User contributions
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- 22:06, 28 June 2014 (diff | hist) . . (+2,178) . . 1994 AHSME Problems/Problem 11 (→Solution)
- 19:03, 28 June 2014 (diff | hist) . . (+308) . . 1994 AHSME Problems/Problem 10 (→Solution)
- 18:55, 28 June 2014 (diff | hist) . . (+508) . . 1994 AHSME Problems/Problem 9 (→Solution)
- 16:36, 28 June 2014 (diff | hist) . . (+1,052) . . 1994 AHSME Problems/Problem 8 (→Solution)
- 16:24, 28 June 2014 (diff | hist) . . (+1) . . m 1994 AHSME Problems/Problem 7 (→Solution)
- 16:23, 28 June 2014 (diff | hist) . . (+1) . . m 1994 AHSME Problems/Problem 7 (→Solution)
- 16:23, 28 June 2014 (diff | hist) . . (+853) . . 1994 AHSME Problems/Problem 7 (→Solution)
- 15:17, 28 June 2014 (diff | hist) . . (+300) . . 1994 AHSME Problems/Problem 6 (→Solution)
- 15:17, 28 June 2014 (diff | hist) . . (+8) . . 1994 AHSME Problems/Problem 5 (→Solution)
- 15:15, 28 June 2014 (diff | hist) . . (+623) . . 1994 AHSME Problems/Problem 5 (→Solution)
- 15:11, 28 June 2014 (diff | hist) . . (+429) . . 1994 AHSME Problems/Problem 4 (→Solution)
- 15:06, 28 June 2014 (diff | hist) . . (+881) . . 1994 AHSME Problems/Problem 3 (→Solution)
- 14:36, 28 June 2014 (diff | hist) . . (+117) . . 1994 AHSME Problems/Problem 2 (→Solution)
- 14:35, 28 June 2014 (diff | hist) . . (+835) . . 1994 AHSME Problems/Problem 2 (→Solution)
- 14:34, 28 June 2014 (diff | hist) . . (+318) . . 1994 AHSME Problems (→Problem 2)
- 13:58, 28 June 2014 (diff | hist) . . (+29) . . 1994 AHSME Answer Key
- 23:30, 27 June 2014 (diff | hist) . . (+112) . . N 1994 AHSME Answer Key (Created page with "1. C 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30.")
- 23:06, 27 June 2014 (diff | hist) . . (+31) . . 1994 AHSME Problems/Problem 1 (→Solution)
- 23:05, 27 June 2014 (diff | hist) . . (+10) . . m 1994 AHSME Problems/Problem 1 (LaTeX is FAT)
- 23:04, 27 June 2014 (diff | hist) . . (+287) . . 1994 AHSME Problems/Problem 1
- 23:01, 27 June 2014 (diff | hist) . . (+39) . . 1994 AHSME
- 22:09, 27 June 2014 (diff | hist) . . (+12,226) . . 1994 AHSME Problems
- 22:09, 27 June 2014 (diff | hist) . . (+394) . . N 1994 AHSME Problems/Problem 30 (Created page with "==Problem== When <math>n</math> standard 6-sided dice are rolled, the probability of obtaining a sum of 1994 is greater than zero and is the same as the probability of obtaining ...")
- 22:09, 27 June 2014 (diff | hist) . . (+679) . . N 1994 AHSME Problems/Problem 29 (Created page with "==Problem== Points <math>A, B</math> and <math>C</math> on a circle of radius <math>r</math> are situated so that <math>AB=AC, AB>r</math>, and the length of minor arc <math>BC</...")
- 22:09, 27 June 2014 (diff | hist) . . (+346) . . N 1994 AHSME Problems/Problem 28 (Created page with "==Problem== In the <math>xy</math>-plane, how many lines whose <math>x</math>-intercept is a positive prime number and whose <math>y</math>-intercept is a positive integer pass t...")
- 22:09, 27 June 2014 (diff | hist) . . (+573) . . 1994 AHSME Problems/Problem 27
- 22:09, 27 June 2014 (diff | hist) . . (+755) . . N 1994 AHSME Problems/Problem 26 (Created page with "==Problem== A regular polygon of <math>m</math> sides is exactly enclosed (no overlaps, no gaps) by <math>m</math> regular polygons of <math>n</math> sides each. (Shown here for ...")
