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coin play

Posted on: January 29th, 2014 by
1

A large bag of coins is emptied on the floor such that no two coins overlap each other.
1. A child randomly selects a coin on the floor.
2. If the coin is heads, the child turns it over to show tails.
3. If the coin is tails, the child flips the coin in the air and likr before, doesn't overlap another.
4. He then goes to #1
After this process runs for a long time, comment of the the proportion of heads and tails in the room.

- via Quora


The image tells the answer

Posted on: January 28th, 2014 by
1

Look at the image below and write the answer.
Period


Hat puzzle

Posted on: January 27th, 2014 by
Comments Disabled

5 girls stand in a circle. Each girl wears a red hat or a blue hat. Each girl is blind-folded and is told the hat color of the two people adjacent to her on the circle. The five girls need to come up with a strategy to guess their hat colors simultaneously. Is it possible?

- via Australian Mathematical Society Gazette puzzle corner


Average speed

Posted on: January 26th, 2014 by
5

Suppose a bicycle's average speed in any 10 minute interval is 18 miles per hour. How much distance will the bicycle travel in 25 minutes?

- via Australian Mathematical society Gazette puzzle corner


Number operations

Posted on: January 25th, 2014 by
1

Suppose you are playing with fractions 1,1/2,1/3,.... 1/100. At each step, you take two of the fractions x,y and replace them by a function f(x,y). You keep repeating this process until only one number remains. What are all the possible values that the remaining number can take if f(a,b)=ab+a+b? Can you solve the puzzle again if f(a,b)=ab/(a+b)?

- via Australian mathematical society puzzle corner 34


meta puzzle

Posted on: January 24th, 2014 by
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What does this mean? "meta meta meta meta".

- via Gpuzzles


Solve

Posted on: January 23rd, 2014 by
1

Solve for integers x, y: 19x^3-84y^2=1984.

- via Russian Math Olympiad practice problems


Cut a square

Posted on: January 22nd, 2014 by
Comments Disabled

Can you cut a square into 8 acute angled triangles?

- via Russian Math Olympiad practice problems


Hitori

Posted on: January 21st, 2014 by
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Try a game of Hitori.

The object of Hitori is to eliminate cells in the grid until there are no duplicates in any row or column. To eliminate a cell, it must be turned black by clicking on it. You must do this, however, without placing any black cells next to each other on a side (touching diagonally is ok) or by placing black cells in such a way that any white cells on the board are cut off from the rest of the white cells. You can also mark cells in this game as circled by clicking a second time or right clicking. This is just for your own visual reference as these cells count as white cells. This can be useful as the game progresses to visually mark the cells you know cannot be black. When you think you have solved the puzzle, click 'Check'..Good Luck! If you would like some hints on how to get started, be sure to check out the 'Strategy Hints' link below.

Click here to play!


Racing in an escalator

Posted on: January 20th, 2014 by
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You race your friend in an escalator. Normally, you can climb 2 steps in the time it takes your friend to climb one. Suppose you reach the top of the escalator in 30 steps and your friend reaches the top in 20 steps. How many steps are visible on the escalator?

- via Mind your decisions



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