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- 18:52, 13 October 2025 2015 CEMC Gauss (Grade 8) Problems/Problem 15 (hist) [1,478 bytes] Anabel.disher (talk | contribs) (Created page with "== Problem== Two puppies, Walter and Stanley, are growing at different but constant rates. Walter’s mass is <math>12</math> kg and he is growing at a rate of <math>2</math>...")
- 18:52, 13 October 2025 2005 iTest Problems/Problem 15 (hist) [1,992 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== Kathryn has a crush on Joe. Dressed as Catwoman, she attends the same school Halloween party as Joe, hoping he will be there. If Joe gets beat up, Kathryn will be...")
- 18:47, 13 October 2025 2005 iTest Problems/Problem 35 (hist) [899 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== How many values of <math>x</math> satisfy the equation <math>(x^2 - 9x + 19)^{x^2 + 16x + 60 }= 1?</math> ==Solution 1== This equation is satisfied when: (1) <mat...")
- 18:38, 13 October 2025 2005 iTest Problems/Problem 32 (hist) [331 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== Find the shortest distance between the points <math>(3,5)</math> and <math>(7,8)</math>. ==Solution 1== This is a direct application of the distance formula. Our a...")
- 18:36, 13 October 2025 2005 iTest Problems/Problem 26 (hist) [1,540 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== Joe and Kathryn are both on the school math team, which practices every Wednesday after school until <math>4</math> PM for competitions. The team was preparing for...")
- 18:31, 13 October 2025 2005 iTest Problems/Problem 25 (hist) [769 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== Consider the set <math>\{1!, 2!, 3!, 4!, …, 2004!, 2005!\}</math>. How many elements of this set are divisible by <math>2005</math>? ==Solution 1== If for any <m...")
- 18:22, 13 October 2025 2005 iTest Problems/Problem 13 (hist) [1,330 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== In a moment of impaired thought, Joe decides he wants to dress up as a member of NSYNC for his school Halloween party that night. If he dresses up as JC Chasez, he...")
- 18:17, 13 October 2025 2005 iTest Problems/Problem 12 (hist) [598 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== A sphere sits inside a cubic box, tangent on all <math>6</math> sides of the box. If a side of the box is <math>5</math>, and the volume of the sphere is <math>x\p...")
- 16:34, 13 October 2025 2005 iTest Problems/Problem 9 (hist) [573 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== Find the area of the triangle with vertices of <math>(1,2)</math>, <math>(1,10)</math>, and <math>(5, 5)</math>. ==Solution 1== Since <math>(1,2)</math> and <math...")
- 16:26, 13 October 2025 2005 iTest Problems/Problem 16 (hist) [844 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== How many distinct integral solutions of the form <math>(x, y)</math> exist to the equation<math> 21x + 22y = 43</math> such that <math>1 < x < 11</math> and <math>...")
- 16:24, 13 October 2025 2005 iTest Problems/Problem 10 (hist) [735 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== How many distinct integral solutions of the form <math>(x, y)</math> exist to the equation<math> 21x + 22y = 43</math> such that <math>1 < x < 11</math> and <math>...")
- 16:20, 13 October 2025 2005 iTest Problems/Problem 11 (hist) [489 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== Find the radius of the inscribed circle of a triangle with sides of length <math>40</math>, <math>42</math>, and <math>58</math>. ==Solution 1== We can start by f...")
- 16:13, 13 October 2025 2005 iTest Problems/Problem 6 (hist) [1,207 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== Kathryn, for a history project on sports, chronicled the history of college football. When she mentioned that Auburn got cheated out of the NCAA Football champions...")
- 16:09, 13 October 2025 2005 iTest Problems/Problem 5 (hist) [1,024 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== <math>\sin 30^\circ + \sin 45^\circ + \sin 60^\circ + \sin 90^\circ + \cos 120^\circ + \cos 135^\circ + \cos 150^\circ + \cos 180^\circ = ?</math> ==Solution 1==...")
- 15:58, 13 October 2025 2005 iTest Problems/Problem 3 (hist) [613 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== Carrie, Miranda, Charlotte, and Samantha are sitting at a table with <math>5</math> numbered chairs (numbered <math>1</math> through <math>5</math>). One chair is...")
- 15:55, 13 October 2025 2005 iTest Problems/Problem 7 (hist) [461 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== Find the coefficient of the fourth term of the expansion of <math>(x+y)^{15}</math>. ==Solution 1== The coefficient of the <math>n</math>th term in the expansion...")
- 15:43, 13 October 2025 2005 iTest Problems/Problem 22 (hist) [728 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== A regular <math>n</math>-gon has <math>135</math> diagonals. What is the measure of its exterior angle, in degrees? (An exterior angle is the supplement of an inte...")
- 15:39, 13 October 2025 2005 iTest Problems/Problem 23 (hist) [536 bytes] Mathloveryeah (talk | contribs) (Created page with "==Problem== <math>\sqrt[3]{x+\sqrt[3]{x+\sqrt[3]{x+ \sqrt[3]{x ...}}}}= 8</math>. Find <math>x</math>. ==Solution 1== Cube both sides. Rearranging, we find that <math>512-x=\...")
