Translation of "Tutor" in Japanese

My tutor scolded me for my stupid behavior.

家庭教師の先生は私が馬鹿なことをしたと叱った。

He spent the rest of his life in exile,  becoming tutor, while he was in Vienna,  

彼は残りの人生を亡命し、ウィーンにいる間、

I recently started teaching at a cram school. Mainly I tutor maths and English to students individually.

最近塾の講師を始めた。主に数学と英語の個別指導をしている。