User contributions
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- 14:49, 15 August 2011 (diff | hist) . . (+500) . . N 1994 AJHSME Problems/Problem 24 (Created page with "==Problem== A <math>2</math> by <math>2</math> square is divided into four <math>1</math> by <math>1</math> squares. Each of the small squares is to be painted either green or ...")
- 14:48, 15 August 2011 (diff | hist) . . (+370) . . N 1994 AJHSME Problems/Problem 23 (Created page with "==Problem== If <math>X</math>, <math>Y</math> and <math>Z</math> are different digits, then the largest possible <math>3-</math>digit sum for <math>\begin{tabular}{ccc} X & X &...")
- 14:48, 15 August 2011 (diff | hist) . . (+747) . . N 1994 AJHSME Problems/Problem 22 (Created page with "==Problem== The two wheels shown below are spun and the two resulting numbers are added. The probability that the sum is even is <asy> draw(circle((0,0),3)); draw(circle((7,0)...")
- 14:47, 15 August 2011 (diff | hist) . . (+334) . . N 1994 AJHSME Problems/Problem 21 (Created page with "==Problem== A gumball machine contains <math>9</math> red, <math>7</math> white, and <math>8</math> blue gumballs. The least number of gumballs a person must buy to be sure of ...")
- 14:47, 15 August 2011 (diff | hist) . . (+455) . . N 1994 AJHSME Problems/Problem 20 (Created page with "==Problem== Let <math>W,X,Y</math> and <math>Z</math> be four different digits selected from the set <math>\{ 1,2,3,4,5,6,7,8,9\}.</math> If the sum <math>\dfrac{W}{X} + \dfra...")
- 14:46, 15 August 2011 (diff | hist) . . (+941) . . N 1994 AJHSME Problems/Problem 19 (Created page with "==Problem== Around the outside of a <math>4</math> by <math>4</math> square, construct four semicircles (as shown in the figure) with the four sides of the square as their diame...")
- 14:45, 15 August 2011 (diff | hist) . . (+1,815) . . N 1994 AJHSME Problems/Problem 18 (Created page with "==Problem== Mike leaves home and drives slowly east through city traffic. When he reaches the highway he drives east more rapidly until he reaches the shopping mall where he st...")
- 14:44, 15 August 2011 (diff | hist) . . (+569) . . N 1994 AJHSME Problems/Problem 17 (Created page with "==Problem== Pauline Bunyan can shovel snow at the rate of <math>20</math> cubic yards for the first hour, <math>19</math> cubic yards for the second, <math>18</math> for the thi...")
- 14:43, 15 August 2011 (diff | hist) . . (+290) . . N 1994 AJHSME Problems/Problem 16 (Created page with "==Problem== The perimeter of one square is <math>3</math> times the perimeter of another square. The area of the larger square is how many times the area of the smaller square?...")
- 14:42, 15 August 2011 (diff | hist) . . (+1,974) . . N 1994 AJHSME Problems/Problem 15 (Created page with "==Problem== If this path is to continue in the same pattern: <asy> unitsize(24); draw((0,0)--(1,0)--(1,1)--(2,1)--(2,0)--(3,0)--(3,1)--(4,1)--(4,0)--(5,0)--(5,1)--(6,1)); draw(...")
- 14:40, 15 August 2011 (diff | hist) . . (+356) . . N 1994 AJHSME Problems/Problem 14 (Created page with "==Problem== Two children at a time can play pairball. For <math>90</math> minutes, with only two children playing at time, five children take turns so that each one plays the s...")
- 14:40, 15 August 2011 (diff | hist) . . (+269) . . N 1994 AJHSME Problems/Problem 13 (Created page with "==Problem== The number halfway between <math>\dfrac{1}{6}</math> and <math>\dfrac{1}{4}</math> is <math>\text{(A)}\ \dfrac{1}{10} \qquad \text{(B)}\ \dfrac{1}{5} \qquad \text{(...")
- 14:40, 15 August 2011 (diff | hist) . . (+13) . . 1994 AJHSME Problems/Problem 12
- 14:39, 15 August 2011 (diff | hist) . . (+470) . . N 1994 AJHSME Problems/Problem 12 (Created page with "A lucky year is one in which at least one date, when written in the form month/day/year, has the following property: ''The product of the month times the day equals the last two ...")
