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- 20:03, 26 May 2012 (diff | hist) . . (+893) . . N 1974 AHSME Problems/Problem 20 (Created page with "==Problem== Let <cmath> T=\frac{1}{3-\sqrt{8}}-\frac{1}{\sqrt{8}-\sqrt{7}}+\frac{1}{\sqrt{7}-\sqrt{6}}-\frac{1}{\sqrt{6}-\sqrt{5}}+\frac{1}{\sqrt{5}-2}. </cmath> Then <math> \...")
- 19:57, 26 May 2012 (diff | hist) . . (+1,587) . . N 1974 AHSME Problems/Problem 19 (Created page with "==Problem== In the adjoining figure <math> ABCD </math> is a square and <math> CMN </math> is an equilateral triangle. If the area of <math> ABCD </math> is one square inch, then...")
- 18:21, 26 May 2012 (diff | hist) . . (+1,007) . . N 1974 AHSME Problems/Problem 18 (Created page with "==Problem== If <math> \log_8{3}=p </math> and <math> \log_3{5}=q </math>, then, in terms of <math> p </math> and <math> q </math>, <math> \log_{10}{5} </math> equals <math> \mat...")
- 18:09, 26 May 2012 (diff | hist) . . (+491) . . N 1974 AHSME Problems/Problem 17 (Created page with "==Problem== If <math> i^2=-1 </math>, then <math> (1+i)^{20}-(1-i)^{20} </math> equals <math> \mathrm{(A)\ } -1024 \qquad \mathrm{(B) \ }-1024i \qquad \mathrm{(C) \ } 0 \qquad ...")
- 18:06, 26 May 2012 (diff | hist) . . (+1,602) . . N 1974 AHSME Problems/Problem 16 (Created page with "==Problem== A circle of radius <math> r </math> is inscribed in a right isosceles triangle, and a circle of radius <math> R </math> is circumscribed about the triangle. Then <mat...")
- 17:43, 26 May 2012 (diff | hist) . . (+593) . . N 1974 AHSME Problems/Problem 15 (Created page with "==Problem== If <math> x<-2 </math>, then <math> |1-|1+x|| </math> equals <math> \mathrm{(A)\ } 2+x \qquad \mathrm{(B) \ }-2-x \qquad \mathrm{(C) \ } x \qquad \mathrm{(D) \ } ...")
- 17:38, 26 May 2012 (diff | hist) . . (+808) . . N 1974 AHSME Problems/Problem 14 (Created page with "==Problem== Which statement is correct? <math> \mathrm{(A)\ } \text{If } x<0, \text{then } x^2>x. \qquad \mathrm{(B) \ } \text{If } x^2>0, \text{then } x>0. </math> <math> \qqu...")
- 17:33, 26 May 2012 (diff | hist) . . (+1,373) . . N 1974 AHSME Problems/Problem 13 (Created page with "==Problem== Which of the following is equivalent to "If P is true, then Q is false."? <math> \mathrm{(A)\ } \text{``P is true or Q is false."} \qquad </math> <math> \mathrm{(B)...")
- 17:24, 26 May 2012 (diff | hist) . . (+887) . . N 1974 AHSME Problems/Problem 12 (Created page with "==Problem== If <math> g(x)=1-x^2 </math> and <math> f(g(x))=\frac{1-x^2}{x^2} </math> when <math> x\not=0 </math>, then <math> f(1/2) </math> equals <math> \mathrm{(A)\ } 3/4 \...")
- 17:14, 26 May 2012 (diff | hist) . . (+1,011) . . N 1974 AHSME Problems/Problem 11 (Created page with "==Problem== If <math> (a, b) </math> and <math> (c, d) </math> are two points on the line whose equation is <math> y=mx+k </math>, then the distance between <math> (a, b) </math>...")
- 17:07, 26 May 2012 (diff | hist) . . (+270) . . 1974 AHSME Problems/Problem 10
- 17:07, 26 May 2012 (diff | hist) . . (+54) . . 1974 AHSME Problems/Problem 10
- 17:07, 26 May 2012 (diff | hist) . . (-55) . . 1974 AHSME Problems (→See Also)
- 17:06, 26 May 2012 (diff | hist) . . (+394) . . N 1974 AHSME Problems/Problem 10 (Created page with " ==Solution== Expanding, we have <math> 2kx^2-8x-x^2+6=0 </math>, or <math> (2k-1)x^2-8x+6=0 </math>. For this quadratic not to have real roots, it must have a negative discrimi...")
