Universities in the UK are divided into two main categories: public universities and private universities. But there are no government owned Universities unlike other countries.
Depending on the University of your choice your tuition fee will roughly fall between 8000 to 40000 GBP per annum. Among courses Science and Medical studies are the most expensive ones.
The estimated tuition fee per annum depending upon your requirement is,
(US educational institutions require a minimum IELTS score of 5 to 6.5+ band depending on the institution of choice)