removing a game then re-adding and saving game

[plymman]

Hi Folks,

This is probably a simple question but I have a few apps that top out at1gb like infinity blade, Fifa 12 etc.. and I need to free some space up so I can put some movies on for when the kids go on a long trip.

If I remove the games through iTunes, then add them again once the holiday is over, will my save games still be intact or will I need to start again?

Thanks

 

[plymman]

Any advice at all? I've read lots about trying to transfer saves to different devices but what about just removing and re adding it to the same device and still keeping your game progress?