I. Choose the right word. Entry test, 10th form 1. I'll have to complete this work for/during a week. 2. This will be a very important meeting. I ask you all to come in/on time.…

Конечно! Вот подробное решение по каждому из заданий:

I. Выберите правильное слово

1. I'll have to complete this work within (в течение) a week.
   (Правильный вариант: within — обозначает "в течение определенного времени".)

2. This will be a very important meeting. I ask you all to come on time.
   (Правильный вариант: on — указывается "приехать вовремя".)

3. A few years passed and at the end they met again.
   (Правильный вариант: at — употребляется с "end".)

4. I'm so glad that you've come on time to help the patient.
   (Правильный вариант: on — тоже "вовремя".)

5. The reader finds the truth only at the end of the book.
   (Правильный вариант: at — употребляется с "end".)

6. Don't worry, you can book the tickets now and pay for them later.
   (Правильный вариант: later — означает "позже", "после".)

7. We need an idea that can unite us.
   (Правильный вариант: unite — "объединить".)

8. World War II brought about a lot of historic changes in Europe.
   (Правильный вариант: historic — "исторические".)

9. Bob swims like a real sportsman.
   (Правильный вариант: like — "как".)

10. If you've got a large family, it's more economical to travel by car than by train.
    (Правильный вариант: economical — "экономичнее"; by car и by train — "на автомобиле" и "на поезде".)

11. One of Britain's most notorious criminals escaped from prison.
    (Правильный вариант: notorious — "одно из самых известных/плохо известных".)

12. Does Russia import a lot of timber?
    (Правильный вариант: timber — "лесоматериалы".)

II. Используйте необходимые фразовые глаголы

(to pick, to cut, to put, to speak)

1. We must cut down this dry tree.
2. I think Alec hates me: he is constantly speaking on me. (Лучше: talking about — более естественно, но в рамках заданий — по смыслу: speak on или talk about.)
3. The young men were asked to put out their cigarettes.
4. I won't accept "no" for an answer. I simply can't give up such a decision.
5. Could you speak up, please? We can't hear at the back.
6. Why did all his friends cut off a close relationship with John?
7. All the pictures were wonderful. It was so difficult to pick out the best.
8. Peel the tops off the carrots before cooking them. (Здесь правильнее использовать глагол peel, так как речь о очистке (шкурке). В списке глаголов его нет, но в задании подразумевалось действие "очистить", так что лучше оставить "peel".)

III. Используйте пассивный залог (Passive Voice)

1. I'm afraid boss is not available at the moment: he is being interviewed.
2. This piece of advice was given to me many years ago.
3. Do you know when his new book will be published?
4. Don had a feeling that his new idea was met with hostility.
5. We can't get into the house, the key to the door has been lost.
6. The papers must be handed in today.

IV. Переведите предложения

1. Едва лишь автомобиль остановился, к нему подошли двое полицейских.
   As soon as the car stopped, two police officers approached.

Если хотите, я могу подготовить более точный и развернутый перевод, или же помочь с другим заданием!