User contributions
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- 01:28, 27 September 2014 (diff | hist) . . (+1,118) . . N 1993 AHSME Problems/Problem 23 (Created page with "== Problem == <asy> draw(circle((0,0),10),black+linewidth(.75)); draw((-10,0)--(10,0),black+linewidth(.75)); draw((-10,0)--(9,sqrt(19)),black+linewidth(.75)); draw((-10,0)--(9,-s...")
- 00:53, 27 September 2014 (diff | hist) . . (+961) . . N 1993 AHSME Problems/Problem 22 (Created page with "== Problem == <asy> draw((-1,0)--(1,0)--(1,-1)--(-1,-1)--cycle,black+linewidth(.75)); MP("?",(0,0),S); </asy> Twenty cubical blocks are arranged as shown. First, 10 are arranged...")
- 00:42, 27 September 2014 (diff | hist) . . (+745) . . N 1993 AHSME Problems/Problem 20 (Created page with "== Problem == Consider the equation <math>10z^2-3iz-k=0</math>, where <math>z</math> is a complex variable and <math>i^2=-1</math>. Which of the following statements is true? <...")
- 00:34, 27 September 2014 (diff | hist) . . (+415) . . N 1993 AHSME Problems/Problem 19 (Created page with "== Problem == How many ordered pairs <math>(m,n)</math> of positive integers are solutions to <cmath>\frac{4}{m}+\frac{2}{n}=1?</cmath> <math>\text{(A) } 1\quad \text{(B) } 2\q...")
- 00:24, 27 September 2014 (diff | hist) . . (+517) . . N 1993 AHSME Problems/Problem 18 (Created page with "== Problem == Al and Barb start their new jobs on the same day. Al's schedule is 3 work-days followed by 1 rest-day. Barb's schedule is 7 work-days followed by 3 rest-days. On ho...")
- 00:13, 27 September 2014 (diff | hist) . . (+1,097) . . N 1993 AHSME Problems/Problem 17 (Created page with "== Problem == <asy> draw((-1,-1)--(1,-1)--(1,1)--(-1,1)--cycle, black+linewidth(.75)); draw((0,-1)--(0,1), black+linewidth(.75)); draw((-1,0)--(1,0), black+linewidth(.75)); draw(...")
- 00:01, 27 September 2014 (diff | hist) . . (+548) . . N 1993 AHSME Problems/Problem 16 (Created page with "== Problem == Consider the non-decreasing sequence of positive integers <cmath>1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,\cdots</cmath> in which the <math>n^{th}</math> positive integer appe...")
- 23:54, 26 September 2014 (diff | hist) . . (+409) . . N 1993 AHSME Problems/Problem 15 (Created page with "== Problem == For how many values of <math>n</math> will an <math>n</math>-sided regular polygon have interior angles with integral measures? <math>\text{(A) } 16\quad \text{(B...")
- 23:50, 26 September 2014 (diff | hist) . . (+839) . . N 1993 AHSME Problems/Problem 14 (Created page with "== Problem == <asy> draw((-1,0)--(1,0)--(1+sqrt(2),sqrt(2))--(0,sqrt(2)+sqrt(13-2*sqrt(2)))--(-1-sqrt(2),sqrt(2))--cycle,black+linewidth(.75)); MP("A",(-1,0),SW);MP("B",(1,0),SE)...")
- 23:34, 26 September 2014 (diff | hist) . . (+486) . . N 1993 AHSME Problems/Problem 13 (Created page with "== Problem == A square of perimeter 20 is inscribed in a square of perimeter 28. What is the greatest distance between a vertex of the inner square and a vertex of the outer squ...")
- 23:30, 26 September 2014 (diff | hist) . . (+422) . . N 1993 AHSME Problems/Problem 12 (Created page with "== Problem == If <math>f(2x)=\frac{2}{2+x}</math> for all <math>x>0</math>, then <math>2f(x)=</math> <math>\text{(A) } \frac{2}{1+x}\quad \text{(B) } \frac{2}{2+x}\quad \text{(...")
- 23:28, 26 September 2014 (diff | hist) . . (+382) . . N 1993 AHSME Problems/Problem 11 (Created page with "== Problem == If <math>log_2(log_2(log_2(x)))=2</math>, then how many digits are in the base-ten representation for x? <math>\text{(A) } 5\quad \text{(B) } 7\quad \text{(C) } 9...")
