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Mathematics has been perceived as a discipline centered on intellectuality. However, recent studies have found interaction between a variety of emotions and the quality of learning. This qualitative study focused on the characteristics of those who are willing to cope with mathematical challenges and on the emotions evoked by these challenges, and sought to evaluate the potential role of positive emotions in this context. The research was conducted among participants in the Israel International Math Competition for Girls (IIMCG). The participants were 12 of the top finalist competitors in the previous competitions. Research instruments included an in-depth interview and a Math Emotions Measuring Instrument (MEMI), measuring the emotions expressed while coping with the mathematical challenges. Major results indicated the intensity of positive emotions. The positivity ratio was 4:1. Among those emotions, determination and curiosity were dominant, stressing the importance of the motivational factor. The findings indicate the importance of positive emotions and their ability to broaden the thought repertoire and encourage creativity.