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

Here is Why You Need An Adapter

The outlet and plug type used in North Cyprus is G 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

North Cyprus

In North Cyprus, outlets of type G are in use.

Type G