- 14:39, 15 August 2011 (diff | hist) . . (+488) . . N 1994 AJHSME Problems/Problem 11 (Created page with "==Problem== Last summer <math>100</math> students attended basketball camp. Of those attending, <math>52</math> were boys and <math>48</math> were girls. Also, <math>40</math>...")
- 14:39, 15 August 2011 (diff | hist) . . (+240) . . N 1994 AJHSME Problems/Problem 10 (Created page with "==Problem== For how many positive integer values of <math>N</math> is the expression <math>\dfrac{36}{N+2}</math> an integer? <math>\text{(A)}\ 7 \qquad \text{(B)}\ 8 \qquad \t...")
- 14:38, 15 August 2011 (diff | hist) . . (+517) . . N 1994 AJHSME Problems/Problem 9 (Created page with "==Problem== A shopper buys a <math>100</math> dollar coat on sale for <math>20\% </math> off. An additional <math>5</math> dollars are taken off the sale price by using a disco...")
- 14:37, 15 August 2011 (diff | hist) . . (+214) . . N 1994 AJHSME Problems/Problem 8 (Created page with "==Problem== For how many three-digit whole numbers does the sum of the digits equal <math>25</math>? <math>\text{(A)}\ 2 \qquad \text{(B)}\ 4 \qquad \text{(C)}\ 6 \qquad \text{...")
- 14:35, 15 August 2011 (diff | hist) . . (+164) . . 1994 AJHSME Problems/Problem 7
- 14:34, 15 August 2011 (diff | hist) . . (+550) . . N 1994 AJHSME Problems/Problem 7 (Created page with "If <math>\angle A = 60^\circ </math>, <math>\angle E = 40^\circ </math> and <math>\angle C = 30^\circ </math>, then <math>\angle BDC = </math> <asy> pair A,B,C,D,EE; A = origin;...")
- 19:51, 14 August 2011 (diff | hist) . . (+519) . . 2006 AMC 8 (→Problem 5)
- 19:49, 14 August 2011 (diff | hist) . . (+774) . . 2006 AMC 8 (→Problem 4)
- 19:48, 14 August 2011 (diff | hist) . . (+323) . . 2006 AMC 8 (→Problem 3)
- 19:47, 14 August 2011 (diff | hist) . . (+262) . . 2006 AMC 8 (→Problem 2)
- 16:07, 14 August 2011 (diff | hist) . . (+1) . . 2006 AMC 8 (→Problem 1)
- 16:07, 14 August 2011 (diff | hist) . . (-31) . . 2006 AMC 8 (→Problem 1)
- 16:06, 14 August 2011 (diff | hist) . . (+19) . . 2006 AMC 8 (→Problem 1)
- 16:06, 14 August 2011 (diff | hist) . . (+292) . . 2006 AMC 8 (→Problem 1)
- 16:03, 14 August 2011 (diff | hist) . . (-7,236) . . 2006 AMC 8 (Replaced content with "==Problem 1== ==Problem 2== ==Problem 3== ==Problem 4== ==Problem 5== ==Problem 6== ==Problem 7== ==Problem 8== ==Problem 9== ==Problem 10== ==Problem 11== ==Problem 12== ==P...")
- 15:53, 14 August 2011 (diff | hist) . . (+257) . . N 2003 AMC 12B/Problem 1 (Created page with "==Problem== Which of the following is the same as <cmath> \frac{2-4+6-8+10-12+14}{3-6+9-12+15-18+21}? </cmath> <math> \textbf{(A)}\ -1\qquad\textbf{(B)}\ -\frac{2}3\qquad\text...")
- 15:52, 14 August 2011 (diff | hist) . . (+469) . . N 1970 AHSME (Created page with "==Problem 1== ==Problem 2== ==Problem 3== ==Problem 4== ==Problem 5== ==Problem 6== ==Problem 7== ==Problem 8== ==Problem 9== ==Problem 10== ==Problem 11== ==Problem 1...")
