I'd get a simple backpack of survivalist items from cornucopia then run like hell for about 15 minutes into the woods. I'd fashion a bow out of a supple, short fallen sapling using a vine of appropriate length and width in place of string if I didn't get a bow from corn. My entire strategy would be climbing the highest tree, shooting birds out of the sky for food as well as hunting with a knife that was presumably in the small backpack,
Not to be a cliché "Katniss" since I actually do own a full set of archery equipment and use it regularly in the summer when I'm not at college, but archery really would be my saving grace in the hunger games.