FORM OF VERB

I wonder if I am right with the forms of verb in these following sentences:
I am writing a passage about a lecture last week. My teacher told us something.
I write like this
He requested that each student (chose) a topic by next Monday.
He suggested that the papers (were) typed.

But, sometimes I think they could be "choose,be typed" instead of "chose, were typed".
Anyone could correct them for me.
Thank in advance.

I agree with you on both suggestions.

So, using "chose,were typed" is not corret.
And with the context like that, we have to use the form "choose,be typed" all the time?

Yes.

Thank you so much!!!
When I wrote those sentences, I knew I're wrong and I have been asking my 3 friends who major in English. But they gave me the wrong answers. They always tell me to use the Simple Past tense.

That's why we're here.

MikeNewYork said:

That's why we're here.

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I love you guys so much!!

Tell them it is called the 'subjunctive mood'.
http://grammarist.com/grammar/subjunctive-mood/

I would definitely use "choose" and "be". (BrE speaker, aged 65)

bangdtbk said:

... I have been asking my three friends who major in English, but they gave me the wrong answers. They always tell me to use the simple past tense.

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They must have been British English speakers. They are not the wrong answers.

Rover_KE said:

They must have been British English speakers. They are not the wrong answers.

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Are they not wrong, because this content make any sense?

Polyester said:

Are they not wrong, because this content make any sense?

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I don't understand your question. Do you mean "Are they not wrong because this context does/doesn't make sense?"?

They're not wrong because, as you can see, people from different regions and of different ages make different choices. As is frequently the case in English, there is no single right answer.

Like bhaisahab, I would use "choose" and "be". (BrE, age 46).