Не did not know that the boss had not signed the contract last week.
I am not sure, if I leave/will leave Liberia next week.
Did he say that he was writing a letter yesterday at five?
We decided that we would agree to their proposals.
I heard that you will telephone our partners in London next Monday.
We understood at once that the work is/was/would be a difficult one.
When we came to the airport, the plane had already landed.
"Поставьте глаголы в скобках в соответствующую форму" - не понятно, что имеют в виду под "соответствующей" формой. В некоторых случаях возможны несколько "соответствующих" форм.