A plastic preform is provided that includes a hollow body portion including a closed bottom portion, a lower portion extending upwardly from the bottom portion, and a neck portion extending upwardly from the lower portion. The neck portion includes a support flange having an upper and lower surface, a tamper-evident formation, threads, and a dispensing opening positioned at a top of the neck portion. In an embodiment, the weight of the neck portion is 2.3 grams or less; and/or the vertical distance from the top of the dispensing opening to the lower surface of the support flange, including the threads and the tamper-evident formation, is 0.500 inches or less. Containers and methods for molding preforms and making containers are also disclosed.