Sure! Here are the completed exercises:

**Exercise 1: Fill in the blanks with a, an, some or any.**
1. Have you got **any** potatoes?
2. I’d like **some** bread, and **a** piece of cheese, please.
3. For breakfast, I have **a** ham sandwich and **some** orange juice.
4. Here are **some** cereals, but there isn’t **any** milk.
5. Would you like **some** beer or would you prefer **a** bottle of Coke?

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**Exercise 2: Fill in each blank with the correct word: How much or How many.**
1. **How many** bottles of orange juice have you had today?
2. **How many** hamburgers did he eat?
3. **How much** cream would you like in your coffee?
4. **How many** potatoes are there in the basket?
5. **How much** rice can I put in the soup?

Feel free to ask if you need any further assistance!