How do past tense verbs work in Arabic?

Past tense verbs work exactly like present tense verbs only with a different set of modifications to show the subject of the verb:
 

فعلتُ I did
فعلتَ You (masculine singular) did
فعلتِYou (feminine singular) did
فعل He did
فعلَت She did
فعلنا We did
فعلتم You (masculine or mixed group plural) did
فعلتنّ You (feminine plural) did
فعلوا They (masculine or mixed group plural) did
فعلنّ They (feminine plural) did