21:24, 21 April 2014
• 2002 PMWC Problems
  size(8cm); size(2cm);
  5 KB (725 words) - 16:07, 23 April 2014
• 2003 PMWC Problems
  size(7cm); size(4cm);
  7 KB (918 words) - 16:15, 22 April 2014
• British Flag Theorem
  size(300);
  3 KB (405 words) - 01:14, 3 December 2023
• 1997 PMWC Problems/Problem I11
  size(4cm);
  944 bytes (154 words) - 12:44, 13 August 2014
• 2004 AMC 10A Problems/Problem 21
  size(85);
  3 KB (476 words) - 03:50, 23 January 2023
• 2004 AMC 12A Problems/Problem 18
  size(100); size(150);
  5 KB (738 words) - 13:11, 27 March 2023
• 2001 IMO Problems/Problem 3
  ...of boys who have solved it. Let this set of problems be A. Clearly, A has size <math>21\times 6</math>.
  2 KB (453 words) - 07:27, 26 November 2020
• 2007 IMO Problems/Problem 3
  ...largest size of a clique contained in one room is the same as the largest size of a clique contained in the other room.
  682 bytes (113 words) - 01:06, 19 November 2023
• Asymptote: Useful functions
  size(8cm,0); <asy>size(200,200);
  4 KB (646 words) - 21:18, 26 March 2024
• Asymptote: CSE5
  size(200); size(200);
  4 KB (607 words) - 15:09, 30 June 2020
• Excircle
  ...sides <math>BX </math> and <math>DY </math>, respectively. Prove that the size of angle <math>KCL </math> does not depend on the choice of <math> \ell </m
  5 KB (843 words) - 03:02, 1 July 2020
• 2001 USAMO Problems/Problem 2
  pathpen = linewidth(0.7); size(300); pen d = linetype("4 4") + linewidth(0.6); pair B=(0,0), C=(10,0), A=7
  11 KB (2,091 words) - 08:35, 16 November 2017
• Magnitude
  ...the number (graphed on the complex plane) to the origin, a measure of the size of a complex number. The magnitude is generally a nonnegative real number.
  2 KB (246 words) - 18:27, 2 March 2023
• Symmetric sum
  ...all <math>\left(\begin{matrix}n\cr r\end{matrix}\right)</math> subsets of size <math>r</math> in <math>\{x_1,\ldots,x_n\}</math>.
  1 KB (255 words) - 12:52, 8 October 2023
• 2004 AMC 12A Problems/Problem 8
  size(150);
  5 KB (692 words) - 21:15, 5 April 2024
• 1992 USAMO Problems/Problem 2
  size(200);
  4 KB (628 words) - 07:41, 19 July 2016
• 2002 AMC 12B Problems/Problem 24
  size(200);
  2 KB (313 words) - 10:23, 4 July 2013
• 2000 AMC 12 Problems/Problem 17
  size(6cm);
  6 KB (979 words) - 12:50, 17 July 2022
• 2000 AMC 12 Problems/Problem 25
  size(8cm); size(8cm);
  7 KB (998 words) - 21:04, 23 December 2023
• 1995 AHSME Problems
  size(100); pathpen = linewidth(0.7); pointpen = black+linewidth(3); ...ning the midpoints of opposite sides. The total number of triangles of any size in the figure is
  17 KB (2,387 words) - 22:44, 26 May 2021
• 1997 PMWC Problems
  import graph; size(5.12cm); import graph; usepackage("amsmath"); size(3.95cm);
  15 KB (2,057 words) - 19:13, 10 March 2015
• 1991 USAMO Problems/Problem 5
  size(220); size(220);
  5 KB (953 words) - 12:18, 4 September 2018
• 1991 USAMO Problems
  size(220);
  3 KB (512 words) - 19:17, 18 July 2016
• 2003 AMC 12B Problems/Problem 22
  size(200);
  4 KB (551 words) - 14:17, 23 June 2022
• 2004 AMC 10A Problems/Problem 19
  size(250);defaultpen(linewidth(0.8));
  2 KB (220 words) - 14:19, 21 April 2021
• 2007 AMC 10A Problems/Problem 24
  size(5cm);
  3 KB (439 words) - 15:39, 3 June 2021
• 2003 AMC 12B Problems/Problem 24
  size(100);
  7 KB (1,183 words) - 11:47, 15 February 2016
• 1998 AHSME Problems/Problem 26
  size(200); size(180);
  3 KB (391 words) - 14:30, 5 July 2013
• 2004 AMC 12B Problems/Problem 24
  size(120);
  2 KB (302 words) - 19:59, 3 July 2013
• 2004 AMC 12B Problems/Problem 19
  size(220); size(220);
  3 KB (520 words) - 19:12, 20 November 2023
• 2002 AMC 10A Problems/Problem 25
  size(250);
  8 KB (1,308 words) - 07:05, 19 December 2022
• 2008 AMC 10A Problems
  size(4cm);
  14 KB (2,138 words) - 15:08, 18 February 2023
• 2008 AMC 12A Problems/Problem 13
  <asy>size(200);
  4 KB (630 words) - 20:32, 4 June 2021
• 2008 AMC 12A Problems/Problem 20
  size(300); size(300);
  6 KB (951 words) - 16:31, 2 August 2019
• List of BBCodes
  ...ze%)]</code></td><td>Changes the size of the text in the specified percent size.</td>
  6 KB (1,152 words) - 18:29, 12 December 2022
• 2004 AMC 12A Problems/Problem 19
  size(400);
  5 KB (785 words) - 00:29, 31 July 2023
• Symmetric group
  ...tion is to be thought of as a [[bijective]] [[function]] from a [[set]] of size <math>n</math> to itself, and the group operation is [[composition]] of fun
  10 KB (1,668 words) - 15:33, 25 May 2008
• 2008 AIME I Problems
  size(200);
  9 KB (1,536 words) - 00:46, 26 August 2023
• 2008 AIME I Problems/Problem 10
  size(300);
  4 KB (629 words) - 22:38, 28 November 2023
• 2008 AIME I Problems/Problem 15
  size(200); size(500);
  6 KB (1,041 words) - 00:54, 1 February 2024
• 2008 AIME I Problems/Problem 14
  size(250); defaultpen(0.70 + fontsize(10)); import olympiad;
  8 KB (1,333 words) - 00:18, 1 February 2024
• 2006 IMO Shortlist Problems/C5
  ...ion our <math>n</math> players into <math>n/2^t</math> different groups of size <math>2^t</math>, it suffices to prove this for <math>n=2^t</math>. ...<math>(n,k)</math>-tournament containing any element of <math>S</math> has size either <math>|S|</math> or <math>2|S|</math>, completing the inductve step
  4 KB (641 words) - 11:09, 30 March 2008
• Mock AIME 1 2007-2008 Problems/Problem 14
  size(220); defaultpen(fontsize(10));
  2 KB (375 words) - 15:23, 25 November 2009
• 2008 AIME II Problems/Problem 5
  size(220); size(220);
  8 KB (1,338 words) - 23:15, 28 November 2023
• 2008 AIME II Problems/Problem 11
  size(200);
  6 KB (1,065 words) - 20:12, 9 August 2022
• 1974 USAMO Problems/Problem 5
  size(400); size(300);
  7 KB (1,221 words) - 18:57, 3 July 2013
• 2005 USAMO Problems/Problem 3
  size(300);
