User contributions
(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)
- 21:17, 11 November 2011 (diff | hist) . . (+1,754) . . N 1985 AHSME Problems/Problem 27 (Created page with "==Problem== Consider a sequence <math> x_1, x_2, x_3, \cdots </math> defined by <math> x_1=\sqrt[3]{3} </math> <math> x_2=\sqrt[3]{3}^\sqrt[3]{3} </math> and in general <math...")
- 21:36, 31 October 2011 (diff | hist) . . (+2) . . m 1985 AHSME Problems (→Problem 29)
- 00:13, 29 October 2011 (diff | hist) . . (+809) . . N 1985 AHSME Problems/Problem 26 (Created page with "==Problem== Find the least positive integer <math> n </math> for which <math> \frac{n-13}{5n+6} </math> is a non-zero reducible fraction. <math> \mathrm{(A)\ } 45 \qquad \ma...")
- 00:03, 29 October 2011 (diff | hist) . . (+1,648) . . N 1985 AHSME Problems/Problem 25 (Created page with "==Problem== The volume of a certain rectangular solid is <math> 8 \text{cm}^3 </math>, its total surface area is <math> 32 \text{cm}^2 </math>, and its three dimensions a...")
- 23:45, 28 October 2011 (diff | hist) . . (+1,264) . . N 1985 AHSME Problems/Problem 24 (Created page with "==Problem== A non-zero digit is chosen in such a way that the probability of choosing digit <math> d </math> is <math> \log_{10}{(d+1)}-\log_{10}{d} </math>. The probability ...")
- 23:21, 28 October 2011 (diff | hist) . . (+1,707) . . N 1985 AHSME Problems/Problem 23 (Created page with "==Problem== If <math> x=\frac{-1+i\sqrt{3}}{2} </math> and <math> y=\frac{-1-i\sqrt{3}}{2} </math>, where <math> i^2=-1 </math>, then which of the following is ''not'' correct? ...")
- 22:48, 28 October 2011 (diff | hist) . . (+2,195) . . N 1985 AHSME Problems/Problem 22 (Created page with "==Problem== In a circle with center <math> O </math>, <math> AD </math> is a diameter, <math> ABC </math> is a chord, <math> BO=5 </math>, and <math> \angle ABO=\stackrel...")
- 22:29, 28 October 2011 (diff | hist) . . (+1,170) . . N 1985 AHSME Problems/Problem 21 (Created page with "==Problem== How many integers <math> x </math> satisfy the equation <math> (x^2-x-1)^{x+2}=1 </math> <math> \mathrm{(A)\ } 2 \qquad \mathrm{(B) \ }3 \qquad \mathrm{(C) \ } 4 \q...")
- 22:16, 28 October 2011 (diff | hist) . . (+1,350) . . N 1985 AHSME Problems/Problem 20 (Created page with "==Problem== A wooden cube with edge length <math> n </math> units (where <math> n </math> is an integer <math> >2 </math>) is painted black all over. By slices parallel to it...")
- 22:08, 28 October 2011 (diff | hist) . . (+3,011) . . N 1985 AHSME Problems/Problem 19 (Created page with "==Problem== Consider the graphs <math> y=Ax^2 </math> and <math> y^2+3=x^2+4y </math>, where <math> A </math> is a positive constant and <math> x </math> and <math> y </math> are...")
- 21:13, 28 October 2011 (diff | hist) . . (+1,697) . . N 1985 AHSME Problems/Problem 18 (Created page with "==Problem== Six bags of marbles contain <math> 18, 19, 21, 23, 25, </math> and <math> 34 </math> marbles, respectively. One bag contains chipped marbles only. The other <math> 5 ...")
- 21:12, 28 October 2011 (diff | hist) . . (-9) . . m 1984 AHSME Problems/Problem 18 (→Solution)
- 19:16, 28 October 2011 (diff | hist) . . (+1,896) . . N 1985 AHSME Problems/Problem 17 (Created page with "==Problem== Diagonal <math> DB </math> of rectangle <math> ABCD </math> is divided into <math> 3 </math> segments of length <math> 1 </math> by parallel lines <math> ...")
- 18:55, 27 October 2011 (diff | hist) . . (+1) . . 1985 AHSME Problems (→Problem 18)
- 18:55, 27 October 2011 (diff | hist) . . (+2,033) . . N 1985 AHSME Problems/Problem 16 (Created page with "==Problem== If <math> A=20^\circ </math> and <math> B=25^\circ </math>, then the value of <math> (1+\tan A)(1+\tan B) </math> is <math> \mathrm{(A)\ } \sqrt{3} \qquad \mathrm{(B...")
