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• 14:39, 20 October 2014 (diff | hist) . . (-2)‎ . . m 1993 UNCO Math Contest II Problems/Problem 6 ‎ (→‎Problem)
• 01:54, 20 October 2014 (diff | hist) . . (+748)‎ . . N 1993 UNCO Math Contest II Problems/Problem 10 ‎ (Created page with "== Problem == The scalene triangle <math>ABC</math> has side lengths <math>51, 52, 53.</math> <math>AD</math> is perpendicular to <math>BC.</math> <asy> draw((0,0)--(52,0)--(24,...")
• 01:53, 20 October 2014 (diff | hist) . . (+703)‎ . . N 1993 UNCO Math Contest II Problems/Problem 9 ‎ (Created page with "== Problem == Let <math>P</math> be a point inside the rectangle <math>ABCD</math>. If <math>AP=5</math> , <math>BP=11</math> and <math>CP=10</math>, find the length of <math>DP...")
• 01:53, 20 October 2014 (diff | hist) . . (+420)‎ . . N 1993 UNCO Math Contest II Problems/Problem 8 ‎ (Created page with "== Problem == For what integer value of <math>n</math> is the expression <cmath>\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+\cdots +\frac...")
• 01:52, 20 October 2014 (diff | hist) . . (+553)‎ . . N 1993 UNCO Math Contest II Problems/Problem 7 ‎ (Created page with "== Problem == Choose four numbers by circling exactly one number in each horizontal row, and one number in each vertical column. Compute the product of these four numbers. Expla...")
• 01:52, 20 October 2014 (diff | hist) . . (+465)‎ . . N 1993 UNCO Math Contest II Problems/Problem 6 ‎ (Created page with "== Problem == Observe that <cmath>\begin{align*} 2^2+3^2+6^3 &= 7^2 \\ 3^2+4^2+12^3 &= 13^2 \\ 4^2+5^2+20^3 &= 21^2 \\ \end{align*}</cmath> (a) Find integers <math>x</math> a...")
• 01:51, 20 October 2014 (diff | hist) . . (+300)‎ . . N 1993 UNCO Math Contest II Problems/Problem 5 ‎ (Created page with "== Problem == A collection of <math>25</math> consecutive positive integers adds to <math>1000.</math> What are the smallest and largest integers in this collection? == Soluti...")
• 01:50, 20 October 2014 (diff | hist) . . (+641)‎ . . N 1993 UNCO Math Contest II Problems/Problem 4 ‎ (Created page with "== Problem == The table gives some of the straight line distances between certain pairs of cities. for example the distance between city <math>A</math> and city <math>B</math> i...")
• 01:50, 20 October 2014 (diff | hist) . . (+320)‎ . . N 1993 UNCO Math Contest II Problems/Problem 3 ‎ (Created page with "== Problem == A student thinks of four numbers. She adds them in pairs to get the six sums <math>9,18,21,23,26,35.</math> What are the four numbers? There are two different so...")
• 01:49, 20 October 2014 (diff | hist) . . (+312)‎ . . N 1993 UNCO Math Contest II Problems/Problem 2 ‎ (Created page with "== Problem == Determine the digit in the <math>623^{rd}</math> place after the decimal point in the repeating decimal for: <cmath>\frac{1}{9}+\frac{2}{99}+\frac{3}{999}.</cmath>...")
• 01:49, 20 October 2014 (diff | hist) . . (+601)‎ . . N 1993 UNCO Math Contest II Problems/Problem 1 ‎ (Created page with "== Problem == How many times must one shoot at this target, and which rings must one hit in order to score exactly <math>100</math> points. <asy> draw(circle((0,0),1),black); d...")
• 01:47, 20 October 2014 (diff | hist) . . (0)‎ . . m 1993 UNCO Math Contest II Problems ‎
• 01:44, 20 October 2014 (diff | hist) . . (+714)‎ . . 1993 UNCO Math Contest II Problems ‎
• 01:13, 20 October 2014 (diff | hist) . . (+1,116)‎ . . 1993 UNCO Math Contest II Problems ‎
• 00:59, 20 October 2014 (diff | hist) . . (+2,589)‎ . . N 1993 UNCO Math Contest II Problems ‎ (Created page with "UNIVERSITY OF NORTHERN COLORADO MATHEMATICS CONTEST FINAL ROUND February 13,1993. For Colorado Students Grades 7-12. ==Problem 1== How many times must one shoot at this target...")
• 00:40, 20 October 2014 (diff | hist) . . (+1,100)‎ . . N 1993 UNCO Math Contest II ‎ (Created page with "'''1993 UNCO Math Contest''' problems and solutions. The test was held on February 13, 1993. The first link contains the full s...") (current)
• 00:39, 20 October 2014 (diff | hist) . . (+32)‎ . . m University of Northern Colorado Math Contest ‎
• 00:23, 20 October 2014 (diff | hist) . . (+614)‎ . . N 2007 UNCO Math Contest II Problems/Problem 10 ‎ (Created page with "== Problem == A quaternary “number” is an arrangement of digits, each of which is <math>0, 1, 2, 3.</math> Some examples: <math>001, 3220, 022113.</math> (a) How many <math...")
