I came across this website today, which might be of use to anyone practicing and preparing for the LITUK test.
It describes itself as "a free website offering you original study materials for the exam and checklists covering important parts of the book."
The study materials relate to the "Life In The United Kingdon: A Journey To Citizenship" book.
There is a link to a Citizenship section which includes reading material and practice tests. It also has the reading material in audio form, for you to listen to as well as read