User contributions for Oscarlevin

8 November 2014

• 20:1620:16, 8 November 2014 diff hist +116‎ Help:Contents ‎No edit summary
• 20:1420:14, 8 November 2014 diff hist −5‎ MediaWiki:Sidebar ‎ Undo revision 1336 by Oscarlevin (talk)
• 20:1020:10, 8 November 2014 diff hist +5‎ MediaWiki:Sidebar ‎No edit summary
• 20:0420:04, 8 November 2014 diff hist −1,430‎ User talk:Oscarlevin ‎ →‎Link current

2 September 2013

• 13:5813:58, 2 September 2013 diff hist +307‎ N Draft:Bpow52 ‎ Created page with "Put all the positive integers into a Christmas basket. Reach into the basket and pull one out. Write down the number and return it to the basket. Repeat this process until you..." current
• 13:5513:55, 2 September 2013 diff hist +1,055‎ N Draft:Bpow51 ‎ Created page with "Yesterday I watched a group of kids play a game at the park with a Frisbee -- a flying disk. As best I could tell, these were the rules to their game: One of them, the King, ..." current
• 13:5413:54, 2 September 2013 diff hist +421‎ N Draft:Bpow50 ‎ Created page with "The following problem was suggested by Al Zimmermann. Many Thanks! A mathematics professor and four mathematics students are in a square room, 10 feet on a side. The four stu..." current
• 13:5213:52, 2 September 2013 diff hist +860‎ N Draft:Bpow49 ‎ Created page with "The following problem was suggested by Alexander Freuman. Many Thanks! Several years ago, three suitors from three countries were vying for the hand of a lovely maiden. They ..." current
• 13:5113:51, 2 September 2013 diff hist +12‎ Draft:Bpow48 ‎No edit summary current
• 13:5013:50, 2 September 2013 diff hist +187‎ N Draft:Bpow48 ‎ Created page with "Here's a curiosity: <m>(30 + 25)^2 = 3025</m> What other occurrences of this are there? For the more steely spined: Are there any such occurrences with numbers of more than..."
• 13:4813:48, 2 September 2013 diff hist +584‎ N Draft:Bpow46 ‎ Created page with "This problem was suggested by Bill Evans. Thanks, Bill. The captain of a luxury cruise ship wants to install windshield wipers on the portholes of the ship. The straight wipe..." current
• 13:4613:46, 2 September 2013 diff hist +570‎ N Draft:Bpow45 ‎ Created page with "Cover the squares of a 6 x 6 checkerboard with dominoes. Notice that in the example on the right, there is a way for you to cut the board and avoid cutting a domino, in fact,..." current
• 13:4213:42, 2 September 2013 diff hist +1,077‎ N Draft:Bpow44 ‎ Created page with "Take a deck of 52 playing cards consecutively numbered from 1 to 52. A perfect shuffle occurs when you divide the deck in two, one half in each hand, and riffle them together ..." current
• 13:4013:40, 2 September 2013 diff hist +1,111‎ N Draft:Bpow43 ‎ Created page with "This problem is courtesy of Mary Jane Sterling. Muchas Gracias. A band of pirates buried their treasure on an island. They chose a spot to bury it in the following manner. Al..." current
• 13:3913:39, 2 September 2013 diff hist +637‎ N Draft:Bpow41 ‎ Created page with "Look at the graph of <m>y = x^n</m>, with n > 1, in the first quadrant. Let P the point on the graph at distance s from the origin and Q the point with coordinates (s,0). The ..." current
• 08:1808:18, 2 September 2013 diff hist −25‎ Draft:Bpow39 ‎No edit summary current
