The Chinese (invented/have invented) paper.
invented (simple past--historical fact)
This is the third piece of cake that you (ate/have eaten) today.
have eaten (present perfect--from past until present)
She (died/has died) four months ago.
died (simple past--completed action, finished time period)
My notebook isn’t here anymore. Someone (took/has taken) it.
has taken (present perfect--recent past action affecting/related to present)
The car industry (suffered/has suffered) huge losses since the factory workers began their strike.
has suffered (present perfect--from past until present)
They (finished/had finished) eating dinner by the time I got home.
had finished (past perfect--past even completed before a second past event)
How many times ___ to this CD today? a. were you listening b. had you listened c. have you listened d. do you listen
c. have you listened present perfect--from past until present
He can’t drive us today because he (lost) his car keys.
has lost (present perfect--recent past action affecting/related to past)
He is said to catch the train for Chicago at seven yesterday morning, but nobody knows of his wherebouts now.
catch → have caught (past perfect--reported speech of completed past action)
When I was in high school, I had often wished to be taller.
had often wished → often wished (simple past--completed action, finished time period)