User contributions
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- 14:16, 3 July 2023 (diff | hist) . . (0) . . 2023 SSMO Speed Round Problems (current)
- 14:07, 3 July 2023 (diff | hist) . . (+46) . . N 2023 SSMO Speed Round Answer Key (Created page with "#8 #5 #15625 #50 #96 #167 #58 #1649 #688 #1072") (current)
- 14:06, 3 July 2023 (diff | hist) . . (-47) . . 2023 SSMO Speed Round
- 14:06, 3 July 2023 (diff | hist) . . (-3,208) . . 2023 SSMO Speed Round
- 14:06, 3 July 2023 (diff | hist) . . (+4,067) . . N 2023 SSMO Speed Round Problems (Created page with "==Problem 1== Let <math>S_1 = \{2,0,3\}</math> and <math>S_2 = \{2,20,202,2023\}.</math> Find the last digit of <cmath>\sum_{a\in S_1,b\in S_2}a^b.</cmath> 2022 SSMO Speed R...")
- 14:04, 3 July 2023 (diff | hist) . . (+1,278) . . N 2022 SSMO Speed Round Problems/Problem 10 (Created page with "==Problem== In a circle centered at <math>O</math> with radius <math>7,</math> we have non-intersecting chords <math>AB</math> and <math>DC.</math> <math>O</math> is outisde o...")
- 14:03, 3 July 2023 (diff | hist) . . (-851) . . 2022 SSMO Speed Round Problems/Problem 8
- 14:03, 3 July 2023 (diff | hist) . . (-106) . . 2022 SSMO Speed Round Problems/Problem 8
- 14:01, 3 July 2023 (diff | hist) . . (+2,504) . . N 2022 SSMO Speed Round Problems/Problem 8 (Created page with "==Problem== Circle <math>\omega</math> has chord <math>AB</math> of length <math>18</math>. Point <math>X</math> lies on chord <math>AB</math> such that <math>AX = 4.</math> C...")
- 14:01, 3 July 2023 (diff | hist) . . (+17) . . 2022 SSMO Speed Round Problems/Problem 6
- 14:00, 3 July 2023 (diff | hist) . . (+526) . . N 2022 SSMO Speed Round Problems/Problem 9 (Created page with "==Problem== Find the sum of the maximum and minimum values of <math>8x^2+7xy+5y^2</math> under the constraint that <math>3x^2+5xy+3y^2 = 88.</math> ==Solution== We want to m...")
- 13:59, 3 July 2023 (diff | hist) . . (+1,208) . . N 2022 SSMO Speed Round Problems/Problem 7 (Created page with "==Problem== At FenZhu High School, <math>7</math>th graders have a 60\% of chance of having a dog and <math>8</math>th graders have a 40\% chance of having a dog. Suppose ther...")
- 13:59, 3 July 2023 (diff | hist) . . (+537) . . N 2022 SSMO Speed Round Problems/Problem 6 (Created page with "==Problem== Find the smallest odd prime that does not divide <math>2^{75!} - 1</math>. ==Solution== Let this odd prime be <math>p</math>. Note that <math>2^{75!} - 1</math>...")
- 13:59, 3 July 2023 (diff | hist) . . (+748) . . N 2022 SSMO Speed Round Problems/Problem 5 (Created page with "==Problem== In a parallelogram <math>ABCD</math> of dimensions <math>6\times 8,</math> a point <math>P</math> is choosen such that <math>\angle{APD}+\angle{BPC} = 180^{\circ}....")
- 13:59, 3 July 2023 (diff | hist) . . (+1,336) . . N 2022 SSMO Speed Round Problems/Problem 4 (Created page with "==Problem== Let <math>F_1 = F_2 = 1</math> and <math>F_n = F_{n-1} + F_{n-2}</math> for all <math>n\geq 2</math> be the Fibonacci numbers. If distinct positive integers <math>...")