- 22:08, 27 June 2014 (diff | hist) . . (+329) . . N 1994 AHSME Problems/Problem 25 (Created page with "==Problem== If <math>x</math> and <math>y</math> are non-zero real numbers such that <cmath> |x|+y=3 \qquad \text{and} \qquad |x|y+x^3=0, </cmath> then the integer nearest to <ma...")
- 22:08, 27 June 2014 (diff | hist) . . (+364) . . N 1994 AHSME Problems/Problem 24 (Created page with "==Problem== A sample consisting of five observations has an arithmetic mean of <math>10</math> and a median of <math>12</math>. The smallest value that the range (largest observa...")
- 22:08, 27 June 2014 (diff | hist) . . (+681) . . N 1994 AHSME Problems/Problem 23 (Created page with "==Problem== In the <math>xy</math>-plane, consider the L-shaped region bounded by horizontal and vertical segments with vertices at <math>(0,0), (0,3), (3,3), (3,1), (5,1)</math>...")
- 22:08, 27 June 2014 (diff | hist) . . (+460) . . N 1994 AHSME Problems/Problem 22 (Created page with "==Problem== Nine chairs in a row are to be occupied by six students and Professors Alpha, Beta and Gamma. These three professors arrive before the six students and decide to choo...")
- 22:08, 27 June 2014 (diff | hist) . . (+332) . . N 1994 AHSME Problems/Problem 21 (Created page with "==Problem== Find the number of counter examples to the statement: <cmath>``\text{If N is an odd positive integer the sum of whose digits is 4 and none of whose digits is 0, then...")
- 22:08, 27 June 2014 (diff | hist) . . (+360) . . N 1994 AHSME Problems/Problem 20 (Created page with "==Problem== Suppose <math>x,y,z</math> is a geometric sequence with common ratio <math>r</math> and <math>x \neq y</math>. If <math>x, 2y, 3z</math> is an arithmetic sequence, th...")
- 22:07, 27 June 2014 (diff | hist) . . (+536) . . N 1994 AHSME Problems/Problem 19 (Created page with "==Problem== Label one disk "<math>1</math>", two disks "<math>2</math>", three disks "<math>3</math>"<math>, ...,</math> fifty disks "<math>50</math>". Put these <math>1+2+3+ \cd...")
- 22:07, 27 June 2014 (diff | hist) . . (+582) . . N 1994 AHSME Problems/Problem 18 (Created page with "==Problem== Triangle <math>ABC</math> is inscribed in a circle, and <math>\angle B = \angle C = 4\angle A</math>. If <math>B</math> and <math>C</math> are adjacent vertices of a ...")
- 22:07, 27 June 2014 (diff | hist) . . (+349) . . N 1994 AHSME Problems/Problem 17 (Created page with "==Problem== An <math>8</math> by <math>2\sqrt{2}</math> rectangle has the same center as a circle of radius <math>2</math>. The area of the region common to both the rectangle an...")
- 22:07, 27 June 2014 (diff | hist) . . (+428) . . N 1994 AHSME Problems/Problem 16 (Created page with "==Problem== Some marbles in a bag are red and the rest are blue. If one red marble is removed, then one-seventh of the remaining marbles are red. If two blue marbles are removed ...")
- 22:07, 27 June 2014 (diff | hist) . . (+259) . . N 1994 AHSME Problems/Problem 15 (Created page with "==Problem== For how many <math>n</math> in <math>\{1, 2, 3, ..., 100 \}</math> is the tens digit of <math>n^2</math> odd? <math> \textbf{(A)}\ 10 \qquad\textbf{(B)}\ 20 \qquad\t...")
- 22:06, 27 June 2014 (diff | hist) . . (+254) . . N 1994 AHSME Problems/Problem 14 (Created page with "==Problem== Find the sum of the arithmetic series <cmath> 20+20\frac{1}{5}+20\frac{2}{5}+\cdots+40 </cmath> <math> \textbf{(A)}\ 3000 \qquad\textbf{(B)}\ 3030 \qquad\textbf{(C)}\...")
- 22:06, 27 June 2014 (diff | hist) . . (+605) . . N 1994 AHSME Problems/Problem 13 (Created page with "==Problem== In triangle <math>ABC</math>, <math>AB=AC</math>. If there is a point <math>P</math> strictly between <math>A</math> and <math>B</math> such that <math>AP=PC=CB</math...")
