Upper second-class honor in Pure mathematics. is it possible to get into M.Phil?

I have just finished my bachelor degree with honours in Australia. While being sad of not getting first class honours, i am wondering how good/bad is a 2.1 honours degree in Pure mathematics. My honours supervisor suggests me to take something like a Research by master then i can proceed to PHD.

Is it possible to get into M.Phil in Pure mathematics? (In some good university.)