I left out these sentences. Thank you.

1) I hope the weather will be nice/good.
I hope to have luck with the weather.
If there is heavy rain, I'll have to wear walking boots. I also have a wind breaker in my rucksack in case it will rain.
2) All the boys and girls who will take part in the challenge (all the participating boys and girs), will have to wear a yellow T-shirt with the competion's sponsor on it.

1. All is OK except that last verb. " ... in case it rains."

2. OK -- except I don't understand the last 6 words. Why are they wearing the competition's logo? Why not their own logo?

You're welcome! Here are the explanations for the missing sentences:

1) "I hope the weather will be nice/good. I hope to have luck with the weather. If there is heavy rain, I'll have to wear walking boots. I also have a wind breaker in my rucksack in case it will rain."

To express your hope for good weather, you can say "I hope the weather will be nice/good." This is a simple expression of your desire for favorable weather.

If you want to convey the idea of relying on luck for good weather, you can say "I hope to have luck with the weather." This implies that you are relying on chance or fortune for the weather to be favorable.

In case there is heavy rain, you mention wearing walking boots. This suggests that you will need sturdy footwear to protect yourself from the rain and keep your feet dry.

You also mention having a windbreaker in your rucksack in case it will rain. This implies that you have come prepared with a lightweight jacket or coat to shield yourself from the rain and wind if needed.

2) "All the boys and girls who will take part in the challenge (all the participating boys and girls), will have to wear a yellow T-shirt with the competition's sponsor on it."

This sentence states that all the boys and girls who are participating in the challenge must wear a yellow T-shirt with the competition's sponsor logo on it.

The phrase "All the boys and girls who will take part in the challenge" means that anyone who is participating in the challenge, regardless of their gender, is required to wear the specified T-shirt.

The parenthetical addition "all the participating boys and girls" clarifies and reinforces the idea that it applies to everyone who is involved in the challenge.

The sentence concludes by emphasizing that the T-shirt should have the sponsor's logo, indicating that it serves as a form of advertisement or identification for the event.