The usual Internet speed test is written in Flash. Is there an HTML one that works with iPad and iPhone?
ISPGeeks.com has a non-flash java based bandwidth tester. It pretty accurately measured the speed of my iPad on my home connection, as compared to similar tests on the usual Flash-based sites.
SpeedTest.net has an iPad/iPhone/iPod app.
It use html5 and works without flash.
You can also see your bandwidth graph which is interesting.
dslreports.com is my go-to resource for carrier/network info and diagnostics. Free membership, no spam, genuine user generated content, reviews, and support all are part. The "tools" section is very robust.