I've found websites with the mp3s of the listening section of the JLPT, but none with good quality (i.e. visible) scans of the listening test itself, which seems rather essential for practising.

Does anyone know where/whether these are available online?

I usually use this:
http://www.ngoilaibennhau.net/jatest/index_4.php

It's not scans, but I think it has what you need (the pictures, diagrams, etc). Haven't been there in a while, but I've got it bookmarked, so I must have thought it worthwhile at some point in time :/

Hi Asriel, thats great - thanks! It only goes to 2006 but still really useful.

Hi again - does anyone know where you can get transcripts of the audio?

From the 2010 JLPT thread- bottom of page 4: http://forum.koohii.com/showthread.php?tid=5371&page=4

There is a link to a chinese site with listening for the July 2010 N1/N2/N3 (direct link: http://bbs.neworldjp.com/dispbbs.asp?boa...3&id=73699 )

You have to register for the site and then post in the thread with whatever it is you want to download before you can download it (use google translate- it works so much better with Chinese than Japanese). I downloaded N1 and N2 and have listened to N2- it's the whole listening test.