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• 15:24, 11 July 2021 (diff | hist) . . (+177)‎ . . N Template:JMPSC Notice ‎ (Created page with "The problems on this page are copyrighted by the [http://jmpsc.org Junior Mathematicians' Problem Solving Competition]. middle <div style="clear:both;"></div>")
• 15:22, 11 July 2021 (diff | hist) . . (0)‎ . . 2021 JMPSC Sprint ‎
• 15:22, 11 July 2021 (diff | hist) . . (0)‎ . . 2021 JMPSC Sprint ‎
• 15:19, 11 July 2021 (diff | hist) . . (-76)‎ . . 2021 JMPSC Sprint ‎ (→‎See also)
• 15:13, 11 July 2021 (diff | hist) . . (-4)‎ . . 2021 JMPSC Sprint ‎
• 15:13, 11 July 2021 (diff | hist) . . (+223)‎ . . 2021 JMPSC Sprint ‎
• 15:10, 11 July 2021 (diff | hist) . . (-4)‎ . . JMPSC Problems and Solutions ‎
• 15:09, 11 July 2021 (diff | hist) . . (+8)‎ . . JMPSC Problems and Solutions ‎
• 15:09, 11 July 2021 (diff | hist) . . (+79)‎ . . JMPSC Problems and Solutions ‎
• 15:02, 11 July 2021 (diff | hist) . . (-81)‎ . . JMPSC Problems and Solutions ‎
• 15:02, 11 July 2021 (diff | hist) . . (-35)‎ . . JMPSC Problems and Solutions ‎
• 15:02, 11 July 2021 (diff | hist) . . (+232)‎ . . JMPSC Problems and Solutions ‎
• 14:57, 11 July 2021 (diff | hist) . . (+36)‎ . . JMPSC Problems and Solutions ‎
• 14:54, 11 July 2021 (diff | hist) . . (-14)‎ . . 2021 JMPSC Invitationals Problems/Problem 4 ‎ (→‎Solution)
• 14:54, 11 July 2021 (diff | hist) . . (+38)‎ . . 2021 JMPSC Invitationals Problems/Problem 4 ‎ (→‎Solution)
• 14:52, 11 July 2021 (diff | hist) . . (+678)‎ . . 2021 JMPSC Invitationals Problems/Problem 8 ‎ (→‎Solution)
• 14:49, 11 July 2021 (diff | hist) . . (-2)‎ . . 2021 JMPSC Invitationals Problems/Problem 11 ‎ (→‎Solution)
• 14:49, 11 July 2021 (diff | hist) . . (+39)‎ . . 2021 JMPSC Invitationals Problems/Problem 11 ‎ (→‎Solution)
• 14:47, 11 July 2021 (diff | hist) . . (+1,438)‎ . . 2021 JMPSC Invitationals Problems/Problem 11 ‎ (→‎Solution)
• 14:45, 11 July 2021 (diff | hist) . . (+24)‎ . . 2021 JMPSC Invitationals Problems/Problem 5 ‎ (→‎Problem)
• 14:45, 11 July 2021 (diff | hist) . . (+798)‎ . . 2021 JMPSC Invitationals Problems/Problem 5 ‎ (→‎Solution)
• 14:44, 11 July 2021 (diff | hist) . . (+16)‎ . . 2021 JMPSC Invitationals Problems/Problem 2 ‎ (→‎Solution)
• 14:27, 11 July 2021 (diff | hist) . . (0)‎ . . 2021 JMPSC Invitationals Problems/Problem 2 ‎ (→‎Solution)
• 14:27, 11 July 2021 (diff | hist) . . (+217)‎ . . 2021 JMPSC Invitationals Problems/Problem 2 ‎ (→‎Solution)
• 14:26, 11 July 2021 (diff | hist) . . (0)‎ . . N File:Invites2.png ‎ (current)
• 14:17, 11 July 2021 (diff | hist) . . (+4,386)‎ . . 2021 JMPSC Invitationals Problems ‎
• 14:11, 11 July 2021 (diff | hist) . . (+16)‎ . . 2021 JMPSC Invitationals Problems/Problem 14 ‎ (→‎Solution)
• 14:10, 11 July 2021 (diff | hist) . . (+5,313)‎ . . N 2021 JMPSC Invitationals Problems/Problem 14 ‎ (Created page with "==Problem== Let there be a <math>\triangle ACD</math> such that <math>AC=5</math>, <math>AD=12</math>, and <math>CD=13</math>, and let <math>B</math> be a point on <math>AD</m...")
• 14:09, 11 July 2021 (diff | hist) . . (+378)‎ . . N 2021 JMPSC Invitationals Problems/Problem 15 ‎ (Created page with "==Problem== Abhishek is choosing positive integer factors of <math>2021 \times 2^{2021}</math> with replacement. After a minute passes, he chooses a random factor and writes i...")
• 14:08, 11 July 2021 (diff | hist) . . (+957)‎ . . N 2021 JMPSC Invitationals Problems/Problem 13 ‎ (Created page with "==Problem== Let <math>p</math> be a prime and <math>n</math> be an odd integer (not necessarily positive) such that <cmath>\dfrac{p^{n+p+2021}}{(p+n)^2}</cmath> is an integer....")
• 14:07, 11 July 2021 (diff | hist) . . (+230)‎ . . N 2021 JMPSC Invitationals Problems/Problem 12 ‎ (Created page with "==Problem== Rectangle <math>ABCD</math> is drawn such that <math>AB=7</math> and <math>BC=4</math>. <math>BDEF</math> is a square that contains vertex <math>C</math> in its in...")
