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• 11:30, 9 September 2025 (diff | hist) . . (+6,412)‎ . . N 2025 SSMO Team Round Problems ‎ (Created page with "==Problem 1== There are <math>N</math> solutions <math>(a,b,c)</math> to <math>a + b^2 + c = 2025,</math> where <math>a</math> and <math>b</math> are positive integers and <m...")
• 11:27, 9 September 2025 (diff | hist) . . (+1,130)‎ . . N 2025 SSMO Team Round ‎ (Created page with "'''2025 SSMO Team Round''' problems and solutions. The first link contains the full set of test problmems. The second link contains the answer key. The rest contain each indiv...") (current)
• 11:27, 9 September 2025 (diff | hist) . . (-2)‎ . . 2025 SSMO Accuracy Round Problems ‎
• 11:27, 9 September 2025 (diff | hist) . . (-2)‎ . . 2025 SSMO Accuracy Round Problems/Problem 8 ‎ (→‎Problem)
• 11:26, 9 September 2025 (diff | hist) . . (+575)‎ . . N 2025 SSMO Accuracy Round Problems/Problem 10 ‎ (Created page with "==Problem== Let <math>ABCDE</math> be a convex pentagon with <math>\angle{BAC} = \angle{CAD} = \angle{DAE}</math> and <math>\angle{ABC} = \angle{ACD} = \angle{ADE}</math>. Le...")
• 11:26, 9 September 2025 (diff | hist) . . (+442)‎ . . N 2025 SSMO Accuracy Round Problems/Problem 9 ‎ (Created page with "==Problem== For a positive integer <math>n,</math> let <math>r(n)</math> denote the value of the binary number obtained by reading the binary representation of <math>n</math>...") (current)
• 11:26, 9 September 2025 (diff | hist) . . (+680)‎ . . N 2025 SSMO Accuracy Round Problems/Problem 8 ‎ (Created page with "==Problem== We say that a permutation <math>(a_1, a_2, \dots ,a_{10})</math> of the integers <math>1</math> through <math>10</math> inclusive is \textit{peaked} if there do n...")
• 11:26, 9 September 2025 (diff | hist) . . (+487)‎ . . N 2025 SSMO Accuracy Round Problems/Problem 7 ‎ (Created page with "==Problem== There is a unique ordered triple of positive reals <math>(a,b,c)</math> satisfying the system of equations <cmath>\begin{align*} a^2 + 9 &= (b-8\sqrt{3})^2 + 4 \...")
• 11:26, 9 September 2025 (diff | hist) . . (+613)‎ . . N 2025 SSMO Accuracy Round Problems/Problem 6 ‎ (Created page with "==Problem== Andy the ant starts at the square labeled <math>1</math>. On each move Andy moves to any orthogonal square (a square with which his current square shares a side)....")
• 11:26, 9 September 2025 (diff | hist) . . (+855)‎ . . N 2025 SSMO Accuracy Round Problems/Problem 5 ‎ (Created page with "==Problem== <math>ABC</math> is an isosceles triangle with base <math>BC = 6</math> and <math>AB = AC</math>. Point <math>M</math> is the midpoint of <math>BC</math> such tha...")
• 11:26, 9 September 2025 (diff | hist) . . (+334)‎ . . N 2025 SSMO Accuracy Round Problems/Problem 4 ‎ (Created page with "==Problem== Let <math>a,</math> <math>b,</math> and <math>c</math> be the roots of the polynomial <math>x^3+4x^2-3x-4</math>. Suppose that <cmath>\left|\frac{a}{b+c}+\frac{b...")
• 11:26, 9 September 2025 (diff | hist) . . (+303)‎ . . N 2025 SSMO Accuracy Round Problems/Problem 3 ‎ (Created page with "==Problem== Nonnegative real numbers <math>x,y,</math> and <math>z</math> satisfy <cmath>\frac{\sqrt{x}+13}{y} = \frac{\sqrt{y}+29}{z} = \frac{\sqrt{z} + 46}{x} = 2</cmath> a...")
• 11:26, 9 September 2025 (diff | hist) . . (+633)‎ . . N 2025 SSMO Accuracy Round Problems/Problem 2 ‎ (Created page with "==Problem== Let <math>ABC</math> be a triangle with circumcircle <math>\omega</math>. The midpoint of <math>AB</math> is <math>M,</math> and the line <math>CM</math> intersec...")
