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Tim has many sets of dice in his collection. There are some that he is not quite sure how they are designed to work he calls these his 'problem dice' and here are some of them!

First, a hexagonal prism, where each of the six sides has the numbers 1 to 6 on it. However on each face the numbers are in a different order, and a different colour. What game is this dice designed to work with?

From Japan, a pair of very unusual dice. Are they even dice? Maybe made from rubber, they are almost like gear wheels, with 5 'cogs', which are not of equal thickness. One cog has a little arrow on it, the others are labelled 2, 3 4 and 5. Tim shows the package, so maybe someone who understands Japanese can enlighten us?

From Germany, the Blitz Rechner, which means 'lightning calculator'. It consists of a set of 5 dice of different colours, and there is a 3 digit number on every face. The idea is that, however the dice are arranged you could roll them or shake them you have five 3 digit numbers on the top faces of the five dice, and if you know the trick you can add up those five numbers very fast like lightning! provided you know the trick. So these dice are only a 'problem' for other people, but not for you, because you know the trick!

A yoyo that has a large dice (or die as there is only one) at the end of the string. This one is a problem Tim has not worked it out yet!

Finally, from the Gathering for Gardner in 2018, a set of 8 dice, called 'Magic Cubes', designed by Jerry Farrell. You need to arrange them in a 2x2x2 cube, in such a way that the numbers add up to 12 in every direction. Tim has had these for six years now, and still has not solved it. More problem dice!