1. Would you like to travel to the North Pole? - Северный полюс с артиклем
2.When did you visit North America? - со словом when только Past Simple
3.New York is one of the most important cities in the world. - мн. число - чередование гласных y-i
4."You must do it today," the teacher told him. - глагол to tell - бtз частицы to
5. It's the most worst film I have ever seen. - bad - превосходная степень
6. Have you ever seen this film? - ever - Рresent Perfect
7.He has just invited me to go there. - just - Рresent Perfect
8. Nobody has heard the news. - nobody - ед. число - has
9. I am sure you won't tell David secrets. - двойное отрицание, второй раз no не нужно
10. I shan't (won't) be able to go to the cinema tomorrow. I will (можно: shall) meet my friend at the airport. - can в будущем времени - заменяем на эквивалент - to be able to