• 14:07, 11 July 2021 (diff | hist) . . (+209)‎ . . N 2021 JMPSC Invitationals Problems/Problem 11 ‎ (Created page with "==Problem== For some <math>n</math>, the arithmetic progression <cmath>4,9,14,\ldots,n</cmath> has exactly <math>36</math> perfect squares. Find the maximum possible value of...")
• 14:07, 11 July 2021 (diff | hist) . . (+441)‎ . . N 2021 JMPSC Invitationals Problems/Problem 10 ‎ (Created page with "==Problem== A point <math>P</math> is chosen in isosceles trapezoid <math>ABCD</math> with <math>AB=4</math>, <math>BC=20</math>, <math>CD=28</math>, and <math>DA=20</math>. I...")
• 14:07, 11 July 2021 (diff | hist) . . (+249)‎ . . N 2021 JMPSC Invitationals Problems/Problem 9 ‎ (Created page with "==Problem== In <math>\triangle ABC</math>, let <math>D</math> be on <math>\overline{AB}</math> such that <math>AD=DC</math>. If <math>\angle ADC=2\angle ABC</math>, <math>AD=1...")
• 14:06, 11 July 2021 (diff | hist) . . (+2)‎ . . 2021 JMPSC Invitationals Problems/Problem 8 ‎ (→‎Problem)
• 14:05, 11 July 2021 (diff | hist) . . (+197)‎ . . N 2021 JMPSC Invitationals Problems/Problem 8 ‎ (Created page with "==Problem== Let <math>x</math> and <math>y</math> be real numbers that satisfy <cmath>(x+y)^2(20x+21y) = 12</cmath> (x+y)(20x+21y)^2 = 18.<math></math> Find <math>21x+20y</mat...")
• 14:05, 11 July 2021 (diff | hist) . . (+411)‎ . . N 2021 JMPSC Invitationals Problems/Problem 7 ‎ (Created page with "==Problem== In a <math>3 \times 3</math> grid with nine square cells, how many ways can Jacob shade in some nonzero number of cells such that each row, column, and diagonal c...")
• 14:04, 11 July 2021 (diff | hist) . . (+487)‎ . . N 2021 JMPSC Invitationals Problems/Problem 6 ‎ (Created page with "==Problem== Five friends decide to meet together for a party. However, they did not plan the party well, and at noon, every friend leaves their own house and travels to one of...")
• 14:03, 11 July 2021 (diff | hist) . . (0)‎ . . 2021 JMPSC Invitationals Problems/Problem 5 ‎ (→‎Problem)
• 14:02, 11 July 2021 (diff | hist) . . (+434)‎ . . N 2021 JMPSC Invitationals Problems/Problem 5 ‎ (Created page with "==Problem== An <math>n</math>-pointed fork is a figure that consists of two parts: a handle that weighs <math>12</math> ounces and <math>n</math> "skewers" that each weigh a n...")
• 14:02, 11 July 2021 (diff | hist) . . (0)‎ . . N File:Invites5.png ‎ (current)
• 14:01, 11 July 2021 (diff | hist) . . (-1)‎ . . 2021 JMPSC Invitationals Problems/Problem 4 ‎ (→‎Problem)
• 14:01, 11 July 2021 (diff | hist) . . (+340)‎ . . N 2021 JMPSC Invitationals Problems/Problem 4 ‎ (Created page with "==Problem== Let <math>(x_n)_{n\geq 0}</math> and <math>(y_n)_{n\geq 0}</math> be sequences of real numbers such that <math>x_0 = 3</math>, <math>y_0 = 1</math>, and, for all...")
• 14:00, 11 July 2021 (diff | hist) . . (+238)‎ . . N 2021 JMPSC Invitationals Problems/Problem 3 ‎ (Created page with "==Problem== There are exactly <math>5</math> even positive integers less than or equal to <math>100</math> that are divisible by <math>x</math>. What is the sum of all possibl...")
• 13:59, 11 July 2021 (diff | hist) . . (+201)‎ . . N 2021 JMPSC Invitationals Problems/Problem 2 ‎ (Created page with "==Problem== Two quadrilaterals are drawn on the plane such that they share no sides. What is the maximum possible number of intersections of the boundaries of the two quadrila...")
• 13:59, 11 July 2021 (diff | hist) . . (+176)‎ . . N 2021 JMPSC Invitationals Problems/Problem 1 ‎ (Created page with "==Problem== The equation <math>ax^2 + 5x = 4,</math> where <math>a</math> is some constant, has <math>x = 1</math> as a solution. What is the other solution? ==Solution== asdf")
• 13:58, 11 July 2021 (diff | hist) . . (+1,625)‎ . . N 2021 JMPSC Invitationals Problems ‎ (Created page with "#This is a fifteen question free-response test. Each question has exactly one integer answer. #You have 80 minutes to complete the test. #You will receive 15 points for each c...")
• 13:50, 11 July 2021 (diff | hist) . . (+61)‎ . . N 2021 JMPSC Invitationals Answer Key ‎ (Created page with "#4 #16 #47 #307 #22 #271 #17 #79 #24 #59 #8459 #83 #-8 #24 #8") (current)
• 12:57, 11 July 2021 (diff | hist) . . (+498)‎ . . 2021 JMPSC Accuracy Problems/Problem 11 ‎ (→‎Solution 3 (A Little Bashy))
• 12:43, 11 July 2021 (diff | hist) . . (+1,312)‎ . . N 2021 JMPSC Invitationals ‎ (Created page with "'''2021 JMPSC Invitationals (Middle School)''' problems and solutions. The test was held on July 10th, 2021. *2021 JMPSC Invitationals Problems *2021 JMPSC Invitationa...")

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