How many sheep can you place on a field, so that none can be attacked by the simple-minded wolf? What if there's more than one wolf?

Every journey has its costs and its rewards. Can you complete this one without any debt?

In how many ways can you draw a star using all the vertices of a polygon, without lifting your pencil from the paper? Are there some polygons for which it's not possible?

Fold a long strip of paper in half several times. Can you see a pattern in the creases formed along the length of the paper? What sorts of route do we trace if we use the creases to direct our turns along a path?