User contributions
(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)
- 19:19, 2 May 2025 (diff | hist) . . (-1) . . 2023 SSMO Relay Round 4 Problems/Problem 2 (current)
- 19:19, 2 May 2025 (diff | hist) . . (-18) . . 2023 SSMO Relay Round 3 Problems/Problem 3 (current)
- 19:19, 2 May 2025 (diff | hist) . . (-1) . . 2023 SSMO Relay Round 3 Problems/Problem 2 (current)
- 19:19, 2 May 2025 (diff | hist) . . (-1) . . 2023 SSMO Relay Round 2 Problems/Problem 3
- 19:19, 2 May 2025 (diff | hist) . . (-1) . . 2023 SSMO Relay Round 2 Problems/Problem 2
- 19:19, 2 May 2025 (diff | hist) . . (-1) . . 2023 SSMO Relay Round 1 Problems/Problem 3
- 19:18, 2 May 2025 (diff | hist) . . (-2) . . 2023 SSMO Relay Round 1 Problems
- 19:18, 2 May 2025 (diff | hist) . . (+25) . . 2022 SSMO Relay Round 4 Problems (current)
- 19:18, 2 May 2025 (diff | hist) . . (-2) . . 2022 SSMO Relay Round 3 Problems (current)
- 19:18, 2 May 2025 (diff | hist) . . (-2) . . 2022 SSMO Relay Round 5 Problems (current)
- 19:17, 2 May 2025 (diff | hist) . . (-2) . . 2022 SSMO Relay Round 2 Problems (current)
- 19:17, 2 May 2025 (diff | hist) . . (-2) . . 2022 SSMO Relay Round 1 Problems (current)
- 19:16, 2 May 2025 (diff | hist) . . (+22) . . 2022 SSMO Team Round Problems/Problem 9 (current)
- 19:14, 2 May 2025 (diff | hist) . . (+862) . . 2022 SSMO Speed Round Problems/Problem 9 (current)
- 19:14, 2 May 2025 (diff | hist) . . (+445) . . 2022 SSMO Speed Round Problems/Problem 10 (current)
- 19:14, 2 May 2025 (diff | hist) . . (+210) . . 2022 SSMO Speed Round Problems/Problem 8 (current)
- 19:14, 2 May 2025 (diff | hist) . . (+460) . . 2022 SSMO Speed Round Problems/Problem 7 (current)
- 19:14, 2 May 2025 (diff | hist) . . (+593) . . 2022 SSMO Speed Round Problems/Problem 6 (current)
- 19:14, 2 May 2025 (diff | hist) . . (+418) . . 2022 SSMO Speed Round Problems/Problem 5
- 19:14, 2 May 2025 (diff | hist) . . (+379) . . 2022 SSMO Speed Round Problems/Problem 4
- 19:14, 2 May 2025 (diff | hist) . . (+347) . . 2022 SSMO Speed Round Problems/Problem 3
- 19:14, 2 May 2025 (diff | hist) . . (+353) . . 2022 SSMO Speed Round Problems/Problem 2
- 19:14, 2 May 2025 (diff | hist) . . (+369) . . 2022 SSMO Speed Round Problems/Problem 1
- 16:03, 2 May 2025 (diff | hist) . . (+594) . . N 2024 SSMO Tiebreaker Round Problems/Problem 3 (Created page with "==Problem== Let <math>A=\dots a_2a_1a_0.a_{-1}a_{-2}a_{-3}\dots</math> be a terminating decimal. The length of <math>A</math> is defined to be the length of the shortest sub-...")
- 16:03, 2 May 2025 (diff | hist) . . (+452) . . N 2024 SSMO Tiebreaker Round Problems/Problem 2 (Created page with "==Problem== Bob is attempting to shoot a 3-point throw. Bob attempts the basket 97 times. Each time, Bob has a <math>35\%</math> chance of making the shot. If <math>S_1</math...")
