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• 15:38, 2 May 2025 (diff | hist) . . (+654)‎ . . N 2023 WSMO Team Round Problems/Problem 15 ‎ (Created page with "==Problem== On a number line labeled <math>0, 1, 2, 3, 4, 5,</math> and old man starts at <math>0</math> and tries to reach <math>5.</math> Initially, he knows to walk right....") (current)
• 15:37, 2 May 2025 (diff | hist) . . (+457)‎ . . N 2023 WSMO Team Round Problems/Problem 11 ‎ (Created page with "==Problem== When <math>\frac{1}{7}</math> is expressed in base <math>k,</math> the digits are <math>0.a_{k,1}a_{k,2}\dots,</math> where <math>a_{k,1}a_{k,2},\dots</math> are...") (current)
• 15:37, 2 May 2025 (diff | hist) . . (+453)‎ . . N 2023 WSMO Team Round Problems/Problem 10 ‎ (Created page with "==Problem== Let square <math>ABCD</math> be a square with side length <math>4</math>. Define ellipse <math>\omega</math> as the ellipse that is able to be inscribed inside <m...") (current)
• 15:37, 2 May 2025 (diff | hist) . . (+364)‎ . . N 2023 WSMO Team Round Problems/Problem 9 ‎ (Created page with "==Problem== A circle has three chords of equal length, <math>4 + 2 \sqrt{3}</math> which intersect forming a triangle with side lengths 2, 2, and <math>2 \sqrt{3}</math>. If...") (current)
• 15:37, 2 May 2025 (diff | hist) . . (+200)‎ . . N 2023 WSMO Team Round Problems/Problem 8 ‎ (Created page with "==Problem== Let <math>f(x)=\sqrt{x-\sqrt{x-\sqrt{x-\ldots}}}.</math> Find the modulo 1000 on the minimum integer <math>a</math> such <math>f(f(f(f(f(a)))))</math> is a positi...") (current)
• 15:37, 2 May 2025 (diff | hist) . . (+399)‎ . . N 2023 WSMO Team Round Problems/Problem 7 ‎ (Created page with "==Problem== In triangle <math>ABC</math> with <math>AB = 13,AC = 14</math>, and <math>BC = 15,</math> a rectangle <math>WXYZ</math> is inscribed such that the area of <math>W...") (current)
• 15:37, 2 May 2025 (diff | hist) . . (+198)‎ . . N 2023 WSMO Team Round Problems/Problem 6 ‎ (Created page with "==Problem== A quartic real polynomial <math>f(x)</math> satisfying <math>f(3+2i) = 0</math> has 3 distinct roots. If the sum of the three roots is <math>12,</math> find their...") (current)
• 15:37, 2 May 2025 (diff | hist) . . (+629)‎ . . N 2023 WSMO Team Round Problems/Problem 5 ‎ (Created page with "==Problem== A monkey is throwing darts at the dart board pictured below. The dart is equally likely to land anywhere on the board. Point values for the three regions are labe...") (current)
• 15:37, 2 May 2025 (diff | hist) . . (+445)‎ . . N 2023 WSMO Team Round Problems/Problem 4 ‎ (Created page with "==Problem== Honko the hamster is in his cage. He wants to find the smallest distance needed to travel to reach four tennis balls. His current position is <math>(0,0)</math>...") (current)
• 15:37, 2 May 2025 (diff | hist) . . (+547)‎ . . N 2023 WSMO Team Round Problems/Problem 3 ‎ (Created page with "==Problem== In the figure below, there are <math>1023</math> total circles. The area between circles alternate between shaded and non-shaded. If the area of the shaded region...") (current)
• 15:36, 2 May 2025 (diff | hist) . . (+163)‎ . . N 2023 WSMO Team Round Problems/Problem 2 ‎ (Created page with "==Problem== Integers <math>W,S,M,</math> and <math>O</math> satisfy <math>W+S+M+O = 13.</math> Find the maximum possible value of <math>WSMO.</math> ==Solution==") (current)
• 15:36, 2 May 2025 (diff | hist) . . (+224)‎ . . N 2023 WSMO Team Round Problems/Problem 1 ‎ (Created page with "==Problem== Bob has a number of pencils. When Bob splits them into groups of 10, he has 3 left over. When he splits them into groups of 12, he has 5 left over. Find the small...") (current)
