Show has three verb conjugations altogether: show, showed, and shown/showed (depending on UK/American English). Shown is the past participle of show.
‘She sprang out of bed’, is the past tense. ‘She’d sprung out of bed and scraped her knee when she hit the floor,’ uses the participle, sprung.
Swore is the simple past tense, whereas sworn is the past participle form of the present tense verb, swear.
The past tense of grow is grew. The past participle is grown, as in, ‘They have grown so much since we last saw them!’
The past tense of sew is sewed. The past participle is either sewed or sewn (sewn being preferred in UK English).
To shoot has one past tense and participle form, both of which are shot. Shoot is an irregular verb with two forms altogether.
Burst is an irregular verb with one form. Like other irregular verbs (set, cut, hurt, and shut), burst does not change its form to reflect tense.
Split is an irregular verb with one form and does not change despite tense.
Hurt is the same in the present, past and past participle form of the verb. It’s an irregular verb with one verb form.
Cut is an irregular verb that has one form for the present, past and past participle. Cutting is the present participle, and cuts is the third-person singular.