  6 KB (1,117 words) - 01:17, 11 October 2021
• 1998 APMO Problems/Problem 4
  size(200);
  2 KB (345 words) - 18:42, 13 April 2008
• 1997 PMWC Problems/Problem I4
  import graph; size(5.12cm);
  4 KB (356 words) - 07:49, 24 July 2017
• 1997 PMWC Problems/Problem I5
  import graph; usepackage("amsmath"); size(3.95cm);
  2 KB (198 words) - 14:20, 20 April 2014
• Cone
  <center><!-- NOTE: two different versions --><asy> size(120); <asy> size(120);
  7 KB (1,128 words) - 20:12, 27 September 2022
• Mock AIME 1 2007-2008 Problems/Problem 11
  size(150); defaultpen(linewidth(0.8)); import markers; draw(A--E,StickIntervalMarker(1,3,size=6));draw(B--D,StickIntervalMarker(1,3,size=6));
  2 KB (265 words) - 20:02, 29 January 2020
• 2008 AMC 10B Problems/Problem 19
  Let <math>\theta</math> be the size of the smaller angle <math>DAC</math>. We then have <math>\cos\theta = \fra The figure is symmetrical, so the angle <math>CAB</math> has size <math>2\cdot 60^\circ = 120^\circ</math>. Hence the shaded part consists of
  2 KB (373 words) - 13:21, 7 June 2021
• 2008 AMC 10A Problems/Problem 19
  size(220);pathpen=black+linewidth(0.65);pointpen=black;
  2 KB (321 words) - 17:52, 7 November 2021
• 2001 Iran NMO (Round 3) Problems/Problem 5
  size(300);
  3 KB (437 words) - 15:47, 27 April 2008
• 2008 USAMO Problems/Problem 2
  size(280); size(280);
  20 KB (3,565 words) - 11:54, 1 May 2024
• 2008 USAMO Problems/Problem 4
  size(200); defaultpen(linewidth(0.7)+fontsize(10)); size(200); defaultpen(linewidth(0.7)+fontsize(10));
  8 KB (1,318 words) - 12:37, 20 April 2022
• 2008 USAMO Problems/Problem 6
  ...llspace]]. Thus in particular the number of solutions, if non-zero, is the size of the nullspace of <math>A</math>, which is <math>2^{dim(Null(A))}</math> ...gonal of <math>A</math> consists of <math>1</math>s, so this says that the size of the diagonal of this submatrix is even. But this is also the number of <
  13 KB (2,414 words) - 14:37, 11 July 2016
• Fixer
  ...G</math> is <math>S_3</math>, the group of permutations acting on a set of size three, then the fixer of any element of the set is isomorphic to <math>\mat
  2 KB (303 words) - 18:47, 9 September 2008
• 2003 AMC 12A Problems/Problem 17
  size(8cm, 8cm);
  6 KB (1,026 words) - 22:35, 29 March 2023
• Nilpotent group
  ...rjective. Since <math>G</math> and <math>\prod_p P_p</math> have the same size, <math>f</math> is also injective, and hence an [[isomorphism]]. <math>\bl
  9 KB (1,768 words) - 17:55, 5 June 2008
• Sylow Theorems
  ...xtend this action canonically to the subsets of <math>G \times S</math> of size <math>p^r</math>. There are <math>\binom{p^r m}{p^r}</math> such subsets. since the <math>p</math>-group <math>G</math> operates on a set of size <math>\binom{p^r m}{p^r}</math> with <math>m</math> fixed points. <math>\b
  11 KB (2,071 words) - 12:25, 9 April 2019
• Approximation Techniques
  ...will often be quite large, but modern computers are not too worried by the size of most matrices.
  2 KB (322 words) - 21:03, 11 February 2009
• Statistics
  ...stics)|samples]] from a much larger [[population (statistics)|population]] size. ""Inferential statistics"" is used to draw inferences from the data after
  2 KB (212 words) - 22:42, 13 February 2016
• KGS math club
  ...lace an <math>n-</math>dimensional hypersphere, centered at the origin, of size so that it is tangent to each of the <math>2^n</math> hyperspheres of radiu
  22 KB (3,358 words) - 15:17, 18 July 2017
• 1995 AHSME Problems/Problem 26
  <asy>size(120); defaultpen(linewidth(0.7));
  2 KB (359 words) - 20:01, 23 January 2017
• 1995 AHSME Problems/Problem 9
  ...ning the midpoints of opposite sides. The total number of triangles of any size in the figure is
  760 bytes (100 words) - 13:59, 5 July 2013
• Latin square
  A '''Latin square''' of size <math>n</math> is an <math>n \times n</math> table filled with <math>n</mat The problem of counting the number of Latin squares of size <math>n</math> seems to be extremely difficult.
  447 bytes (82 words) - 12:50, 3 May 2023
• 1998 AHSME Problems
  <center><asy>size(150);
  15 KB (2,222 words) - 10:40, 11 August 2020
• 2003 USAMO Problems/Problem 4
  defaultpen(fontsize(10)+0.6); size(250); defaultpen(fontsize(10)+0.6); size(250);
  5 KB (820 words) - 02:39, 10 January 2023
• 2003 USAMO Problems/Problem 6
  size(300); size(300);
  5 KB (739 words) - 13:39, 4 July 2013
• 2001 IMO Shortlist Problems/C4
  *If k+b has been colored, it can't be in column x, due to size constraints as above.
  2 KB (494 words) - 17:34, 5 July 2020
• 2001 IMO Shortlist Problems/C7
  ...o the right, either the first column is still bigger or they have the same size. This means that at every point in the process, the amount of pebbles in ev ...<math>a</math> pebbles, two with <math>b</math> columns, and one of every size between. We can do this by inducting on the number of pebbles on <math>a -
  3 KB (567 words) - 16:49, 5 January 2021
• 2000 USAMO Problems/Problem 5
  size(300);
  3 KB (609 words) - 09:52, 20 July 2016
• 2008 iTest Problems
  size(350); draw((0,0)--(2,0),Arrows(size=7));
  71 KB (11,749 words) - 01:31, 2 November 2023
• Georg Cantor
  ...y of infinite sets]] using the symbol <math>\aleph</math> to represent the size. Because his work was so radical for his time, he encountered much resistan
  652 bytes (103 words) - 21:32, 13 August 2015
• Asymptote: Macintosh
  size(300);
  5 KB (732 words) - 00:47, 13 December 2023
• 1995 AHSME Problems/Problem 17
  <asy>size(100); defaultpen(linewidth(0.7));
  1 KB (201 words) - 16:29, 12 March 2024
• 2005 AMC 8 Problems
  <asy>size(3inch, 1.5inch); ...ice as much detergent as the small size and costs 30% more than the medium size. Rank the three sizes from best to worst buy.