- 20:44, 26 October 2011 (diff | hist) . . (+1) . . m 1984 AHSME Problems/Problem 15 (→Solution)
- 20:35, 26 October 2011 (diff | hist) . . (+817) . . N 1985 AHSME Problems/Problem 15 (Created page with "==Problem== If <math> a </math> and <math> b </math> are positive numbers such that <math> a^b=b^a </math> and <math> b=9a </math>, then the value of <math> a </math> is: <math>...")
- 21:42, 19 October 2011 (diff | hist) . . (+1,101) . . N 1985 AHSME Problems/Problem 14 (Created page with "==Problem== Exactly three of the interior angles of a convex polygon are obtuse. What is the maximum number of sides of such a polygon? <math> \mathrm{(A)\ } 4 \qquad \mathr...")
- 21:23, 19 October 2011 (diff | hist) . . (+1,634) . . N 1985 AHSME Problems/Problem 13 (Created page with "==Problem== Pegs are put in a board <math> 1 </math> unit apart both horizontally and vertically. A rubber band is stretched over <math> 4 </math> pegs as shown in the figure, fo...")
- 20:52, 16 October 2011 (diff | hist) . . (+1,170) . . N 1985 AHSME Problems/Problem 12 (Created page with "==Problem== Let's write <math> p, q, </math> and <math> r </math> as three distinct prime numbers, where <math> 1 </math> is not a prime. Which of the following is the smalle...")
- 20:36, 16 October 2011 (diff | hist) . . (+1,059) . . N 1985 AHSME Problems/Problem 11 (Created page with "==Problem== How many '''distinguishable''' rearrangements of the letters in CONTEST have both the vowels first? (For instance, OETCNST is one such arrangement but OTETSNC is not....")
- 21:50, 7 October 2011 (diff | hist) . . (+1,482) . . N 1985 AHSME Problems/Problem 9 (Created page with "==Problem== The odd positive integers <math> 1, 3, 5, 6, \cdots </math>, are arranged into five columns continuing with the pattern shown on the right. Counting from the left, th...")
- 21:49, 7 October 2011 (diff | hist) . . (+2) . . m 1984 AHSME Problems/Problem 9 (→Solution)
- 21:37, 7 October 2011 (diff | hist) . . (+965) . . N 1985 AHSME Problems/Problem 8 (Created page with "==Problem== Let <math> a, a', b, </math> and <math> b' </math> be real numbers with <math> a </math> and <math> a' </math> nonzero. The solution to <math> ax+b=0 </math> is less ...")
- 21:32, 7 October 2011 (diff | hist) . . (+3) . . m 1985 AHSME Problems (→Problem 8)
- 21:31, 7 October 2011 (diff | hist) . . (+1,234) . . N 1985 AHSME Problems/Problem 6 (Created page with "==Problem== One student in a class of boys and girls is chosen to represent the class. Each student is equally likely to be chosen and the probability that a boy is chosen is <ma...")
- 21:17, 7 October 2011 (diff | hist) . . (+1,600) . . N 1985 AHSME Problems/Problem 5 (Created page with "==Problem== Which terms must be removed from the sum <math> \frac{1}{2}+\frac{1}{4}+\frac{1}{6}+\frac{1}{8}+\frac{1}{10}+\frac{1}{12} </math> if the sum of the remaining terms ...")
- 21:03, 7 October 2011 (diff | hist) . . (+1,202) . . N 1985 AHSME Problems/Problem 4 (Created page with "==Problem== A large bag of coins contains pennies, dimes, and quarters. There are twice as many dimes as pennies and three times as many quarters as dimes. An amount of money whi...")
- 20:38, 7 October 2011 (diff | hist) . . (+1,489) . . N 1985 AHSME Problems/Problem 3 (Created page with "==Problem== In right <math> \triangle ABC </math> with legs <math> 5 </math> and <math> 12 </math>, arcs of circles are drawn, one with center <math> A </math> and radius <math> ...")
- 20:27, 7 October 2011 (diff | hist) . . (+1,255) . . N 1985 AHSME Problems/Problem 2 (Created page with "==Problem== In an arcade game, the "monster" is the shaded sector of a circle of radius <math> 1 </math> cm, as shown in the figure. The missing piece (the mouth) has cen...")
- 20:10, 7 October 2011 (diff | hist) . . (+1,311) . . 1985 AHSME Problems
- 19:59, 7 October 2011 (diff | hist) . . (+794) . . N 1985 AHSME Problems/Problem 1 (Created page with "==Problem 1== If <math> 2x+1=8 </math>, then <math> 4x+1= </math> <math> \mathrm{(A)\ } 15 \qquad \mathrm{(B) \ }16 \qquad \mathrm{(C) \ } 17 \qquad \mathrm{(D) \ } 18 \qquad...")