• 00:21, 20 October 2014 (diff | hist) . . (+769)‎ . . N 2007 UNCO Math Contest II Problems/Problem 9 ‎ (Created page with "== Problem == A circle is inscribed in an equilateral triangle whose side length is <math>2</math>. Then another circle is inscribed externally tangent to the first circle but i...")
• 00:20, 20 October 2014 (diff | hist) . . (+756)‎ . . N 2007 UNCO Math Contest II Problems/Problem 8 ‎ (Created page with "== Problem == A regular decagon <math>P_1P_2P_3\cdots P_{10}</math> is drawn in the coordinate plane with <math>P_1</math> at <math>(2,0)</math> and <math>P_6</math> at <math>(8...")
• 00:20, 20 October 2014 (diff | hist) . . (+604)‎ . . N 2007 UNCO Math Contest II Problems/Problem 7 ‎ (Created page with "== Problem == (a) Express the infinite sum <math>S= 1+ \frac{1}{3}+\frac{1}{3^2}+ \frac{1}{3^3}+ \cdots</math> as a reduced fraction. (b) Express the infinite sum <math>T=\frac...")
• 00:19, 20 October 2014 (diff | hist) . . (+344)‎ . . N 2007 UNCO Math Contest II Problems/Problem 6 ‎ (Created page with "== Problem == (a) Demonstrate that every odd number <math>2n+1</math> can be expressed as a difference of two squares. (b) Demonstrate which even numbers can be expressed as a ...")
• 00:18, 20 October 2014 (diff | hist) . . (+2,297)‎ . . N 2007 UNCO Math Contest II Problems/Problem 5 ‎ (Created page with "== Problem == Ten different playing cards have the numbers <math>1, 1, 2, 2, 3, 3, 4, 4, 5, 5</math> written on them as shown. Three cards are selected at random without replac...")
• 00:17, 20 October 2014 (diff | hist) . . (+354)‎ . . N 2007 UNCO Math Contest II Problems/Problem 4 ‎ (Created page with "== Problem == If <math>x</math> is a primitive cube root of one (this means that <math>x^3 =1</math> but <math>x \ne 1</math>) compute the value of <cmath>x^{2006}+\frac{1}{x^{2...")
• 00:17, 20 October 2014 (diff | hist) . . (+521)‎ . . N 2007 UNCO Math Contest II Problems/Problem 3 ‎ (Created page with "== Problem == State the general rule illustrated here and prove it: <math> 1 ,\quad \begin{tabular}{cc} 1&1\\1&2\end{tabular} ,\quad \begin{tabular}{ccc} 1&1&1\\1&2&2\\1&2&3\e...")
• 00:16, 20 October 2014 (diff | hist) . . (+344)‎ . . N 2007 UNCO Math Contest II Problems/Problem 2 ‎ (Created page with "== Problem == In Grants Pass, Oregon <math>\frac{4}{5}</math> of the men are married to <math>\frac{3}{7}</math> of the women. What fraction of the adult population is married?...")
• 00:15, 20 October 2014 (diff | hist) . . (+295)‎ . . N 2007 UNCO Math Contest II Problems/Problem 1 ‎ (Created page with "== Problem == Express the following sum as a whole number: <math>1+ 2 - 3 + 4 + 5 - 6 + 7 + 8 - 9 +10 +11-12 +\cdots + 2005 + 2006 - 2007.</math> == Solution == == See Also ...")
• 00:14, 20 October 2014 (diff | hist) . . (+1,019)‎ . . 2007 UNCO Math Contest II Problems ‎ (→‎Problem 5)
• 23:49, 19 October 2014 (diff | hist) . . (+836)‎ . . 2007 UNCO Math Contest II Problems ‎ (→‎Problem 5)
• 23:06, 19 October 2014 (diff | hist) . . (+218)‎ . . 2007 UNCO Math Contest II Problems ‎ (→‎Problem 9)
• 22:53, 19 October 2014 (diff | hist) . . (+183)‎ . . m 2007 UNCO Math Contest II Problems ‎ (→‎Problem 8)
• 22:45, 19 October 2014 (diff | hist) . . (+2)‎ . . m 2007 UNCO Math Contest II Problems ‎ (→‎Problem 8)
• 22:43, 19 October 2014 (diff | hist) . . (+4,233)‎ . . N 2007 UNCO Math Contest II Problems ‎ (Created page with "UNIVERSITY OF NORTHERN COLORADO MATHEMATICS CONTEST FINAL ROUND February 3,2007. For Colorado Students Grades 7-12. • The sequence of Fibonacci numbers is <math>1, 1, 2, 3, 5...")
