iPhone Applications?

I was just wondering, I’m in Canada and I purchased an iPhone without a data plan and I downloaded the following applications: BubbleWrap, Bubbles, and Labyrinth LE from iTunes for free. Since I don’t have the data plan, it will cost me huge amounts to access the internet on my iPhone, which is fine because I don’t use it for the internet anyway, but I was wondering if any of the applications I listed above require internet access not using Wi-Fi?