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Good Problems

Every week a new challenging problem about Bengt and his friends.

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Good Problems | goodproblems.blogspot.com Reviews
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Every week a new challenging problem about Bengt and his friends.
<META>
KEYWORDS
1 good problems
2 the two oracles
3 with base b
4 1 and b
5 prime numbers
6 and the third
7 hexagonal grid
8 3d grid
9 higher dimensions
10 two in one encryption
CONTENT
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good problems,the two oracles,with base b,1 and b,prime numbers,and the third,hexagonal grid,3d grid,higher dimensions,two in one encryption,prove / disprove,file numbering,travelling salesman,counterexample,1 and n,tt t,tf f,ft f,ff f,s •,which means
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Good Problems | goodproblems.blogspot.com Reviews

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Every week a new challenging problem about Bengt and his friends.

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1

Good Problems: Maximum Enjoyment of the Cinema

http://goodproblems.blogspot.com/2014/09/maximum-enjoyment-of-cinema.html

Every week a new challenging problem about Bengt and his friends. Maximum Enjoyment of the Cinema. Imagine everyone thinks like Bengt. What numbers of seats per row would be the most suitable? What if the seats would be in a circle, like. some sort of circus, or something? If you're up for it, try to extend the problem to two dimensions. Or more, why not. For now, I have disabled comments, so as not to spoil the fun by showing any solutions. I will probably put up a page later to give credit to those...

2

Good Problems: A Simple Board Game

http://goodproblems.blogspot.com/2011/07/simple-board-game_07.html

Every week a new challenging problem about Bengt and his friends. A Simple Board Game. Bengt is in the mood for designing a game. But his imagination is not at its best. He was up late last night, and. well, never mind that. He's making a rather simple board game, one of those where you roll a die and walk along a path. As soon as you reach (or pass) the finish line, you win. The game is played with a special k. Sided die. Just to be completely clear, the die shows each integer from 1 to k. If so, how?

3

Good Problems: Misunderstanding Maths

http://goodproblems.blogspot.com/2012/03/misunderstanding-maths_09.html

Every week a new challenging problem about Bengt and his friends. Bengt and Alban are doing some calculations. Actually, Alban is doing some sort of homework, and Bengt is playing around with his calculator. Bengt tries to draw a graph, of sin. But he has done something terribly wrong. The curve he gets looks a lot like k. 8776; 0.841470985. This calculator is stupid." says Bengt. I think it's probably you who's made a mistake." replies Alban. But when I look at them, it seems that only a fraction f.

4

Good Problems: Hole Puncher of Horrors

http://goodproblems.blogspot.com/2012/03/hole-puncher-of-horrors_02.html

Every week a new challenging problem about Bengt and his friends. Hole Puncher of Horrors. Bengt is building a machine. It is a most unusual kind of hole puncher. It consists of a holder for the papers, and a rather nasty-looking wheel with n. At which angle on the wheel, relative to the downward angle, should the holder be located? Are some choices of n. Obviously more would be better, but aside from that? Hole Puncher of Horrors.

5

Good Problems: The Roundest of Numbers

http://goodproblems.blogspot.com/2015/01/the-roundest-of-numbers.html

Every week a new challenging problem about Bengt and his friends. The Roundest of Numbers. Bengt is planning to build a. patio, I guess? Anyway, he's designing a pattern made of little square stones in a square grid. Some of the stones are in a darker colour, and Bengt wants to make those into a (filled) circle. Clearly, he can only make an approximation of a circle, much like on a computer screen. But how many dark stones should he buy? And the second definition? Can you find a good general method for c...

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Every week a new challenging problem about Bengt and his friends. Not quite content with the risk, the king decides to get a second opinion. He goes to ask another oracle. She works the same way - always giving correct probabilities. This oracle says that the probability is 90%. The king thinks that sounds a lot better, but now he's confused - what probability should he expect after hearing both oracles? The fifth says: "I think the oracles both know the outcome of the war, they just speak in probabiliti...

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