My iPad does not rotate

Is there a lock symbol at the top of the screen next to the battery indicator ? If there is, then depending on what you've got Settings > General > Use Side Switch To set to (rotation lock or mute notifications), then you can lock/unlock the rotation by the switch on the right hand side of the iPad above the volume switch, or via the taskbar : double-click the home button; slide from the left; and it's the icon far left; press home again to exit the taskbar. The function that isn't on the side switch is set via the taskbar instead : http://support.apple.com/kb/HT4085

If there isn't a lock symbol then try a reset : press and hold both the sleep and home buttons for about 10 to 15 seconds (ignore the red slider), after which the Apple logo should appear - you won't lose any content, it's the iPad equivalent of a reboot.

I have the same issue but no rotate padlock in the control settings when I bring it up. I have tried the reboot but still locked.

Is there a padlock at the top of the screen next to the battery indicator, and what do you have Settings > General > Use Side Switch To ? If you have that set to 'Lock Rotation' then you use the switch on the side of your iPad (just above the volume control) to turn rotation lock off and on ; if you are using the switch on the side of the iPad to control 'Mute' then you should have a rottion icon in Contol Centre if your iPad is on iOS 7 :

Sorted :-)