Do managers in both small and large companies perform similar types a activities

It would be the same but if the large company does have large amount of employees they would have to set objectives and organizes the employees it would be harder to be the manager of a large on less they have more managers.

The manager of the larger company's manager might have more to do because of the size of the company, but I believe that they would do most of the same tasks. Think of it like this: Would a Dollar General manager do more than a Microsoft manager?