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- 11:27, 9 September 2025 2025 SSMO Team Round (hist) [1,130 bytes] Pinkpig (talk | contribs) (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...")
- 11:26, 9 September 2025 2025 SSMO Accuracy Round Problems/Problem 10 (hist) [915 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Accuracy Round Problems/Problem 9 (hist) [442 bytes] Pinkpig (talk | contribs) (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>...")
- 11:26, 9 September 2025 2025 SSMO Accuracy Round Problems/Problem 8 (hist) [4,349 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Accuracy Round Problems/Problem 7 (hist) [3,739 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Accuracy Round Problems/Problem 6 (hist) [3,524 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Accuracy Round Problems/Problem 5 (hist) [3,600 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Accuracy Round Problems/Problem 4 (hist) [1,207 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Accuracy Round Problems/Problem 3 (hist) [869 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Accuracy Round Problems/Problem 2 (hist) [2,013 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Accuracy Round Problems/Problem 1 (hist) [630 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Accuracy Round Answer Key (hist) [42 bytes] Pinkpig (talk | contribs) (Created page with "#800 #26 #50 #21 #102 #18 #294 #9 #768 #57")
- 11:23, 9 September 2025 2025 SSMO Accuracy Round Problems (hist) [5,704 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Accuracy Round (hist) [892 bytes] Pinkpig (talk | contribs) (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...")
- 11:21, 9 September 2025 2025 SSMO Speed Round Answer Key (hist) [44 bytes] Pinkpig (talk | contribs) (Created page with "#6 #15 #455 #178 #170 #630 #72 #15 #191 #166")
- 11:17, 9 September 2025 2025 SSMO Speed Round Problems (hist) [4,677 bytes] Pinkpig (talk | contribs) (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_{...")
- 11:10, 9 September 2025 2025 SSMO Speed Round Problems/Problem 10 (hist) [4,577 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Speed Round Problems/Problem 9 (hist) [3,065 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Speed Round Problems/Problem 8 (hist) [7,437 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Speed Round Problems/Problem 7 (hist) [2,228 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Speed Round Problems/Problem 6 (hist) [1,943 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Speed Round Problems/Problem 5 (hist) [2,715 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Speed Round Problems/Problem 4 (hist) [1,926 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Speed Round Problems/Problem 3 (hist) [998 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Speed Round Problems/Problem 2 (hist) [900 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Speed Round Problems/Problem 1 (hist) [586 bytes] Pinkpig (talk | contribs) (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 2025 SSMO Speed Round (hist) [853 bytes] Pinkpig (talk | contribs) (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_{...")
- 18:05, 8 September 2025 Vieta's formulas (hist) [836 bytes] Timi821 (talk | contribs) (Created page with "Theorem 14.1.4 (Vieta’s Formula For Higher Degree Polynomials) In a polynomial anx n + an−1x n−1 + ... + a1x + a0 = 0 with roots r1, r2, r3, ...rn the following hold...")
- 18:46, 7 September 2025 2007 CEMC Pascal Problems/Problem 6 (hist) [796 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== The value of <math>\frac{\sqrt{64} + \sqrt{36}}{\sqrt{64 + 36}}</math> is <math> \text{ (A) }\ \frac{7}{5} \qquad\text{ (B) }\ \frac{16}{5} \qquad\text{ (C) }\ \f...")
- 18:38, 7 September 2025 2007 CEMC Pascal Problems/Problem 5 (hist) [1,655 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== The table shows the pay Leona earned for two different shifts at the same fixed hourly rate. How much will she earn for a five hour shift at this rate? <math> \te...")
- 18:25, 7 September 2025 2007 CEMC Pascal Problems/Problem 4 (hist) [314 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== The value of <math>2^5 - 5^2</math> is <math> \text{ (A) }\ 0 \qquad\text{ (B) }\ -3 \qquad\text{ (C) }\ -7 \qquad\text{ (D) }\ 3 \qquad\text{ (E) }\ 7</math> ==S...")
- 18:23, 7 September 2025 2007 CEMC Pascal Problems/Problem 3 (hist) [700 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== What fraction of the area of rectangle <math>ABCD</math> is the area of the shaded square? {{Image needed}} <math> \text{ (A) }\ \frac{1}{15} \qquad\text{ (B) }\ \...")
- 18:19, 7 September 2025 2007 CEMC Pascal Problems/Problem 2 (hist) [522 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== Which of the following is the best estimate for the value of <math>x</math> shown on the number line? {{Image needed}} <math> \text{ (A) }\ 1.3 \qquad\text{ (B) }\...")
- 18:16, 7 September 2025 2007 CEMC Pascal Problems/Problem 1 (hist) [417 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== The value of <math>3 \times (7 - 5) - 5</math> is <math> \text{ (A) }\ 11 \qquad\text{ (B) }\ 1 \qquad\text{ (C) }\ -30 \qquad\text{ (D) }\ 11 \qquad\text{ (E) }\...")
