I actually work in this area for my Local Council.
If your child is starting Primary School (Reception Class), it is national policy that Key Stage 1 (Reception, Year 1 and Year 2) are taught in classes no larger than 30 children per teacher.
I have sat through numerous appeals for places in these year groups and unless you can prove any of the following points then you have virtually no chance of being successful as the Appeals Panel's hands are tied by national policy:-
1. The admission arrangemnets were not properly followed/implemented in your childs case.
2. The admission arrangements were not lawful and if they had been, your child would have obtained a place; or
3. The Appeals Panel would need to be satisfied that the decision to refuse a place was completely unreasonable
If your child is starting High School (Year 7) the Appeals Panel can take into account a lot more reasons and your chances of being successful can be higher.
You will need to concentrate on why you want your child to attend that particular school (ie:- the majority of his friends be attending, its close to where you live, sibling attends and you wnat all your children to be at the same school etc). If you have any medical reasons that you want the Appeals Panel to takle into account make sure you provide evidence of this when you complete your appeal form.
Also explain about any difficulties you would face with things like travel arrangements to the school you have been offerred, or if your child will be the only one going to that school from his Nursey/Primary school etc.
Dont concentrate on the reasons why the school you have been offered is not acceptable, try to stick to why the school you are appealing for is the most appropriate for your child.
Also, put an appeal in for all 3 of the schools you had applied for at the same time. If you wait for the outcome of one before you appeal for the next school, other parents may have appeals for the other schools on your list which if successful, will limit your chances of obtaining a place.
Most Primary Schools operate waiting lists upto the end of the first term (usually Christmas). These lists are not held on 1st come 1st served basis, and your child's position on the list can fluctuate depending on where he or she is on the schools admissions criteria in comparison to other children on the waiting list (eg:- if another child has a sibling at the school and you do not, the other child will be closer to the top of the waiting list than yours or if you live closer to the school than another family (who do not have a sibling at theschool) you would be higher on the list)
You can also speak to your local authity to see what other schools have places available if you dont like the one you have been offered.
One final point, you can only appeal for a place at a school once each school year. If you are unsuccesful, you would not be able to appeal for a place at that school until he/she was in Year 1 or Year 8.
I cant guarantee that by following this advice you will definately be successful, but I wish you good luck.
Mike