  13 KB (1,821 words) - 22:18, 5 December 2023
• 2003 AMC 12A Problems/Problem 10
  ...es, <math>1/2</math>, <math>2/3</math>, and <math>5/6</math> of the pile's size (just before each came) remains. The pile starts at <math>1</math>, and at
  1 KB (213 words) - 10:16, 4 July 2013
• Van Aubel's Theorem
  size(220);
  2 KB (410 words) - 14:01, 4 March 2023
• 2002 AMC 12A Problems/Problem 9
  ...B each, and <math>12</math> files of <math>0.4</math> MB each. Their total size is <math>12\cdot (0.7 + 0.4) = 13.2</math> MB. The total capacity of <math>
  2 KB (355 words) - 20:42, 2 October 2023
• 1972 USAMO Problems/Problem 5
  size(120); size(120);
  4 KB (684 words) - 09:29, 26 March 2023
• 1972 USAMO Problems
  size(120);
  2 KB (350 words) - 15:28, 2 June 2018
• 1974 USAMO Problems
  size(400);
  3 KB (427 words) - 18:55, 3 July 2013
• 1975 USAMO Problems/Problem 2
  size(200);
  6 KB (1,096 words) - 23:07, 26 August 2017
• 1975 USAMO Problems/Problem 4
  size(150);
  2 KB (410 words) - 15:13, 13 August 2014
• 1962 IMO Problems/Problem 2
  size(300,300,IgnoreAspect);
  3 KB (445 words) - 14:43, 2 February 2009
• 1962 IMO Problems/Problem 7
  Then, the other three larger spheres which are the same size as the sphere with center at <math>C_1</math> are congruent and tangent to
  11 KB (1,928 words) - 20:52, 21 November 2023
• 1975 USAMO Problems
  size(150);
  2 KB (332 words) - 18:57, 3 July 2013
• 1976 USAMO Problems/Problem 2
  size(300);
  5 KB (848 words) - 23:41, 6 July 2020
• 1976 USAMO Problems
  size(300);
  3 KB (510 words) - 19:01, 3 July 2013
• 1998 AHSME Problems/Problem 25
  size(200); ...ow{ST}</math>, and the area of <math>SDT</math> is <math>1/2</math> of the size of <math>\overrightarrow{ST}\times\overrightarrow{SD}</math>.
  4 KB (722 words) - 19:47, 28 October 2022
• 1998 AHSME Problems/Problem 19
  size(250);
  2 KB (368 words) - 11:08, 4 February 2017
• 1998 AHSME Problems/Problem 11
  size(200);
  929 bytes (132 words) - 14:29, 5 July 2013
• 1999 AHSME Problems/Problem 18
  size(250,200,IgnoreAspect); size(250,200,IgnoreAspect);
  2 KB (270 words) - 14:35, 5 July 2013
• 2008 AMC 12B Problems/Problem 20
  size(400,300,IgnoreAspect);
  8 KB (1,241 words) - 17:55, 11 August 2023
• 1986 AJHSME Problems
  size(250); ...ath> students at King Middle School are divided into three groups of equal size for lunch. Each group has lunch at a different time. A computer randomly
  14 KB (2,054 words) - 15:41, 8 August 2020
• 1986 AJHSME Problems/Problem 16
  size(250);
  2 KB (372 words) - 21:22, 3 July 2013
• 1986 AJHSME Problems/Problem 24
  ...ath> students at King Middle School are divided into three groups of equal size for lunch. Each group has lunch at a different time. A computer randomly ...are assigned to the same group as Al. As the groups are large and of equal size, we can estimate that Bob and Carol each have a <math>\approx \frac{1}{3}</
  2 KB (226 words) - 17:16, 29 December 2023
• 2004 AMC 10B Problems/Problem 22
  size(15cm);
  5 KB (700 words) - 13:46, 6 April 2024
• 2002 AMC 12A Problems/Problem 10
  ...an eight-ounce cup and four ounces of cream into a second cup of the same size. She then pours half the coffee from the first cup to the second and, after
  3 KB (425 words) - 00:37, 1 February 2024
• 2009 AMC 12A Problems/Problem 23
  import graph; size(250);Label k; k.p=fontsize(6); int ymax = 400, ymin = -400; real rt = 175+1
  5 KB (862 words) - 02:04, 1 April 2024
• 1971 IMO Problems/Problem 6
  ...ments, all zero, which are pairwise in different rows of columns - let the size of this subset be <math>k</math>. (If there is no such subset, <math>S\ge n
  6 KB (1,192 words) - 14:14, 29 January 2021
• 2001 AMC 12 Problems/Problem 22
  size(250);
  7 KB (1,120 words) - 02:27, 29 August 2023
• Fractal
  size(400);
  915 bytes (163 words) - 18:28, 8 January 2012
• 2009 AMC 10A Problems/Problem 6
  ...herefore, the semicircle (which has the bigger radius), will be double the size of the small circle that is inscribed in it. Double means that <math>2</mat
  2 KB (380 words) - 09:21, 8 June 2021
• 2002 AMC 12A Problems/Problem 19
  size(200); size(200);
  2 KB (350 words) - 11:09, 18 July 2023
• 2009 AMC 12B Problems
  size(5cm);
  13 KB (2,030 words) - 03:04, 5 September 2021
• 2009 AMC 12B Problems/Problem 22
  The area of any parallelogram <math>ABCD</math> can be computed as the size of the vector product of <math>\overrightarrow{AB}</math> and <math>\overri
  6 KB (1,071 words) - 22:25, 9 October 2021
• 2009 AMC 12B Problems/Problem 25
  size(5cm); size(7.5cm);
  15 KB (2,229 words) - 03:36, 4 September 2021
• 2009 AIME I Problems/Problem 5
  size(300); size(300);
  8 KB (1,224 words) - 19:52, 7 March 2024
• 2009 AIME I Problems/Problem 12
  size(300);
  12 KB (1,970 words) - 22:53, 22 January 2024
• 2009 AIME I Problems/Problem 15
  defaultpen(fontsize(11)+0.8); size(300);
  6 KB (1,048 words) - 19:35, 2 January 2023
• 2009 AIME II Problems/Problem 1
  Since the stripes are of equal size, we have <math>b=r=w=p</math>. Since the amounts of paint end equal, we hav ...the fraction of the pink paint that is red paint and <math>x</math> is the size of each stripe. Then equations can be written: <math>ax = 164 - 130 = 34</m
  5 KB (875 words) - 22:11, 28 November 2023
• 2009 AIME II Problems/Problem 10
  size(120); pathpen = linewidth(0.7); pointpen = black; pen f = fontsize(10); pai size(120); pathpen = linewidth(0.7); pointpen = black; pen f = fontsize(10); pai
  9 KB (1,415 words) - 13:56, 18 December 2022
• 2009 AIME II Problems/Problem 13
  Therefore the size of the left hand side in our equation is <math>\prod_{k=1}^3 4 (\sin \frac{
  8 KB (1,266 words) - 20:27, 10 December 2023
• Determinant
  size(300);
  8 KB (1,345 words) - 00:31, 9 May 2020
• 2009 USAMO Problems/Problem 3
  size(400); pathpen = linewidth(2.5);
  2 KB (265 words) - 19:51, 6 May 2023
• 2009 USAMO Problems/Problem 2
  Let <math>n</math> be a positive integer. Determine the size of the largest subset of <math>\{ - n, - n + 1, \ldots , n - 1, n\}</math> ...th>S</math> be a subset of <math>\{-n,-n+1,\dots,n-1,n\}</math> of largest size satisfying <math>a+b+c\neq 0</math> for all <math>a,b,c\in S</math>. First,
  8 KB (1,444 words) - 03:44, 2 October 2015
• 2007 iTest Problems/Problem TB3
