Past simple:

Did she play chess well? Who did she play chess with?How well did she play chess?

Present simple:

Does she play chess well? How often does she play chess? Why does she play chess well?

Future simple:

Will she play chess well in the future?Who will she play chess with? How well will she play chess?

Past progressive:

Was she playing chess well?How long was she playing chess for? What was she doing while playing chess?

Present progressive:

Is she playing chess well?Who is she playing chess with?Why is she playing chess well?

Future progressive:

Will she be playing chess well?How long will she be playing chess for?Who will she be playing chess with?

Past perfect:

Had she played chess well before? Why had she played chess well?Who had she played chess with previously?

Present perfect:

Has she played chess well lately?How many times has she played chess well?Why has she played chess well?

Future perfect:

Will she have played chess well by then?How many games of chess will she have played well?Who will she have played chess with?