• 08:1708:17, 2 September 2013 diff hist +477‎ N Draft:Bpow39 ‎ Created page with "A priest and a pirate are shipwrecked on an island with a boat which is large enough to carry only one of them to the mainland. They decide to let Lady Luck decide which one o..."
• 08:1608:16, 2 September 2013 diff hist +605‎ N Draft:Bpow37 ‎ Created page with "This last weekend I saw an amazing thing: a bicycle with square wheels! More amazingly, it was being ridden very smoothly, with the rider suffering no awkward up or down motio..." current
• 08:1308:13, 2 September 2013 diff hist +309‎ N Draft:Bpow36 ‎ Created page with "A 7 foot ladder is leaning against a wall and just resting on a box which is 1 foot on a side. See figure. Precisely how high up the wall is the ladder sitting, assuming it is..." current
• 08:1208:12, 2 September 2013 diff hist +563‎ N Draft:Bpow35 ‎ Created page with "I have a d-digit positive integer where *each digit from 1 to d appears exactly once, and in which *each digit (except for the leftmost) differs from one further to the lef..." current
• 08:1108:11, 2 September 2013 diff hist +890‎ N Draft:Bpow34 ‎ Created page with "A mutiny takes place on the pirate ship "The Teutonic". Wanting to punish the mutineers and regain control of the ship, the captain puts the disloyal crew members off on diffe..." current
• 08:0208:02, 2 September 2013 diff hist +240‎ N Draft:Bpow33 ‎ Created page with "Pick 1998 points at random in the plane. Suppose no three of them lie on a line (which would be true if they were chosen truly at random). Is there always a line in the plane ..." current
• 08:0108:01, 2 September 2013 diff hist +15‎ m Draft:Bpow32 ‎No edit summary current
• 08:0108:01, 2 September 2013 diff hist +8‎ Draft:Bpow32 ‎No edit summary
• 07:5907:59, 2 September 2013 diff hist +454‎ N Draft:Bpow32 ‎ Created page with "The following problem was suggested by John Haverhals. Many thanks. You may recall that a real number is called rational if it can be written as a fraction with integers in b..."
• 07:5807:58, 2 September 2013 diff hist +224‎ N Draft:Bpow31 ‎ Created page with "What is the smallest positive integer with the property that if the digit on the extreme right (i.e. the one's digit) is moved to the extreme left, the resulting number is one..." current
• 07:5707:57, 2 September 2013 diff hist +1,209‎ N Draft:Bpow30 ‎ Created page with "Many thanks to Mary Jane Sterling for bringing this problem to my attention. In the British Museum an ancient document was discovered bearing the following instructions, pres..." current
• 07:5607:56, 2 September 2013 diff hist +10‎ Draft:Bpow29 ‎No edit summary
• 07:5607:56, 2 September 2013 diff hist −6‎ Draft:Bpow29 ‎No edit summary
• 07:5607:56, 2 September 2013 diff hist +170‎ N Draft:Bpow29 ‎ Created page with "A fly sits on the corner of a solid wooden cube. What is the shortest distance it must travel in order to reach the opposite corner of the cube? {{Bpow}} {{Future MCP}}"
• 07:5307:53, 2 September 2013 diff hist +483‎ N Draft:Bpow28 ‎ Created page with "This past weekend I installed a new bi-fold door on a closet in the attic. The door consists of two panels, each one foot wide, hinged together in the middle. One side of one ..." current
• 07:5307:53, 2 September 2013 diff hist +245‎ N Draft:Bpow26 ‎ Created page with "This week's problem was submitted by Bradley instructor Bill Evans. Thanks, Bill! During each hour of the day there is a time when the minute hand and the hour hand of the cl..." current