• 15:36, 2 May 2025 (diff | hist) . . (+544)‎ . . N 2023 WSMO Accuracy Round Problems/Problem 10 ‎ (Created page with "==Problem== In tetrahedron <math>T</math> of side length <math>12,</math> let <math>S_1</math> be the sphere inscribed in <math>T</math> and let <math>S_2</math> be the spher...") (current)
• 15:36, 2 May 2025 (diff | hist) . . (+695)‎ . . N 2023 WSMO Accuracy Round Problems/Problem 9 ‎ (Created page with "==Problem== Given circles <math>\omega_1, \omega_2</math> with radius <math>1,4</math> respectively, they are externally tangent to each other. The diameters of <math>\omega_...") (current)
• 15:36, 2 May 2025 (diff | hist) . . (+312)‎ . . N 2023 WSMO Accuracy Round Problems/Problem 8 ‎ (Created page with "==Problem== Let <math>f(x)=x^3-3x^2+4x+5</math> have complex roots <math>a,b,c</math>. Then, the value of <math>\frac{1}{a^2+b^2}+\frac{1}{a^2+c^2}+\frac{1}{b^2+c^2}</math> i...") (current)
• 15:35, 2 May 2025 (diff | hist) . . (+178)‎ . . N 2023 WSMO Accuracy Round Problems/Problem 7 ‎ (Created page with "==Problem== How many ordered triplets of integers <math>(a, b, c)</math> satisfy <math>a^2 + 2ab + b^2 = c^2 - 6c + 9</math> and <math>-2 \le a, b, c \le 7</math>? ==Solution==") (current)
• 15:35, 2 May 2025 (diff | hist) . . (+473)‎ . . N 2023 WSMO Accuracy Round Problems/Problem 6 ‎ (Created page with "==Problem== In quadrilateral <math>ABCD,</math> there exists a point <math>O</math> such that <math>AO = BO = CO = DO</math> and <math>\angle(AOB)+\angle(COD) = 120^{\circ}.<...") (current)
• 15:35, 2 May 2025 (diff | hist) . . (+377)‎ . . N 2023 WSMO Accuracy Round Problems/Problem 5 ‎ (Created page with "==Problem== Bob flips <math>x+1</math> coins and Bobby flips <math>x</math> coins, where <math>x</math> is a random integer chosen between the range of <math>[27,100].</math>...") (current)
• 15:35, 2 May 2025 (diff | hist) . . (+337)‎ . . N 2023 WSMO Accuracy Round Problems/Problem 4 ‎ (Created page with "==Problem== Bob and his 3 friends are standing in a line of 10 people. Given that Bob is not on either end of the line, then the probability the person in front and behind Bo...") (current)
• 15:35, 2 May 2025 (diff | hist) . . (+170)‎ . . N 2023 WSMO Accuracy Round Problems/Problem 3 ‎ (Created page with "==Problem== <math>f(x)=x^3-8x^2+10x-4</math> has complex roots <math>a,b,c</math>. Denote <math>P(n) = a^n+b^n+c^n.</math> Find <math>P(-1)P(0)P(1).</math> ==Solution==") (current)
• 15:35, 2 May 2025 (diff | hist) . . (+473)‎ . . N 2023 WSMO Accuracy Round Problems/Problem 2 ‎ (Created page with "==Problem== When Bob is in precalculus, he gets bored and writes all the permutations in "precal". Since he is not very smart, it takes him 5 seconds to write each permutatio...") (current)
• 15:35, 2 May 2025 (diff | hist) . . (+124)‎ . . N 2023 WSMO Accuracy Round Problems/Problem 1 ‎ (Created page with "==Problem== Let <math>x = \sqrt{69+\sqrt{69+\sqrt{69\dots}}}.</math> Find the value of <math>(2x-1)^2.</math> ==Solution==") (current)
• 15:34, 2 May 2025 (diff | hist) . . (+500)‎ . . N 2023 WSMO Speed Round Problems/Problem 10 ‎ (Created page with "==Problem== Consider acute triangle <math>ABC</math>, <math>H</math> is the orthocenter. Extend <math>AH</math> to meet <math>BC</math> at <math>D</math>. The angle bisector...") (current)
• 15:34, 2 May 2025 (diff | hist) . . (+259)‎ . . N 2023 WSMO Speed Round Problems/Problem 9 ‎ (Created page with "==Problem== Suppose that <math>b</math> and <math>c</math> are the roots of the equation <math>x^2-\log(16)x+\log(64).</math> If <math>\sqrt{a+b}+\sqrt{a+c} = \sqrt{b+c},</ma...") (current)
• 15:34, 2 May 2025 (diff | hist) . . (+233)‎ . . N 2023 WSMO Speed Round Problems/Problem 8 ‎ (Created page with "==Problem== In regular octagon <math>ABCDEFGH</math> of sidelength <math>4,</math> quadrilaterals <math>ACEG</math> and <math>BDFH</math> are drawn. Find the square of the ar...") (current)