- 14:10, 14 August 2011 (diff | hist) . . (+73) . . N 1978 USAMO Problems (Created page with "==Problem 1== ==Problem 2== ==Problem 3== ==Problem 4== ==Problem 5==")
- 14:09, 14 August 2011 (diff | hist) . . (-95) . . 1984 USAMO Problems/Problem 2 (Blanked the page)
- 14:05, 14 August 2011 (diff | hist) . . (+73) . . N 1986 USAMO (Created page with "==Problem 1== ==Problem 2== ==Problem 3== ==Problem 4== ==Problem 5==")
- 13:29, 14 August 2011 (diff | hist) . . (-1) . . 2009 AMC 8 Problems/Problem 22
- 13:29, 14 August 2011 (diff | hist) . . (+222) . . N 2009 AMC 8 Problems/Problem 22 (Created page with "==Problem== How many whole numbers between 1 and 1000 do [b]not[/b] contain the digit 1? <math> \textbf{(A)}\ 512 \qquad \textbf{(B)}\ 648 \qquad \textbf{(C)}\ 720 \qquad \text...")
- 13:29, 14 August 2011 (diff | hist) . . (+561) . . N 2009 AMC 8 Problems/Problem 21 (Created page with "==Problem== Andy and Bethany have a rectangular array of numbers with <math> 40</math> rows and <math> 75</math> columns. Andy adds the numbers in each row. The average of his <...")
- 13:28, 14 August 2011 (diff | hist) . . (+13) . . 2009 AMC 8 Problems/Problem 20
- 13:28, 14 August 2011 (diff | hist) . . (+342) . . N 2009 AMC 8 Problems/Problem 20 (Created page with "How many non-congruent triangles have vertices at three of the eight points in the array shown below? <asy>dot((0,0)); dot((0,.5)); dot((.5,0)); dot((.5,.5)); dot((1,0)); dot((1...")
- 13:28, 14 August 2011 (diff | hist) . . (+327) . . N 2009 AMC 8 Problems/Problem 19 (Created page with "==Problems== Two angles of an isosceles triangle measure <math> 70^\circ</math> and <math> x^\circ</math>. What is the sum of the three possible values of <math> x</math>? <math...")
- 13:27, 14 August 2011 (diff | hist) . . (+1,040) . . N 2009 AMC 8 Problems/Problem 18 (Created page with "The diagram represents a <math> 7</math>-foot-by-<math> 7</math>-foot floor that is tiled with <math> 1</math>-square-foot black tiles and white tiles. Notice that the corners ha...")
- 13:27, 14 August 2011 (diff | hist) . . (+462) . . N 2009 AMC 8 Problems/Problem 17 (Created page with "==Problem== The positive integers <math> x</math> and <math> y</math> are the two smallest positive integers for which the product of <math> 360</math> and <math> x</math> is a ...")
- 13:26, 14 August 2011 (diff | hist) . . (+240) . . N 2009 AMC 8 Problems/Problem 16 (Created page with "==Problem== How many <math> 3</math>-digit positive integers have digits whose product equals <math> 24</math>? <math> \textbf{(A)}\ 12 \qquad \textbf{(B)}\ 15 \qquad \textbf{(...")
- 13:26, 14 August 2011 (diff | hist) . . (+636) . . N 2009 AMC 8 Problems/Problem 15 (Created page with "==Problem== A recipe that makes <math> 5</math> servings of hot chocolate requires <math> 2</math> squares of chocolate, <math> \frac{1}{4}</math> cup sugar, <math> 1</math> cup...")
- 13:25, 14 August 2011 (diff | hist) . . (+548) . . N 2009 AMC 8 Problems/Problem 14 (Created page with "==Problem== Austin and Temple are <math> 50</math> miles apart along Interstate 35. Bonnie drove from Austin to her daughter's house in Temple, averaging <math> 60</math> miles ...")
- 13:25, 14 August 2011 (diff | hist) . . (+385) . . N 2009 AMC 8 Problems/Problem 13 (Created page with "==Problem== A three-digit integer contains one of each of the digits <math> 1</math>, <math> 3</math>, and <math> 5</math>. What is the probability that the integer is divisible...")
