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

Here is Why You Need An Adapter

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

Mozambique

In Mozambique, outlets of type C, F and M are in use.

Type C

Type F

Type M

Cocos (Keeling) Islands

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

Type I