20 January 2019

• 03:5003:50, 20 January 2019 diff hist +606 N 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 10 Created page with "== Problem == Let <math>A,B,C</math> and <math>D</math> be points in the Cartesian plane each a distance <math>1</math> from the origin <math>(0,0)</math>. We define additio..."
• 03:4903:49, 20 January 2019 diff hist +403 N 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 9 Created page with "== Problem == Find the number of <math>4</math>-tuples <math>(a,b,c,d)</math> with <math>a, b, c</math> and <math>d</math> positive integers, such that <math>x^2-ax + b = 0,..."
• 03:4803:48, 20 January 2019 diff hist +474 N 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 8 Created page with "== Problem == Using red, blue and yellow colored toothpicks and marshmallows, how many ways are there to construct distinctly colored regular hexagons? (Note that two colored..."
• 03:4803:48, 20 January 2019 diff hist +335 N 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 7 Created page with "== Problem == Let <math>a,b</math> be positive real numbers such that <math>\frac{1}{a}+ \frac{1}{b} = 1</math>. Show that <math>(a + b)^{2018}-a^{2018}-b^{2018}>= 2^{2\cdot..." current
• 03:4703:47, 20 January 2019 diff hist +634 N 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 6 Created page with "== Problem == A round robin chess tournament took place between <math>16</math> players. In such a tournament, each player plays each of the other players exactly once. A win..." current
• 03:4603:46, 20 January 2019 diff hist +313 N 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 5 Created page with "== Problem == Let <math>x</math> and <math>y</math> be two real numbers satisfying <math>x-4\sqrt{y} = 2\sqrt{x-y}</math>. What are all the possible values of <math>x</math>?..." current
• 03:4603:46, 20 January 2019 diff hist +364 N 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 4 Created page with "== Problem == Suppose ABCD is a parallelogram with area <math>39\sqrt{95}</math> square units and <math>\angle{DAC}</math> is a right angle. If the lengths of all the sides o..."
• 03:4503:45, 20 January 2019 diff hist +383 N 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 3 Created page with "== Problem == Let <math>a_1 < a_2 < a_3</math> be three positive integers in the interval <math>[1,14]</math> satisfying <math>a_2-a_1>=3</math> and <math>a_3-a_2>=3</math>...."
• 01:2501:25, 20 January 2019 diff hist +1,022 m 2018 UNM-PNM Statewide High School Mathematics Contest II Problems No edit summary current
• 01:2101:21, 20 January 2019 diff hist +806 m 2018 UNM-PNM Statewide High School Mathematics Contest II Problems No edit summary