• 15:34, 2 May 2025 (diff | hist) . . (+278)‎ . . N 2023 WSMO Speed Round Problems/Problem 7 ‎ (Created page with "==Problem== Let <math>e, a, j</math> be real numbers such that <math>e + a + j = 1</math> and <math>e\geq -\frac{1}{3}</math>, <math>a\geq 1</math> and <math>j\geq-\frac{5}{3...") (current)
• 15:34, 2 May 2025 (diff | hist) . . (+713)‎ . . N 2023 WSMO Speed Round Problems/Problem 6 ‎ (Created page with "==Problem== Let <math>ABC</math> be an equilateral triangle of side length <math>6.</math> Points <math>A_1,A_2,A_3,B_1,B_2,B_3,C_1,C_2,C_3</math> are chosen such that <math>...") (current)
• 15:34, 2 May 2025 (diff | hist) . . (+375)‎ . . N 2023 WSMO Speed Round Problems/Problem 5 ‎ (Created page with "==Problem== There exists a rational polynomial <math>f(x)</math> such that for all <math>x</math> in the range <math>(0,1),</math> <math>f(x)=\sum_{n=1}^{\infty}nx^n.</math>...") (current)
• 15:34, 2 May 2025 (diff | hist) . . (+744)‎ . . N 2023 WSMO Speed Round Problems/Problem 4 ‎ (Created page with "==Problem== A right circular cone is inscribed in a right prism as shown. If the ratio of the volume of the cone to the volume of the prism is <math>\frac{m}{n}\pi,</math> fo...") (current)
• 15:33, 2 May 2025 (diff | hist) . . (+253)‎ . . N 2023 WSMO Speed Round Problems/Problem 3 ‎ (Created page with "==Problem== There are 6 pairs of socks for each color of the rainbow (red, orange, yellow, green, blue, indigo, violet) in a sock drawer. How many socks must be drawn from t...") (current)
• 15:33, 2 May 2025 (diff | hist) . . (+382)‎ . . N 2023 WSMO Speed Round Problems/Problem 2 ‎ (Created page with "==Problem== There are 4 tables and 5 chairs at each table. Each chair seats 2 people. There are 10 people who are seated randomly. Andre and Emily are 2 of them, and are a co...") (current)
• 15:33, 2 May 2025 (diff | hist) . . (+360)‎ . . N 2023 WSMO Speed Round Problems/Problem 1 ‎ (Created page with "==Problem== Find the number of square units in the area of the shaded region. <asy> size(4cm); for (int i=0; i<5; ++i) { for (int j=0; j<5; ++j) { dot((i,j)); } } pair...") (current)
• 15:31, 2 May 2025 (diff | hist) . . (-27)‎ . . 2021 WSMO Accuracy Round Problems/Problem 7 ‎ (current)
• 15:30, 2 May 2025 (diff | hist) . . (-13)‎ . . 2021 WSMO Accuracy Round Problems/Problem 7 ‎
• 15:29, 2 May 2025 (diff | hist) . . (-3)‎ . . 2021 WSMO Accuracy Round Problems/Problem 7 ‎
• 15:29, 2 May 2025 (diff | hist) . . (+39)‎ . . 2021 WSMO Accuracy Round Problems/Problem 7 ‎
• 15:28, 2 May 2025 (diff | hist) . . (-68)‎ . . 2021 WSMO Accuracy Round Problems/Problem 7 ‎
• 15:27, 2 May 2025 (diff | hist) . . (-2)‎ . . 2021 WSMO Speed Round Problems/Problem 6 ‎ (current)
• 15:27, 2 May 2025 (diff | hist) . . (-2)‎ . . 2021 WSMO Speed Round Problems/Problem 4 ‎ (current)
• 15:27, 2 May 2025 (diff | hist) . . (-2)‎ . . 2021 WSMO Speed Round Problems/Problem 1 ‎ (current)
• 15:25, 2 May 2025 (diff | hist) . . (+2)‎ . . 2023 SSMO Relay Round 5 Problems ‎ (current)
• 15:25, 2 May 2025 (diff | hist) . . (+2)‎ . . 2023 SSMO Relay Round 4 Problems ‎ (current)
• 15:25, 2 May 2025 (diff | hist) . . (-15)‎ . . 2023 SSMO Relay Round 3 Problems ‎ (current)
• 15:25, 2 May 2025 (diff | hist) . . (+2)‎ . . 2023 SSMO Relay Round 2 Problems ‎ (current)
• 15:25, 2 May 2025 (diff | hist) . . (+2)‎ . . 2023 SSMO Relay Round 1 Problems ‎
• 15:25, 2 May 2025 (diff | hist) . . (+2)‎ . . 2023 SSMO Tiebreaker Round Problems ‎ (current)
• 15:24, 2 May 2025 (diff | hist) . . (-246)‎ . . 2023 SSMO Team Round Problems ‎
• 15:24, 2 May 2025 (diff | hist) . . (+10)‎ . . 2023 SSMO Speed Round Problems ‎ (current)
• 15:23, 2 May 2025 (diff | hist) . . (+2)‎ . . 2022 SSMO Relay Round 5 Problems ‎
• 15:23, 2 May 2025 (diff | hist) . . (+2)‎ . . 2022 SSMO Relay Round 4 Problems ‎

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