Heb jij nog meer vragen?

Because this is a yes/no question in Dutch. In main-clause yes/no questions, Dutch usually puts the finite verb first.

• Statement: Jij hebt nog meer vragen. = You still have more questions.
• Question: Heb jij nog meer vragen? = Do you have any more questions?

So the verb hebben moves to the front.

This is a very common point of confusion.

With jij, the verb often looks different depending on word order:

• Jij hebt = you have
• Heb jij? = do you have?

So when jij comes after the verb, as it does here in a question, you usually get heb instead of hebt.

Compare:

• Jij hebt een vraag.
• Heb jij een vraag?

This is a specific pattern with jij in inversion.

Both mean you in informal Dutch.

• jij is the stressed/emphatic form
• je is the unstressed, more neutral form

So:

• Heb jij nog meer vragen?
• Heb je nog meer vragen?

Both are correct. In everyday speech, Heb je nog meer vragen? is often more common unless you want to emphasize you.

For example, Heb jij nog meer vragen? can sound like:

• Do you have any more questions?
  with a bit of extra focus on you.

Nog meer means something like more, any more, or additional depending on context.

• meer = more
• nog adds the idea of still / yet / in addition

So nog meer vragen means:

• more questions
• any more questions
• additional questions

In this sentence, the most natural English translation is usually Do you have any more questions?

Yes, you can, but the nuance changes a little.

• Heb jij nog meer vragen? = Do you have any more questions? / Do you still have more questions?
• Heb jij meer vragen? = Do you have more questions?

With nog, it often sounds like there were already some questions before, and now you are asking whether there are additional ones.

Without nog, it can sound more neutral or more context-dependent.

Because Dutch normally places the noun after words that modify it.

Here the structure is:

• nog meer = modifiers
• vragen = noun

So:

• nog meer vragen = more questions

That word order is normal in Dutch. You can think of it as parallel to English more questions, except Dutch adds nog for the extra sense of any more / still more.

Because vragen is a plural noun used in a general, indefinite way.

Dutch often has no article in cases like this, just as English can say:

• Do you have questions?
• Do you have more questions?

So nog meer vragen is perfectly natural without de or een.

It is informal, because it uses jij.

If you want to be formal or polite, you would usually say:

• Heeft u nog meer vragen?

That is what you might hear in a shop, at a doctor’s office, or in customer service.

So:

• Heb jij nog meer vragen? = informal
• Heeft u nog meer vragen? = formal/polite

Not necessarily better, but often more neutral in everyday speech.

• Heb je nog meer vragen? sounds natural and common.
• Heb jij nog meer vragen? sounds a bit more emphatic.

You might use jij if:

• you are contrasting one person with another
• you want to stress who you are talking to
• your intonation naturally emphasizes you

For example:

• Ik heb geen vragen. Heb jij nog meer vragen?
  I don’t have any questions. Do you have any more questions?

A rough pronunciation is:

heb yai nokh mayr VRAA-ghən

A few notes:

• heb: short e, like in bed
• jij: roughly like yai
• nog: the g is the Dutch guttural sound, especially in the Netherlands
• meer: like mayr
• vragen: VRAA-ghən, with the stress on the first syllable

The exact sound of g depends on region. In Belgium it is often softer than in much of the Netherlands.

It is very often used in exactly that kind of context.

For example, a teacher, doctor, cashier, or presenter might ask:

• Heb jij nog meer vragen?
• Heb je nog meer vragen?
• Heeft u nog meer vragen?

It does not have to mean deep or serious questions. It can simply mean:

• Anything else you want to ask?

So it is a very common practical phrase.

Yes, but it means something slightly different.

• Heb jij nog meer vragen? = Do you have any more questions?
  This is directed at one specific person.
• Zijn er nog meer vragen? = Are there any more questions?
  This is more general, often said to a group.

So if a teacher asks the whole class, Zijn er nog meer vragen? is very natural. If the teacher speaks to one student, Heb jij nog meer vragen? is more direct.

Here is the structure:

• Heb = finite verb, from hebben (to have)
• jij = subject (you, informal, stressed)
• nog meer = modifier phrase (any more / additional)
• vragen = noun (questions)

So the pattern is:

Verb + subject + rest

That is the normal pattern for a Dutch yes/no question.