- 20:59, 1 October 2011 (diff | hist) . . (+15,456) . . N 1985 AHSME Problems (Created page with "==Problem 1== If <math> 2x+1=8 </math>, then <math> 4x+1= </math> <math> \mathrm{(A)\ } 15 \qquad \mathrm{(B) \ }16 \qquad \mathrm{(C) \ } 17 \qquad \mathrm{(D) \ } 18 \qquad ...")
- 17:55, 1 October 2011 (diff | hist) . . (+31) . . m 1984 AHSME Problems/Problem 11 (→Solution)
- 17:25, 1 October 2011 (diff | hist) . . (+1,758) . . N 1985 AHSME (Created page with "'''1985 AHSME''' problems and solutions. The first link contains the full set of test problems. The rest contain each individual problem and its solution. *[[1985 AHSME Pro...")
- 22:46, 3 September 2011 (diff | hist) . . (0) . . m 1995 AHSME Problems (→Problem 15)
- 18:29, 26 August 2011 (diff | hist) . . (+135) . . m 2001 AMC 10 Problems/Problem 21 (→Solution)
- 18:10, 26 August 2011 (diff | hist) . . (+303) . . m 2001 AMC 10 Problems/Problem 21 (→Solution)
- 19:22, 20 August 2011 (diff | hist) . . (0) . . m 1999 AHSME Problems/Problem 7 (→Solution)
- 15:41, 13 July 2011 (diff | hist) . . (+2) . . 1984 AHSME Problems (→Problem 26)
- 15:35, 13 July 2011 (diff | hist) . . (+2,172) . . N 1984 AHSME Problems/Problem 27 (Created page with "==Problem== In <math> \triangle ABC </math>, <math> D </math> is on <math> AC </math> and <math> F </math> is on <math> BC </math>. Also, <math> AB\perp AC </math>, <math> AF\per...")
- 14:19, 13 July 2011 (diff | hist) . . (+2) . . 1984 AHSME Problems (→Problem 27)
- 12:33, 13 July 2011 (diff | hist) . . (+287) . . AoPS Wiki talk:Problem of the Day/July 13, 2011 (→Solution) (current)
- 20:58, 9 July 2011 (diff | hist) . . (+110) . . AoPS Wiki talk:Problem of the Day/July 10, 2011 (current)
- 22:54, 8 July 2011 (diff | hist) . . (+1,149) . . N 1984 AHSME Problems/Problem 23 (Created page with "==Problem== <math> \frac{\sin{10^\circ}+\sin{20^\circ}}{\cos{10^\circ}+\cos{20^\circ}} </math> equals <math> \mathrm{(A) \ }\tan{10^\circ}+\tan{20^\circ} \qquad \mathrm{(B) \ }\...")
- 22:30, 8 July 2011 (diff | hist) . . (+1,734) . . N 1984 AHSME Problems/Problem 22 (Created page with "==Problem== Let <math> a </math> and <math> c </math> be fixed positive numbers. For each real number <math> t </math> let <math> (x_t, y_t) </math> be th...")
- 22:12, 8 July 2011 (diff | hist) . . (+1,351) . . N 1984 AHSME Problems/Problem 20 (Created page with "==Problem== The number of the distinct solutions to the equation <math> |x-|2x+1||=3 </math> is <math> \mathrm{(A) \ }0 \qquad \mathrm{(B) \ }1 \qquad \mathrm{(C) \ } 2 \qquad ...")
- 21:28, 8 July 2011 (diff | hist) . . (+2,624) . . Nm 1984 AHSME Problems/Problem 4 (Created page with "==Problem== Points <math> B, C, F, E </math> are picked on a circle such that <math> BC||EF </math>. When <math> BC </math> is extended to the left, point <math> A </math> is...")
- 22:49, 2 July 2011 (diff | hist) . . (+17) . . User:Admin25 (→Failures)
- 22:01, 2 July 2011 (diff | hist) . . (+2,285) . . N 1984 AHSME Problems/Problem 15 (Created page with "==Problem 15== If <math> \sin{2x}\sin{3x}=\cos{2x}\cos{3x} </math>, then one value for <math> x </math> is <math> \mathrm{(A) \ }18^\circ \qquad \mathrm{(B) \ }30^\circ \qquad \...")
(newest | oldest) View (newer 50 | older 50) (20 | 50 | 100 | 250 | 500)