• 11:26, 9 September 2025 (diff | hist) . . (+252)‎ . . N 2025 SSMO Accuracy Round Problems/Problem 1 ‎ (Created page with "==Problem== An infinite sequence of real numbers <math>a_1, a_2, \dots</math> satisfies <cmath>a_n = a_1+a_2+\dots+a_{n-1}</cmath> for all positive integers <math>n > 1</math...")
• 11:25, 9 September 2025 (diff | hist) . . (+42)‎ . . N 2025 SSMO Accuracy Round Answer Key ‎ (Created page with "#800 #26 #50 #21 #102 #18 #294 #9 #768 #57") (current)
• 11:24, 9 September 2025 (diff | hist) . . (+25)‎ . . 2025 SSMO Accuracy Round Problems ‎
• 11:23, 9 September 2025 (diff | hist) . . (+5,630)‎ . . N 2025 SSMO Accuracy Round Problems ‎ (Created page with "==Problem 1== An infinite sequence of real numbers <math>a_1, a_2, \dots</math> satisfies <cmath>a_n = a_1+a_2+\dots+a_{n-1}</cmath> for all positive integers <math>n > 1</ma...")
• 11:21, 9 September 2025 (diff | hist) . . (+892)‎ . . N 2025 SSMO Accuracy Round ‎ (Created page with "'''2025 SSMO Accuracy Round''' problems and solutions. The first link contains the full set of test problmems. The second link contains the answer key. The rest contain each i...") (current)
• 11:21, 9 September 2025 (diff | hist) . . (+44)‎ . . N 2025 SSMO Speed Round Answer Key ‎ (Created page with "#6 #15 #455 #178 #170 #630 #72 #15 #191 #166") (current)
• 11:17, 9 September 2025 (diff | hist) . . (+4,675)‎ . . N 2025 SSMO Speed Round Problems ‎ (Created page with "==Problem 1== Define <cmath>f(x) = \begin{cases} x + 2 & \text{if } x < 0 \\ x^2 + 1 & \text{if } x \geq 0 \end{cases}</cmath> and let <math>x_0 = -3</math>. Define <math>x_{...")
• 11:16, 9 September 2025 (diff | hist) . . (+20)‎ . . 2025 SSMO Speed Round ‎ (current)
• 11:16, 9 September 2025 (diff | hist) . . (-3,842)‎ . . 2025 SSMO Speed Round ‎
• 11:10, 9 September 2025 (diff | hist) . . (+302)‎ . . N 2025 SSMO Speed Round Problems/Problem 10 ‎ (Created page with "==Problem== Let <math>p</math> be a quadratic with a positive leading coefficient, and let <math>r</math> be a real number satisfying <math>r < 1 < \tfrac{5}{2r} < 5</math>....")
• 11:10, 9 September 2025 (diff | hist) . . (+713)‎ . . N 2025 SSMO Speed Round Problems/Problem 9 ‎ (Created page with "==Problem== Let <math>ABC</math> be a triangle. The point <math>P</math> lies on side <math>BC,</math> the point <math>Q</math> lies on side <math>AB,</math> and the point <m...")
• 11:10, 9 September 2025 (diff | hist) . . (+527)‎ . . N 2025 SSMO Speed Round Problems/Problem 8 ‎ (Created page with "==Problem== Let <math>S</math> be the set of all ordered pairs <math>(P,Q),</math> where <math>P</math> and <math>Q</math> are subsets of <math>\{1,2,\dots, 25\}</math> satis...")
• 11:10, 9 September 2025 (diff | hist) . . (+320)‎ . . N 2025 SSMO Speed Round Problems/Problem 7 ‎ (Created page with "==Problem== Positive integers <math>a</math> and <math>b</math> satisfy <math>63a = 40b</math>. The sum of all possible values of <math>\tfrac{\varphi(a)}{\varphi(b)}</math>...")
• 11:10, 9 September 2025 (diff | hist) . . (+284)‎ . . N 2025 SSMO Speed Round Problems/Problem 6 ‎ (Created page with "==Problem== The centroid <math>G</math> of <math>\triangle{ABC}</math> has distances <math>21,</math> <math>60,</math> and <math>28</math> from sides <math>AB,</math> <math>B...")
• 11:10, 9 September 2025 (diff | hist) . . (+385)‎ . . N 2025 SSMO Speed Round Problems/Problem 5 ‎ (Created page with "==Problem== Let <math>N = 101112\cdots9899</math> be the number formed when all the two-digit positive integers are concatenated in increasing order. How many ordered triples...")
