You Do Need power plug adapter while traveling from Cocos (Keeling) Islands to Uruguay.

Here is Why You Need An Adapter

The outlet and plug type used in Uruguay are C, F and L and in Cocos (Keeling) Islands is I. This is how they look like.

Cocos (Keeling) Islands

In Cocos (Keeling) Islands, outlets of type I are in use.

Type I

Uruguay

In Uruguay, outlets of type C, F and L are in use.

Type C

Type F

Type L