- 15:05, 13 October 2025 2006 iTest Problems/Problem 38 (hist) [3,855 bytes] Mathloveryeah (talk | contribs) (Solution to 2006 iTest Problem 38)
- 13:31, 13 October 2025 2015 CEMC Gauss (Grade 8) Problems/Problem 14 (hist) [1,764 bytes] Anabel.disher (talk | contribs) (Created page with "== Problem== Carolyn has a <math>\$5</math> bill, a <math>\$10</math> bill, a <math>\$20</math> bill, and a <math>\$50</math> bill in her wallet. She closes her eyes and remov...")
- 13:22, 13 October 2025 2015 CEMC Gauss (Grade 8) Problems/Problem 13 (hist) [1,635 bytes] Anabel.disher (talk | contribs) (Created page with "== Problem== In the graph shown, which of the following represents the image of the line segment <math>PQ</math> after a reflection across the <math>x</math>-axis? {{Image nee...")
- 13:13, 13 October 2025 2015 CEMC Gauss (Grade 8) Problems/Problem 12 (hist) [685 bytes] Anabel.disher (talk | contribs) (Created page with "== Problem== Zara's bicycle tire has a circumference of <math>1.5</math>m. If Zara travels <math>900</math>m on her bike, how many full rotations will her tire make? <math> \...")
- 13:10, 13 October 2025 2015 CEMC Gauss (Grade 8) Problems/Problem 11 (hist) [1,028 bytes] Anabel.disher (talk | contribs) (Created page with "== Problem== In the diagram, the value of <math>x</math> is {{Image needed}} <math> \textbf{(A)}\ 40 \qquad\textbf{(B)}\ 50 \qquad\textbf{(C)}\ 60 \qquad\textbf{(D)}\ 70 \qqua...")
- 13:03, 13 October 2025 2015 CEMC Gauss (Grade 8) Problems/Problem 10 (hist) [738 bytes] Anabel.disher (talk | contribs) (Created page with "== Problem== The number represented by <math>\Box</math> so that <math>\frac{1}{2} + \frac{1}{4} = \frac{\Box}{12}</math> is <math> \textbf{(A)}\ 3 \qquad\textbf{(B)}\ 12 \qq...")
- 12:58, 13 October 2025 2015 CEMC Gauss (Grade 8) Problems/Problem 8 (hist) [806 bytes] Anabel.disher (talk | contribs) (Created page with "== Problem== At the beginning of the summer, Aidan was 160 cm tall. At the end of the summer, he measured his height again and discovered that it had increased by <math>5\%<...")
- 11:12, 13 October 2025 Euclid 2019/Problem 4 (hist) [216 bytes] Yuhao2012 (talk | contribs) (Created page with "== Euclid 2019 Problem 4 == This page consists of 2 sub-problems. * Euc20194/Sub-Problem 1 * Euc20194/Sub-Problem 2 [https://artofproblemsolving.com/wiki/index.php/...")
- 10:56, 13 October 2025 Euclid 2019/Problem 3 (hist) [1,457 bytes] Yuhao2012 (talk | contribs) (Created page with "==Problem== (a) Michelle calculates the average of the following numbers: <math>5, 10, 15, 16, 24, 28, 33, 37</math>. Daphne removes one number and calculates the average of...")
- 10:52, 13 October 2025 Euclid 2019/Problem 5 (hist) [840 bytes] Baihly2024 (talk | contribs) (Created page with "==Problem== (a) Determine the two pairs of positive integers <math>(a,b)</math> with <math>a<b</math> that satisfy the equation <math>\sqrt a+\sqrt b=\sqrt 50</math>. (b) Co...")
- 10:42, 13 October 2025 Euclid 2019/Problem 2 (hist) [283 bytes] Yuhao2012 (talk | contribs) (Created page with "==Problem== (a) (b) (c)")
- 10:39, 13 October 2025 Euc20191/Sub-Problem 3 (hist) [370 bytes] Yuhao2012 (talk | contribs) (Created page with "==Problem== If <math>\frac{1}{x^2}-\frac{1}{x}=2</math>, determine all possible values of <math>x</math>. ==Solution== Let's start by multiplying both sides by <math>x^2</mat...")
- 09:52, 13 October 2025 Euc20191/Sub-Problem 2 (hist) [344 bytes] Baihly2024 (talk | contribs) (Created page with "==Problem== What integer <math>a</math> satisfies <math>3<\frac{24}{a}<4</math>?")
- 09:45, 13 October 2025 Euc20191/Sub-Problem 1 (hist) [556 bytes] Baihly2024 (talk | contribs) (Created page with "==Problem== <math>(a)</math> Joyce has two identical jars. The first jar is <math>\frac{3}{4}</math> full of water and contains <math>300</math> mL of water. The second jar i...")