  ...hall now look at 3 cases for the left-most block of the original line with size 4014:
  2 KB (437 words) - 15:45, 4 May 2024
• 1989 AJHSME Problems/Problem 6
  ...aken to get from <math>0</math> to <math>20</math>. Each step is of equal size, so each step is <math>4</math>. Three steps are taken from <math>0</math>
  995 bytes (157 words) - 17:07, 29 April 2021
• 2009 USAMO Problems
  Let <math>n</math> be a positive integer. Determine the size of the largest subset of <math>\{ - n, - n + 1, \ldots , n - 1, n\}</math> size(400); pathpen = linewidth(2.5);
  4 KB (718 words) - 18:16, 17 September 2012
• Asymptote: Graphing
  size(300); size(300);
  2 KB (299 words) - 17:09, 15 March 2016
• 1991 AJHSME Problems/Problem 24
  ...ath>3</math> cm is cut into <math>N</math> smaller cubes, not all the same size. If the edge of each of the smaller cubes is a whole number of centimeters ...f the cubes have edge length <math>1</math>, meaning they all are the same size, a contradiction.
  940 bytes (154 words) - 00:08, 5 July 2013
• 1992 AJHSME Problems
  ...th a perimeter of <math>14</math> units. Two additional tiles of the same size are added to the figure so that at least one side of each tile is shared wi
  17 KB (2,346 words) - 13:36, 19 February 2020
• Asymptote: Example 1
  size(200); size(200);
  1 KB (161 words) - 01:58, 7 January 2010
• 2002 AMC 12A Problems/Problem 23
  size(12cm, 12cm);
  6 KB (899 words) - 01:41, 5 July 2023
• 2010 AMC 12A Problems/Problem 13
  size(200);
  9 KB (1,622 words) - 20:53, 11 September 2023
• 2007 AMC 8 Problems/Problem 2
  size(200);
  2 KB (199 words) - 12:21, 12 July 2021
• 2007 AMC 8 Problems/Problem 11
  size(400);
  2 KB (274 words) - 16:53, 26 November 2022
• Uniform convergence
  <center><asy> size(150);
  4 KB (622 words) - 19:20, 3 March 2010
• Proofs without words
  int n = 6; real r = 0.35, h = 3/4; /* radius size and horizontal spacing */ ...edit the size of the diagram, change the line unitsize(15); to the desired size.
  55 KB (7,986 words) - 17:04, 20 December 2018
• 2010 AIME I Problems/Problem 8
  <center><asy>import graph; size(10.22cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps ...rows(6),above=true); yaxis(ymin,ymax,defaultpen+black,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true); draw(circle((0,0),5),linewidth(1.6)); draw
  5 KB (891 words) - 00:39, 12 February 2021
• 2010 AIME I Problems/Problem 11
  <center><asy>size(280); <center><asy>size(200);
  4 KB (636 words) - 16:46, 25 November 2023
• 2010 AIME I Problems/Problem 13
  import graph; defaultpen(linewidth(0.7)+fontsize(10)); size(500);
  10 KB (1,418 words) - 23:05, 20 October 2021
• 2010 AIME I Problems/Problem 15
  import graph; defaultpen(linewidth(0.7)+fontsize(10)); size(200); ...C</math>. These have the same power, since they take incircles of the same size to the same circle. Also, the power of the homothety is <math>AX_{1}/AX=CX_
  14 KB (2,210 words) - 13:14, 11 January 2024
• Mock AIME 2 2010 Answer Key
  ...math>, so <math>A</math> must be nonempty. We will now use casework on the size of <math>A</math>.
  36 KB (6,214 words) - 20:22, 13 July 2023
• 2007 IMO Problems
  ...largest size of a clique contained in one room is the same as the largest size of a clique contained in the other room.
  3 KB (505 words) - 09:24, 10 September 2020
• 2010 AIME II Problems/Problem 14
  import graph; defaultpen(linewidth(0.7)+fontsize(10)); size(250); real lsf = 0.5; /* changes label-to-point distance */
  10 KB (1,507 words) - 00:31, 19 November 2023
• 1994 AJHSME Problems
  Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at the midpoin
  16 KB (2,292 words) - 13:36, 19 February 2020
• 2010 AIME II Problems/Problem 8
  Regardless of the size <math>n</math> of <math>A</math> (ignoring the case when <math>n = 6</math> ...h>\dbinom{10}{5}</math> cases where <math>A</math> and <math>B</math> have size <math>6</math>.
  4 KB (699 words) - 20:57, 20 July 2023
• LaTeX:LaTeX on AoPS
  ...math>f(x) = \pi(\frac{\sqrt{x}}{x-1}).</cmath> To automatically adjust the size of parentheses to fit the expression inside of them, we type <code>\left(..
  8 KB (1,356 words) - 22:35, 26 June 2020
• 2010 USAMO Problems
  ...cute angle formed by lines <math>PQ</math> and <math>RS</math> is half the size of <math>\angle XOZ</math>, where <math>O</math> is the midpoint of segment
  3 KB (525 words) - 13:44, 4 July 2013
• 2010 USAJMO Problems
  ...cute angle formed by lines <math>PQ</math> and <math>RS</math> is half the size of <math>\angle XOZ</math>, where <math>O</math> is the midpoint of segment
  3 KB (538 words) - 13:55, 16 June 2020
• 2010 USAMO Problems/Problem 1
  formed by lines <math>PQ</math> and <math>RS</math> is half the size of <math>\angle XOZ</math>, where size(12cm);
  13 KB (2,178 words) - 14:14, 11 September 2021
• 2010 AIME II Problems/Problem 15
  size(250);
  9 KB (1,523 words) - 15:24, 21 November 2023
• 2010 IMO Problems/Problem 4
  <center><asy> import graph; size(10.71cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(9); defaultpen(dps) import graph; size(10.71cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(9); defaultpen(dps)
  6 KB (895 words) - 18:32, 2 April 2021
• 1982 AHSME Problems/Problem 9
  size(350);
  2 KB (315 words) - 12:30, 19 October 2020
• 2008 iTest Problems/Problem 77
  size(5cm,10cm); Every Pascal's triangle of size <math>2^n</math> can be decomposed
  5 KB (788 words) - 05:15, 28 January 2019
• Python reference
  To clarify, suppose we make a House class. House objects will have a size and location as part of their data (in the same way that a string object ha A house has a size, represented by the length of one side
  28 KB (4,762 words) - 21:20, 12 June 2023
• 2004 AMC 8 Problems
  ...a new figure is created by attaching a border of white tiles with the same size and shape as the others, what will be the difference between the total numb
  13 KB (1,860 words) - 19:58, 8 May 2023
• 2006 AMC 8 Problems
  <asy>size(96); <asy>size(100);
  16 KB (2,215 words) - 19:18, 10 April 2024
• 2002 AMC 8 Problems/Problem 8
  size(3inch, 1.5inch);
  2 KB (250 words) - 01:37, 6 January 2024
• 1999 AMC 8 Problems/Problem 15
  ...s above, the number of combinations of plates is simply the product of the size of each set of letters.
