1Heat oven to 350°F. Stir Bisquick mix and milk until soft dough forms. Place dough on surface dusted with Bisquick mix; gently roll in Bisquick mix to coat. Shape into ball; knead 10 times.
2Shape dough into 30 one-inch balls. Roll 15 balls into 15 six-inch ropes to make broomstick handles. Place on ungreased cookie sheet. Pat remaining balls onto 1 end of each broomstick handle. Dip fork into Bisquick mix; press fork firmly on balls to make bristles.
3Brush egg over dough. Sprinkle cheese over dough bristles. Bake 10 to 15 minutes or until light golden brown. Serve warm.