- 16:03, 2 May 2025 (diff | hist) . . (+114) . . N 2024 SSMO Tiebreaker Round Problems/Problem 1 (Created page with "==Problem== Compute the exact value of <math>2^2+0^2+2^2+4^2+20^2+22^2+24^2+40^2+42^2+202^2.</math> ==Solution==")
- 16:02, 2 May 2025 (diff | hist) . . (+491) . . N 2024 SSMO Relay Round 5 Problems/Problem 2 (Created page with "==Problem== Let <math>T = TNYWR.</math> In the game of high and low, the computer chooses two integers without replacement from the set <math>\{1,2,3,\dots,T\}</math>. The co...")
- 16:02, 2 May 2025 (diff | hist) . . (+261) . . N 2024 SSMO Relay Round 5 Problems/Problem 3 (Created page with "==Problem== Let <math>T = TNYWR.</math> Let <math>k</math> be the maximum prime factor that divides <math>T.</math> How many values of <math>x</math> satisfy both <math>\sin...")
- 16:02, 2 May 2025 (diff | hist) . . (+339) . . N 2024 SSMO Relay Round 5 Problems/Problem 1 (Created page with "==Problem== Let the super factorial <math>!(n)</math> be defined on positive integers as <math>\prod_{i=1}^n i!.</math> Find the largest positive integer <math>k</math> such...")
- 16:02, 2 May 2025 (diff | hist) . . (+223) . . N 2024 SSMO Relay Round 4 Problems/Problem 3 (Created page with "==Problem== Let <math>T = TNYWR.</math> Given that: \begin{align*} a+b &= -c,\\ a^3 - abc &= 4,\text{ and }\\ b^3 - abc &= T.\\ \end{align*} Then, <math>abc - c^3 = x.</math>...")
- 16:02, 2 May 2025 (diff | hist) . . (+321) . . N 2024 SSMO Relay Round 4 Problems/Problem 2 (Created page with "==Problem== Let <math>T = TNYWR.</math> Regular octagon <math>OLYMPIAD</math> is perfectly inscribed within Circle <math>Q</math>. Circle <math>Q</math> has area <math>T\pi</...")
- 16:02, 2 May 2025 (diff | hist) . . (+309) . . N 2024 SSMO Relay Round 4 Problems/Problem 1 (Created page with "==Problem== Freddy the Frog can jump <math>1</math> unit right or up. He is at <math>(1,1)</math> and wants to get to <math>(7, 4)</math>. However, he is scared of points <ma...")
- 16:02, 2 May 2025 (diff | hist) . . (+556) . . N 2024 SSMO Relay Round 3 Problems/Problem 3 (Created page with "==Problem== Let <math>T = TNYWR-1.</math> Riley and Boris are playing a game on a <math>T\times T</math> grid of dots. The game alternates turns and starts with Riley. Each t...")
- 16:02, 2 May 2025 (diff | hist) . . (+154) . . N 2024 SSMO Relay Round 3 Problems/Problem 2 (Created page with "==Problem== Let <math>T = TNYWR.</math> Find the greatest odd integer <math>n</math> for which <math>n^2+(T-1)n</math> is a perfect square. ==Solution==")
- 16:02, 2 May 2025 (diff | hist) . . (+496) . . N 2024 SSMO Relay Round 3 Problems/Problem 1 (Created page with "==Problem== Alice and Bob on the second floor of the building right next to the escalator moving upwards. Alice and Bob each run at 200 steps per minute and the escalator is...")
- 16:01, 2 May 2025 (diff | hist) . . (+328) . . N 2024 SSMO Relay Round 2 Problems/Problem 3 (Created page with "==Problem== Let <math>T = TNYWR.</math> A point <math>P</math> is randomly chosen inside the square with vertices <math>A = (0,0), B = (0,T), C = (T,T),</math> and <math>D =...")