  3 KB (516 words) - 14:50, 21 December 2022
• 2011 AMC 12A Problems
  size(100); defaultpen(linewidth(.8pt)+fontsize(8pt));
  13 KB (1,994 words) - 13:52, 3 July 2021
• 2011 AMC 12A Problems/Problem 2
  size(100); defaultpen(linewidth(.8pt)+fontsize(8pt));
  1 KB (175 words) - 16:43, 4 November 2023
• 2011 AMC 12A Problems/Problem 12
  size(8cm,8cm);
  5 KB (928 words) - 23:01, 14 April 2022
• 2011 AMC 12A Problems/Problem 25
  size(200);
  6 KB (1,046 words) - 13:05, 28 June 2022
• 1993 AHSME Problems
  size((400));
  20 KB (2,814 words) - 08:15, 27 June 2021
• 2021 AIME II Problems/Problem 5
  size(300); size(250);
  14 KB (2,269 words) - 00:43, 2 January 2023
• 2011 AMC 10A Problems/Problem 23
  ...\dfrac{b+1}2.</math> We can guess that <math>729</math> is about the right size for <math>b</math> (<math>b</math> must be an exponent of <math>3</math>);
  6 KB (926 words) - 23:38, 8 April 2024
• 2007 AMC 8 Problems/Problem 16
  size(75); size(75);
  2 KB (332 words) - 12:22, 16 August 2021
• 2011 AMC 12B Problems/Problem 25
  size(10cm); size(10cm);
  8 KB (1,339 words) - 10:42, 24 September 2022
• Descartes' Circle Formula
  size(200); size(150);
  2 KB (288 words) - 21:00, 24 December 2017
• 2001 AMC 10 Problems/Problem 24
  import graph; size(7cm);
  5 KB (772 words) - 17:58, 3 March 2024
• 2011 AIME I Problems/Problem 4
  defaultpen(fontsize(10)+0.8); size(200);
  6 KB (1,068 words) - 18:52, 2 August 2023
• 2002 AMC 8 Problems
  size(3inch, 1.5inch); size(330);
  15 KB (2,102 words) - 09:58, 5 May 2024
• 2011 AIME I Problems/Problem 14
  size(250);
  8 KB (1,344 words) - 18:39, 9 February 2023
• 2011 AIME II Problems/Problem 2
  size(2inch, 2inch);
  1 KB (214 words) - 17:02, 9 August 2018
• Rhode Island MathCounts
  Due to its small size, Rhode Island has no chapters. Instead, students progress straight to the s
  9 KB (1,234 words) - 08:31, 2 May 2024
• 2001 AMC 8 Problems/Problem 8
  size(85);
  1 KB (213 words) - 01:56, 17 January 2021
• 2001 AMC 8 Problems/Problem 19
  ...e speed, car N must take half the time. Therefore, line N must be half the size of line M. Since the speeds are constant, both lines are horizontal. Review
  2 KB (397 words) - 23:05, 13 August 2019
• Asymptote: 3D graphics
  size(200); size(200);
  4 KB (568 words) - 10:54, 8 October 2021
• 2003 AMC 8 Problems
  size(80);defaultpen(linewidth(0.8));defaultpen(fontsize(8)); size(80);defaultpen(linewidth(0.8));defaultpen(fontsize(8));
  16 KB (2,236 words) - 12:02, 19 February 2024
• Autograph
  size(75); int size = 300;
  17 KB (2,910 words) - 15:01, 2 September 2011
• Mersenne prime
  ...nents that have factors less than 72 bits (originally, now pushing 80+) in size, using binary exponentiation.
  2 KB (318 words) - 10:29, 26 February 2020
• 1997 USAMO Problems/Problem 4
  size(200);
  2 KB (311 words) - 18:29, 12 October 2019
• 2005 CEMC Gauss (Grade 7) Problems
  size(80,80); size(300);
  16 KB (2,317 words) - 03:54, 24 October 2014
• 2009 AMC 8 Problems
  size(80); size(350);
  18 KB (2,551 words) - 18:46, 27 February 2024
• 2002 AMC 8 Problems/Problem 6
  size(450);
  1 KB (201 words) - 17:51, 19 December 2023
• 2002 AMC 8 Problems/Problem 9
  size(3inch, 1.5inch);
  2 KB (240 words) - 03:56, 6 January 2024
• 2002 AMC 8 Problems/Problem 10
  size(3inch, 1.5inch);
  2 KB (253 words) - 22:32, 17 February 2024
• 2002 AMC 8 Problems/Problem 24
  Miki has a dozen oranges of the same size and a dozen pears of the same size. Miki uses her juicer to extract 8 ounces of pear juice from 3 pears and 8
  2 KB (247 words) - 20:03, 15 April 2023
• 2002 AMC 8 Problems/Problem 15
  size(330);
  1 KB (197 words) - 04:47, 25 November 2019
• 1996 AHSME Problems/Problem 30
  import olympiad; import geometry; size(150); defaultpen(linewidth(0.8));
  10 KB (1,515 words) - 13:09, 20 December 2023
• 1997 AHSME Problems/Problem 6
  The average of a list is the sum of all numbers divided by the size of the list.