• 22:28, 19 October 2014 (diff | hist) . . (+1,118)‎ . . N 2007 UNCO Math Contest II ‎ (Created page with "'''2007 UNCO Math Contest''' problems and solutions. The test was held on February 3, 2007. The first link contains the full se...") (current)
• 22:07, 19 October 2014 (diff | hist) . . (+10)‎ . . m 2008 UNCO Math Contest II Problems ‎
• 22:00, 19 October 2014 (diff | hist) . . (-10)‎ . . m 2008 UNCO Math Contest II Problems ‎
• 22:00, 19 October 2014 (diff | hist) . . (+907)‎ . . N 2008 UNCO Math Contest II Problems/Problem 10 ‎ (Created page with "== Problem == Let <math>f(n,2)</math> be the number of ways of splitting <math>2n</math> people into <math>n</math> groups, each of size <math>2</math>. As an example, the <ma...")
• 21:59, 19 October 2014 (diff | hist) . . (+436)‎ . . N 2008 UNCO Math Contest II Problems/Problem 9 ‎ (Created page with "== Problem == Let <math>C_n = 1+10 +10^2 + \cdots + 10^{n-1}.</math> (a) Prove that <math> 9C_n = 10^n -1.</math> (b) Prove that <math>(3C_3+ 2)^2 =112225.</math> (c) Prove t...")
• 21:58, 19 October 2014 (diff | hist) . . (+751)‎ . . N 2008 UNCO Math Contest II Problems/Problem 8 ‎ (Created page with "== Problem == Triangle <math>ABC</math> has integer side lengths. One side is twice the length of a second side. <asy> draw((0,0)--(185/16,sqrt(225-(185/16)^2))--(40,0)--cycle...")
• 21:58, 19 October 2014 (diff | hist) . . (0)‎ . . m 2008 UNCO Math Contest II Problems/Problem 7 ‎ (→‎See Also)
• 21:58, 19 October 2014 (diff | hist) . . (+334)‎ . . N 2008 UNCO Math Contest II Problems/Problem 7 ‎ (Created page with "== Problem == Determine the value of <math>a</math> so that the following fraction reduces to a quotient of two linear expressions: <cmath>\frac{x^3+(a-10)x^2-x+(a-6)}{x^3+(a-6)...")
• 21:57, 19 October 2014 (diff | hist) . . (+1)‎ . . 2008 UNCO Math Contest II Problems/Problem 6 ‎ (→‎Problem)
• 21:56, 19 October 2014 (diff | hist) . . (+1,033)‎ . . N 2008 UNCO Math Contest II Problems/Problem 6 ‎ (Created page with "== Problem == Points <math>A</math> and <math>B</math> are on the same side of line <math>L</math> in the plane. <math>A</math> is <math>5</math> units away from <math>L, B</m...")
• 21:55, 19 October 2014 (diff | hist) . . (+214)‎ . . 2008 UNCO Math Contest II Problems/Problem 4 ‎
• 21:55, 19 October 2014 (diff | hist) . . (+536)‎ . . N 2008 UNCO Math Contest II Problems/Problem 5 ‎ (Created page with "== Problem == 5. The sum of <math>400, 3, 500, 800</math> and <math>305</math> is <math>2008</math> and the product of these five numbers is <math>146400000000 = 1464 \times 10...")
• 21:54, 19 October 2014 (diff | hist) . . (+536)‎ . . N 2008 UNCO Math Contest II Problems/Problem 4 ‎ (Created page with "== Problem == 5. The sum of <math>400, 3, 500, 800</math> and <math>305</math> is <math>2008</math> and the product of these five numbers is <math>146400000000 = 1464 \times 10...")
• 21:52, 19 October 2014 (diff | hist) . . (+577)‎ . . N 2008 UNCO Math Contest II Problems/Problem 1 ‎ (Created page with "== Problem == Determine the number of <math>3 \times 3</math> square arrays whose row and column sums are equal to <math>2</math>, using <math>0, 1, 2</math> as entries. Entries...")
• 21:51, 19 October 2014 (diff | hist) . . (+459)‎ . . N 2008 UNCO Math Contest II Problems/Problem 3 ‎ (Created page with "== Problem == A rectangle is inscribed in a square creating four isosceles right triangles. If the total area of these four triangles is <math>200</math>, what is the length of ...")
• 21:50, 19 October 2014 (diff | hist) . . (+466)‎ . . N 2008 UNCO Math Contest II Problems/Problem 2 ‎ (Created page with "== Problem == Let <math>S = \left \{a,b,c,d \right \}</math> be a set of four positive integers. If pairs of distinct elements of <math>S</math> are added, the following six sum...")
• 21:49, 19 October 2014 (diff | hist) . . (+577)‎ . . N 2008 UNC Math Contest II Problems/Problem 1 ‎ (Created page with "== Problem == Determine the number of <math>3 \times 3</math> square arrays whose row and column sums are equal to <math>2</math>, using <math>0, 1, 2</math> as entries. Entries...")

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