- 23:23, 26 September 2014 (diff | hist) . . (+1) . . m 1993 AHSME Problems/Problem 29
- 23:22, 26 September 2014 (diff | hist) . . (+2) . . m 1993 AHSME Problems/Problem 27
- 23:21, 26 September 2014 (diff | hist) . . (+451) . . N 1993 AHSME Problems/Problem 26 (Created page with "== Problem == Find the largest positive value attained by the function <cmath>f(x)=\sqrt{8x-x^2}-\sqrt{14x-x^2-48} ,\quad x \text{ a real number}</cmath> <math>\text{(A) } \sq...")
- 22:41, 26 September 2014 (diff | hist) . . (+24) . . 1993 AHSME Problems/Problem 27
- 22:10, 26 September 2014 (diff | hist) . . (+900) . . N 1993 AHSME Problems/Problem 27 (Created page with "== Problem == <asy> draw(circle((4,1),1),black+linewidth(.75)); draw((0,0)--(8,0)--(8,6)--cycle,black+linewidth(.75)); MP("A",(0,0),SW);MP("B",(8,0),SE);MP("C",(8,6),NE);MP("P",(...")
- 21:59, 26 September 2014 (diff | hist) . . (+556) . . N 1993 AHSME Problems/Problem 30 (Created page with "== Problem == Given <math>0\le x_0<1</math>, let <cmath> x_n=\left\{ \begin{tabular}{ll} 2x_{n-1} &\text{ if }2x_{n-1}<1 \\ 2x_{n-1}-1 &\text{ if }2x_{n-1}\ge 1 \end{tabular}} <...")
- 03:00, 26 September 2014 (diff | hist) . . (+538) . . N 1993 AHSME Problems/Problem 29 (Created page with "== Problem == Which of the following could NOT be the lengths of the external diagonals of a right regular prism [a "box"]? (An <math>\textit{external diagonal}</math> is a diag...")
- 02:02, 26 September 2014 (diff | hist) . . (+421) . . 1993 AHSME Problems/Problem 28
- 01:47, 26 September 2014 (diff | hist) . . (+294) . . 1993 AHSME Problems/Problem 21
- 01:36, 26 September 2014 (diff | hist) . . (+1) . . m 1993 AHSME Problems/Problem 10 (→See also)
- 01:36, 26 September 2014 (diff | hist) . . (+556) . . N 1993 AHSME Problems/Problem 10 (Created page with "== Problem == Let <math>r</math> be the number that results when both the base and the exponent of <math>a^b</math> are tripled, where <math>a,b>0</math>. If <math>r</math> equa...")
- 01:30, 26 September 2014 (diff | hist) . . (+829) . . N 1993 AHSME Problems/Problem 9 (Created page with "== Problem == Country <math>A</math> has <math>c\%</math> of the world's population and <math>d\%</math> of the worlds wealth. Country <math>B</math> has <math>e\%</math> of the...")
- 01:23, 26 September 2014 (diff | hist) . . (+1) . . m 1993 AHSME Problems/Problem 8
- 01:23, 26 September 2014 (diff | hist) . . (+499) . . N 1993 AHSME Problems/Problem 8 (Created page with "== Problem == Let <math>C_1</math> and <math>C_2</math> be circles of radius 1 that are in the same plane and tangent to each other. How many circles of radius 3 are in this pla...")
- 01:16, 26 September 2014 (diff | hist) . . (+675) . . N 1993 AHSME Problems/Problem 7 (Created page with "== Problem == The symbol <math>R_k</math> stands for an integer whose base-ten representation is a sequence of <math>k</math> ones. For example, <math>R_3=111,R_5=1111</math>, e...")
- 01:07, 26 September 2014 (diff | hist) . . (+359) . . N 1993 AHSME Problems/Problem 6 (Created page with "== Problem == <math>\sqrt{\frac{8^{10}+4^{10}}{8^4+4^{11}}}=</math> <math>\text{(A) } \sqrt{2}\quad \text{(B) } 16\quad \text{(C) } 32\quad \text{(D) } (12)^{\tfrac{2}{3}}\quad...")
- 01:03, 26 September 2014 (diff | hist) . . (+552) . . N 1993 AHSME Problems/Problem 5 (Created page with "== Problem == Last year a bicycle cost $160 and a cycling helmet $40. This year the cost of the bicycle increased by <math>5\%</math>, and the cost of the helmet incre...")