- 17:06, 26 May 2012 (diff | hist) . . (-394) . . 1974 AHSME Problems (→Solution)
- 17:06, 26 May 2012 (diff | hist) . . (+3) . . m 1974 AHSME Problems (→Problem)
- 17:05, 26 May 2012 (diff | hist) . . (+447) . . 1974 AHSME Problems (→Problem 10)
- 16:59, 26 May 2012 (diff | hist) . . (0) . . m 1974 AHSME Problems (→Problem 9)
- 16:56, 26 May 2012 (diff | hist) . . (+1,552) . . N 1974 AHSME Problems/Problem 9 (Created page with "==Problem== The integers greater than one are arranged in five columns as follows: <cmath> \begin{tabular}{c c c c c}\ & 2 & 3 & 4 & 5\ 9 & 8 & 7 & 6 &\ \ \ & 10 & 11 & 12 & 1...")
- 16:43, 26 May 2012 (diff | hist) . . (+749) . . N 1974 AHSME Problems/Problem 8 (Created page with "==Problem== What is the smallest prime number dividing the sum <math> 3^{11}+5^{13} </math>? <math> \mathrm{(A)\ } 2 \qquad \mathrm{(B) \ }3 \qquad \mathrm{(C) \ } 5 \qquad \ma...")
- 16:38, 26 May 2012 (diff | hist) . . (+1,066) . . N 1974 AHSME Problems/Problem 7 (Created page with "==Problem== A town's population increased by <math> 1,200 </math> people, and then this new population decreased by <math> 11\% </math>. The town now had <math> 32 </math> less p...")
- 16:34, 26 May 2012 (diff | hist) . . (+1,305) . . N 1974 AHSME Problems/Problem 6 (Created page with "==Problem== For positive real numbers <math> x </math> and <math> y </math> define <math> x*y=\frac{x\cdot y}{x+y} </math>' then <math> \mathrm{(A)\ } \text{``*" is commutative ...")
- 15:10, 26 May 2012 (diff | hist) . . (+1,082) . . N 1974 AHSME Problems/Problem 5 (Created page with "==Problem== Given a quadrilateral <math> ABCD </math> inscribed in a circle with side <math> AB </math> extended beyond <math> B </math> to point <math> E </math>, if <math> \mea...")
- 15:04, 26 May 2012 (diff | hist) . . (+471) . . N 1974 AHSME Problems/Problem 4 (Created page with "==Problem== What is the remainder when <math> x^{51}+51 </math> is divided by <math> x+1 </math>? <math> \mathrm{(A)\ } 0 \qquad \mathrm{(B) \ }1 \qquad \mathrm{(C) \ } 49 \qqu...")
- 14:56, 26 May 2012 (diff | hist) . . (+858) . . N 1974 AHSME Problems/Problem 3 (Created page with "==Problem== The coefficient of <math> x^7 </math> in the polynomial expansion of <cmath> (1+2x-x^2)^4 </cmath> is <math> \mathrm{(A)\ } -8 \qquad \mathrm{(B) \ }12 \qquad \ma...")
- 14:49, 26 May 2012 (diff | hist) . . (+790) . . N 1974 AHSME Problems/Problem 2 (Created page with "==Problem== Let <math> x_1 </math> and <math> x_2 </math> be such that <math> x_1\not=x_2 </math> and <math> 3x_i^2-hx_i=b </math>, <math> i=1, 2 </math>. Then <math> x_1+x_2 </m...")
- 14:46, 26 May 2012 (diff | hist) . . (+819) . . N 1974 AHSME Problems/Problem 1 (Created page with "==Problem== If <math> x\not=0 </math> or <math> 4 </math> and <math> y\not=0 </math> or <math> 6 </math>, then <math> \frac{2}{x}+\frac{3}{y}=\frac{1}{2} </math> is equivalent to...")
- 14:42, 26 May 2012 (diff | hist) . . (-2) . . m 1985 AHSME Problems/Problem 1 (→Problem 1)
- 14:36, 26 May 2012 (diff | hist) . . (+1,311) . . 1974 AHSME Problems
- 14:32, 26 May 2012 (diff | hist) . . (+13,504) . . N 1974 AHSME Problems (Created page with "==Problem 1== If <math> x\not=0 </math> or <math> 4 </math> and <math> y\not=0 </math> or <math> 6 </math>, then <math> \frac{2}{x}+\frac{3}{y}=\frac{1}{2} </math> is equivalent ...")