- 13:08, 7 September 2025 2009 CEMC Pascal Problems/Problem 13 (hist) [2,324 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== In the diagram, <math>QRS</math> is a straight line. What is the measure of <math>\angle RPS</math>? <math> \text{ (A) }\ 27^{\circ} \qquad\text{ (B) }\ 47^{\circ...")
- 12:44, 7 September 2025 2009 CEMC Pascal Problems/Problem 10 (hist) [933 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== If <math>z = 4</math>, <math>x + y = 7</math>, and <math>x + z = 8</math>, what is the value of <math>x + y + z</math>? <math> \text{ (A) }\ 9 \qquad\text{ (B) }\...")
- 12:37, 7 September 2025 2009 CEMC Pascal Problems/Problem 8 (hist) [717 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== If <math>y = 3</math>, the value of <math>\frac{y^3 + y}{y^2 - y}</math> is <math> \text{ (A) }\ 2 \qquad\text{ (B) }\ 3 \qquad\text{ (C) }\ 4 \qquad\text{ (D) }\...")
- 12:28, 7 September 2025 2009 CEMC Pascal Problems/Problem 7 (hist) [646 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== In the diagram, <math>\triangle PQR</math> is right-angled at <math>Q</math>, <math>PQ</math> is horizontal and <math>QR</math> is vertical. What are the coordinat...")
- 12:25, 7 September 2025 2009 CEMC Pascal Problems/Problem 6 (hist) [310 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== What is the value of <math>(-1)^5 - (-1)^4</math>? <math> \text{ (A) }\ -2 \qquad\text{ (B) }\ -1 \qquad\text{ (C) }\ 0 \qquad\text{ (D) }\ 1 \qquad\text{ (E) }\...")
- 12:21, 7 September 2025 2009 CEMC Pascal Problems/Problem 5 (hist) [618 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== In the diagram, the value of <math>x</math> is {{Image needed}} <math> \text{ (A) }\ 15 \qquad\text{ (B) }\ 20 \qquad\text{ (C) }\ 24 \qquad\text{ (D) }\ 30 \qquad...")
- 12:15, 7 September 2025 2009 CEMC Pascal Problems/Problem 4 (hist) [735 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== There are <math>18</math> classes at Webster Middle School. Each class has <math>28</math> students. On Monday, <math>496</math> students were at school. How many...")
- 12:11, 7 September 2025 2009 CEMC Pascal Problems/Problem 3 (hist) [920 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== The cost of <math>1</math> piece of gum is <math>1</math> cent. What is the cost of <math>1000</math> pieces of gum? <math> \text{ (A) }\ \$0.01 \qquad\text{ (B)...")
- 12:05, 7 September 2025 2009 CEMC Pascal Problems/Problem 2 (hist) [584 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== The graph shows the number of hours Deepit worked over a three day period. What is the total number of hours that he worked on Saturday and Sunday? {{Image needed}...")
- 11:56, 7 September 2025 2009 CEMC Pascal Problems/Problem 1 (hist) [389 bytes] Anabel.disher (talk | contribs) (Created page with "==Problem== What is the value of <math>2 \times 9 - \sqrt{36} + 1</math> <math> \text{ (A) }\ 7 \qquad\text{ (B) }\ 11 \qquad\text{ (C) }\ 8 \qquad\text{ (D) }\ 13 \qquad\tex...")
- 11:43, 7 September 2025 1999 CEMC Pascal Problems/Problem 3 (hist) [685 bytes] Anabel.disher (talk | contribs) (the actual problem has a black heart)
- 18:00, 3 September 2025 Overarc (hist) [570 bytes] Levans (talk | contribs) (Created page with "Texlive (cached) <math>\overarc{AB}</math> Texlive (Non cached) <math>\overarc{ab}</math> MathJax [mathjax]\overarc{ab}[/mathjax] KaTeX [katex]\overarc{ab}[/katex]")
- 09:15, 3 September 2025 2022 MPFG Problem19 (hist) [1,765 bytes] Cassphe (talk | contribs) (Created page with "==Problem== Let <math>S_-</math> be the semicircular arc defined by <cmath>(x+1)^2 + (y-\frac{3}{2})^2 = \frac{1}{4} and x \leq -1. </cmath> Let <math>S_+</math> be the semici...")
- 18:49, 1 September 2025 LEGEND777 (hist) [744 bytes] Hankus 18 (talk | contribs) (fjev whlrv)
- 22:38, 31 August 2025 Simons Summer Research Program (hist) [475 bytes] Gallopingunicorn45 (talk | contribs) (Created page with "The Simons Summer Research Program was founded in 1994 by James and Marilyn Simons. This prestigious program's duration is six weeks and accepts only about forty students nati...")
- 18:21, 31 August 2025 Theoremz (hist) [337 bytes] Theoremz team (talk | contribs) (I wanted to share this website because I think that it offers resources that students could find helpful.)
