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• 21:33, 1 October 2014 (diff | hist) . . (+547)‎ . . N 1970 AHSME Problems/Problem 15 ‎ (Created page with "== Problem == Lines in the <math>xy</math>-plane are drawn through the point <math>(3,4)</math> and the trisection points of the line segment joining the points <math>(-4,5)</ma...")
• 21:28, 1 October 2014 (diff | hist) . . (0)‎ . . m 1970 AHSME Problems/Problem 14 ‎ (→‎See also)
• 21:28, 1 October 2014 (diff | hist) . . (+1)‎ . . m 1970 AHSME Problems/Problem 14 ‎ (→‎See also)
• 21:27, 1 October 2014 (diff | hist) . . (+477)‎ . . N 1970 AHSME Problems/Problem 14 ‎ (Created page with "== Problem == Consider <math>x^2+px+q=0</math>, where <math>p</math> and <math>q</math> are positive numbers. If the roots of this equation differ by 1, then <math>p</math> equa...")
• 21:20, 1 October 2014 (diff | hist) . . (+606)‎ . . N 1970 AHSME Problems/Problem 13 ‎ (Created page with "== Problem == Given the binary operation <math>\star</math> defined by <math>a\star b=a^b</math> for all positive numbers <math>a</math> and <math>b</math>. Then for all positiv...")
• 21:15, 1 October 2014 (diff | hist) . . (+539)‎ . . N 1970 AHSME Problems/Problem 12 ‎ (Created page with "== Problem == A circle with radius <math>r</math> is tangent to sides <math>AB,AD</math> and <math>CD</math> of rectangle <math>ABCD</math> and passes through the midpoint of di...")
• 21:10, 1 October 2014 (diff | hist) . . (+13)‎ . . 1970 AHSME Problems/Problem 11 ‎ (→‎Problem)
• 21:10, 1 October 2014 (diff | hist) . . (+384)‎ . . N 1970 AHSME Problems/Problem 11 ‎ (Created page with "== Problem == If two factors of <math>2x^3-hx+k</math> are <math>x+2</math> and <math>x-1</math>, the value of <math>|2h-3k| is </math>\text{(A) } 4\quad \text{(B) } 3\quad \tex...")
• 18:35, 1 October 2014 (diff | hist) . . (+11)‎ . . m 1970 AHSME Problems/Problem 10 ‎ (→‎Problem)
• 18:35, 1 October 2014 (diff | hist) . . (+499)‎ . . N 1970 AHSME Problems/Problem 10 ‎ (Created page with "== Problem == Let <math>F=.48181\cdots</math> be an infinite repeating decimal with the digits <math>8</math> and *1* repeating. When <math>F</math> is written as a fraction in ...")
• 18:30, 1 October 2014 (diff | hist) . . (-1)‎ . . m 1970 AHSME Problems/Problem 9 ‎ (→‎See also)
• 18:30, 1 October 2014 (diff | hist) . . (+651)‎ . . N 1970 AHSME Problems/Problem 9 ‎ (Created page with "== Problem == Points <math>P</math> and <math>Q</math> are on line segment <math>AB</math>, and both points are on the same side of the midpoint of <math>AB</math>. Point <math>...")
• 18:23, 1 October 2014 (diff | hist) . . (+358)‎ . . N 1970 AHSME Problems/Problem 8 ‎ (Created page with "== Problem == If <math>a=log_8(225)</math> and <math>b=log_2(15)</math>, then <math>\text{(A) } a=b/2\quad \text{(B) } a=2b/3\quad \text{(C) } a=b\quad \text{(D) } b=a/2\quad \...")
• 18:19, 1 October 2014 (diff | hist) . . (+686)‎ . . N 1970 AHSME Problems/Problem 7 ‎ (Created page with "== Problem == Inside square <math>ABCD</math> with side <math>s</math>, quarter-circle arcs with radii <math>s</math> and centers at <math>A</math> and <math>B</math> are drawn....")
• 18:15, 1 October 2014 (diff | hist) . . (+1)‎ . . m 1970 AHSME Problems/Problem 6 ‎ (→‎Problem)
• 18:15, 1 October 2014 (diff | hist) . . (+374)‎ . . N 1970 AHSME Problems/Problem 6 ‎ (Created page with "== Problem == The smallest value of <math>x^2+8x</math> for real values of <math>x</math> is <math>\text{(A) } -16.25\quad \text{(B) } -16\quad \text{(C) } -15\quad \text{(D) }...")