- 13:25, 14 August 2011 (diff | hist) . . (-249) . . 2009 AMC 8 Problems/Problem 12
- 13:24, 14 August 2011 (diff | hist) . . (-2) . . 2009 AMC 8 Problems/Problem 12
- 13:24, 14 August 2011 (diff | hist) . . (+2) . . 2009 AMC 8 Problems/Problem 12
- 13:23, 14 August 2011 (diff | hist) . . (+854) . . N 2009 AMC 8 Problems/Problem 12 (Created page with "==Problem== The two spinners shown are spun once and each lands on one of the numbered sectors. What is the probability that the sum of the numbers in the two sectors is prime? <...")
- 13:23, 14 August 2011 (diff | hist) . . (+13) . . 2009 AMC 8 Problems/Problem 10
- 13:23, 14 August 2011 (diff | hist) . . (+2,164) . . N 2009 AMC 8 Problems/Problem 10 (Created page with "On a checkerboard composed of 64 unit squares, what is the probability that a randomly chosen unit square does '''not''' touch the outer edge of the board? <asy> unitsize(10); ...")
- 13:22, 14 August 2011 (diff | hist) . . (+15) . . 2009 AMC 8 Problems/Problem 11
- 13:21, 14 August 2011 (diff | hist) . . (+486) . . N 2009 AMC 8 Problems/Problem 11 (Created page with "The Amaco Middle School bookstore sells pencils costing a whole number of cents. Some seventh graders each bought a pencil, paying a total of <math> $1.43</math>. Some of th...")
- 13:21, 14 August 2011 (diff | hist) . . (+697) . . N 2009 AMC 8 Problems/Problem 9 (Created page with "==Problem== Construct a square on one side of an equilateral triangle. One on non-adjacent side of the square, construct a regular pentagon, as shown. One a non-adjacent side of...")
- 13:20, 14 August 2011 (diff | hist) . . (+26) . . 2009 AMC 8 Problems/Problem 23
- 13:20, 14 August 2011 (diff | hist) . . (+13) . . 2009 AMC 8 Problems/Problem 8
- 13:20, 14 August 2011 (diff | hist) . . (+13) . . 2009 AMC 8 Problems/Problem 7
- 13:19, 14 August 2011 (diff | hist) . . (+13) . . 2009 AMC 8 Problems/Problem 6
- 13:19, 14 August 2011 (diff | hist) . . (+13) . . 2009 AMC 8 Problems/Problem 5
- 13:19, 14 August 2011 (diff | hist) . . (+12) . . m 2009 AMC 8 Problems/Problem 4
- 13:18, 14 August 2011 (diff | hist) . . (+13) . . 2009 AMC 8 Problems/Problem 3
- 13:18, 14 August 2011 (diff | hist) . . (+13) . . 2009 AMC 8 Problems/Problem 2
- 13:18, 14 August 2011 (diff | hist) . . (-2) . . 2009 AMC 8 Problems/Problem 1
- 13:18, 14 August 2011 (diff | hist) . . (+15) . . 2009 AMC 8 Problems/Problem 1
- 13:18, 14 August 2011 (diff | hist) . . (+299) . . N 2009 AMC 8 Problems/Problem 8 (Created page with "The length of a rectangle is increased by <math> 10%</math> and the width is decreased by <math> 10%</math>. What percent of the old area is the new area? <math> \textbf{(A)}\ ...")
- 13:17, 14 August 2011 (diff | hist) . . (+1,103) . . N 2009 AMC 8 Problems/Problem 7 (Created page with "The triangular plot of ACD lies between Aspen Road, Brown Road and a railroad. Main Street runs east and west, and the railroad runs north and south. The numbers in the diagram ...")
- 13:17, 14 August 2011 (diff | hist) . . (+392) . . N 2009 AMC 8 Problems/Problem 6 (Created page with "Steve's empty swimming pool will hold <math> 24,000</math> gallons of water when full. It will be filled by <math> 4</math> hoses, each of which supplies <math> 2.5</math> gallon...")
- 13:16, 14 August 2011 (diff | hist) . . (+497) . . N 2009 AMC 8 Problems/Problem 5 (Created page with "A sequence of numbers starts with <math> 1</math>, <math> 2</math>, and <math> 3</math>. The fourth number of the sequence is the sum of the previous three numbers in the sequenc...")