- 13:58, 3 July 2023 (diff | hist) . . (+1,453) . . N 2022 SSMO Speed Round Problems/Problem 3 (Created page with "==Problem== Pigs like to eat carrots. Suppose a pig randomly chooses 6 letters from the set <math>\{c,a,r,o,t\}.</math> Then, the pig randomly arranges the 6 letters to form a...")
- 13:46, 3 July 2023 (diff | hist) . . (+1,371) . . N 2022 SSMO Speed Round Problems/Problem 2 (Created page with "==Problem== Let <math>A</math>, <math>B</math>, <math>C</math> be independently chosen vertices lying in the square with coordinates <math>(-1, - 1)</math>, <math>(-1, 1)</mat...")
- 13:44, 3 July 2023 (diff | hist) . . (-13) . . 2022 SSMO Speed Round Problems/Problem 1
- 13:43, 3 July 2023 (diff | hist) . . (-17) . . 2022 SSMO Speed Round Problems/Problem 1
- 13:43, 3 July 2023 (diff | hist) . . (+3) . . 2022 SSMO Speed Round Problems/Problem 1
- 13:42, 3 July 2023 (diff | hist) . . (+17) . . 2022 SSMO Speed Round Problems/Problem 1
- 13:42, 3 July 2023 (diff | hist) . . (-9) . . 2022 SSMO Speed Round Problems/Problem 1
- 13:41, 3 July 2023 (diff | hist) . . (+10) . . 2022 SSMO Speed Round Problems/Problem 1
- 13:40, 3 July 2023 (diff | hist) . . (+153) . . 2022 SSMO Speed Round Problems/Problem 1
- 13:39, 3 July 2023 (diff | hist) . . (+693) . . N 2022 SSMO Speed Round Problems/Problem 1 (Created page with "Since the power of <math>0</math> to an integer is always <math>0</math>, it follows that we want to find the last digit of \begin{align*} &2^2 + 2^{20} + 2^{202} + 2^{2...")
- 13:39, 3 July 2023 (diff | hist) . . (+5) . . 2023 SSMO Speed Round
- 13:31, 3 July 2023 (diff | hist) . . (+4,062) . . N 2023 SSMO Speed Round (Created page with "==Problem 1== Let <math>S_1 = \{2,0,3\}</math> and <math>S_2 = \{2,20,202,2023\}.</math> Find the last digit of \[ \sum_{a\in S_1,b\in S_2}a^b. \] 2022 SSMO Speed Round...")
- 09:16, 8 June 2023 (diff | hist) . . (-2) . . SMO Problem Archive
- 09:15, 8 June 2023 (diff | hist) . . (-10) . . SMO Problem Archive
- 22:02, 31 May 2023 (diff | hist) . . (+13) . . N 2022 SSMO Tiebreaker Round Answer Key (Created page with "#542 #461 #76") (current)
- 22:01, 31 May 2023 (diff | hist) . . (+941) . . N 2022 SSMO Tiebreaker Round Problems (Created page with "==Problem 1== For all positive integers <math>n,</math> let <math>S(n)</math> denote the least positive integer <math>x</math> such that <math>n+x</math> is a palindrome. Fin...") (current)
- 22:00, 31 May 2023 (diff | hist) . . (+488) . . N 2022 SSMO Tiebreaker Round (Created page with "'''2022 SSMO Tiebreaker Round''' problems and solutions. '''This test was held on ZOOM on 6/27/2021.''' The first link contains the full set of test problems. The rest contai...")
- 21:59, 31 May 2023 (diff | hist) . . (+12) . . 2022 SSMO Relay Round 5 Problems (current)
- 21:59, 31 May 2023 (diff | hist) . . (+11) . . N 2022 SSMO Relay Round 5 Answer Key (Created page with "#27 #15 #64") (current)
- 21:59, 31 May 2023 (diff | hist) . . (+1,247) . . N 2022 SSMO Relay Round 5 Problems (Created page with "==Problem 1== Consider an <math>8\times 8</math> chessboard with a knight in one of the center squares. The knight may move in an <math>L</math>-shaped fashion, going two squ...")