- 00:56, 26 September 2014 (diff | hist) . . (+6) . . 1993 AHSME Problems/Problem 1 (→Problem)
- 00:55, 26 September 2014 (diff | hist) . . (+5) . . 1993 AHSME Problems/Problem 2 (→Problem)
- 00:55, 26 September 2014 (diff | hist) . . (+5) . . 1993 AHSME Problems/Problem 3 (→Problem)
- 00:54, 26 September 2014 (diff | hist) . . (+487) . . N 1993 AHSME Problems/Problem 4 (Created page with "== Problem == Define the operation "<math>\circ</math>" by <math>x\circ y=4x-3y+xy</math>, for all real numbers <math>x</math> and <math>y</math>. For how many real numbers <math...")
- 00:51, 26 September 2014 (diff | hist) . . (+371) . . N 1993 AHSME Problems/Problem 3 (Created page with "== Problem == <math>\frac{15^{30}}{45^{15}} =</math> <math>\text{(A)} \left(\frac{1}{3}\right)^{15}\quad \text{(B)} \left(\frac{1}{3}\right)^{2}\quad \text{(C)} 1\quad \text{(D)...")
- 00:44, 26 September 2014 (diff | hist) . . (+818) . . N 1993 AHSME Problems/Problem 2 (Created page with "== Problem == <asy> draw((-5,0)--(5,0)--(2,14)--cycle,black+linewidth(.75)); draw((-2.25,5.5)--(4,14/3),black+linewidth(.75)); MP("A",(-5,0),S);MP("C",(5,0),S);MP("B",(2,14),N);M...")
- 00:26, 26 September 2014 (diff | hist) . . (+425) . . 1993 AHSME Problems/Problem 1
- 00:22, 26 September 2014 (diff | hist) . . (+69) . . 1993 AHSME
- 01:56, 24 September 2014 (diff | hist) . . (+2,027) . . N 1969 AHSME (Created page with "1969 AHSME''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. * [[1969 AHSME Problems...")
- 01:41, 24 September 2014 (diff | hist) . . (+537) . . 1968 AHSME Problems (→Problem 34)
- 01:37, 24 September 2014 (diff | hist) . . (+291) . . 1968 AHSME Problems (→Problem 33)
- 01:36, 24 September 2014 (diff | hist) . . (+561) . . 1968 AHSME Problems (→Problem 32)
- 01:32, 24 September 2014 (diff | hist) . . (+478) . . 1968 AHSME Problems (→Problem 30)
- 01:28, 24 September 2014 (diff | hist) . . (+260) . . 1968 AHSME Problems (→Problem 29)
- 01:26, 24 September 2014 (diff | hist) . . (+316) . . 1968 AHSME Problems (→Problem 28)
- 01:19, 24 September 2014 (diff | hist) . . (+236) . . 1968 AHSME Problems (→Problem 27)
- 01:16, 24 September 2014 (diff | hist) . . (+283) . . 1968 AHSME Problems (→Problem 26)
- 01:14, 24 September 2014 (diff | hist) . . (+423) . . 1968 AHSME Problems (→Problem 25)
- 01:10, 24 September 2014 (diff | hist) . . (+438) . . 1968 AHSME Problems (→Problem 24)
- 01:07, 24 September 2014 (diff | hist) . . (+381) . . 1968 AHSME Problems (→Problem 23)
- 01:02, 24 September 2014 (diff | hist) . . (+510) . . 1968 AHSME Problems (→Problem 22)
- 00:55, 24 September 2014 (diff | hist) . . (+189) . . 1968 AHSME Problems (→Problem 21)
- 00:53, 24 September 2014 (diff | hist) . . (+350) . . 1968 AHSME Problems (→Problem 20)
- 00:38, 24 September 2014 (diff | hist) . . (+286) . . 1968 AHSME Problems (→Problem 19)
- 00:35, 24 September 2014 (diff | hist) . . (+550) . . 1968 AHSME Problems (→Problem 18)
- 00:24, 24 September 2014 (diff | hist) . . (+366) . . 1968 AHSME Problems (→Problem 17)
- 00:18, 24 September 2014 (diff | hist) . . (+334) . . 1968 AHSME Problems (→Problem 16)
- 00:08, 24 September 2014 (diff | hist) . . (+245) . . 1968 AHSME Problems (→Problem 15)
- 00:04, 24 September 2014 (diff | hist) . . (+270) . . 1968 AHSME Problems (→Problem 14)
- 23:57, 23 September 2014 (diff | hist) . . (+270) . . 1968 AHSME Problems (→Problem 13)
