The present study attempts to expand current question categorization schemes to identify question types that discriminate good learners from their peers in collaborative problem-solving groups. The study also explores the effects of person and task variables on students' question-asking behaviors in an effort to identify those that facilitate mathematics problem solving. Forty-seven fifth graders from two independent urban schools that use cooperative-learning methods participated in the study. Students were asked to solve fraction problems in one set containing continuous problems and in another set consisting of discrete problems. A question-categorization scheme was devised to code student requests to each other for information or assistance. No significant differences were found in the numbers of questions asked by students of high, low, or average ability. Although this appears contradictory to some previous results, it may be that including question types that were not exclusively help seeking explains the discrepancy. Overall, results indicate that type of task interacts with student characteristics and the setting to affect performance and students' peer-directed questions. Prior experience with cooperative-learning groups appears to have affected problem-solving and questioning performance. Two figures present study findings. (Contains 73 references.) (SLD)