I ask students to grade their fellow group members in the hope of becoming aware of unequal participation. Students invariably prefer group portions to the testing, even though the results do not seem to be significantly different that the individual portions. I sometimes give a problem on the individual portion that had already appeared on the earlier group portion, at least in part. Or an individual problem may focus on one aspect of a larger group problem. I think this encourages learning to take place during the exam.
Quizzes have both a group portion and an individual portion.
Students appreciate group quizzes and testing. I have yet to decide a set method to group quizzing and testing. If a particular class does the majority of their class work in groups I feel testing should have a group portion. The weight of each of these I am still investigating to my own satisfaction. At the same time I feel it is necessary to evaluate individual performance.