- 23:53, 23 September 2014 (diff | hist) . . (+300) . . 1968 AHSME Problems (→Problem 12)
- 23:49, 23 September 2014 (diff | hist) . . (+364) . . 1968 AHSME Problems (→Problem 11)
- 23:43, 23 September 2014 (diff | hist) . . (+445) . . 1968 AHSME Problems (→Problem 10)
- 23:36, 23 September 2014 (diff | hist) . . (+248) . . 1968 AHSME Problems (→Problem 9)
- 23:31, 23 September 2014 (diff | hist) . . (+298) . . 1968 AHSME Problems (→Problem 8)
- 23:27, 23 September 2014 (diff | hist) . . (+325) . . 1968 AHSME Problems (→Problem 7)
- 23:21, 23 September 2014 (diff | hist) . . (+621) . . 1968 AHSME Problems (→Problem 6)
- 23:13, 23 September 2014 (diff | hist) . . (+271) . . 1968 AHSME Problems (→Problem 5)
- 23:10, 23 September 2014 (diff | hist) . . (+289) . . 1968 AHSME Problems (→Problem 4)
- 23:06, 23 September 2014 (diff | hist) . . (+276) . . 1968 AHSME Problems (→Problem 3)
- 23:02, 23 September 2014 (diff | hist) . . (+274) . . 1968 AHSME Problems (→Problem 2)
- 22:59, 23 September 2014 (diff | hist) . . (+302) . . 1968 AHSME Problems (→Problem 1)
- 22:53, 23 September 2014 (diff | hist) . . (+1,439) . . 1968 AHSME Problems (→Problem 35)
- 22:52, 23 September 2014 (diff | hist) . . (+1,611) . . N 1968 AHSME Problems/Problem 35 (Created page with "== Problem == <asy> draw(circle((0,0),10),black+linewidth(.75)); fill((-11,0)--(11,0)--(11,-11)--(-11,-11)--cycle,white); draw((-10,0)--(10,0),black+linewidth(.75)); draw((-sqrt(...")
- 22:24, 23 September 2014 (diff | hist) . . (+1,161) . . N 1968 AHSME Problems/Problem 31 (Created page with "== Problem == <asy> draw((0,0)--(10,20*sqrt(3)/2)--(20,0)--cycle,black+linewidth(.75)); draw((20,0)--(20,12)--(32,12)--(32,0)--cycle,black+linewidth(.75)); draw((32,0)--(37,10*sq...")
- 22:22, 23 September 2014 (diff | hist) . . (+991) . . 1968 AHSME Problems (→Problem 31)
- 22:03, 23 September 2014 (diff | hist) . . (+2,133) . . N 1968 AHSME Problems (Created page with "==Problem 1== Solution ==Problem 2== Solution ==Problem 3== Solution...")
- 21:55, 23 September 2014 (diff | hist) . . (+1,865) . . 1968 AHSME
- 21:50, 23 September 2014 (diff | hist) . . (+2) . . m 1966 AHSME Problems
- 21:45, 23 September 2014 (diff | hist) . . (+390) . . m 1966 AHSME Problems (→Problem 40)
- 21:43, 23 September 2014 (diff | hist) . . (+391) . . 1966 AHSME Problems/Problem 40 (→Problem) (current)
- 03:51, 23 September 2014 (diff | hist) . . (+508) . . 1966 AHSME Problems (→Problem 31)
- 03:50, 23 September 2014 (diff | hist) . . (+507) . . 1966 AHSME Problems/Problem 31 (→Problem)
- 03:04, 23 September 2014 (diff | hist) . . (+614) . . 1966 AHSME Problems (→Problem 21)
- 03:03, 23 September 2014 (diff | hist) . . (+614) . . 1966 AHSME Problems/Problem 21 (→Problem) (current)
- 02:08, 23 September 2014 (diff | hist) . . (0) . . m 1967 AHSME Problems/Problem 15 (→Solution)
- 02:05, 23 September 2014 (diff | hist) . . (-24) . . 1967 AHSME Problems (→Problem 30)
- 02:04, 23 September 2014 (diff | hist) . . (0) . . 1967 AHSME
- 02:03, 23 September 2014 (diff | hist) . . (+480) . . m 1967 AHSME
- 02:01, 23 September 2014 (diff | hist) . . (+514) . . N 1967 AHSME Problems/Problem 40 (Created page with "== Problem == Located inside equilateral triangle <math>ABC</math> is a point <math>P</math> such that <math>PA=8</math>, <math>PB=6</math>, and <math>PC=10</math>. To the neare...")
