This Speed Tester is a simple and lightweight speed test app, which measures and displays your Internet connection's up and download bandwidth. No flash required. It's based on HTML5.
You can also test the Facebook CDN speed.

Click the "Start" button and then the speed test will automatically run and figure out what your broadband speed is for both download and upload. The check will start by downloading a file and will measure your download speed. Once the download has finished, the broadband speed test will try to upload a file and will measure your upload speed.

It's extremely fast and doesn't distract you with unnecessary features and settings.
Supports Chrome, IE10+, Firefox, Safari... 
Supports connect with Google Drive. you can also open this app from Google Drive. Check your internet upload, download speed.