Introduction: This study examined the predictive value of four learning-related emotions--Enjoyment, Anxiety, Boredom and Hopelessness for achievement outcomes in the first year of study at university. Method: We used a large sample (N = 2337) of first year university students enrolled over three consecutive academic years in a mathematics and statistics course, from an undergraduate Economics and an International Business degree programs. Results: We first showed significant differences in the emotional experiences between the students who attended, and those who were absent from the final exam. Second, the present study found emotions to have a strong predictive value for student exam scores, particularly for learning hopelessness and a prior mathematics background. This relationship was consistent over three consecutive academic years. Discussion and Conclusion: Recommendations for improving educational practice have been formulated and are shared in this article.