- 22:06, 27 June 2014 (diff | hist) . . (+226) . . N 1994 AHSME Problems/Problem 12 (Created page with "==Problem== If <math>i^2=-1</math>, then <math>(i-i^{-1})^{-1}=</math> <math> \textbf{(A)}\ 0 \qquad\textbf{(B)}\ -2i \qquad\textbf{(C)}\ 2i \qquad\textbf{(D)}\ -\frac{i}{2} \qq...")
- 22:06, 27 June 2014 (diff | hist) . . (+313) . . N 1994 AHSME Problems/Problem 11 (Created page with "==Problem== Three cubes of volume <math>1, 8</math> and <math>27</math> are glued together at their faces. The smallest possible surface area of the resulting configuration is <...")
- 21:26, 27 June 2014 (diff | hist) . . (+437) . . N 1994 AHSME Problems/Problem 10 (Created page with "==Problem== For distinct real numbers <math>x</math> and <math>y</math>, let <math>M(x,y)</math> be the larger of <math>x</math> and <math>y</math> and let <math>m(x,y)</math> be...")
- 21:26, 27 June 2014 (diff | hist) . . (+380) . . N 1994 AHSME Problems/Problem 9 (Created page with "==Problem== If <math>\angle A</math> is four times <math>\angle B</math>, and the complement of <math>\angle B</math> is four times the complement of <math>\angle A</math>, then ...")
- 21:25, 27 June 2014 (diff | hist) . . (+592) . . N 1994 AHSME Problems/Problem 8 (Created page with "==Problem== In the polygon shown, each side is perpendicular to its adjacent sides, and all 28 of the sides are congruent. The perimeter of the polygon is <math>56</math>. The ar...")
- 21:25, 27 June 2014 (diff | hist) . . (+757) . . N 1994 AHSME Problems/Problem 7 (Created page with "==Problem== Squares <math>ABCD</math> and <math>EFGH</math> are congruent, <math>AB=10</math>, and <math>G</math> is the center of square <math>ABCD</math>. The area of the regio...")
- 21:25, 27 June 2014 (diff | hist) . . (+292) . . N 1994 AHSME Problems/Problem 6 (Created page with "==Problem== In the sequence <cmath> ..., a, b, c, d, 0, 1, 1, 2, 3, 5, 8,... </cmath> each term is the sum of the two terms to its left. Find <math>a</math>. <math> \textbf{(A)}...")
- 21:24, 27 June 2014 (diff | hist) . . (+557) . . N 1994 AHSME Problems/Problem 5 (Created page with "==Problem== Pat intended to multiply a number by <math>6</math> but instead divided by <math>6</math>. Pat then meant to add <math>14</math> but instead subtracted <math>14</math...")
- 21:24, 27 June 2014 (diff | hist) . . (+354) . . N 1994 AHSME Problems/Problem 4 (Created page with "==Problem== In the <math>xy</math>-plane, the segment with endpoints <math>(-5,0)</math> and <math>(25,0)</math> is the diameter of a circle. If the point <math>(x,15)</math> is ...")
- 21:23, 27 June 2014 (diff | hist) . . (+347) . . N 1994 AHSME Problems/Problem 3 (Created page with "==Problem== How many of the following are equal to <math>x^x+x^x</math> for all <math>x>0</math>? <math>\textbf{I:}\ 2x^x \qquad\textbf{II:}\ x^{2x} \qquad\textbf{III:}\ (2x)^x ...")
- 21:22, 27 June 2014 (diff | hist) . . (+529) . . N 1994 AHSME Problems/Problem 2 (Created page with "==Problem== A large rectangle is partitioned into four rectangles by two segments parallel to its sides. The areas of three of the resulting rectangles are shown. What is the are...")
- 21:22, 27 June 2014 (diff | hist) . . (+225) . . N 1994 AHSME Problems/Problem 1 (Created page with "==Problem== <math>4^4 \cdot 9^4 \cdot 4^9 \cdot 9^9=</math> <math> \textbf{(A)}\ 13^{13} \qquad\textbf{(B)}\ 13^{36} \qquad\textbf{(C)}\ 36^{13} \qquad\textbf{(D)}\ 36^{36} \qqu...")
- 20:15, 27 June 2014 (diff | hist) . . (+2,016) . . 1994 AHSME Problems
- 20:08, 30 April 2014 (diff | hist) . . (+281) . . 2013 USAMO Problems (Wrong Text Sorry) (current)
- 20:07, 30 April 2014 (diff | hist) . . (+2,930) . . N 2013 USAMO Problems (Created page with "==Day 1== ===Problem 1=== Are there integers <math>a</math> and <math>b</math> such that <math>a^5b+3</math> and <math>ab^5+3</math> are both perfect cubes of integers? [[2013 ...")
