The California Psychological Inventory (CPI) was administered to 54 exceptionally gifted (either high IQ's or high math science abilities) preadolescents and their parents. The profiles and factor structure of the 18 CPI scales were examined. The profiles of the parents were relatively even, suggesting that they are intellectually and socially effective. The Achievement via Independence scores were particularly high. The preadolescents' profiles were generally lower than the parents', with very low average scores on the Well Being scale and high scores on the Flexibility scale. Five factors were extracted from the scores of each group. Factor scores reflected several differences between exceptionally high IQ subjects and exceptionally high math-science subjects such as on the Poise factor. (Author/DB)