- 12:34, 26 May 2012 (diff | hist) . . (+1,757) . . N 1974 AHSME (Created page with "'''1974 AHSME''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. *[[1974 AHSME Prob...")
- 09:25, 25 February 2012 (diff | hist) . . (0) . . m 1985 AIME Problems (→Problem 8)
- 13:12, 2 January 2012 (diff | hist) . . (+2,762) . . N Mock Geometry AIME 2011 Problems/Problem 11 (Created page with "==Problem== <math>C</math> is on a semicircle with diameter <math>AB</math> and center <math>O.</math> Circle radius <math>r_1</math> is tangent to <math>OA,OC,</math> and arc <...") (current)
- 11:26, 2 January 2012 (diff | hist) . . (+354) . . m Mock Geometry AIME 2011 Problems/Problem 4
- 22:57, 1 January 2012 (diff | hist) . . (+21) . . m Mock Geometry AIME 2011 Problems/Problem 4
- 22:09, 1 January 2012 (diff | hist) . . (+1,773) . . Mock Geometry AIME 2011 Problems/Problem 5
- 21:05, 1 January 2012 (diff | hist) . . (-14) . . m Mock Geometry AIME 2011 Problems/Problem 3 (→Solution)
- 21:05, 1 January 2012 (diff | hist) . . (+326) . . m Mock Geometry AIME 2011 Problems/Problem 3
- 15:37, 30 December 2011 (diff | hist) . . (+1,016) . . N Mock Geometry AIME 2011 Problems/Problem 2 (Created page with "==Problem== Eleven nonparallel lines lie on a plane, and their pairwise intersections meet at angles of integer degree. How many possible values are there for the smallest of th...")
- 15:28, 30 December 2011 (diff | hist) . . (+1,628) . . Mock Geometry AIME 2011 Problems/Problem 1
- 15:07, 30 December 2011 (diff | hist) . . (+634) . . N Mock Geometry AIME 2011 Problems/Problem 1 (Created page with "==Problem== Let <math>ABCD</math> be a unit square, and let <math>AB_1C_1D_1</math> be its image after a <math>30</math> degree rotation about point <math>A.</math> The area of ...")
- 14:57, 30 December 2011 (diff | hist) . . (+791) . . m Mock Geometry AIME 2011 Problems
- 14:56, 30 December 2011 (diff | hist) . . (+56) . . m Mock Geometry AIME 2011 Problems (→Problem 1)
- 11:08, 27 November 2011 (diff | hist) . . (+1,614) . . N 1983 AHSME (Created page with "'''1983 AHSME''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. *[[1983 AHSME Problems...")
- 11:06, 27 November 2011 (diff | hist) . . (-39) . . m 1984 AHSME
- 14:11, 26 November 2011 (diff | hist) . . (+801) . . N 1985 AHSME Problems/Problem 7 (Created page with "==Problem== In some computer languages (such as APL), when there are no parentheses in an algebraic expression, the operations are grouped from left to right. Thus, <math> a\time...")
- 14:07, 26 November 2011 (diff | hist) . . (+2,123) . . N 1985 AHSME Problems/Problem 30 (Created page with "==Problem== Let <math> \lfloor x \rfloor </math> be the greatest integer less than or equal to <math> x </math>. Then the number of real solutions to <math> 4x^2-40\lfloor x \rfl...")
- 13:27, 26 November 2011 (diff | hist) . . (+893) . . N 1985 AHSME Problems/Problem 10 (Created page with "==Problem== An arbitrary circle can intersect the graph <math> y=\sin x </math> in <math> \mathrm{(A) } \text{at most }2\text{ points} \qquad \mathrm{(B) }\text{at mos...")
- 23:53, 11 November 2011 (diff | hist) . . (+2,359) . . N 1985 AHSME Problems/Problem 29 (Created page with "==Problem== In their base <math> 10 </math> representation, the integer <math> a </math> consists of a sequence of <math> 1985 </math> eights and the integer <math> b </math> con...")
- 22:02, 11 November 2011 (diff | hist) . . (+2,543) . . N 1985 AHSME Problems/Problem 28 (Created page with "==Problem== In <math> \triangle ABC </math>, we have <math> \angle C=3\angle A, a=27, </math> and <math> c=48 </math>. What is <math> b </math>? <asy> defaultpen(linewidth(0.7)+...")
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