User contributions
(newest | oldest) View (newer 100 | older 100) (20 | 50 | 100 | 250 | 500)
- 12:50, 14 December 2023 (diff | hist) . . (+462) . . N 2023 SSMO Relay Round 5 (Created page with "'''2023 SSMO Relay Round 5''' problems and solutions. The first link contains the full set of test problems. The second link contains the answer key The rest contain each indi...") (current)
- 12:50, 14 December 2023 (diff | hist) . . (+463) . . N 2023 SSMO Relay Round 4 (Created page with "'''2023 SSMO Relay Round 4''' problems and solutions. The first link contains the full set of test problems. The second link contains the answer key. The rest contain each ind...") (current)
- 12:50, 14 December 2023 (diff | hist) . . (+463) . . N 2023 SSMO Relay Round 3 (Created page with "'''2023 SSMO Relay Round 3''' problems and solutions. The first link contains the full set of test problems. The second link contains the answer key. The rest contain each ind...") (current)
- 12:49, 14 December 2023 (diff | hist) . . (+463) . . N 2023 SSMO Relay Round 2 (Created page with "'''2023 SSMO Relay Round 2''' problems and solutions. The first link contains the full set of test problems. The second link contains the answer key. The rest contain each ind...") (current)
- 12:49, 14 December 2023 (diff | hist) . . (+423) . . N 2023 SSMO Relay Round 1 (Created page with "'''2023 SSMO Relay Round 1''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. *202...") (current)
- 12:49, 14 December 2023 (diff | hist) . . (+291) . . N 2023 SSMO Relay Rounds (Created page with "'''2023 SSMO Relay Rounds''' problems and solutions. The following 5 links contain problems and solutions for the 5 relay rounds in the 2023 SSMO. *2023 SSMO Relay Round 1...") (current)
- 12:48, 14 December 2023 (diff | hist) . . (+3) . . 2023 SSMO Accuracy Round
- 12:47, 14 December 2023 (diff | hist) . . (+799) . . N 2023 SSMO Team Round (Created page with "'''2023 SSMO Team Round''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. *2023 S...")
- 12:47, 14 December 2023 (diff | hist) . . (-35) . . SMO Problem Archive
- 12:46, 14 December 2023 (diff | hist) . . (+848) . . N 2023 SSMO Accuracy Round (Created page with "'''2023 SSMO Speed Round''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. *2023...")
- 17:16, 21 October 2023 (diff | hist) . . (-1) . . SMO Problem Archive (→=2022 SSMO Tiebreaker Round)
- 14:23, 3 July 2023 (diff | hist) . . (+12) . . 2023 SSMO Speed Round Problems/Problem 8 (current)
- 14:22, 3 July 2023 (diff | hist) . . (+567) . . 2023 SSMO Speed Round Problems/Problem 8
- 14:21, 3 July 2023 (diff | hist) . . (-2) . . 2023 SSMO Speed Round Problems/Problem 7 (current)
- 14:21, 3 July 2023 (diff | hist) . . (+966) . . N 2023 SSMO Speed Round Problems/Problem 8 (Created page with "==Problem== ==Solution== Let <math>r</math> be the radius of <math>\omega</math> and let <math>C</math> be the midpoint of <math>AB</math> and let <math>OC = x.</math> Note...")
- 14:20, 3 July 2023 (diff | hist) . . (-587) . . 2023 SSMO Speed Round Problems/Problem 5 (current)
- 14:20, 3 July 2023 (diff | hist) . . (+1,336) . . N 2023 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>...") (current)
- 14:18, 3 July 2023 (diff | hist) . . (-526) . . 2022 SSMO Speed Round Problems/Problem 9 (Blanked the page) (current) (Tag: Blanking)
- 14:18, 3 July 2023 (diff | hist) . . (-1,278) . . 2022 SSMO Speed Round Problems/Problem 10 (Blanked the page) (current) (Tag: Blanking)
- 14:18, 3 July 2023 (diff | hist) . . (-1,547) . . 2022 SSMO Speed Round Problems/Problem 8 (Blanked the page) (current) (Tag: Blanking)
- 14:18, 3 July 2023 (diff | hist) . . (-1,208) . . 2022 SSMO Speed Round Problems/Problem 7 (Blanked the page) (current) (Tag: Blanking)
- 14:18, 3 July 2023 (diff | hist) . . (-554) . . 2022 SSMO Speed Round Problems/Problem 6 (Blanked the page) (current) (Tag: Blanking)
- 14:18, 3 July 2023 (diff | hist) . . (+1,278) . . N 2023 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...") (current)
- 14:18, 3 July 2023 (diff | hist) . . (+526) . . N 2023 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...") (current)
- 14:18, 3 July 2023 (diff | hist) . . (+1,208) . . N 2023 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...")
- 14:18, 3 July 2023 (diff | hist) . . (+554) . . N 2023 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>...") (current)
- 14:17, 3 July 2023 (diff | hist) . . (-748) . . 2022 SSMO Speed Round Problems/Problem 5 (Blanked the page) (current) (Tag: Blanking)
- 14:17, 3 July 2023 (diff | hist) . . (-1,336) . . 2022 SSMO Speed Round Problems/Problem 4 (Blanked the page) (current) (Tag: Blanking)
- 14:17, 3 July 2023 (diff | hist) . . (+1,336) . . N 2023 SSMO Speed Round Problems/Problem 5 (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>...")
- 14:17, 3 July 2023 (diff | hist) . . (+1,453) . . N 2023 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...") (current)
- 14:17, 3 July 2023 (diff | hist) . . (-1,453) . . 2022 SSMO Speed Round Problems/Problem 3 (Blanked the page) (current) (Tag: Blanking)
- 14:17, 3 July 2023 (diff | hist) . . (+1,371) . . N 2023 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...")
- 14:17, 3 July 2023 (diff | hist) . . (-1,371) . . 2022 SSMO Speed Round Problems/Problem 2 (Blanked the page) (current) (Tag: Blanking)
- 14:17, 3 July 2023 (diff | hist) . . (-837) . . 2022 SSMO Speed Round Problems/Problem 1 (Blanked the page) (current) (Tag: Blanking)
- 14:16, 3 July 2023 (diff | hist) . . (+837) . . N 2023 SSMO Speed Round Problems/Problem 1 (Created page with "==Problem== 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> ==Solution== Since th...") (current)
- 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
(newest | oldest) View (newer 100 | older 100) (20 | 50 | 100 | 250 | 500)