The following are some majors that I have compiled from the cross-examination online that don't take math exams:
China Language and Literature (Literary Linguistics and Chinese Literature)
history
philosophy
journalism
Communication research
Broadcasting and hosting
Interview editor (all journalism majors)
Management (business management, financial management, business administration, mathematics; Management depends on)
Library management science
Labor and social security
Tourism major (most of them don't need school exams)
industrial design
clothes design
Decoration design (depending on the school)
Landscape design (mainly by agricultural schools)
Art (vocal music, fine arts, sports)
Medicine (depending on the school)
Psychology (depending on the school, applied psychology needs statistics)
sociology
law
Biological science (depending on the school)
English (some schools have to take English for Science and Technology)
I hope these are useful to you.