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Going shopping for school supplies can be quite a task ... even for Arnold Schwarzenegger and Maria Shriver's son Patrick Schwarzenegger.

While riding around a Staples store in a red shopping cart, the 17-year-old aspiring model looked exhausted while his mom chatted away on her cell phone. Whew ... good thing Maria is a strong woman!

Patrick Tweeted the above photo and the following: "Back to school shopping. I'm to tired so @mariashriver is pushing me around."

The teen has visited Harvard, Stanford, USC, Penn State and Georgetown, but he has yet to decide which University to attend.