  888 bytes (149 words) - 14:12, 5 July 2013
• 1997 AHSME Problems/Problem 23
  size(6cm);
  3 KB (473 words) - 23:53, 28 January 2021
• 2008 AMC 8 Problems/Problem 4
  size((70));
  968 bytes (130 words) - 19:39, 15 April 2023
• 2008 AMC 8 Problems/Problem 6
  size((70));
  913 bytes (136 words) - 19:21, 8 August 2021
• 2008 AMC 8 Problems/Problem 14
  size((80));
  1 KB (161 words) - 21:28, 1 January 2024
• 2008 AMC 8 Problems/Problem 18
  size((150));
  2 KB (210 words) - 13:37, 19 October 2020
• 2008 AMC 8 Problems/Problem 19
  size((50));
  1 KB (179 words) - 00:41, 2 July 2023
• CSS: Basics
  <li>background-size</li> <code>background: color position/size repeat attachment image;</code>
  3 KB (523 words) - 14:18, 11 March 2024
• 2010 AMC 8 Problems/Problem 23
  import graph; size(7.5cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps);
  2 KB (298 words) - 00:29, 18 December 2023
• 2009 AMC 8 Problems/Problem 4
  size(80); size(350);
  5 KB (633 words) - 01:56, 26 November 2023
• 2009 AMC 8 Problems/Problem 7
  size(250);
  2 KB (315 words) - 08:23, 30 May 2023
• 1994 AJHSME Problems/Problem 12
  Each of the three large squares shown below is the same size. Segments that intersect the sides of the squares intersect at the midpoin
  2 KB (250 words) - 00:13, 5 July 2013
• 1996 AHSME Problems
  size(120); size(120);
  15 KB (2,343 words) - 13:39, 19 February 2020
• 1996 AHSME Problems/Problem 19
  size(120); size(120);
  3 KB (540 words) - 21:32, 10 July 2017
• 1996 AHSME Problems/Problem 21
  size(120); size(120);
  3 KB (512 words) - 21:40, 13 January 2014
• 1996 AHSME Problems/Problem 25
  import olympiad; import geometry; size(150); defaultpen(linewidth(0.8));
  9 KB (1,441 words) - 17:51, 22 October 2023
• 1996 AHSME Problems/Problem 28
  size(120);
  3 KB (545 words) - 10:21, 16 September 2022
• 1992 AJHSME Problems/Problem 22
  ...th a perimeter of <math>14</math> units. Two additional tiles of the same size are added to the figure so that at least one side of each tile is shared wi
  1 KB (160 words) - 00:10, 5 July 2013
• 2010 PUMaC Problems
  size(120); defaultpen(linewidth(0.7)+fontsize(10)); size(120); defaultpen(linewidth(0.7)+fontsize(10));
  22 KB (3,694 words) - 23:58, 3 June 2022
• 2016 AMC 10A Problems/Problem 19
  size(6cm); size(9cm);
  8 KB (1,386 words) - 15:10, 8 October 2023
• 2003 AMC 8 Problems/Problem 8
  size(80);defaultpen(linewidth(0.8));defaultpen(fontsize(8)); size(80);defaultpen(linewidth(0.8));defaultpen(fontsize(8));
  2 KB (320 words) - 00:47, 5 July 2013
• 2003 AMC 8 Problems/Problem 25
  size(225);
  2 KB (387 words) - 19:58, 15 April 2023
• 2003 AMC 8 Problems/Problem 24
  <asy>size(150);
  2 KB (266 words) - 01:22, 2 July 2023
• 2009 PUMaC Problems
  size(180); pathpen = linewidth(0.7); pointpen = black+linewidth(3); pointfontpen size(180); pathpen = linewidth(0.7); pointpen = black+linewidth(3); pointfontpen
  25 KB (4,154 words) - 16:27, 2 September 2011
• 2006 AMC 8 Problems/Problem 4
  <asy>size(96);
  2 KB (191 words) - 12:38, 20 June 2022
• 2006 AMC 8 Problems/Problem 5
  <asy>size(100);
  1 KB (222 words) - 17:08, 2 January 2023
• 2006 AMC 8 Problems/Problem 6
  size(150);
  809 bytes (117 words) - 21:45, 2 January 2023
• 2006 AMC 8 Problems/Problem 10
  size(75); size(75);
  2 KB (227 words) - 20:15, 19 March 2019
• 1985 AHSME Problems
  size(100);
  17 KB (2,488 words) - 03:26, 20 March 2024
• 2005 CEMC Gauss (Grade 7) Problems/Problem 3
  size(80,80);
  2 KB (272 words) - 01:43, 23 October 2014
• 2003 AMC 8 Problems/Problem 9
  <asy>size(80);defaultpen(linewidth(0.8));defaultpen(fontsize(8)); <asy>size(80);defaultpen(linewidth(0.8));defaultpen(fontsize(8));
  2 KB (304 words) - 19:14, 28 August 2016
• 2003 AMC 8 Problems/Problem 10
  <asy>size(80);defaultpen(linewidth(0.8));defaultpen(fontsize(8)); <asy>size(80);defaultpen(linewidth(0.8));defaultpen(fontsize(8));
  2 KB (245 words) - 00:47, 5 July 2013
• 1985 AHSME Problems/Problem 2
  size(100);
  1 KB (181 words) - 18:35, 19 March 2024
• BBCode:Tutorial
  ===The Size Button=== ...er you click on one of them, you should get something like [size=75] and [/size].
  10 KB (1,680 words) - 19:26, 5 April 2023
• 2006 AMC 8 Problems/Problem 19
  size(100);
  1 KB (195 words) - 21:47, 2 January 2023
• 2010 AMC 8 Problems
  import graph; size(16.38cm); real lsf=2; pathpen=linewidth(0.7); pointpen=black; pen fp = font import graph; size(300);
  18 KB (2,768 words) - 21:05, 9 January 2024
• 2011 AMC 8 Problems
  <math>\textbf{(C) }\text{The gardens are the same size.}</math> import graph; size(7.01cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps)
  16 KB (2,371 words) - 17:34, 9 January 2024
• 2011 AMC 8 Problems/Problem 2
  <math>\textbf{(C)}\ \text{The gardens are the same size.}</math>
  1 KB (155 words) - 12:35, 13 November 2016
• 2011 AMC 8 Problems/Problem 25
  ...squares to be <math>1,</math> they would have to be approximately the same size. For any ratio larger than that, the circle's shaded area must be greater.
  3 KB (511 words) - 07:47, 22 May 2023
• 2006 AMC 8 Problems/Problem 17
  size(200);
  2 KB (330 words) - 05:08, 22 July 2018
• 1973 Canadian MO Problems
  size(200);
  4 KB (540 words) - 18:23, 8 October 2014
• 2011 AMC 8 Problems/Problem 7
  import graph; size(7.01cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps)
  4 KB (557 words) - 00:30, 4 January 2023
• 2011 AMC 8 Problems/Problem 9
  import graph; size(8.76cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps)
  2 KB (279 words) - 20:27, 17 April 2021
• 2011 AMC 8 Problems/Problem 11
  size(300);
  2 KB (346 words) - 15:00, 17 December 2023
• CSS: Properties
  *background-size *font-size
  474 bytes (40 words) - 11:04, 26 January 2012
• 2012 AMC 10A Problems/Problem 25
  size(150); size(150);
  13 KB (2,133 words) - 01:22, 6 February 2024
• 2012 AMC 10A Problems
  size(200); size(5cm);
  13 KB (1,994 words) - 01:31, 22 December 2023
• 2012 AMC 12A Problems
  size(6cm); ...math> has a sum divisible by <math>5</math>. What is the largest possible size of <math>S</math>?
