What can you find out by playing around with multiplying and dividing?

problem
Highest and lowest
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

problem
Zios and Zepts
On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

problem
This Pied Piper of Hamelin
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
