1

Please have a look to this sentence:

Nach dem Spiel wird Norbert klar, dass es sein letztes war.

My teacher marked letztes and said that Letztes is correct. Nevertheless, I think letztes is pointing to Spiel and therefore written in lowercase.

Who do you think is right?

4

To make it short: You are right, your teacher is wrong. Also your argument (it points to »Spiel«) is correct.

This is the official document for German orthography:
http://rechtschreibrat.ids-mannheim.de/download/regeln2006.pdf

Read § 58 on page 64.

One of the example sentences is:

Es waren neun Teilnehmer erschienen, auf den zehnten wartete man vergebens.

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