- 20:06, 30 April 2014 (diff | hist) . . (-2,735) . . 2013 USAMO
- 20:05, 30 April 2014 (diff | hist) . . (+76) . . 2013 USAJMO (current)
- 20:05, 30 April 2014 (diff | hist) . . (+2,706) . . 2013 USAMO Problems/Problem 4 (Merge)
- 20:03, 30 April 2014 (diff | hist) . . (0) . . 2013 USAJMO
- 20:02, 30 April 2014 (diff | hist) . . (-26) . . 2013 USAJMO Problems/Problem 6 (→Solution) (current)
- 20:00, 30 April 2014 (diff | hist) . . (+2,843) . . 2013 USAJMO Problems
- 20:00, 30 April 2014 (diff | hist) . . (-2,462) . . 2013 USAJMO
- 17:58, 30 April 2014 (diff | hist) . . (-1) . . 2014 USAJMO Problems (→Problem 3)
- 17:57, 30 April 2014 (diff | hist) . . (-1) . . 2014 USAJMO Problems (→Problem 5)
- 17:57, 30 April 2014 (diff | hist) . . (+30) . . 2014 USAJMO (current)
- 17:46, 30 April 2014 (diff | hist) . . (+499) . . N 2014 USAMO Problems/Problem 5 (Created page with "==Problem== Let <math>ABC</math> be a triangle with orthocenter <math>H</math> and let <math>P</math> be the second intersection of the circumcircle of triangle <math>AHC</math> ...")
- 17:46, 30 April 2014 (diff | hist) . . (+476) . . 2014 USAMO Problems (→Problem 5)
- 17:45, 30 April 2014 (diff | hist) . . (+294) . . Nm 2014 USAMO Problems/Problem 6 (Created page with "==Problem== Prove that there is a constant <math>c>0</math> with the following property: If <math>a, b, n</math> are positive integers such that <math>\gcd(a+i, b+j)>1</math> for...")
- 17:45, 30 April 2014 (diff | hist) . . (+270) . . 2014 USAMO Problems (→Problem 6)
- 17:44, 30 April 2014 (diff | hist) . . (+761) . . N 2014 USAMO Problems/Problem 4 (Created page with "==Problem== Let <math>k</math> be a positive integer. Two players <math>A</math> and <math>B</math> play a game on an infinite grid of regular hexagons. Initially all the grid ce...")
- 17:44, 30 April 2014 (diff | hist) . . (+737) . . 2014 USAMO Problems (→Day 2)
- 17:43, 30 April 2014 (diff | hist) . . (+792) . . N 2014 USAJMO Problems/Problem 6 (Created page with "==Problem== Let <math>ABC</math> be a triangle with incenter <math>I</math>, incircle <math>\gamma</math> and circumcircle <math>\Gamma</math>. Let <math>M,N,P</math> be the mid...")
- 17:43, 30 April 2014 (diff | hist) . . (+768) . . 2014 USAJMO Problems (→Problem 6)
- 17:43, 30 April 2014 (diff | hist) . . (+761) . . N 2014 USAJMO Problems/Problem 5 (Created page with "==Problem== Let <math>k</math> be a positive integer. Two players <math>A</math> and <math>B</math> play a game on an infinite grid of regular hexagons. Initially all the grid ce...")
- 17:42, 30 April 2014 (diff | hist) . . (+343) . . N 2014 USAJMO Problems/Problem 4 (Created page with "==Problem== Let <math>b\geq 2</math> be an integer, and let <math>s_b(n)</math> denote the sum of the digits of <math>n</math> when it is written in base <math>b</math>. Show th...")
- 17:42, 30 April 2014 (diff | hist) . . (+321) . . 2014 USAJMO Problems (→Problem 4)
- 17:42, 30 April 2014 (diff | hist) . . (+738) . . 2014 USAJMO Problems (→Problem 5)
- 18:46, 29 April 2014 (diff | hist) . . (+96) . . 2014 USAJMO
- 18:43, 29 April 2014 (diff | hist) . . (+412) . . 2014 USAMO Problems (→Problem 3)
- 18:42, 29 April 2014 (diff | hist) . . (+435) . . N 2014 USAMO Problems/Problem 3 (Created page with "==Problem== Prove that there exists an infinite set of points <cmath>\ldots,\,\,\,\,P_{-3},\,\,\,\,P_{-2},\,\,\,\,P_{-1},\,\,\,\,P_0,\,\,\,\,P_1,\,\,\,\,P_2,\,\,\,\,P_3,\,\,\,\,\...")
