1) Will he post this letter now?

  He wont post this letter now

 Он отправит это письмо сейчас

2) Shall i stick a stamp on the postcard?

   I shant stick a stamp on the postcard.

Я наклею марку на открытку

3) Shall i be free at 5 oclock?

I shant be free at 5 oclock

Я должен быть не занят в 5 часов

4) Will he write to his acquaintance tomorrow?

He wont write to his acquaintance tomorrow.

Завтра он напишет своему знакомому

5) Shall we listen to the concert tonight?

We shant listen to the concert tonight.

Мы должны слушать концерт сегодня ночью.

6)Shall i arrive in moscow in the morning?

I shan't arrive in Moscow in the morning.

Я должен прибыть в Москву утром.

7)Will she have dinner at 2 o'clock?

She won't have dinner at 2 o'clock.

У неё будет обед в два часа.

8)Will they be at home today?

They won't be at home today.

Они будут дома сегодня.

(Небольшая справочка на всякий случай)

Won't=will not

Shan't=shall not