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• 02:50, 23 September 2014 (diff | hist) . . (+507)‎ . . 1966 AHSME Problems/Problem 31 ‎ (→‎Problem)
• 02:04, 23 September 2014 (diff | hist) . . (+614)‎ . . 1966 AHSME Problems ‎ (→‎Problem 21)
• 02:03, 23 September 2014 (diff | hist) . . (+614)‎ . . 1966 AHSME Problems/Problem 21 ‎ (→‎Problem) (current)
• 01:08, 23 September 2014 (diff | hist) . . (0)‎ . . m 1967 AHSME Problems/Problem 15 ‎ (→‎Solution)
• 01:05, 23 September 2014 (diff | hist) . . (-24)‎ . . 1967 AHSME Problems ‎ (→‎Problem 30)
• 01:04, 23 September 2014 (diff | hist) . . (0)‎ . . 1967 AHSME ‎
• 01:03, 23 September 2014 (diff | hist) . . (+480)‎ . . m 1967 AHSME ‎
• 01:01, 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...")
• 01:00, 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...")
• 00:59, 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...")
• 00:57, 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 <...")
• 00:55, 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> ...")
• 00:54, 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...")
• 00:53, 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...")
• 00:52, 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...")
• 00:49, 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...")
• 00:48, 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...")
• 00:47, 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 ...")
• 00:43, 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...")
• 00:42, 23 September 2014 (diff | hist) . . (+719)‎ . . N 1967 AHSME Problems/Problem 28 ‎ (Created page with "== Problem == Given the two hypotheses: <math>\text{I}</math> Some Mems are not Ens and <math>\text{II}</math> No Ens are Veens. If "some" means "at least one", we can conclude ...")
• 00:40, 23 September 2014 (diff | hist) . . (+587)‎ . . N 1967 AHSME Problems/Problem 27 ‎ (Created page with "== Problem == Two candles of the same length are made of different materials so that one burns out completely at a uniform rate in <math>3</math> hours and the other in <math>4</...")
• 00:37, 23 September 2014 (diff | hist) . . (+789)‎ . . N 1967 AHSME Problems/Problem 26 ‎ (Created page with "== Problem == If one uses only the tabular information <math>10^3=1000</math>, <math>10^4=10,000</math>, <math>2^{10}=1024</math>, <math>2^{11}=2048</math>, <math>2^{12}=4096</ma...")
• 00:35, 23 September 2014 (diff | hist) . . (+617)‎ . . N 1967 AHSME Problems/Problem 25 ‎ (Created page with "== Problem == For every odd number <math>p>1</math> we have: <math>\textbf{(A)}\ (p-1)^{\frac{1}{2}(p-1)}-1 \; \text{is divisible by} \; p-2\qquad \textbf{(B)}\ (p-1)^{\frac{1}{...")
• 00:34, 23 September 2014 (diff | hist) . . (+409)‎ . . N 1967 AHSME Problems/Problem 24 ‎ (Created page with "== Problem == The number of solution-pairs in the positive integers of the equation <math>3x+5y=501</math> is: <math>\textbf{(A)}\ 33\qquad \textbf{(B)}\ 34\qquad \textbf{(C)}\ ...")
• 00:32, 23 September 2014 (diff | hist) . . (+438)‎ . . N 1967 AHSME Problems/Problem 23 ‎ (Created page with "== Problem == If <math>x</math> is real and positive and grows beyond all bounds, then <math>\log_3{(6x-5)}-\log_3{(2x+1)}</math> approaches: <math>\textbf{(A)}\ 0\qquad \textbf...")
• 00:30, 23 September 2014 (diff | hist) . . (+643)‎ . . N 1967 AHSME Problems/Problem 22 ‎ (Created page with "== Problem == For natural numbers, when <math>P</math> is divided by <math>D</math>, the quotient is <math>Q</math> and the remainder is <math>R</math>. When <math>Q</math> is d...")
• 00:28, 23 September 2014 (diff | hist) . . (+854)‎ . . N 1967 AHSME Problems/Problem 21 ‎ (Created page with "== Problem == In right triangle <math>ABC</math> the hypotenuse <math>\overline{AB}=5</math> and leg <math>\overline{AC}=3</math>. The bisector of angle <math>A</math> meets the...")
• 00:26, 23 September 2014 (diff | hist) . . (+705)‎ . . N 1967 AHSME Problems/Problem 20 ‎ (Created page with "== Problem == A circle is inscribed in a square of side <math>m</math>, then a square is inscribed in that circle, then a circle is inscribed in the latter square, and so on. I...")
• 00:24, 23 September 2014 (diff | hist) . . (+592)‎ . . N 1967 AHSME Problems/Problem 19 ‎ (Created page with "== Problem == The area of a rectangle remains unchanged when it is made <math>2 \frac{1}{2}</math> inches longer and <math>\frac{2}{3}</math> inch narrower, or when it is made <m...")
• 00:23, 23 September 2014 (diff | hist) . . (+397)‎ . . N 1967 AHSME Problems/Problem 18 ‎ (Created page with "== Problem == If <math>x^2-5x+6<0</math> and <math>P=x^2+5x+6</math> then <math>\textbf{(A)}\ P \; \text{can take any real value} \qquad \textbf{(B)}\ 20<P<30\\ \textbf{(C)}\ 0<...")
• 00:22, 23 September 2014 (diff | hist) . . (+553)‎ . . N 1967 AHSME Problems/Problem 16 ‎ (Created page with "== Problem == Let the product <math>(12)(15)(16)</math>, each factor written in base <math>b</math>, equals <math>3146</math> in base <math>b</math>. Let <math>s=12+15+16</math>...")