  14 KB (2,197 words) - 13:34, 12 August 2020
• 2012 AMC 12A Problems/Problem 16
  size(8cm,8cm);
  9 KB (1,496 words) - 02:40, 2 October 2022
• 2012 AMC 12A Problems/Problem 17
  ...math> has a sum divisible by <math>5</math>. What is the largest possible size of <math>S</math>?
  3 KB (519 words) - 19:01, 30 March 2024
• 2004 USAMO Problems/Problem 3
  The rectangle <math>ABCD</math> is similar to a rectangle of size <math>1\times f_n(r)</math>, where
  4 KB (747 words) - 13:57, 18 July 2014
• 2012 AMC 10B Problems
  size(10cm);
  18 KB (2,350 words) - 18:48, 9 July 2023
• 2012 AMC 10B Problems/Problem 25
  size(10cm); size(10cm);
  16 KB (1,605 words) - 20:31, 23 October 2021
• 2012 AMC 12B Problems/Problem 15
  ...tral angles, the smaller arc, a <math>120</math> degree angle, is half the size of the larger sector. so the smaller arc is <math>8\pi</math>, and the larg
  2 KB (259 words) - 13:42, 2 September 2020
• 2012 AMC 12B Problems
  size(7.5cm); size(200);
  20 KB (2,681 words) - 09:47, 29 June 2023
• 2012 AMC 12B Problems/Problem 17
  <asy> size(7cm); pair A=(0,0),B=(1,1.5),D=B*dir(-90),C=B+D-A; draw((-4,-2)--(8,-2), Ar <asy> size(14cm);
  12 KB (2,183 words) - 21:05, 23 December 2023
• 2012 AMC 12B Problems/Problem 21
  size(200); size(200); defaultpen(fontsize(10)+linewidth(1)); pair A=origin,B=(2.5,0),C=B+2.
  9 KB (1,451 words) - 10:01, 27 December 2022
• 2012 AMC 12B Problems/Problem 19
  size(7.5cm);
  5 KB (815 words) - 21:59, 19 September 2023
• 2012 AMC 10B Problems/Problem 14
  size(8cm);
  3 KB (450 words) - 09:14, 15 December 2023
• 2003 AMC 8 Problems/Problem 21
  size(4inch,2inch);
  1 KB (208 words) - 17:18, 3 April 2022
• 2010 AMC 8 Problems/Problem 19
  import graph; size(300); real lsf = 0.5; pen dp = linewidth(0.7) + fontsize(10); defaultpen(dp
  2 KB (279 words) - 09:04, 10 March 2023
• 2010 AMC 8 Problems/Problem 17
  import graph; size(300);
  3 KB (459 words) - 21:04, 23 December 2023
• 2015 AIME I Problems
  size(8cm); size(lpic,5cm);
  10 KB (1,615 words) - 21:48, 13 January 2024
• 2012 AIME I Problems/Problem 12
  <center><asy>import cse5;size(200);
  9 KB (1,523 words) - 12:23, 7 September 2022
• 2012 AIME I Problems/Problem 13
  size(200); import cse5; size(350); defaultpen(linewidth(0.6)+fontsize(12));
  11 KB (1,889 words) - 20:42, 25 January 2023
• 1968 IMO Problems/Problem 1
  ...rmutation of <math>a</math>, <math>b</math> and <math>c</math> in terms of size gives integral values to <math>(*)</math> [show]. So there is only one such
  4 KB (729 words) - 08:47, 9 March 2019
• 2012 AIME II Problems/Problem 15
  size(150); size(175);
  13 KB (2,298 words) - 12:56, 10 September 2023
• Mock AIME II 2012 Problems/Problem 6
  size(200);
  3 KB (478 words) - 03:06, 5 April 2012
• Mock AIME II 2012 Problems/Problem 9
  import graph; size(12cm); import graph; usepackage("amsmath"); size(10cm);
  7 KB (1,069 words) - 14:04, 27 December 2012
• 2010 AMC 8 Problems/Problem 18
  import graph; size(5cm); real lsf=0; pen dps=linewidth(0.7)+fontsize(8); defaultpen(dps); pen
  2 KB (301 words) - 09:04, 10 March 2023
• 1974 AHSME Problems
  size((400));
  15 KB (2,151 words) - 14:04, 19 February 2020
• 1974 AHSME Problems/Problem 25
  size((400));
  2 KB (232 words) - 12:44, 5 July 2013
• 2010 AMC 8 Problems/Problem 3
  import graph; size(16.38cm); real lsf=2; pathpen=linewidth(0.7); pointpen=black; pen fp = font
  5 KB (847 words) - 19:59, 5 February 2023
• 1980 AHSME Problems/Problem 10
  ...h>, and <math>z</math>, respectively. (The teeth on all gears are the same size and regularly spaced.) The angular speeds, in revolutions per minutes of <m
  935 bytes (165 words) - 15:28, 22 April 2016
• 1953 AHSME Problems
  ...ximum size is cut out of a square piece and then a square piece of maximum size is cut out of the circular piece. The total amount of metal wasted is:
  21 KB (3,123 words) - 14:24, 20 February 2020
• 1955 AHSME Problems
  size(200);defaultpen(linewidth(0.7)+fontsize(10));
  22 KB (3,509 words) - 21:29, 31 December 2023
• 1980 AHSME Problems
  ...h>, and <math>z</math>, respectively. (The teeth on all gears are the same size and regularly spaced.) The angular speeds, in revolutions per minutes of <m A bug (of negligible size) starts at the origin on the coordinate plane. First, it moves one unit rig
  15 KB (2,302 words) - 10:47, 30 April 2021
• 2003 AMC 8 Problems/Problem 22
  size(3inch, 2inch);
  3 KB (441 words) - 20:09, 15 January 2024
• 1961 AHSME Problems/Problem 40
  <asy>import graph; size(8.22 cm); real lsf=0.5; pen dps=linewidth(0.7)+fontsize(10); defaultpen(dps ...rows(6),above=true); yaxis(ymin,ymax,defaultpen+black,Ticks(laxis,Step=1.0,Size=2,NoZero),Arrows(6),above=true);
  3 KB (436 words) - 22:31, 11 June 2020
• 1998 USAMO Problems/Problem 6
  size(10cm); size(10cm);
  5 KB (871 words) - 18:59, 10 May 2023
• 1989 AHSME Problems/Problem 23
  Squares of size <math>1\times1,\ 2\times2,\ 3\times3,\ ...</math> are successively enclosed
  3 KB (387 words) - 14:24, 21 June 2023
• 1989 AHSME Problems/Problem 22
  ...he material is represented by the factor <math>(1+1x)</math>, choosing the size by the factor <math>(1+2x)</math>, etc: ...od and the other plastic, so that in each cuboid the z axis represents the size, the x axis the color, and the y axis the shape.
