Remember that the verb before the Infinitive Construction must be in Simple Past. The first sentence is given as an example. On our first day in London, our guide (tell us / what / do) in London.
She (show us / where / catch) the nearest bus or underground.
We also (learn / how / buy) tickets for the London underground.
On our second day, we (not know / whether / go) on a sight-seeing tour.
We (ask our guide / where / get) tickets for the sight-seeing tours.
She (explain / where / find) the tour guides and (how much / pay) for a sight-seeing tour.
On the sight-seeing tour we (find out / how / hop off and on the busses to see as much of London as possible.We soon (know / which bus / wait for) at the stop.
We only (wonder / what / visit) first.​

1. all historical places of london are in the west end.   (present simple, to be)

все места лондона находятся в вест-энде.

2. recently bbc experts have invented a new system that lets the deaf understand television   programmes.   (present perfect, to invent)

недавно эксперты би-би-си изобрели новую систему, которая позволяет глухим понимать телевизионные программы.

3. the student will begin to work as an apprentice to a trained worker next week.   (future simple, to begin)

на следующей неделе студент начнет работать подмастерьем профессионала.

4. in three months he will have been here for a year.   (future perfect, to be)

через три месяца он будет здесь уже год.

5. in 1620 a ship named the “mayflower”, brought 120 englishmen to the rocky coast of america.   (past simple, to bring)

в 1620 году корабль под названием "мэйфлауэр" 120 к скалистому побережью америки.