- 21:58, 31 May 2023 (diff | hist) . . (+470) . . N 2022 SSMO Relay Round 5 (Created page with "'''2022 SSMO Relay Round 5''' problems and solutions. '''This test was held on ZOOM on 6/27/2021.''' The first link contains the full set of test problems. The rest contain e...")
- 21:58, 31 May 2023 (diff | hist) . . (+1,515) . . N 2022 SSMO Relay Round 4 Problems (Created page with "==Problem 1== On any given day, there is a <math>70\%</math> chance that a robot will find a new organism, a <math>20\%</math> chance it will find an already discovered organ...") (current)
- 21:58, 31 May 2023 (diff | hist) . . (+13) . . N 2022 SSMO Relay Round 4 Answer Key (Created page with "#42 #498 #832") (current)
- 21:57, 31 May 2023 (diff | hist) . . (+470) . . N 2022 SSMO Relay Round 4 (Created page with "'''2022 SSMO Relay Round 4''' problems and solutions. '''This test was held on ZOOM on 6/27/2021.''' The first link contains the full set of test problems. The rest contain e...")
- 21:57, 31 May 2023 (diff | hist) . . (+12) . . N 2022 SSMO Relay Round 3 Answer Key (Created page with "#40 #91 #293") (current)
- 21:57, 31 May 2023 (diff | hist) . . (+1,118) . . N 2022 SSMO Relay Round 3 Problems (Created page with "==Problem 1== Let <math>f:\mathbb Z\rightarrow\mathbb Z</math> be a function such that <math>f(0)=0</math> and <math>f\left(|x^2-4|\right)=0</math> if <math>f(x)=0</math>. Mo...") (current)
- 21:56, 31 May 2023 (diff | hist) . . (+470) . . N 2022 SSMO Relay Round 3 (Created page with "'''2022 SSMO Relay Round 3''' problems and solutions. '''This test was held on ZOOM on 6/27/2021.''' The first link contains the full set of test problems. The rest contain e...")
- 21:56, 31 May 2023 (diff | hist) . . (+11) . . N 2022 SSMO Relay Round 2 Answer Key (Created page with "#10 #34 #77") (current)
- 21:56, 31 May 2023 (diff | hist) . . (+1,640) . . N 2022 SSMO Relay Round 2 Problems (Created page with "==Problem 1== Let <math>P</math> be a randomly selected point on a circle, and let <math>A</math> be a randomly selected point inside the same circle. A dilation centered at...") (current)
- 21:55, 31 May 2023 (diff | hist) . . (+470) . . N 2022 SSMO Relay Round 2 (Created page with "'''2022 SSMO Relay Round 2''' problems and solutions. '''This test was held on ZOOM on 6/27/2021.''' The first link contains the full set of test problems. The rest contain e...")
- 21:55, 31 May 2023 (diff | hist) . . (-4,897) . . 2022 SSMO Relay Round 1 Problems (current)
- 21:54, 31 May 2023 (diff | hist) . . (+4,897) . . 2022 SSMO Relay Round 1 Problems
- 21:53, 31 May 2023 (diff | hist) . . (+13) . . N 2022 SSMO Relay Round 1 Answer Key (Created page with "#16 #128 #384") (current)
- 21:53, 31 May 2023 (diff | hist) . . (+1,222) . . N 2022 SSMO Relay Round 1 Problems (Created page with "==Problem 1== Suppose <math>a, b, c</math> are distinct digits where <math>a \not= 0</math> such that <math>\left(\overline{abc}\right)^2 = \overline{bad00}</math> where <mat...")
- 21:52, 31 May 2023 (diff | hist) . . (+470) . . N 2022 SSMO Relay Round 1 (Created page with "'''2022 SSMO Relay Round 1''' problems and solutions. '''This test was held on ZOOM on 6/27/2021.''' The first link contains the full set of test problems. The rest contain e...")