  3 KB (507 words) - 20:48, 6 December 2021
• 2020 Mock Combo AMC 10
  <asy> size(3.5cm); pair A[]; for (int i=0; i<7; ++i) { A[i] = rotate(30+60*i)*(1,0); }
  15 KB (2,452 words) - 03:03, 4 July 2020
• 2008 AMC 8 Problems/Problem 23
  size((100)); size((100));
  3 KB (418 words) - 21:28, 26 December 2023
• 2008 AMC 8 Problems
  size((70)); size((70));
  14 KB (2,035 words) - 15:23, 26 January 2024
• Viviani's theorem
  import graph; size(8.cm);
  4 KB (420 words) - 14:13, 4 June 2021
• 2012 AMC 8 Problems
  size(0,50);
  13 KB (1,835 words) - 08:51, 8 March 2024
• 2012 AMC 8 Problems/Problem 24
  size(0,50); size(0,50);
  2 KB (310 words) - 16:18, 10 November 2023
• 2004 AMC 8 Problems/Problem 15
  ...a new figure is created by attaching a border of white tiles with the same size and shape as the others, what will be the difference between the total numb
  1 KB (215 words) - 20:20, 12 October 2020
• 2004 AMC 8 Problems/Problem 23
  size(80);defaultpen(linewidth(0.8)); size(80);defaultpen(linewidth(0.8));
  2 KB (308 words) - 17:26, 25 July 2021
• 2005 AMC 8 Problems/Problem 19
  <asy>size(3inch, 1.5inch);
  1 KB (180 words) - 21:49, 2 January 2023
• 2005 AMC 8 Problems/Problem 22
  ...ice as much detergent as the small size and costs 30% more than the medium size. Rank the three sizes from best to worst buy. ...rge size costs <math>\textdollar 1.95</math>. The small, medium, and large size cost respectively, <math>0.200, 0.188, 0.195</math> dollars per oz. The siz
  1 KB (185 words) - 20:36, 15 January 2024
• 1951 AHSME Problems/Problem 25
  First we try to find the size of the square. Let <math>s</math> be the side length of the square. It stat
  2 KB (262 words) - 12:24, 5 July 2013
• 2013 AMC 12A Problems
  size(180); size(180);
  14 KB (2,204 words) - 20:25, 22 November 2020
• 2013 AMC 10A Problems/Problem 25
  size(14cm); size(8cm);
  6 KB (1,054 words) - 09:21, 28 December 2021
• 2013 AMC 12A Problems/Problem 11
  size(180);
  2 KB (322 words) - 20:12, 24 November 2020
• 2013 AMC 12A Problems/Problem 9
  size(180);
  2 KB (352 words) - 16:25, 12 August 2023
• 2013 AMC 12A Problems/Problem 17
  ...how this value changes as each pirate takes their share. At each step, the size of the pile is multiplied by some <math>\frac{n}{12}</math>. This means the
  3 KB (502 words) - 01:36, 11 October 2020
• 2013 AMC 12A Problems/Problem 19
  size(8cm);
  3 KB (546 words) - 15:24, 19 September 2021
• 2013 AMC 10A Problems/Problem 12
  size(180);
  2 KB (376 words) - 11:09, 30 July 2022
• 2013 AMC 10A Problems/Problem 18
  size(8cm); size(8cm);
  4 KB (592 words) - 22:19, 2 November 2023
• 2013 AMC 10A Problems/Problem 20
  size(200); size(150);defaultpen(linewidth(0.8));
  4 KB (701 words) - 17:55, 23 July 2021
• 2013 AMC 10A Problems
  size(180);
  12 KB (1,894 words) - 15:59, 3 January 2024
• 2013 AMC 12B Problems/Problem 19
  size(200);
  6 KB (1,004 words) - 22:38, 18 June 2023
• 2013 AIME I Problems
  size(100);</asy> size(12cm);
  9 KB (1,580 words) - 13:07, 24 February 2024
• 2013 AIME I Problems/Problem 6
  1. Math books in the 3-size box. Probability is <math>\frac{3\cdot2\cdot1}{12\cdot11\cdot10}</math>, be 2. In the 4-size: same logic gets you <math>\frac{1}{55}</math>, since we have <math>4</math
  5 KB (831 words) - 17:20, 9 January 2024
• 2013 AIME I Problems/Problem 4
  size(100);</asy>
  2 KB (291 words) - 20:04, 24 January 2021
• 2013 AIME I Problems/Problem 9
  size(12cm); <asy> import cse5; size(8cm); pen tpen = defaultpen + 1.337;
  9 KB (1,530 words) - 17:12, 18 April 2024
• 2013 AIME II Problems/Problem 13
  size(200); size(200);
  13 KB (2,116 words) - 23:24, 21 March 2024
• 2003 AMC 12B Problems/Problem 10
  size(200);
  1 KB (237 words) - 23:06, 3 February 2020
• CSS: Positioning
  ...> is a positive integer, is equal to <math>n</math> times the current font size.
  4 KB (677 words) - 08:35, 11 May 2013
• 2013 USAMO Problems/Problem 1
  size(11cm); import graph; size(12cm);
  14 KB (1,830 words) - 18:22, 10 May 2023
• Rotation
  size(5cm);
  3 KB (432 words) - 23:22, 13 January 2021
• 2014 AIME II Problems/Problem 8
  import graph; size(7.99cm);
  6 KB (826 words) - 21:31, 9 January 2024
• 2014 AIME II Problems/Problem 14
  import graph; size(15cm);
  11 KB (1,442 words) - 19:28, 21 October 2023
• Northeastern WOOTers Mock AIME I Problems
  size(200); size(100);
  8 KB (1,336 words) - 09:10, 30 May 2020
• Mock AIME I 2015 Problems
  size(140); size(180);
  9 KB (1,463 words) - 14:48, 12 February 2017
• 2016 AMC 10A Problems
  size(6cm); size(6cm);
  14 KB (2,104 words) - 22:26, 16 September 2022
• 2013 AMC 8 Problems
  size(3inch); size(8cm);
  15 KB (2,162 words) - 20:05, 8 May 2023
• 2013 AMC 8 Problems/Problem 25
  size(8cm); draw((100,0)--(150,-50sqrt(3)),Arrow(size=4));
  3 KB (519 words) - 19:28, 21 December 2023
• 1994 AHSME Problems
  size(200);
  14 KB (2,124 words) - 13:39, 19 February 2020
• 1981 AHSME Problems
  size(200); size(150);
  17 KB (2,633 words) - 15:44, 16 September 2023
• 1952 AHSME Problems/Problem 22
  size(150);
  1 KB (175 words) - 22:24, 20 January 2014
• 1967 AHSME Problems/Problem 32
  import graph; size(5cm);
  4 KB (560 words) - 18:56, 17 December 2023
• 1967 AHSME Problems/Problem 40
  size(12cm);
  7 KB (1,089 words) - 15:48, 11 November 2023

View (previous 500 | next 500) (20 | 50 | 100 | 250 | 500)