Make a backup copy of your home directory in /var/tmp using the tar command. Then further compress the file using gzip or bzip2. Make it a clean tarred file, one that doesn't make a mess when unpacking.
Format a floppy and put some files from your home directory on it. Switch floppies with another trainee and recover his/her floppy in your home directory.
DOS format the floppy. Use the mtools to put and delete files on it.
What happens to an unformatted floppy when you want to mount it into the file system?
If you have any USB storage, try to put a file on it.
Using rsync, make a copy of your home directory to another local or remote file system.