Her London teammate and fellow Bay of Plenty kayaker Mike Dawson also had a great result in Tacen, clocking his best finish of the season in 16th.
Dawson was just 4.94secs behind top qualifier, Australian Lucien Delfour, a result which lifts him to 15th overall after four world cups.
The 26-year-old finished 29th in the Cardiff world cup, 24th in Augsburg (Germany) and 27th in Spain, before breaking through into the top 20 in Slovenia. The series finale is in Slovakia next week, with the world championships in the Czech Republic in September.
Jones says she's making big strides under British coach Campbell Walsh. She finished 35th in Cardiff and 28th in Augsburg, before skipping the round in Spain to embed changes in her technique.
"The training with Campbell is definitely paying off. It's taken some time to learn the things he is teaching me but it is coming together and I just need to be patient."