You Do Need power plug adapter while traveling from Kazakhstan to United Kingdom (UK).

Here is Why You Need An Adapter

The outlet and plug type used in United Kingdom (UK) is G and in Kazakhstan are C and F. This is how they look like.

Kazakhstan

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

Type C

Type F

United Kingdom (UK)

In United Kingdom (UK), outlets of type G are in use.

Type G