put *something on

place *someone in charge of / assign / give *someone charge of / allot

list / nominate / register

call on a pupil to answer a question

direct a letter to / address a letter to / write to

direct a letter to / address a letter to / write to

hit [the mark]

hit the target / be on target / hit [the mark]

draw a winning number / draw a prize / win a prize in a lottery