I don't mind answering the questions at all.
Well, the test that our 9 yr old daughter took was set by the school itself. She was in Yr 5 in NZ when we left, had her 9th birthday in April, so in Singapore she'll be equivalent to Pri 3...next year she'll be in Pri 4.
Although the whole process was quite taxing it is still easier than our 14 yr old that has to sit a test set by MOE to go to a Secondary School/ High School here!!
Initially I rang about 3 Primary schools within our district but the school that she'll be going to was recommended by one of the residents at our
condo...they were in the same shoes as us but were from the United States.
Priorities of admissions will always be given to Citizens first, then PR's then others depending on the availability of space at the school for your childs level.
As you are aware, if there are/is availabilty of space for your child at the school of choice, he will have to sit an entrance test, which in our case our daughter was tested on English, Science and Maths. Just be prepared for it as we only got 2 weeks notice before we knew about the test. In most cases the schooling here is more academic than NZ; although some schools now are heading towards to the more holistic approach. There are books available for your child to revise on at most good bookstore. It all sounds quite daunting but once you're on the system, you'll be fine. It is not for the faint heart. I am more than happy to help any way I can but best word of advice is to enjoy the calm before the storm, you'll need the energy. I have research literally hundreds of hours about the schooling before I came back to Singapore for our children but unless you are physically here, it is not the same. I can give you some names of schools around the East area that has quite a few expat children...we were initially heading towards that way but because of the lack of accomodations that suit our likings/ budget we are in the North area now, its all good. Again all the best with the move and I am more than happy to help.
Cheers : )