- 21:51, 31 May 2023 (diff | hist) . . (+338) . . N 2022 SSMO Relay Rounds (Created page with "'''2022 SSMO Relay Rounds''' problems and solutions. '''This test was held on ZOOM on 6/27/2021.''' The following 5 links contain problems and solutions for the 5 relay rounds...") (current)
- 21:50, 31 May 2023 (diff | hist) . . (-12) . . 2022 SSMO Team Round Problems
- 21:49, 31 May 2023 (diff | hist) . . (-5) . . 2022 SSMO Team Round Problems
- 21:48, 31 May 2023 (diff | hist) . . (+63) . . N 2022 SSMO Team Round Answer Key (Created page with "#71 #89 #69 #56 #45 #103 #315 #173 #8 #400 #302 #20 #67 #11 #29") (current)
- 21:48, 31 May 2023 (diff | hist) . . (+290) . . 2022 SSMO Team Round
- 21:48, 31 May 2023 (diff | hist) . . (+6,016) . . 2022 SSMO Team Round Problems
- 21:43, 31 May 2023 (diff | hist) . . (+3,404) . . N 2022 SSMO Team Round Problems (Created page with "==Problem 1== In triangle <math>ABC</math>, circumcircle <math>\omega</math> is drawn. Let <math>I</math> be the incenter of <math>\triangle{ABC}</math>. Let <math>H_A</math>...")
- 21:41, 31 May 2023 (diff | hist) . . (+43) . . N 2022 SSMO Accuracy Round Answer Key (Created page with "#9 #1200 #89 #91 #20 #197 #216 #15 #650 #10") (current)
- 21:41, 31 May 2023 (diff | hist) . . (+4,941) . . N 2022 SSMO Accuracy Round Problems (Created page with "==Problem 1== Consider a bijective function (meaning each element in the domain maps to a distinct element in the range) <math>f:S\rightarrow S,</math> where <math>S=\{1, 2,...")
- 21:39, 31 May 2023 (diff | hist) . . (+846) . . N 2022 SSMO Team Round (Created page with "'''2022 SSMO Team Round''' problems and solutions. '''This test was held on ZOOM on 6/27/2021.''' The first link contains the full set of test problems. The rest contain each...")
- 21:39, 31 May 2023 (diff | hist) . . (+898) . . N 2022 SSMO Accuracy Round (Created page with "'''2022 SSMO Accuracy Round''' problems and solutions. '''This test was held on ZOOM on 6/27/2021.''' The first link contains the full set of test problems. The rest contain...")
- 21:38, 31 May 2023 (diff | hist) . . (+42) . . N 2022 SSMO Speed Round Answer Key (Created page with "#7 #17 #105 #480 #14 #36 #9 #107 #29 #1014") (current)
- 21:35, 31 May 2023 (diff | hist) . . (+4,894) . . N 2022 SSMO Speed Round Problems (Created page with "==Problem 1== Bobby is bored one day and flips a fair coin until it lands on tails. Bobby wins if the coin lands on heads a positive even number of times in the sequence of t...") (current)
- 21:31, 31 May 2023 (diff | hist) . . (+859) . . N 2022 SSMO Speed Round (Created page with "'''2022 SSMO Speed Round''' problems and solutions. '''This test was held on ZOOM on 6/27/2021.''' The first link contains the full set of test problems. The rest contain eac...")
- 21:29, 31 May 2023 (diff | hist) . . (-15) . . 2021 WSMO Speed Round
- 21:27, 31 May 2023 (diff | hist) . . (+1,058) . . N SMO Problem Archive (Created page with "All SMO problems and solutions. If you see any problems with this page, please PM @pinkpig on AoPS ==2021 WSMO Problems== ===2021 WSMO Speed Round=== ===2021 WSMO Accur...")
