Based on previous dates, I'd assume this years test will be on October 19 and 20.
Every year the exam is scheduled for mid-October on the weekend. The DOE will announce the exact date as we get closer to October. There are now two primary exam dates for the 8th grade SHSAT. You get to choose the day and whether to take it in the morning or around noon. There is also a third date make-up date for test takers who become ill on test day.