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- 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) [703 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)
- 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...")
- 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...")
- 15:25, 31 August 2025 Basel Problem (hist) [3,969 bytes] Grogg007 (talk | contribs) (Created page with "The Basel Problem asks for the precise sum of the infinite sum of the reciprocal of squares or: <cmath>\sum_{n=1}^{\infty} \frac{1}{n^2} = 1 + \frac{1}{4} + \frac{1}{9} + ......")
- 18:31, 30 August 2025 2020 Mock Combo AMC 10 II Problems/Problem 25 (hist) [0 bytes] Amc82025 (talk | contribs) (Created page with "I SAID JUST DO IT AND MAKE YOUR DREAMS COME TRUE. STOP LOOKING AT THE ANSWERS!!! END OF DISCUSSION!!! -The BFG")
- 18:27, 30 August 2025 2020 Mock Combo AMC 10 II Problems/Problem 1 (hist) [0 bytes] Amc82025 (talk | contribs) (Created page with "So basically, you just do it and make your dreams come true. The End -The BFG")
- 10:05, 30 August 2025 2027 AMC 8 Problems/Problem 24 (hist) [0 bytes] Pearlseal34 (talk | contribs) (Go read a book or something)
- 15:54, 29 August 2025 2025 AMC 10A Problems/Problem 3 (hist) [0 bytes] Adab (talk | contribs) (Created blank page)
- 11:44, 29 August 2025 2018 MPFG Problem 17 (hist) [1,357 bytes] Cassphe (talk | contribs) (Created page with "==Problem== Let <math>ABC</math> be a triangle with <math>AB = 5</math>, <math>BC = 4</math>, and <math>CA = 3</math>. On each side of <math>ABC</math>, externally erect a sem...")
- 05:34, 29 August 2025 Dao Thanh Oai geometric results (hist) [12,697 bytes] Vvsss (talk | contribs) (Created page with "Dao Thanh Oai was born in Vietnam in 1986. He is an engineer with many innovative solutions for Vietnam Electricity and mathematician with a large number of remarkable discove...")
- 03:34, 27 August 2025 2021 MPFG Problem 19 (hist) [1,292 bytes] Cassphe (talk | contribs) (Created page with "==Problem== Let <math>T</math> be a regular tetrahedron. Let <math>t</math> be the regular tetrahedron whose vertices are the centers of the faces of <math>T</math>. Let <math...")
- 17:47, 26 August 2025 2019 MPFG Problem 17 (hist) [1,041 bytes] Aoum (talk | contribs) (Created page with "==Problem== Let <math>P</math> be a right prism whose two bases are equilateral triangles with side length <math>2</math>. The height of <math>P</math> is <math>2\sqrt{3}</mat...")
- 17:47, 26 August 2025 2019 MPFG Problem 15 (hist) [1,680 bytes] Aoum (talk | contribs) (Created page with "==Problem== How many ordered pairs <math>(x, y)</math> of real numbers <math>x</math> and <math>y</math> are there such that <math>-100 \pi \leq x \leq 100 \pi</math>, <math>-...")
- 10:45, 26 August 2025 2016 MPFG Problem 18 (hist) [771 bytes] Cassphe (talk | contribs) (Created page with "==Problem== Let <math>T = \{1, 2, 3, . . . , 14, 15\}</math>. Say that a subset <math>S</math> of <math>T</math> is handy if the sum of all the elements of <math>S</math> is a...")
- 01:13, 26 August 2025 2012 MPFG Problem 10 (hist) [1,994 bytes] Cassphe (talk | contribs) (Created page with "==Problem== Let <math>\Delta ABC</math> be a triangle with a right angle <math>\angle ABC</math>. Let <math>D</math> be the midpoint of <math>BC</math>, let <math>E</math> be...")
- 22:21, 25 August 2025 Log Sums Proof (hist) [772 bytes] Am24 (talk | contribs) (Created page with "The sum for logs with the same base goes as the following: <math>\log_{n}a+\log_{n}b=\log_{n}{ab}</math>. But how is this property true? Make <math>\log_{n}a=x</math> and <...")
- 01:18, 25 August 2025 2018 MPFG Problem 18 (hist) [1,343 bytes] Cassphe (talk | contribs) (Created page with "==Problem== Evaluate the expression <cmath>\left|\Pi_{k=0}^{15} (1+e^{2\pi ik^{2}/31})\right|</cmath> ==Solution 1== <math>\left|\Pi_{k=0}^{15} (1+e^{\frac{2\pi ik^{2}}{31}...")
- 11:36, 24 August 2025 2025 AMC 10A Problems/Problem 8 (hist) [0 bytes] Hongxiaobbb2 (talk | contribs) (wha)
- 02:46, 24 August 2025 2018 MPFG Problem 19 (hist) [1,342 bytes] Cassphe (talk | contribs) (Created page with "==Problem 19== Consider the sum <cmath>S_n = \sum_{k=1}^{n}\frac{1}{\sqrt{2k-1}}</cmath> Determine <math>\lfloor S_{4901} \rfloor</math>. Recall that if <math>x</math> is a...")
- 05:07, 23 August 2025 2011 MPFG Problem 14 (hist) [653 bytes] Cassphe (talk | contribs) (Created page with "==Problem== If <math>0 \leq p \leq 1</math> and <math>0 \leq p \leq 1</math>, define <math>F(p,q)</math> by <math>F(p,q) = -2pq + 3p(1-q) + 3(1-p)q-4(1-p)(1-q)</math>. Define...")
- 02:26, 22 August 2025 2012 MPFG Problem 8 (hist) [936 bytes] Cassphe (talk | contribs) (Created page with "==Problem== Suppose that <math>x</math>, <math>y</math>, and <math>z</math> are real numbers such that <math>x + y + z = 3</math> and <math>x^{2} + y^{2} + z^{2} = 6</math>. W...")
- 18:26, 21 August 2025 2025 AMC 10A Problems/Problem 7 (hist) [0 bytes] Endlessligh (talk | contribs) (Created page with "N=2 for n=1 is true for how many integers z?")
- 01:25, 21 August 2025 2013 MPFG Problem 17 (hist) [1,425 bytes] Cassphe (talk | contribs) (Created page with "==Problem== Let f be the function defined by <math>f(x) = -2 sin(\pi x)</math> . How many values of x such that <math> -2 \leq x \leq 2</math> satisfy the equation <math>f(f(f...")
