Recent findings (Beflock & Carr, 2005) have demonstrated that only individuals with a high working memory capacity (WMC) ``choke under pressure'' on math problems with high working memory demands. This suggests that performance pressure hinders those who are the most qualified to succeed, because it consumes the WMC they usually rely on to achieve superior performance. This puts into question the use of performance in high-pressure situations as a means of distinguishing individuals with lesser or greater WMC potentials. While addressing several limitations of past research, we offer evidence that such choking (1) occurs only in individuals with high WMC, because of their anxiety-ridden perceptions of high-stakes situations, and (2) is not confined to tasks involving acquired skills and knowledge, but encompasses fluid reasoning abilities or intelligence (Gf). These findings have strong implications for assessments of people's intellectual capacities in academic, clinical, work, and research settings.