Ответ:

1. I have arranged for a babysitter to look after our children so we can go out.

• look after - присматривать;

2. Mrs. Rodgers was turned down for the position of office manager because she didn't have any computer skills.

• turn down - отклонить;

3. James, who loves extreme sports, has taken up mountain biking.

• take up - заняться;

4. A: Do you know when the wheel was invented?

    B: No, but we can always look it up in encyclopedia.

• look up  - искать информацию;

5. Poor boy had been waiting for three hours, but she never turned up.

• turn up - приходить;

6. I hope you didn’t run out of energy with all those trips you have been going on.

• run out of - заканчиваться;

7. Lily and I have always got on well with each other.

• get on well with - ладить;

8. We wanted to keep our engagement as a secret, but Pauline’s friend has a big mouth and she just gave it away.

• give away - разглашать;

9. Every teen sometimes wishes to get out of his house and party all night.

• get out of - выбраться;

10. Do you know what time the plane to Dubai takes off?

• take off - вылетать;