For Pakistan, captain Fatima Sana and Nashra Sandhu scored 11 runs each, while Rameen Shamim added 15. No other player managed to reach double figures.
At one time, Australia were in deep trouble as their seven players were sent back to the pavilion at just 76 runs.
But thanks to centurion Beth Mooney, Australia were able to score 221.
Pakistan won the toss and elected to bowl first against the defending champions.
