A method and apparatus for preparing a single serving of a frozen slurry beverage in a disposable drink container or cup by preparing a supply of fine frozen particles of water in the form of ice flakes and/or ice nuggets of compressed ice flakes, depositing a predetermined quantity or amount of the fine frozen particles of partially frozen water into a disposable single serving drinking cup or container, dispensing or adding a predetermined quantity or amount of flavored liquid beverage mix into the disposable single serving drinking cup or container and blending the fine frozen particles of partially frozen water and the flavored liquid beverage mix into a substantially uniform frozen slurry beverage of a predetermined consistency.