Leon,
The only way that your iPad would have used your wireless data is if you dowloaded an operating system update, or a large bunch of applications. iOS 6 came out last week and is 600 MB in size. These updates occur once a year to 18 months.
I would suspect that your router was unsecured and someone's been using it.
When you transfer files from your computer to your iPad, they do not use your wireless data. You typically sync files when you're connected to your computer via a USB cable -- has nothing to do with your Internet connection.
H
|