what affordable, small,has lots of gb and is perfect for11 year olds

Hi there.  I have done some research and found some great laptops.  Please take a look at the ones I have found for you.  The Dell Latitude 2100 Laptop Computer is a great little computer.  This is a build your own system.  You can add the specifics you want. 

Now if you don't want to build your own, there is the HD Mini.  This comes in two colors.  The 11 year old will quickly get around and get more things done.  Browsing the web faster.  It will allow fast searches and stay connected while in public hotspots. 

The last one is a Gateway.  This is a great little laptop.  Has a HD LED-backlit display.  It's got an Intel proccessor.  It is reliable.  You will be able to check emails, communicate with friends, share phots and listen to music. 

Hope this helps you find the perfect laptop for an 11 year old.  Thanks for your question.