Jastremska whipped in her heavy forehand as a reliable winning weapon in the 30-degree heat as she knocked out 19-year-old Noskova, who knocked out world number one Iga Swiatek, to be the youngest player left in the tournament.
46 years ago, qualifier Christine Dorey made it to the semi-finals in Melbourne.
Ranking step from 93 to 29
- It's nice to write history because I wasn't born at that time.
It's time for the new generation to make history and I'm so happy and tired, says 23-year-old Jastremska, ranked 93rd and currently 29th in the live ranking.
Noskova failed to follow up the victory against Swiatek and had difficulty with timing in the heat.
- I didn't manage to find the right focus from the beginning.
She got the initiative and then did not let go of the lead and was in control the whole time, said the Czech Noskova who will rise from 50th to 30th in the rankings.