A plurality of small packages, each for approximately a day's supply of tampons, are provided in an outer carrier box. The tampons in the small packages may be provided in a single row, and may be individually adhered to the bottom of the package. Each small package may be tapered to facilitate insertion of the individual package into a small space, such as a pocket, for discrete storage or carrying. The individual package may be formed with an inner box covered by an outer sleeve movable, like a flap, from the inner box to permit ready access to the contents of the inner box. A closure is provided that is resistant to inadvertent opening. The closure may be specifically configured for a tapered end of a tapered package. The closure may conceal the engaging elements thereof from view to inhibit inadvertent opening of the closure. If desired, a feedback feature, such as an auditory or tactile cue, may be provided by the closure to cue the user that the closure is securely closing the package.