• 18:13, 1 October 2014 (diff | hist) . . (0)‎ . . m 1970 AHSME Problems/Problem 5 ‎ (→‎Problem)
• 18:13, 1 October 2014 (diff | hist) . . (+390)‎ . . N 1970 AHSME Problems/Problem 5 ‎ (Created page with "== Problem == If <math>f(x)=\frac{x^4+x^2}{x+1}</math>, then <math>f(I)</math>, where <math>I=\sqrt{-1}</math>, is equal to <math>\text{(A) } 1+i\quad \text{(B) } 1\quad \text{...")
• 18:10, 1 October 2014 (diff | hist) . . (+621)‎ . . N 1970 AHSME Problems/Problem 4 ‎ (Created page with "== Problem == Let <math>S</math> be the set of all numbers which are the sum of the squares of three consecutive integers. Then we can say that <math>\text{(A) No member of S i...")
• 18:02, 1 October 2014 (diff | hist) . . (+431)‎ . . N 1970 AHSME Problems/Problem 3 ‎ (Created page with "== Problem == If <math>x=1+2^p</math> and <math>y=1+2^{-p}</math>, then <math>y</math> in terms of <math>x</math> is <math>\text{(A) } \frac{x+1}{x-1}\quad \text{(B) } \frac{x+...")
• 18:00, 1 October 2014 (diff | hist) . . (+456)‎ . . N 1970 AHSME Problems/Problem 2 ‎ (Created page with "== Problem == A square and a circle have equal perimeters. The ratio of the area of the circle to the are of the square is <math>\text{(A) } \frac{4}{\pi}\quad \text{(B) } \fra...")
• 17:56, 1 October 2014 (diff | hist) . . (+397)‎ . . N 1970 AHSME Problems/Problem 1 ‎ (Created page with "== Problem == The fourth power of <math>\sqrt{1+\sqrt{1+\sqrt{1}}}</math> is <math>\text{(A) } \sqrt{2}+\sqrt{3}\quad \text{(B) } \tfrac{1}{2}(7+3\sqrt{5})\quad \text{(C) } 1+2...")
• 17:48, 1 October 2014 (diff | hist) . . (-1)‎ . . m 1969 AHSME Problems/Problem 18 ‎ (→‎See also)
• 17:47, 1 October 2014 (diff | hist) . . (0)‎ . . m 1969 AHSME Problems/Problem 19 ‎ (→‎See also)
• 17:46, 1 October 2014 (diff | hist) . . (0)‎ . . m 1969 AHSME Problems/Problem 20 ‎ (→‎See also)
• 17:44, 1 October 2014 (diff | hist) . . (+7,373)‎ . . 1969 AHSME Problems ‎
• 17:39, 1 October 2014 (diff | hist) . . (+3,473)‎ . . m 1969 AHSME Problems ‎
• 17:35, 1 October 2014 (diff | hist) . . (+3,298)‎ . . m 1969 AHSME Problems ‎
• 17:31, 1 October 2014 (diff | hist) . . (+2,347)‎ . . N 1969 AHSME Problems ‎ (Created page with "==Problem 1== Solution ==Problem 2== Solution ==Problem 3== [[1969 AHSME Problems/Problem 3|Solution]...")
• 03:19, 1 October 2014 (diff | hist) . . (0)‎ . . m 1969 AHSME Problems/Problem 17 ‎ (→‎Solution)
• 03:19, 1 October 2014 (diff | hist) . . (0)‎ . . m 1969 AHSME Problems/Problem 19 ‎ (→‎Solution)
• 03:16, 1 October 2014 (diff | hist) . . (+715)‎ . . N 1969 AHSME Problems/Problem 35 ‎ (Created page with "== Problem == Let <math>L(m)</math> be the <math>x</math> coordinate of the left end point of the intersection of the graphs of <math>y=x^2-6</math> and <math>y=m</math>, where ...")
• 03:07, 1 October 2014 (diff | hist) . . (+546)‎ . . N 1969 AHSME Problems/Problem 34 ‎ (Created page with "== Problem == The remainder <math>R</math> obtained by dividing <math>x^{100}</math> by <math>x^2-3x+2</math> is a polynomial of degree less than <math>2</math>. Then <math>R</m...")
• 02:54, 1 October 2014 (diff | hist) . . (+586)‎ . . N 1969 AHSME Problems/Problem 33 ‎ (Created page with "== Problem == Let <math>S_n</math> and <math>T_n</math> be the respective sums of the first <math>n</math> terms of two arithmetic series. If <math>S_n:T_n=(7n+1):(4n+27)</math>...")
• 02:39, 1 October 2014 (diff | hist) . . (+530)‎ . . N 1969 AHSME Problems/Problem 32 ‎ (Created page with "== Problem == Let a sequence <math>\{u_n\}</math> be defined by <math>u_1=5</math> and the relationship <math>u_{n+1}-u_n=3+4(n-1), n=1,2,3\cdots.</math>If <math>u_n</math> is e...")
