Here (is, are) the missing papers.
are (Papers is plural)
John, my roommate, has a test today.
AP (appositive)
Reading a good book is relaxing.
Gerund, Subject
Whoever reads directions saves time.
S
Hailey and Ellie (wants, want) to stay up late.
want (compound sub. joined by and takes the plural verb)
The dog fetched the ball.
DO
His goal was to read ten pages.
infinitive, PN
We will be thankful for whatever help you can give.
OP
The news about the recent event (is, are) all over the internet.
is (news is singular)
After his nap, Cason ate snack.
OP (object of preposition)
His task, studying for the test, required great dedication.
gerund, AP
Mathematics and science are what he will be teaching this fall.
PN
Dramatics (is, are) a course offered during the junior year.
is (Dramatics is referring to course of study, so singular)
She was given a prize for her great work.
RO (retained object)
David has done all the work except bag the leaves.
infinitive, OP
In a few minutes, the storm destroyed what had taken years to build.
DO
Neither the girls nor Mom (has, have) gone to the fair.
has (compound S joined by nor/or agrees with nearer S)
The teacher chose Jim the captain.
OC (objective complement)
Cause me to hear thy lovingkindness in the morning.
Infinitive, DO
The suggestion that we study for the test seems valid.
AP