Here is a very nice presentation and the webinar video shared by Andy Mann which shows the question type abilities of Moodle and how to use the Drag and Drop Markers, Drag and Drop into Image, Drag and Drop into Text, Pattern Match, Gapfill & OU Multiple Response types of questions.
Here is the embedded presentation and this one is the direct link to the presentation.
The webinar video also shares these question types in details. The video is embedded below and this one is the direct link.
If you have more tips about extending the question type abilities of Moodle then please share in the comments.