The other thing is that I found a table saying that no places in William Borlaise will be offered to boys from Reading this year. The entire no of places in bucks allocated to boys resident in Rdg are less than 5 (!) Those places are all at John Hempden GS. I'm guessing your child may not be from Rdg though?
I think the OP lives in High Wycombe.
Just to clarify all Bucks grammar schools offer catchment first and then ooc by distance from school.
Borlase (mixed school) offered ooc to approx 11 miles last year. This was approx twice the distance it generally offers.
John Hampden (boys school) has been "all offered" for the last couple of years.
We obviously don't know this years allocations. Reading is not catchment for any Bucks schools.