My district is looking into LanSchool. We use it on our Mac & PC desktops, and have played around with the Chromebook version. We are currently piloting it in an elementary school, middle school, and high school. When exploring it, it gave the option to limit the websites students could visit (to limit students to just your quiz, use the quiz URL up to the quiz number but not beyond it, as the first page on the quiz and the page that appears once you hit "Start Quiz" have different URLs--see below for an example of what to use), you can direct students to a particular site; you can freeze computers with a message to look up to the board; you can share teacher and student screens, etc.
https://districtname.instructure.com/courses/#######/quizzes/####### <-- Stop after the quiz #
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