• 11:10, 9 September 2025 (diff | hist) . . (+500)‎ . . N 2025 SSMO Speed Round Problems/Problem 4 ‎ (Created page with "==Problem== In rectangle <math>ABCD,</math> let <math>AB = 8,BC = 15,\omega</math> be the circumcircle of <math>ABCD</math>, <math>\ell</math> be the line through <math>B</ma...")
• 11:09, 9 September 2025 (diff | hist) . . (+477)‎ . . N 2025 SSMO Speed Round Problems/Problem 3 ‎ (Created page with "==Problem== Anna is buying different types of cheese from the local supermarket. Let <math>x,</math> <math>y,</math> and <math>z</math> be the number of pieces of blue, chedd...")
• 11:09, 9 September 2025 (diff | hist) . . (+445)‎ . . N 2025 SSMO Speed Round Problems/Problem 2 ‎ (Created page with "==Problem== Let <math>A</math> and <math>B</math> be points such that <math>AB = 50</math>. Points <math>M</math> and <math>N</math> lie on <math>\overline{AB}</math> such th...")
• 11:09, 9 September 2025 (diff | hist) . . (+272)‎ . . N 2025 SSMO Speed Round Problems/Problem 1 ‎ (Created page with "==Problem== Define <cmath>f(x) = \begin{cases} x + 2 & \text{if } x < 0 \\ x^2 + 1 & \text{if } x \geq 0 \end{cases}</cmath> and let <math>x_0 = -3</math>. Define <math>x_{n+...")
• 11:07, 9 September 2025 (diff | hist) . . (+4,675)‎ . . N 2025 SSMO Speed Round ‎ (Created page with "==Problem 1== Define <cmath>f(x) = \begin{cases} x + 2 & \text{if } x < 0 \\ x^2 + 1 & \text{if } x \geq 0 \end{cases}</cmath> and let <math>x_0 = -3</math>. Define <math>x_{...")
• 11:03, 9 September 2025 (diff | hist) . . (+372)‎ . . SMO Problem Archive ‎ (current)
• 14:05, 7 September 2025 (diff | hist) . . (+18)‎ . . 2024 SSMO Speed Round Problems ‎
• 19:26, 2 May 2025 (diff | hist) . . (+11)‎ . . 2023 SSMO Team Round Problems/Problem 13 ‎
• 19:24, 2 May 2025 (diff | hist) . . (-1)‎ . . 2022 SSMO Relay Round 5 Problems/Problem 3 ‎ (current)
• 19:24, 2 May 2025 (diff | hist) . . (-1)‎ . . 2022 SSMO Relay Round 5 Problems/Problem 2 ‎ (current)
• 19:24, 2 May 2025 (diff | hist) . . (-1)‎ . . 2022 SSMO Relay Round 3 Problems/Problem 3 ‎ (current)
• 19:24, 2 May 2025 (diff | hist) . . (-1)‎ . . 2022 SSMO Relay Round 3 Problems/Problem 2 ‎ (current)
• 19:23, 2 May 2025 (diff | hist) . . (-1)‎ . . 2022 SSMO Relay Round 2 Problems/Problem 3 ‎ (current)
• 19:23, 2 May 2025 (diff | hist) . . (-1)‎ . . 2022 SSMO Relay Round 2 Problems/Problem 2 ‎ (current)
• 19:23, 2 May 2025 (diff | hist) . . (-1)‎ . . 2022 SSMO Relay Round 1 Problems/Problem 3 ‎ (current)
• 19:22, 2 May 2025 (diff | hist) . . (-1)‎ . . 2022 SSMO Relay Round 1 Problems/Problem 2 ‎ (current)
• 19:22, 2 May 2025 (diff | hist) . . (-1)‎ . . 2022 SSMO Relay Round 4 Problems/Problem 3 ‎ (current)
• 19:22, 2 May 2025 (diff | hist) . . (+26)‎ . . 2022 SSMO Relay Round 4 Problems/Problem 2 ‎ (current)
• 19:20, 2 May 2025 (diff | hist) . . (-1)‎ . . 2023 SSMO Relay Round 1 Problems/Problem 2 ‎
• 19:20, 2 May 2025 (diff | hist) . . (-1)‎ . . 2023 SSMO Relay Round 5 Problems/Problem 3 ‎ (current)
• 19:20, 2 May 2025 (diff | hist) . . (-1)‎ . . 2023 SSMO Relay Round 5 Problems/Problem 2 ‎ (current)
• 19:19, 2 May 2025 (diff | hist) . . (-1)‎ . . 2023 SSMO Relay Round 4 Problems/Problem 3 ‎ (current)

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