# Problems

## Logic puzzles, riddles, & maths problems

##### Problem #056 β tennis tournament

How many matches does it take to find the winner of a tennis tournament?

##### Problem #054 β imperfect compression

Can you show that perfect compression is impossible?

##### Problem #052 β chessboard domino

Can you tile a chessboard with two missing squares?

##### Problem #051 β queens and knights

How many queens and knights can you place on a chessboard?

##### Problem #050 β 8 queens

In how many ways can you place 8 queens on a chessboard?

##### Problem #048 β trick or treat

Can you help these kids trick or treat their entire neighbourhood in this Halloween special?

##### Problem #043 β Rubik's cube scrambling

If I scramble a Rubik's cube for long enough, will it solve itself?

##### Problem #040 β the dozen puzzle

Three friends are given three different numbers that add up to a dozen. Can you figure out everyone's numbers?

##### Problem #035 β unknown coin sides

This is an algorithmic puzzle where you just have to turn some coins.

##### Problem #033 - syncro

Syncro is a beautiful game where you have to unite all the petals in a single flower. In how many moves can you do it?

##### Problem #032 - restaurant roundtable

A waiter at a restaurant gets a group's order completely wrong. Can you turn the table to get two or more orders right?

##### Problem #031 - piped ants

A bunch of ants are left inside a very, very, tight tube, and they keep colliding with each other and turning around. How long will it take them to escape?

##### Problem #029 - hidden key 2 ποΈποΈ

This problem is a step up from Problem #028 - hidden key. Can you tackle this one?

##### Problem #028 - hidden key ποΈ

There is a key hidden in one of three boxes and each box has a coin on top of it. Can you use the coins to let your friend know where the key is hiding?

##### Problem #026 - counting squares

I bet you have seen one of those Facebook publications where you have a grid and you have to count the number of squares the grid contains, and then you jump to the comment section and virtually no one agrees on what the correct answer should be... Let's settle this once and for all!

##### Problem #017 β shuffle me around

There's 100 drawers and 100 shuffled balls. Can you find the one I choose?

##### Problem #014 β the sum of the parts

Split the numbers 0, 1, ..., 15 into two sets with sum interesting properties!