- 13:16, 14 August 2011 (diff | hist) . . (+1,578) . . N 2009 AMC 8 Problems/Problem 4 (Created page with "The five pieces shown below can be arranged to form four of the five figures shown in the choices. Which figure [b]cannot[/b] be formed? <asy> defaultpen(linewidth(0.6)); size(8...")
- 13:13, 14 August 2011 (diff | hist) . . (+17,343) . . 2010 AMC 8
- 13:03, 14 August 2011 (diff | hist) . . (+6) . . 2008 AMC 8
- 13:02, 14 August 2011 (diff | hist) . . (+323) . . 2008 AMC 8
- 13:00, 14 August 2011 (diff | hist) . . (+12,780) . . N 2008 AMC 8 (Created page with "==Problem 1== Susan had <math>$50</math> to spend at the carnival. She spent <math>$12</math> on food and twice as much on rides. How many dollars did she have left to ...")
- 11:20, 14 August 2011 (diff | hist) . . (+131) . . N AoPS Wiki:Problem of the Day/August 14, 2011 (Created page with "Find all natural numbers <math>n</math> for which each natural number written with <math>n-1</math>'ones' and one 'seven' is prime.") (current)
- 11:15, 14 August 2011 (diff | hist) . . (-1) . . 2009 AMC 8 Problems/Problem 25
- 11:14, 14 August 2011 (diff | hist) . . (+2,627) . . N 2009 AMC 8 Problems/Problem 25 (Created page with "==Problem== A one-cubic-foot cube is cut into four pieces by three cuts parallel to the top face of the cube. The first cube is <math> \tfrac12 </math> foot from the top face. ...")
- 11:09, 14 August 2011 (diff | hist) . . (+830) . . N 2009 AMC 8 Problems/Problem 24 (Created page with "==Problem== The letters <math>A</math>, <math>B</math>, <math>C</math> and <math>D</math> represent digits. If <math> \begin{tabular}{ccc}&A&B\\ +&C&A\\ \hline &D&A\end{tabular...")
- 11:00, 14 August 2011 (diff | hist) . . (-176) . . 2010 AMC 8 (Blanked the page)
- 10:51, 14 August 2011 (diff | hist) . . (+13) . . 2010 AMC 10B Problems/Problem 23
- 10:51, 14 August 2011 (diff | hist) . . (+530) . . N 2010 AMC 10B Problems/Problem 23 (Created page with "The entries in a <math>3x3</math> array include all the digits from 1 through 9, arranged so that the entries in every row and column are in increasing order. How many such array...")
- 10:47, 14 August 2011 (diff | hist) . . (+747) . . N 2003 AMC 10B Problems/Problem 24 (Created page with "==Problem== The first four terms in an arithmetic sequence are <math>x+y</math>,<math>x-y</math> ,<math>xy</math> , and <math>\frac{x}{y}</math>, in that order. What is the fi...")
- 10:45, 14 August 2011 (diff | hist) . . (+288) . . 2003 AMC 10B Problems/Problem 23
- 10:44, 14 August 2011 (diff | hist) . . (+691) . . N 2003 AMC 10B Problems/Problem 23 (Created page with "A regular octagon <math> ABCDEFGH </math> has an area of one square unit. What is the area of the rectangle <math> ABEF </math>? <asy> unitsize(8mm); defaultpen(linewidth(.8pt)+...")
- 15:32, 8 August 2011 (diff | hist) . . (+140) . . N AoPS Wiki:Problem of the Day/August 8, 2011 (Created page with "What is the sum of the coefficients of the polynomial <math> f(x) </math>, where <math> f(x) = x^{1000000}+x^{998001}+.....+x^{4}+x </math>?") (current)
- 21:57, 2 August 2011 (diff | hist) . . (+507) . . N 2009 AMC 8 Problems/Problem 23 (Created page with "On the last day of school, Mrs. Wonderful gave jelly beans to her class. She gave each boy as many jelly beans as there were boys in the class. She gave each girl as many jelly b...")
- 20:42, 1 August 2011 (diff | hist) . . (+815) . . N 2009 AMC 8 Problems/Problem 3 (Created page with "The graph shows the constant rate at which Suzanna rides her bike. If she rides a total of a half an hour at the same speed, how many miles would she have ridden? <asy> import g...")
