This year hasn't been quite as bad as previous ones but we've still had our share of whines. It's the thing I dread the most about summer. Bored kids whining and begging for me to entertain them.
I don't have the answer, but I have figured out a clever response. When my kids whine, "I'm bored!" I respond by handing them a book and saying, "Un-bore yourself!" If that doesn't work I offer to give them cleaning tasks in oder to help them un-bore themselves. They've never taken me up on that one. ;-)