And perhaps a group exercise? Key if this happens, is to make yourself heard, without taking over the group to aggressively (unless you need to be able to do this in your job!) without talking across others, or directing people, although again, how to behave depends on what role it is, this kind of exercise will demonstrate your position in a group, are you a leader, do you have good listening skills, are you good at negotiator, do you have good mediation skills that kind of thing, so make sure you assert whatever the features are of the job you are applying for.
Depending on the job, maybe a presentation, you might be give half hour to prepare for it, then deliver it. simple really, need a beginning (what I am going to be presenting) the middle (this is my material) and a conclusion (this is what I did, and is summed up in xyz). any questions.
Maybe a written exam, or computer skills test? What type of role is it? admin? legal professional?