- 20:38, 1 August 2011 (diff | hist) . . (+315) . . N 2009 AMC 8 Problems/Problem 2 (Created page with "On average, for every 4 sports cars sold at the local dealership, 7 sedans are sold. The dealership predicts that it will sell 28 sports cars next month. How many sedans does it ...")
- 20:38, 1 August 2011 (diff | hist) . . (+301) . . N 2009 AMC 8 Problems/Problem 1 (Created page with "Bridget bought a bag of apples at the grocery store. She gave half of the apples to Ann. Then she gave Cassie 3 apples, keeping 4 apples for herself. How many apples did Bridget ...")
- 20:58, 28 July 2011 (diff | hist) . . (+528) . . N 2000 AMC 8 Problems/Problem 25 (Created page with "The area of rectangle <math>ABCD</math> is <math>72</math>. If point <math>A</math> and the midpoints of <math> \overline{BC} </math> and <math> \overline{CD} </math> are joined ...")
- 20:57, 28 July 2011 (diff | hist) . . (+412) . . N 2000 AMC 8 Problems/Problem 23 (Created page with "There is a list of seven numbers. The average of the first four numbers is <math>5</math>, and the average of the last four numbers is <math>8</math>. If the average of all seven...")
- 20:56, 28 July 2011 (diff | hist) . . (+544) . . N 2000 AMC 8 Problems/Problem 24 (Created page with "If <math> \angle A = 20^\circ </math> and <math> \angle AFG =\angle AGF </math>, then <math> \angle B+\angle D = </math> <asy> pair A,B,C,D,EE,F,G; A = (0,0); B = (9,4); C = (21...")
- 20:55, 28 July 2011 (diff | hist) . . (+703) . . N 2000 AMC 8 Problems/Problem 22 (Created page with "A cube has edge length <math>2</math>. Suppose that we glue a cube of edge length <math>1</math> on top of the big cube so that one of its faces rests entirely on the top face of...")
- 20:55, 28 July 2011 (diff | hist) . . (+288) . . N 2000 AMC 8 Problems/Problem 21 (Created page with "Keiko tosses one penny and Ephraim tosses two pennies. The probability that Ephraim gets the same number of heads that Keiko gets is <math> \text{(A)}\ \frac{1}{4}\qquad\text{(B...")
- 20:54, 28 July 2011 (diff | hist) . . (-5) . . 2000 AMC 8 Problems/Problem 20
- 20:53, 28 July 2011 (diff | hist) . . (+297) . . N 2000 AMC 8 Problems/Problem 20 (Created page with "You have nine coins: a collection of pennies, nickels, dimes, and quarters having a total value of <math> $1.02 </math>, with at least one coin of each type. How many dimes m...")
- 20:53, 28 July 2011 (diff | hist) . . (+575) . . N 2000 AMC 8 Problems/Problem 19 (Created page with "Three circular arcs of radius <math>5</math> units bound the region shown. Arcs <math>AB</math> and <math>AD</math> are quarter-circles, and arc <math>BCD</math> is a semicircle....")
- 20:51, 28 July 2011 (diff | hist) . . (+863) . . N 2000 AMC 8 Problems/Problem 18 (Created page with "Consider these two geoboard quadrilaterals. Which of the following statements is true? <asy> for (int a = 0; a < 5; ++a) { for (int b = 0; b < 5; ++b) { dot((a,b)); } } draw((0,...")
- 20:49, 28 July 2011 (diff | hist) . . (+340) . . N 2000 AMC 8 Problems/Problem 17 (Created page with "The operation <math> \otimes </math> is defined for all nonzero numbers by <math> a\otimes b =\frac{a^{2}}{b} </math>. Determine <math> [(1\otimes 2)\otimes 3]-[1\otimes (2\otime...")
- 20:48, 28 July 2011 (diff | hist) . . (+755) . . N 2000 AMC 8 Problems/Problem 15 (Created page with "Triangles <math> ABC </math>, <math>ABD</math>, and <math>EFG</math> are all equilateral. Points <math>D</math> and <math>G</math> are midpoints of <math> \overline{AC} </math> a...")
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