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• 03:50, 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...")
• 03:49, 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,...")
• 03:48, 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...")
• 03:48, 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)
• 03:47, 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)
• 03:46, 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)
• 03:46, 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...")
• 03:45, 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>....")
• 01:25, 20 January 2019 (diff | hist) . . (+1,022)‎ . . m 2018 UNM-PNM Statewide High School Mathematics Contest II Problems ‎ (current)
• 01:21, 20 January 2019 (diff | hist) . . (+806)‎ . . m 2018 UNM-PNM Statewide High School Mathematics Contest II Problems ‎
• 04:31, 19 January 2019 (diff | hist) . . (+435)‎ . . m 2018 UNM-PNM Statewide High School Mathematics Contest II Problems ‎
• 04:21, 19 January 2019 (diff | hist) . . (+8)‎ . . m 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 2 ‎ (→‎Solution)
• 04:20, 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>\...")
• 04:19, 19 January 2019 (diff | hist) . . (+192)‎ . . 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 1 ‎ (→‎Problem)
• 04:18, 19 January 2019 (diff | hist) . . (+166)‎ . . m 2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 1 ‎
• 04:16, 19 January 2019 (diff | hist) . . (+136)‎ . . 2018 UNM-PNM Statewide High School Mathematics Contest II Problems ‎ (→‎Problem 2)
• 04:08, 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>")
• 04:04, 19 January 2019 (diff | hist) . . (+193)‎ . . 2018 UNM-PNM Statewide High School Mathematics Contest II Problems ‎ (→‎Problem 1)
• 04:02, 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...")
• 03:59, 19 January 2019 (diff | hist) . . (-22)‎ . . 2018 UNM-PNM Statewide High School Mathematics Contest II Answer Key ‎ (current)
• 03:57, 19 January 2019 (diff | hist) . . (+13)‎ . . m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 10 ‎ (→‎Solution) (current)
• 03:53, 19 January 2019 (diff | hist) . . (+1,223)‎ . . 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 10 ‎ (→‎Solution)
• 03:41, 19 January 2019 (diff | hist) . . (+1,447)‎ . . 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 9 ‎ (→‎Solution) (current)
• 03:37, 19 January 2019 (diff | hist) . . (+126)‎ . . m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 8 ‎ (→‎Solution) (current)
• 03:34, 19 January 2019 (diff | hist) . . (+851)‎ . . 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 8 ‎ (→‎Solution)
• 03:19, 19 January 2019 (diff | hist) . . (+41)‎ . . 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 7 ‎ (→‎Solution) (current)
• 03:18, 19 January 2019 (diff | hist) . . (+467)‎ . . 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 6 ‎ (→‎Solution) (current)
• 03:14, 19 January 2019 (diff | hist) . . (+218)‎ . . 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 5 ‎ (→‎Solution) (current)
• 03:05, 19 January 2019 (diff | hist) . . (+633)‎ . . 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 4 ‎ (→‎Solution) (current)
• 02:58, 19 January 2019 (diff | hist) . . (+67)‎ . . 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 3 ‎ (→‎Solution) (current)
• 02:50, 19 January 2019 (diff | hist) . . (+54)‎ . . m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 2 ‎ (→‎Solution)
• 02:49, 19 January 2019 (diff | hist) . . (+22)‎ . . m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 1 ‎ (→‎Solution)
• 02:47, 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,...")
• 02:46, 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...")
• 02:46, 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...")
• 02:45, 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...")
• 02:44, 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...")
• 02:43, 19 January 2019 (diff | hist) . . (+16)‎ . . 2017 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 4 ‎ (→‎Problem)
• 02:43, 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...")
• 02:42, 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...")
• 02:42, 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...")
• 02:41, 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...")
• 02:40, 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...")
• 02:36, 19 January 2019 (diff | hist) . . (+252)‎ . . m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems ‎ (→‎Problem 8) (current)
• 02:21, 15 January 2019 (diff | hist) . . (+77)‎ . . m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems ‎ (→‎Problem 10)
• 02:13, 15 January 2019 (diff | hist) . . (+2)‎ . . m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems ‎ (→‎Problem 7)
• 02:12, 15 January 2019 (diff | hist) . . (+2)‎ . . m 2017 UNM-PNM Statewide High School Mathematics Contest II Problems ‎ (→‎Problem 7)
• 02:12, 15 January 2019 (diff | hist) . . (+2,091)‎ . . 2017 UNM-PNM Statewide High School Mathematics Contest II Problems ‎
• 02:01, 15 January 2019 (diff | hist) . . (+925)‎ . . 2017 UNM-PNM Statewide High School Mathematics Contest II Problems ‎
• 01:52, 15 January 2019 (diff | hist) . . (-6)‎ . . 2017 UNM-PNM Statewide High School Mathematics Contest II Problems ‎ (→‎Problem 3)

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