- 02:00, 23 September 2014 (diff | hist) . . (+739) . . N 1967 AHSME Problems/Problem 39 (Created page with "== Problem == Given the sets of consecutive integers <math>\{1\}</math>,<math> \{2, 3\}</math>,<math> \{4,5,6\}</math>,<math> \{7,8,9,10\}</math>,<math>\; \cdots \; </math>, wher...")
- 01:59, 23 September 2014 (diff | hist) . . (+1,055) . . N 1967 AHSME Problems/Problem 38 (Created page with "== Problem == Given a set <math>S</math> consisting of two undefined elements "pib" and "maa", and the four postulates: <math>P_1</math>: Every pib is a collection of maas, <math...")
- 01:57, 23 September 2014 (diff | hist) . . (+882) . . N 1967 AHSME Problems/Problem 37 (Created page with "== Problem == Segments <math>AD=10</math>, <math>BE=6</math>, <math>CF=24</math> are drawn from the vertices of triangle <math>ABC</math>, each perpendicular to a straight line <...")
- 01:55, 23 September 2014 (diff | hist) . . (+560) . . N 1967 AHSME Problems/Problem 36 (Created page with "== Problem == Given a geometric progression of five terms, each a positive integer less than <math>100</math>. The sum of the five terms is <math>211</math>. If <math>S</math> ...")
- 01:54, 23 September 2014 (diff | hist) . . (+457) . . N 1967 AHSME Problems/Problem 35 (Created page with "== Problem == The roots of <math>64x^3-144x^2+92x-15=0</math> are in arithmetic progression. The difference between the largest and smallest roots is: <math>\textbf{(A)}\ 2\qqu...")
- 01:53, 23 September 2014 (diff | hist) . . (+688) . . N 1967 AHSME Problems/Problem 34 (Created page with "== Problem == Points <math>D</math>, <math>E</math>, <math>F</math> are taken respectively on sides <math>AB</math>, <math>BC</math>, and <math>CA</math> of triangle <math>ABC</m...")
- 01:52, 23 September 2014 (diff | hist) . . (+969) . . N 1967 AHSME Problems/Problem 33 (Created page with "== Problem == <asy> fill(circle((4,0),4),grey); fill((0,0)--(8,0)--(8,-4)--(0,-4)--cycle,white); fill(circle((7,0),1),white); fill(circle((3,0),3),white); draw((0,0)--(8,0),blac...")
- 01:49, 23 September 2014 (diff | hist) . . (+625) . . N 1967 AHSME Problems/Problem 32 (Created page with "== Problem == In quadrilateral <math>ABCD</math> with diagonals <math>\overline{AC}</math> and <math>\overline{BD}</math> intersecting at <math>O</math>, <math>\overline{BO}=4</m...")
- 01:48, 23 September 2014 (diff | hist) . . (+592) . . N 1967 AHSME Problems/Problem 31 (Created page with "== Problem == Let <math>D=a^2+b^2+c^2</math>, where <math>a</math>, <math>b</math>, are consecutive integers and <math>c=ab</math>. Then <math>\sqrt{D}</math> is: <math>\textbf...")
- 01:47, 23 September 2014 (diff | hist) . . (+639) . . N 1967 AHSME Problems/Problem 30 (Created page with "== Problem == A dealer bought <math>n</math> radios for <math>d</math> dollars, <math>d</math> a positive integer. He contributed two radios to a community bazaar at half their ...")
- 01:43, 23 September 2014 (diff | hist) . . (+710) . . N 1967 AHSME Problems/Problem 29 (Created page with "== Problem == <math>\overline{AB}</math> is a diameter of a circle. Tangents <math>\overline{AD}</math> and <math>\overline{BC}</math> are drawn so that <math>\overline{AC}</mat...")
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