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Ok, let's break down the grammar exercise and then I'll help you with the speaking part.

Grammar Exercise (a):

The question asks which sentence expresses plans for the future or intentions/ambitions for the future. Both sentences use "going to" to talk about the future.

• "He's going to apply for work at a summer camp during his summer holidays." - This sentence expresses an intention or a plan for the future.
• "Ann's going to travel abroad next month." - This sentence also expresses a plan for the future.

Speaking Exercise (b):

Imagine Lucy and her family are planning a trip. Here’s an example of how you might describe their plans to your group:

"Lucy's family is going to visit several places this summer. First, they are going to fly to Paris and see the Eiffel Tower. Then, they are going to take a train to Rome and visit the Colosseum. After that, they are going to relax on the beaches of Greece for a week. Finally, they are going to return home. Lucy is very excited about this trip!"

Translation:

"Семья Люси собирается посетить несколько мест этим летом. Сначала они полетят в Париж и увидят Эйфелеву башню. Затем они поедут на поезде в Рим и посетят Колизей. После этого они собираются отдохнуть на пляжах Греции в течение недели. Наконец, они вернутся домой. Люси очень взволнована этой поездкой!"