- 13:54, 12 October 2025 2016 CEMC Gauss (Grade 8) Problems/Problem 10 (hist) [552 bytes] Anabel.disher (talk | contribs) (Created page with "== Problem== The circumference of a circle is <math>100\pi \text{cm}</math>. What is the radius of the circle? <math> \textbf{(A)}\ 20 \text {cm} \qquad\textbf{(B)}\ 100 \tex...")
- 13:49, 12 October 2025 2016 CEMC Gauss (Grade 8) Problems/Problem 9 (hist) [960 bytes] Anabel.disher (talk | contribs) (Created page with "== Problem== <math>10\%</math> of <math>200</math> is equal to <math>20\%</math> of <math> \textbf{(A)}\ 40 \qquad\textbf{(B)}\ 50 \qquad\textbf{(C)}\ 100 \qquad\textbf{(D)}\...")
- 13:44, 12 October 2025 2016 CEMC Gauss (Grade 8) Problems/Problem 8 (hist) [835 bytes] Anabel.disher (talk | contribs) (Created page with "== Problem== Gaby lists the numbers <math>3, 4, 5, 6, 7, 8, \text{and} 9</math>. In her list, the ratio of the number of prime numbers to the number of composite numbers is <...")
- 13:40, 12 October 2025 2016 CEMC Gauss (Grade 8) Problems/Problem 7 (hist) [911 bytes] Anabel.disher (talk | contribs) (Created page with "== Problem== A rectangle with a width of <math>2 \text{cm}</math> and a length of <math>18 \text{cm}</math> has the same area as a square with a side length of <math> \textbf...")
- 16:00, 11 October 2025 AoPS Wiki (hist) [152 bytes] Aoum (talk | contribs) (Created page with "The '''AoPS Wiki''' project is administered by the Art of Problem Solving for supporting educational content useful to avid math students. {{stub}}")
- 04:32, 10 October 2025 Desargue's Theorem (hist) [6,359 bytes] Maphycom (talk | contribs) (Created page with "== Introduction == Desargues' Theorem is a renowned theorem that relates the axis and the center of perspective of two triangles. Therefore, before we dive into Desargues' The...")
- 09:25, 7 October 2025 2025 CEMC Gauss (Grade 7) Problems/Problem 1 (hist) [451 bytes] Anabel.disher (talk | contribs) (Created page with "== Problem== In a group of <math>12</math> friends, each friend gives <math>\$5</math> to a charity. How much money does the group give in total? <math> \textbf{(A)}\ \$50\qq...")
- 09:21, 7 October 2025 2025 CEMC Gauss (Grade 7) (hist) [1,716 bytes] Anabel.disher (talk | contribs) (Created page with "2025 CEMC Gauss (Grade 7) problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * 2025...")
- 09:20, 7 October 2025 2024 CEMC Gauss (Grade 7) (hist) [1,716 bytes] Anabel.disher (talk | contribs) (Created page with "2024 CEMC Gauss (Grade 7) problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * 2024...")
- 09:20, 7 October 2025 2023 CEMC Gauss (Grade 7) (hist) [1,716 bytes] Anabel.disher (talk | contribs) (Created page with "2023 CEMC Gauss (Grade 7) problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * 2023...")
- 09:19, 7 October 2025 2022 CEMC Gauss (Grade 7) (hist) [1,716 bytes] Anabel.disher (talk | contribs) (Created page with "2022 CEMC Gauss (Grade 7) problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * 2022...")
- 09:18, 7 October 2025 2021 CEMC Gauss (Grade 7) (hist) [1,716 bytes] Anabel.disher (talk | contribs) (Created page with "2021 CEMC Gauss (Grade 7) problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * 2021...")
- 09:17, 7 October 2025 2020 CEMC Gauss (Grade 7) (hist) [1,716 bytes] Anabel.disher (talk | contribs) (Created page with "2020 CEMC Gauss (Grade 7) problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * 2020...")
- 09:16, 7 October 2025 2019 CEMC Gauss (Grade 7) (hist) [1,716 bytes] Anabel.disher (talk | contribs) (Created page with "2019 CEMC Gauss (Grade 7) problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * 2019...")
- 09:15, 7 October 2025 2018 CEMC Gauss (Grade 7) (hist) [1,716 bytes] Anabel.disher (talk | contribs) (Created page with "2018 CEMC Gauss (Grade 7) problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * 2018...")
- 09:14, 7 October 2025 2017 CEMC Gauss (Grade 7) (hist) [1,716 bytes] Anabel.disher (talk | contribs) (Created page with "2017 CEMC Gauss (Grade 7) problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * 2017...")
- 09:14, 7 October 2025 2016 CEMC Gauss (Grade 7) (hist) [1,716 bytes] Anabel.disher (talk | contribs) (Created page with "2016 CEMC Gauss (Grade 7) problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * 2016...")
- 09:11, 7 October 2025 2015 CEMC Gauss (Grade 7) (hist) [1,716 bytes] Anabel.disher (talk | contribs) (Created page with "2015 CEMC Gauss (Grade 7) problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * 2015...")
