User contributions
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- 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) (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...")
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