- 18:38, 29 April 2014 (diff | hist) . . (+300) . . 2014 USAMO Problems (→Day 1)
- 18:38, 29 April 2014 (diff | hist) . . (+323) . . N 2014 USAMO Problems/Problem 1 (Created page with "==Problem== Let <math>a,b,c,d</math> be real numbers such that <math>b-d \ge 5</math> and all zeros <math>x_1, x_2, x_3,</math> and <math>x_4</math> of the polynomial <math>P(x)=...")
- 18:37, 29 April 2014 (diff | hist) . . (+17) . . 2014 USAJMO Problems/Problem 1 (→Solution)
- 18:35, 29 April 2014 (diff | hist) . . (-20) . . 2014 USAJMO Problems/Problem 1
- 18:13, 29 April 2014 (diff | hist) . . (+667) . . 2014 USAJMO Problems (→Problem 2)
- 18:12, 29 April 2014 (diff | hist) . . (+689) . . N 2014 USAJMO Problems/Problem 2 (Created page with "==Problem== Let <math>\triangle{ABC}</math> be a non-equilateral, acute triangle with <math>\angle A=60\textdegrees</math>, and let <math>O</math> and <math>H</math> denote the c...")
- 18:12, 29 April 2014 (diff | hist) . . (+292) . . N 2014 USAMO Problems/Problem 2 (Created page with "==Problem== Let <math>\mathbb{Z}</math> be the set of integers. Find all functions <math>f : \mathbb{Z} \rightarrow \mathbb{Z}</math> such that <cmath>xf(2f(y)-x)+y^2f(2x-f(y))=\...")
- 18:12, 29 April 2014 (diff | hist) . . (+270) . . 2014 USAMO Problems (→Problem 2)
- 18:11, 29 April 2014 (diff | hist) . . (+1) . . 2014 USAJMO Problems (→Problem 3)
- 18:11, 29 April 2014 (diff | hist) . . (+268) . . 2014 USAJMO Problems (→Problem 3)
- 18:11, 29 April 2014 (diff | hist) . . (+293) . . N 2014 USAJMO Problems/Problem 3 (Created page with "==Problem== Let <math>\mathbb{Z}</math> be the set of integers. Find all functions <math>f : \mathbb{Z} \rightarrow \mathbb{Z}</math> such that <cmath>xf(2f(y)-x)+y^2f(2x-f(y))=\...")
- 18:10, 29 April 2014 (diff | hist) . . (+274) . . N 2014 USAJMO Problems/Problem 1 (Created page with "==Problem== Let <math>a</math>, <math>b</math>, <math>c</math> be real numbers greater than or equal to <math>1</math>. Prove that <cmath>\min{\left (\frac{10a^2-5a+1}{b^2-5b+1},...")
- 18:09, 29 April 2014 (diff | hist) . . (+251) . . 2014 USAJMO Problems (→Problem 1)
- 16:22, 29 April 2014 (diff | hist) . . (+253) . . 2014 USAMO Problems
- 16:21, 29 April 2014 (diff | hist) . . (+122) . . N 2014 USAMO Problems (Created page with "==Day 1== ===Problem 1=== ===Problem 2=== ===Problem 3=== ==Day 2== ===Problem 4=== ===Problem 5=== ===Problem 6===")
- 16:20, 29 April 2014 (diff | hist) . . (+620) . . N 2014 USAMO (Created page with "The '''Fourty-third USAMO''' was held April 29th and April 30th, 2014. The first link contains the full set of test problems. The rest contain each individual problem and its...")
- 16:19, 29 April 2014 (diff | hist) . . (+15) . . USAMO Problems and Solutions
- 16:19, 29 April 2014 (diff | hist) . . (+76) . . 2014 USAJMO
- 16:18, 29 April 2014 (diff | hist) . . (-60) . . 2014 USAJMO
- 16:17, 29 April 2014 (diff | hist) . . (+382) . . N 2014 USAJMO Problems (Created page with "==Day 1== ===Problem 1=== Solution ===Problem 2=== Solution ===Problem 3=== [[2014 USAJMO Problems/Problem ...")
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