• 00:21, 23 September 2014 (diff | hist) . . (+533)‎ . . N 1967 AHSME Problems/Problem 17 ‎ (Created page with "== Problem == If <math>r_1</math> and <math>r_2</math> are the distinct real roots of <math>x^2+px+8=0</math>, then it must follow that: <math>\textbf{(A)}\ |r_1+r_2|>4\sqrt{2}\...")
• 00:19, 23 September 2014 (diff | hist) . . (+638)‎ . . N 1967 AHSME Problems/Problem 15 ‎ (Created page with "== Problem == The difference in the areas of two similar triangles is <math>18</math> square feet, and the ratio of the larger area to the smaller is the square of an integer. T...")
• 00:18, 23 September 2014 (diff | hist) . . (+385)‎ . . N 1967 AHSME Problems/Problem 14 ‎ (Created page with "== Problem == The number of distinct points common to the curves <math>x^2+4y^2=1</math> and <math>4x^2+y^2=4</math> is: <math>\text{(A) } 0 \quad \text{(B) } 1 \quad \text{(C) ...")
• 00:16, 23 September 2014 (diff | hist) . . (+654)‎ . . N 1967 AHSME Problems/Problem 13 ‎ (Created page with "== Problem == A triangle <math>ABC</math> is to be constructed given a side <math>a</math> (opposite angle <math>A</math>). angle <math>B</math>, and <math>h_c</math>, the altitu...")
• 00:15, 23 September 2014 (diff | hist) . . (+508)‎ . . N 1967 AHSME Problems/Problem 12 ‎ (Created page with "== Problem == If the (convex) area bounded by the x-axis and the lines <math>y=mx+4</math>, <math>x=1</math>, and <math>x=4</math> is <math>7</math>, then <math>m</math> equals: ...")
• 00:13, 23 September 2014 (diff | hist) . . (+472)‎ . . N 1967 AHSME Problems/Problem 11 ‎ (Created page with "== Problem == If the perimeter of rectangle <math>ABCD</math> is <math>20</math> inches, the least value of diagonal <math>\overline{AC}</math>, in inches, is: <math>\textbf{(A)...")
• 00:12, 23 September 2014 (diff | hist) . . (+514)‎ . . N 1967 AHSME Problems/Problem 10 ‎ (Created page with "== Problem == If <math>\frac{a}{10^x-1}+\frac{b}{10^x+2}=\frac{2 \cdot 10^x+3}{(10^x-1)(10^x+2)}</math> is an identity for positive rational values of <math>x</math>, then the va...")
• 00:10, 23 September 2014 (diff | hist) . . (+789)‎ . . N 1967 AHSME Problems/Problem 9 ‎ (Created page with "== Problem == Let <math>K</math>, in square units, be the area of a trapezoid such that the shorter base, the altitude, and the longer base, in that order, are in arithmetic prog...")
• 00:08, 23 September 2014 (diff | hist) . . (+584)‎ . . N 1967 AHSME Problems/Problem 8 ‎ (Created page with "== Problem == To <math>m</math> ounces of a <math>m\%</math> solution of acid, <math>x</math> ounces of water are added to yield a <math>(m-10)\%</math> solution. If <math>m>25<...")
• 00:06, 23 September 2014 (diff | hist) . . (+352)‎ . . N 1967 AHSME Problems/Problem 6 ‎ (Created page with "== Problem == If <math>f(x)=4^x</math> then <math>f(x+1)-f(x)</math> equals: <math> \text{(A)}\ 4\qquad\text{(B)}\ f(x)\qquad\text{(C)}\ 2f(x)\qquad\text{(D)}\ 3f(x)\qquad\text{...")
• 00:04, 23 September 2014 (diff | hist) . . (+635)‎ . . N 1967 AHSME Problems/Problem 7 ‎ (Created page with "== Problem == If <math>\frac{a}{b}<-\frac{c}{d}</math> where <math>a</math>, <math>b</math>, <math>c</math>, and <math>d</math> are real numbers and <math>bd \not= 0</math>, then...")
• 00:03, 23 September 2014 (diff | hist) . . (0)‎ . . m 1967 AHSME Problems/Problem 4 ‎ (→‎See also)
• 00:03, 23 September 2014 (diff | hist) . . (+581)‎ . . N 1967 AHSME Problems/Problem 5 ‎ (Created page with "== Problem == A triangle is circumscribed about a circle of radius <math>r</math> inches. If the perimeter of the triangle is <math>P</math> inches and the area is <math>K</math...")
• 00:00, 23 September 2014 (diff | hist) . . (+518)‎ . . N 1967 AHSME Problems/Problem 4 ‎ (Created page with "== Problem == Given <math>\frac{\log{a}}{p}=\frac{\log{b}}{q}=\frac{\log{c}}{r}=\log{x}</math>, all logarithms to the same base and <math>x \not= 1</math>. If <math>\frac{b^2}{a...")
• 23:58, 22 September 2014 (diff | hist) . . (+515)‎ . . N 1967 AHSME Problems/Problem 3 ‎ (Created page with "== Problem == The side of an equilateral triangle is <math>s</math>. A circle is inscribed in the triangle and a square is inscribed in the circle. The area of the square is: ...")
• 01:47, 15 September 2014 (diff | hist) . . (+7,655)‎ . . 1966 AHSME Problems ‎
• 01:41, 15 September 2014 (diff | hist) . . (+155)‎ . . 1966 AHSME Problems/Problem 2 ‎
• 01:38, 15 September 2014 (diff | hist) . . (+611)‎ . . 1966 AHSME Problems/Problem 6 ‎
• 01:36, 15 September 2014 (diff | hist) . . (+21)‎ . . 1966 AHSME Problems/Problem 40 ‎ (→‎Solution)

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