19 January 2019

• 04:3104:31, 19 January 2019 diff hist +435 m 2018 UNM-PNM Statewide High School Mathematics Contest II Problems No edit summary
• 04:2104:21, 19 January 2019 diff hist +8 m 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 2 →Solution
• 04:2004:20, 19 January 2019 diff hist +318 N 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 2 Created page with "== Problem == Determine all positive integers <math>a</math> such that <math>a < 100</math> and <math>a^3 + 23</math> is divisible by <math>24</math>. == Solution== <math>\..."
• 04:1904:19, 19 January 2019 diff hist +192 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 1 →Problem
• 04:1804:18, 19 January 2019 diff hist +166 m 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 1 No edit summary
• 04:1604:16, 19 January 2019 diff hist +136 2018 UNM-PNM Statewide High School Mathematics Contest II Problems →Problem 2
• 04:0804:08, 19 January 2019 diff hist +24 N 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 1 Created page with "<math>\frac{8}{3}</math>"
• 04:0404:04, 19 January 2019 diff hist +193 2018 UNM-PNM Statewide High School Mathematics Contest II Problems →Problem 1
• 04:0204:02, 19 January 2019 diff hist +1,177 N 2018 UNM-PNM Statewide High School Mathematics Contest II Problems Created page with "UNM - PNM STATEWIDE MATHEMATICS CONTEST L. February 3, 2018. Second Round. Three Hours ==Problem 1== 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/P..."
• 03:5903:59, 19 January 2019 diff hist −22 2018 UNM-PNM Statewide High School Mathematics Contest II Answer Key No edit summary current
• 03:5703:57, 19 January 2019 diff hist +13 m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 10 →Solution current
• 03:5303:53, 19 January 2019 diff hist +1,223 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 10 →Solution
• 03:4103:41, 19 January 2019 diff hist +1,447 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 9 →Solution current
• 03:3703:37, 19 January 2019 diff hist +126 m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 8 →Solution
• 03:3403:34, 19 January 2019 diff hist +851 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 8 →Solution
• 03:1903:19, 19 January 2019 diff hist +41 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 7 →Solution current
• 03:1803:18, 19 January 2019 diff hist +467 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 6 →Solution current
• 03:1403:14, 19 January 2019 diff hist +218 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 5 →Solution current
• 03:0503:05, 19 January 2019 diff hist +633 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 4 →Solution current
• 02:5802:58, 19 January 2019 diff hist +67 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 3 →Solution current
• 02:5002:50, 19 January 2019 diff hist +54 m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 2 →Solution
• 02:4902:49, 19 January 2019 diff hist +22 m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 1 →Solution
• 02:4702:47, 19 January 2019 diff hist +1,327 N 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 10 Created page with " == Problem == Newton’s method applied to the equation <math>f(x) = x^3-x</math> takes the form of the iteration <math>x_{n+1} =x_n-\frac{(x_n)^3-x_n}{3{x_n}^2-1} , n = 0,..."
• 02:4602:46, 19 January 2019 diff hist +845 N 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 9 Created page with " == Problem == Consider a triangulation (mesh) of a polygonal domain like the one in the figure below. (a) Given the vertices of a triangle, devise a strategy for determini..."
• 02:4602:46, 19 January 2019 diff hist +725 N 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 8 Created page with " == Problem == <asy> pair C=(0,0),A=(0,12),B=(5,0); draw(C--A--B--C,dot); MP("A",A,N);MP("C",C,SW);MP("B",B,E); real r=10/3; pair X=(0,r),Y=X+r*(12/13,5/13); draw(X--Y,dot..."
• 02:4502:45, 19 January 2019 diff hist +287 N 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 7 Created page with " == Problem == Find a formula for <math>\sum_{k=0}^{\lfloor \frac{n}{4} \rfloor } \binom{n}{4k}</math> for any natural number <math>n</math>. == Solution== == See also..."
• 02:4402:44, 19 January 2019 diff hist +563 N 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 6 Created page with " == Problem == There are <math>12</math> stacks of <math>12</math> coins. Each of the coins in <math>11</math> of the <math>12</math> stacks weighs <math>10</math> grams eac..."
• 02:4302:43, 19 January 2019 diff hist +16 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 4 →Problem
• 02:4302:43, 19 January 2019 diff hist +343 N 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 5 Created page with " == Problem == Find all real triples <math>(x,y,z)</math> which are solutions to the system: <math>x^3 + x^2y + x^2z = 40</math> <math>y^3 + y^2x + y^2z = 90</math> <math..."
• 02:4202:42, 19 January 2019 diff hist +343 N 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 4 Created page with " == Problem == Find all real triples <math>(x,y,z)</math> which are solutions to the system: <math>x^3 + x^2y + x^2z = 40</math> <math>y^3 + y^2x + y^2z = 90</math> <math..."
• 02:4202:42, 19 January 2019 diff hist +570 N 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 3 Created page with " == Problem == Let <math>f(x)=\frac{x}{x-1}</math> and <math>g(x)=\frac{x}{3x-1}</math>. (a) Determine <math>f\circ g(x)</math> and <math>g\circ f(x)</math>. (b) Denote..."
• 02:4102:41, 19 January 2019 diff hist +362 N 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 2 Created page with " == Problem == Suppose <math>A, R, S</math>, and <math>T</math> all denote distinct digits from <math>1</math> to <math>9</math>. If <math>\sqrt{STARS} = SAT</math>, what ar..."
• 02:4002:40, 19 January 2019 diff hist +231 N 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 1 Created page with " == Problem == What are the last two digits of <math>2017^{2017}</math>? == Solution== == See also == {{UNM-PNM Math Contest box|year=2017|n=II|before=First question|num..."
• 02:3602:36, 19 January 2019 diff hist +252 m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems →Problem 8 current

15 January 2019

• 02:2102:21, 15 January 2019 diff hist +77 m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems →Problem 10
• 02:1302:13, 15 January 2019 diff hist +2 m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems →Problem 7
• 02:1202:12, 15 January 2019 diff hist +2 m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems →Problem 7
• 02:1202:12, 15 January 2019 diff hist +2,091 2017 UNM-PNM Statewide High School Mathematics Contest II Problems No edit summary
• 02:0102:01, 15 January 2019 diff hist +925 2017 UNM-PNM Statewide High School Mathematics Contest II Problems No edit summary
• 01:5201:52, 15 January 2019 diff hist −6 2017 UNM-PNM Statewide High School Mathematics Contest II Problems →Problem 3