Originally Posted by Ariana:
I had a similar child and it was due to possible ADHD and anxiety. I found directing him to specific activities and having the day planned helped him a lot. I also made a picture schedule. So when he is annoying you just say “ok thank you, now go play with the X” or get him to clean something up and do little jobs. The kid I had LOVED being outside and loved shovelling, so we would go out every day and I gave him shovelling tasks in the winter and digging, planting tasks in the summer. He was like a border collie, he needed to work 
I've also had a couple of similar kiddos , one ADHD and the other on the spectrum but high functioning. I used to have them run laps or do jumping jacks (Of course made a game of it all.) when they got crazy. It really helped a lot.