- 16:01, 2 May 2025 (diff | hist) . . (+149) . . N 2024 SSMO Relay Round 2 Problems/Problem 2 (Created page with "==Problem== Let <math>T = TNYWR.</math> If <cmath>a = \sum_{n=1}^{N}n(n+1)(n+2),</cmath> find the last three digits of <math>a.</math> ==Solution==")
- 16:01, 2 May 2025 (diff | hist) . . (+297) . . N 2024 SSMO Relay Round 2 Problems/Problem 1 (Created page with "==Problem== In a regular hexagon <math>ABCDEF</math>, let <math>X</math> be a point inside the hexagon such that <math>XA=XB=3.</math> If the area of the hexagon is <math>6\s...")
- 16:01, 2 May 2025 (diff | hist) . . (+1) . . 2024 SSMO Relay Round 1 Problems (current)
- 16:01, 2 May 2025 (diff | hist) . . (+543) . . N 2024 SSMO Relay Round 1 Problems/Problem 3 (Created page with "==Problem== Let <math>T = TNYWR.</math> In a circle, there are <math>T</math> people. <math>T-2</math> of them have red shoes, and two of them have blue shoes. First, they wi...")
- 16:01, 2 May 2025 (diff | hist) . . (+522) . . N 2024 SSMO Relay Round 1 Problems/Problem 2 (Created page with "==Problem== Let <math>T = TNYWR.</math> A circular necklace is called <math>interesting</math> if it has <math>T</math> black beads and <math>T</math> white beads. A move con...")
- 16:01, 2 May 2025 (diff | hist) . . (+513) . . N 2024 SSMO Relay Round 1 Problems/Problem 1 (Created page with "==Problem== Let <math>AD</math> be an altitude of triangle <math>ABC</math> and let <math>DE</math> be an altitude of triangle <math>ACD.</math> If <math>AB=29,CE=9,</math> a...")
- 15:45, 2 May 2025 (diff | hist) . . (+1) . . 2024 SSMO Team Round Problems (current)
- 15:45, 2 May 2025 (diff | hist) . . (+232) . . N 2024 SSMO Team Round Problems/Problem 14 (Created page with "==Problem== Let <math>a_1, a_2, \dots, a_7</math> be the roots of the polynomial <cmath>x^7+5x^6+9x^5+x^4+x^3+10x^2+5x+1.</cmath> Find the value of <cmath>\left|\prod_{n=1}^7...")
- 15:45, 2 May 2025 (diff | hist) . . (+346) . . N 2024 SSMO Team Round Problems/Problem 15 (Created page with "==Problem== In triangle <math>ABC</math> inscribed in circle <math>\omega,</math> let <math>M</math> be the midpoint of <math>BC.</math> Denote <math>P</math> as the intersec...")
- 15:45, 2 May 2025 (diff | hist) . . (+1) . . 2024 SSMO Team Round Problems/Problem 11
- 15:45, 2 May 2025 (diff | hist) . . (+446) . . N 2024 SSMO Team Round Problems/Problem 13 (Created page with "==Problem== In a deck of 54 cards (2 identical jokers, 4 identical cards with <math>1,2,3,\dots,13</math>), each card is dealt to one of 3 people, each having a <math>\frac{1...")
- 15:44, 2 May 2025 (diff | hist) . . (+319) . . N 2024 SSMO Team Round Problems/Problem 11 (Created page with "==Problem== Let <math>S</math> denote the set of positive divisors of <math>5400.</math> Let <cmath>S_i = \{d \mid d \in S, \, d \equiv i \Mod4\}</cmath> and let <math>s_i</m...")
- 15:44, 2 May 2025 (diff | hist) . . (+187) . . N 2024 SSMO Team Round Problems/Problem 12 (Created page with "==Problem== What is the smallest positive integer <math>n</math> with 3 positive prime factors such that for all integers <math>k</math>, <math>k^n \equiv k \pmod n</math>?...")
- 15:44, 2 May 2025 (diff | hist) . . (+233) . . N 2024 SSMO Team Round Problems/Problem 10 (Created page with "==Problem== The side-lengths of a convex cyclic quadrilateral <math>ABCD</math> are integers and <math>(AB\cdot AD+BC\cdot CD)^2=AC^2\cdot BD^2-72</math>. Find all possible v...")
(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)