I'd be looking for a tutor in graduate mathematics, and particularly the subjects that I can most readily apply to my work.
In Sydney I don't think there'd be that many available, and it would take time to find the right 'fit'. I don't think you can assume that once a reasonable rate is settled that the partnership would be a success.
A private tutor in graduate-level mathematics, with emphasis on subjects that can be applied to your work - what a great idea!
Like the sibling comment suggested, I imagine there must be an over-qualified and under-paid talent pool around universities, with enough candidates for you to select a suitable tutor.
In Sydney I don't think there'd be that many available, and it would take time to find the right 'fit'. I don't think you can assume that once a reasonable rate is settled that the partnership would be a success.