• 02:26, 1 October 2014 (diff | hist) . . (+1)‎ . . m 1969 AHSME Problems/Problem 31 ‎ (→‎Solution)
• 02:26, 1 October 2014 (diff | hist) . . (+254)‎ . . m 1969 AHSME Problems/Problem 31 ‎ (→‎Problem)
• 02:24, 1 October 2014 (diff | hist) . . (+1,511)‎ . . N 1969 AHSME Problems/Problem 31 ‎ (Created page with "== Problem == Let <math>OABC</math> be a unit square in the <math>xy</math>-plane with <math>O(0,0),A(1,0),B(1,1)</math> and <math>C(0,1)</math>. Let <math>u=x^2-y^2</math>, and ...")
• 00:14, 1 October 2014 (diff | hist) . . (+686)‎ . . N 1969 AHSME Problems/Problem 30 ‎ (Created page with "== Problem == Let <math>P</math> be a point of hypotenuse <math>AB</math> (or its extension) of isosceles right triangle <math>ABC</math>. Let <math>s=AP^2+PB^2</math>. Then: <...")
• 00:03, 1 October 2014 (diff | hist) . . (+459)‎ . . N 1969 AHSME Problems/Problem 29 ‎ (Created page with "== Problem == If <math>x=t^{1/(t-1)}</math> and <math>y=t^{t/(t-1)},t>0,t \ne 1</math>, a relation between <math>x</math> and <math>y</math> is: <math>\text{(A) } y^x=x^{1/y}...")
• 23:55, 30 September 2014 (diff | hist) . . (+561)‎ . . N 1969 AHSME Problems/Problem 28 ‎ (Created page with "== Problem == Let <math>n</math> be the number of points <math>P</math> interior to the region bounded by a circle with radius <math>1</math>, such that the sum of squares of th...")
• 23:50, 30 September 2014 (diff | hist) . . (+637)‎ . . N 1969 AHSME Problems/Problem 27 ‎ (Created page with "== Problem == A particle moves so that its speed for the second and subsequent miles varies inversely as the integral number of miles already traveled. For each subsequent mile ...")
• 23:40, 30 September 2014 (diff | hist) . . (+209)‎ . . 1969 AHSME Problems/Problem 26 ‎ (→‎Problem)
• 23:34, 30 September 2014 (diff | hist) . . (+506)‎ . . N 1969 AHSME Problems/Problem 26 ‎ (Created page with "== Problem == A parabolic arch has a height of <math>16</math> inches and a span of 40 inches. The height, in inches, of the arch at the point <math>5</math> inches from the cen...")
• 23:30, 30 September 2014 (diff | hist) . . (+433)‎ . . N 1969 AHSME Problems/Problem 25 ‎ (Created page with "== Problem == If it is known that <math>log_2(a)+log_2(b) \ge 6</math>, then the least value that can be taken on by <math>a+b</math> is: <math>\text{(A) } 2\sqrt{6}\quad \text...")
• 23:24, 30 September 2014 (diff | hist) . . (+804)‎ . . N 1969 AHSME Problems/Problem 24 ‎ (Created page with "== Problem == When the natural numbers <math>P</math> and <math>P'</math>, with <math>P>P'</math>, are divided by the natural number <math>D</math>, the remainders are <math>R</...")
• 23:18, 30 September 2014 (diff | hist) . . (+490)‎ . . N 1969 AHSME Problems/Problem 23 ‎ (Created page with "== Problem == For any integer <math>n>1</math>, the number of prime numbers greater than <math>n!+1</math> and less than <math>n!+n</math> is: <math>\text{(A) } 0\quad\qquad \t...")
• 23:11, 30 September 2014 (diff | hist) . . (+600)‎ . . N 1969 AHSME Problems/Problem 22 ‎ (Created page with "== Problem == Let <math>K</math> be the measure of the area bounded by the <math>x</math>-axis, the line <math>x=8</math>, and the curve defined by <cmath>f={(x,y)\quad |\quad ...")
• 23:03, 30 September 2014 (diff | hist) . . (-126)‎ . . m KGS math club/solution 2 1 ‎ (→‎Comments)
• 22:56, 30 September 2014 (diff | hist) . . (+503)‎ . . N 1969 AHSME Problems/Problem 21 ‎ (Created page with "== Problem == If the graph of <math>x^2+y^2=m</math> is tangent to that of <math>x+y=\sqrt{2m}</math>, then: <math>\text{(A) m must equal } \tfrac{1}{2}\quad \text{(B) m must e...")

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