Full blood count (check red blood, white blood etc) - normal blood test, group B strep (GBS) (check for bacteria) - cotton swab in your vagina, membrane sweep (to induce labour) - insert finger into your vagina and up through the cervix and lastly, dilation check when closer to labour date (how many cm dilated) - putting fingers in your vagina.
Not sure if I missed any but do Google to read more. Some might not be tested for membrane sweep and/or dilation check. It depends on your situation at that period of time, then gynae will determine accordingly.