raishuu no shiken no tame ni, konshuu wa mainichi ganbarimasu.

I will try hard every day this week for next week’s exam.

Breakdown of raishuu no shiken no tame ni, konshuu wa mainichi ganbarimasu.

• は: topic particle
• の: possessive case particle
• 毎日まいにち: every day
• ため に: for (the sake of)

Questions & Answers about raishuu no shiken no tame ni, konshuu wa mainichi ganbarimasu.

Why are there two の in 来週の試験のために?

They are doing two different jobs:

• 来週の試験 = next week’s exam
  Here, の connects 来週 and 試験.

• 試験のために = for the exam / for the sake of the exam
  Here, の connects the noun 試験 to the grammar pattern ために.

So the whole chunk means something like:

• 来週の試験 = the exam next week
• 来週の試験のために = for next week’s exam

What does ために mean here?

In this sentence, ために means for, for the sake of, or for the purpose of.

So:

• 来週の試験のために = for next week’s exam

It shows the reason or goal behind the action in the second part of the sentence:

• 今週は毎日頑張ります = I’ll work hard every day this week

Together, the idea is:

• For next week’s exam, I’ll work hard every day this week.

Why is it 試験のために and not just 試験にために?

Because when ために follows a noun, the usual pattern is:

• noun + のために

So:

• 試験のために = for the exam
• 家族のために = for my family
• 将来のために = for the future

You do not say 試験にために.