xīwàng nǐ míngtiān de kǎoshì yíqiè shùnlì.

希望 means to hope or to wish.

In this sentence, the subject is omitted, which is very common in Chinese when it is obvious from context. So the full idea is:

（我）希望你明天的考试一切顺利。
= (I) hope your exam tomorrow goes smoothly in every way.

Chinese often leaves out 我 when it is easy to understand.

Because 明天 is describing 考试, not belonging to 你.

• 你明天的考试 = your exam tomorrow / the exam you have tomorrow
• 你的明天考试 sounds unnatural because it tries to put 明天 directly after 你的 as if tomorrow exam were one noun phrase in the same way as English.

A helpful way to see it is:

• 你 = you
• 明天的考试 = tomorrow’s exam / the exam tomorrow

So together:

你 + 明天的考试
= your exam tomorrow

的 links a modifier to a noun.

Here, 明天 modifies 考试:

• 明天 = tomorrow
• 考试 = exam
• 明天的考试 = tomorrow’s exam / the exam tomorrow

You can think of 的 as often working like ’s or of, though it does more than that in Chinese.

Other examples:

• 今天的作业 = today’s homework
• 昨天的会议 = yesterday’s meeting
• 重要的事情 = important matter / important thing

一切 means everything or all aspects.

So 一切顺利 means:

• everything goes smoothly
• all goes well
• smooth in every respect

This is a very common set phrase in wishes and formal or semi-formal expressions.

So the sentence is not just saying the exam is smooth in one narrow sense. It is wishing that everything connected with the exam goes well.

For example, it implies:

• you feel calm
• the questions are manageable
• there are no problems
• the whole experience goes smoothly

Because the meaning is slightly different.

• 很顺利 = very smooth / goes very smoothly
• 一切顺利 = everything goes smoothly / all goes well

In a good-wish sentence, 一切顺利 sounds more natural and idiomatic because it expresses a broad wish for the whole event.

Compare:

• 希望你明天的考试很顺利。
  This is understandable.
• 希望你明天的考试一切顺利。
  This sounds more like a standard, natural well-wish.

Yes, it is natural and correct.

It sounds like a polite and sincere well-wish. Native speakers might also say shorter or more common alternatives, such as:

• 希望你明天考试顺利。
• 祝你明天考试顺利。
• 祝你考试一切顺利。

A small nuance:

• 希望 = hope
• 祝 = wish

For direct well-wishes, 祝你……顺利 is often especially common.

This is because of tone sandhi.

一 is normally first tone: yī.
But when it comes before a fourth-tone syllable, it changes to second tone.

Since 切 is fourth tone (qiè), 一切 is pronounced:

yíqiè

This is a standard pronunciation rule.

Similarly:

• 一个 → yí ge
• 一次 → yícì

Yes. 希望 can be followed by:

• a noun phrase
• a verb phrase
• a full clause

Here it is followed by a clause-like structure:

希望你明天的考试一切顺利。

This is very normal in Chinese.

Other examples:

• 希望你喜欢。 = Hope you like it.
• 希望他早点回来。 = Hope he comes back early.
• 希望大家玩得开心。 = Hope everyone has fun.

Chinese often does not need an extra word like will when the time or intention is already clear from context.

Here, 明天 already tells you the event is in the future, and 希望 shows that this is a wish about what is going to happen.

So Chinese does not need something equivalent to:

• will go smoothly
• can go smoothly

The meaning is understood naturally from:

• 希望 = hope
• 明天 = tomorrow

In Chinese, nouns usually do not show articles the way English does.

So 考试 can mean:

• the exam
• an exam
• sometimes even exams, depending on context

In this sentence, because of 明天的 and the overall context, it most naturally means:

the exam tomorrow
or
your exam tomorrow

Chinese leaves some of this specificity to context instead of using a/an/the.

Yes, Chinese often allows some flexibility, but the nuance may change slightly.

For example:

• 希望你明天的考试一切顺利。
  = Hope your exam tomorrow goes well.
• 希望你明天考试一切顺利。
  Also natural. This is a bit more direct and slightly less noun-phrase-heavy.

Both are good. The version with 明天的考试 treats tomorrow’s exam as a clear noun phrase. The version 明天考试 feels a little more like when you take the exam tomorrow.

Yes.

• 顺利 means smoothly, without problems, going well
• 成功 means successful

For an exam, 顺利 focuses on the process and overall situation:

• no trouble
• no stress
• everything goes well

成功 would focus more on achieving success, but it is less commonly used directly with 考试 in this kind of wish.

More natural expressions are:

• 考试顺利 = may the exam go smoothly
• 考得好 = do well on the exam
• 取得好成绩 = get good results

So 顺利 is a very natural choice in this sentence.