Itamar Tzadok

Insofar as what you want is a question type that is a mere placeholder for a manual mark and as such invisible in the quiz attempt, it is probably fairly unusual to the standard Moodle quiz. While someone may have implemented such question type, afaict nothing of that sort has been contributed. You can always commission the development of qtype plugin that does what you need, and your particular requirement should be fairly simple and low cost to develop.

You can try by the question id and css. Look it up with the browser inspector when previewing the quiz and then add to the question in html mode something like

<style type="text/css">#the-question-id{display:none;}</style>

This should hide the whole question. If you specify the selector as

#page-mod-quiz-attempt #the-question-id

the css would be active only in a quiz attempt.

You can use a cloze question for that. When editing the question, switch to html mode and enter something like <div style="display:none;">{:SA:=mygraph}</div>. The question will appear empty in the quiz. You can also add a note in the question to inform students that the question is deliberately empty. The question will be marked automatically as incorrect but you will override that grade anyway. hth

Any course manager/teacher should be able to move topics with dnd when ajax is enabled site wide and for course editing (two separate settings in site admin -> appearance -> AJAX and js. hth

The Dataform can be set up to allow pupils to add entries such that they can see only their own entries and activity/course managers can see all entries with or without the author's name, and send a notification on a newly added entry to a designated recepient either by email address or moodle messaging (which could be set up to send the notification to the recepient email). If you would like to give it a try, let me know and I can help you with the set up of the activity.