1 September 2013

• 09:4609:46, 1 September 2013 diff hist −49‎ Draft:Bpow27 ‎No edit summary current
• 09:4509:45, 1 September 2013 diff hist +389‎ N Draft:Bpow27 ‎ Created page with "A triomino is an arrangement of three squares with a "corner" as sketched below -- note that the figure may be rotated through any multiple of 90 degrees _____ | | |..."
• 09:3709:37, 1 September 2013 diff hist +257‎ N Draft:Bpow1997-25 ‎ Created page with "This week's problem was submitted by Laura Wente, President of the Bradley University Chapter of the MAA. Suppose that n is a positive integer and that 2n + 1 is the square o..." current
• 09:3609:36, 1 September 2013 diff hist +236‎ N Draft:Bpow1997-23 ‎ Created page with "Let f(x) be a smooth (twice differentiable is good enough) function which is concave downward on the closed interval [a,b]. At which point(s) in the interval is the area betwe..." current
• 09:3309:33, 1 September 2013 diff hist +348‎ N Draft:Bpow1997-20 ‎ Created page with "This week's problem was provided (as penance) by Dr. Mike McAsey. Muchas Gracias Miguel! Consider all quadratic equations of the form <m>x^2 + px + q = 0</m> where the coef..." current
• 09:3209:32, 1 September 2013 diff hist +207‎ N Draft:Bpow1997-19 ‎ Created page with "Find a ten digit integer, N, with the property that the one's digit of N is the number of 9's in N, the ten's digit is the number of 8's, and so on, with the leading digit bei..." current
• 09:3109:31, 1 September 2013 diff hist +870‎ N Draft:Bpow1997-18 ‎ Created page with "One of the American states runs lottery in which players select five numbers from between 1 and 32 (inclusive). Each player may choose the numbers of their own liking or allow..." current
• 09:3009:30, 1 September 2013 diff hist +696‎ N Draft:Bpow1997-16 ‎ Created page with "This week's problem was submitted by Dr Libin Mou of the Bradley University Mathematics Department. T Original Problem: You have 12 Ping Pong balls. One of them is bad, which..." current
• 09:2809:28, 1 September 2013 diff hist +438‎ N Draft:Bpow1997-15 ‎ Created page with "Is it possible to label each of the edges of a regular cube (see figure below) with distinct positive integers (i.e. > 0) in such a way that: (a) the sum of the integers ass..." current
• 09:2709:27, 1 September 2013 diff hist +1,142‎ N Draft:Bpow1997-14 ‎ Created page with "An ant is crawling at a rate of one foot per minute along a strip of rubber which can be infinitely and uniformly stretched. The strip is initially one yard long and one inch ..." current
• 09:2609:26, 1 September 2013 diff hist +369‎ N Draft:Bpow1997-13 ‎ Created page with "You have a sheet of legal paper of size 8" by 13", having a surface area of 104 square inches, and seven standard sized 3" by 5" index cards, which together have a surface are..." current
• 09:2509:25, 1 September 2013 diff hist +494‎ N Draft:Bpow1997-12 ‎ Created page with "This week's problem was submitted by Professor Bill Evans. Thanks, Bill! At a cocktail party you are given a glass filled with your host's special secret cocktail. Unfortunat..." current
• 09:2409:24, 1 September 2013 diff hist +479‎ N Draft:Bpow1997-11 ‎ Created page with "A gambler has in his pocket a fair coin and a two-headed coin. He pulls one of the coins at random from his pocket and, when he flips it, it shows heads. (a) What is the proba..." current
• 09:2209:22, 1 September 2013 diff hist +540‎ N Draft:Bpow1997-10 ‎ Created page with "Consecutive primes are often far apart. In fact, show there are arbitrarily long sequences of consecutive non-prime integers. (Not only are consecutive primes often far apar..." current
• 09:2109:21, 1 September 2013 diff hist +248‎ N Draft:Bpow1997-9 ‎ Created page with "Consider the arrangement of four circles shown below. If the radius of the smaller blue circle is r, what is the radius of the larger red circles? Note: The larger red circles..." current
• 09:1909:19, 1 September 2013 diff hist +645‎ N Draft:Bpow1997-8 ‎ Created page with "Let S be a semicircle of radius R contained in the first quadrant and with center at (R,0). We define a function f from the positive reals to itself by the following procedure..." current
• 09:1709:17, 1 September 2013 diff hist +11‎ m Draft:Bpow1997-7 ‎No edit summary current
• 09:1709:17, 1 September 2013 diff hist +842‎ N Draft:Bpow1997-7 ‎ Created page with "As spring approaches, many people put up birdhouses for wild birds -- thereby initiating the annual round of ``Squirrel Wars.'' Seasoned veterans of these wars have learned to..."