Which modal verb is used to give somebody permission to do something?

What modal verb can be used in the following sentence?

That bag looks heavy. ... I carry it for you?

Guess the missing word in the following sentence.

I decided to take ... in the young talents competition.

Which answer contains an incorrect preposition?

Complete the sentence with the correct adjective form.

This is (scary) ... film I've ever seen!

Fill in the gaps with the correct verb forms.

... he (try) ... to apologise to her yesterday?

Which verb form isn't used in the past simple tense?

Which verb form is correct?

My family and I (not, spend) ... Christmas together this year.