Link your Master card at Qantas Shopping, you can earn Qantas point for shopping at Participating stores.
This is good way to earn Qantas points with out having Qantas Credit Card. You can add any Master Card and earn points.
For details See link: https://shopping.qantas.com/card-offers
Current Offers:
Skip - 100 points for 5 dollars spend
David Jones - 200 Points for 30 dollars spend
Dymocks - 240 points for 30 dollars spend
Caltex - 100 points for 45 dollars spend
Message on website: Link your Australian Mastercard® to unlock exclusive bonus points offers from over 120+ partners
FYI the earning of points is limited to the weekly "offers", which require minimum spend per transaction at specific businesses. It's not for earning points on any/all your MC transactions.
Each weekly offer has it's own T&Cs, and they seem to be limited to a one time claim per offer. E.g 200 points for 1 qualifying transaction per offer only; Not 200 points for each qualifying transaction in the same offer.
If you were however going to spend at those businesses anyway, the points earn seems to be better than the standard 1-2 points per $.
Edit:
Each offer must be activated before purchase. You can apparently also activate offers via the Qantas Money phone app
28 Degrees CC is an accepted card