- 21:24, 31 May 2023 (diff | hist) . . (+140) . . WSMO Problem Archive (current)
- 21:24, 31 May 2023 (diff | hist) . . (-140) . . WSMO Problem Archive (Replaced content with "<deleted>") (Tag: Replaced)
- 10:03, 2 August 2022 (diff | hist) . . (-99) . . 1983 AIME Problems/Problem 14
- 10:02, 2 August 2022 (diff | hist) . . (+1,300) . . 1983 AIME Problems/Problem 14
- 11:18, 1 August 2022 (diff | hist) . . (+1) . . 2021 AIME I Problems/Problem 1
- 11:18, 1 August 2022 (diff | hist) . . (+9) . . 2021 AIME I Problems/Problem 1
- 11:18, 1 August 2022 (diff | hist) . . (+1) . . 2021 AIME I Problems/Problem 1
- 11:17, 1 August 2022 (diff | hist) . . (+1) . . 2021 AIME I Problems/Problem 1
- 11:17, 1 August 2022 (diff | hist) . . (+568) . . 2021 AIME I Problems/Problem 1
- 09:43, 20 July 2022 (diff | hist) . . (0) . . 1992 AIME Problems/Problem 8
- 09:43, 20 July 2022 (diff | hist) . . (+45) . . 1992 AIME Problems/Problem 8
- 09:42, 20 July 2022 (diff | hist) . . (+878) . . 1992 AIME Problems/Problem 8
- 11:24, 11 July 2022 (diff | hist) . . (+3) . . 2021 WSMO Accuracy Round Problems/Problem 7 (current)
- 11:22, 11 July 2022 (diff | hist) . . (-1) . . 2021 WSMO Accuracy Round Problems/Problem 7
- 11:22, 11 July 2022 (diff | hist) . . (-38) . . 2021 WSMO Accuracy Round Problems/Problem 7
- 11:22, 11 July 2022 (diff | hist) . . (-12) . . 2021 WSMO Accuracy Round Problems/Problem 7
- 11:21, 11 July 2022 (diff | hist) . . (+2) . . 2021 WSMO Accuracy Round Problems/Problem 7
- 11:21, 11 July 2022 (diff | hist) . . (-1) . . 2021 WSMO Accuracy Round Problems/Problem 7
- 11:20, 11 July 2022 (diff | hist) . . (-175) . . 2021 WSMO Accuracy Round Problems/Problem 7
- 11:19, 11 July 2022 (diff | hist) . . (+231) . . 2021 WSMO Accuracy Round Problems/Problem 7
- 11:18, 11 July 2022 (diff | hist) . . (+1,331) . . 2021 WSMO Accuracy Round Problems/Problem 7
- 11:04, 11 July 2022 (diff | hist) . . (0) . . 2021 WSMO Accuracy Round Problems/Problem 6 (current)
- 11:03, 11 July 2022 (diff | hist) . . (+905) . . 2021 WSMO Accuracy Round Problems/Problem 6
- 10:55, 11 July 2022 (diff | hist) . . (-121) . . 2021 WSMO Accuracy Round Problems/Problem 5 (current)
- 10:55, 11 July 2022 (diff | hist) . . (+1,484) . . 2021 WSMO Accuracy Round Problems/Problem 5
- 10:10, 11 July 2022 (diff | hist) . . (+829) . . 2021 WSMO Accuracy Round Problems/Problem 4 (current)
- 10:02, 11 July 2022 (diff | hist) . . (+558) . . 2021 WSMO Accuracy Round Problems/Problem 6
- 09:56, 11 July 2022 (diff | hist) . . (+734) . . 2021 WSMO Speed Round Problems/Problem 9
- 09:38, 11 July 2022 (diff | hist) . . (+22) . . m 2021 WSMO Speed Round Problems/Problem 6 (current)
- 15:48, 6 June 2022 (diff | hist) . . (+10) . . 2013 IMO Problems/Problem 4
- 15:44, 6 June 2022 (diff | hist) . . (-6) . . 2013 IMO Problems/Problem 4
- 15:43, 6 June 2022 (diff | hist) . . (+75) . . 2013 IMO Problems/Problem 4
- 15:42, 6 June 2022 (diff | hist) . . (+15) . . 2013 IMO Problems/Problem 4
- 15:40, 6 June 2022 (diff | hist) . . (+6,370) . . 2013 IMO Problems/Problem 4
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