I heard on the radio during the week that they wanted to make grammar school tests not require tutoring.
Why don't they use the SATs results to offer the place?
Rather than giving levels why don't they give the scores as percentages.
The primary schools are already doing the tests so no more work than currently. Every child in state sector sits them, if children in the independent sector want to sit them they either attend a school that offers them, or can be an external candidate at another school (like it is possible to do with GCSEs/A Levels).
Parents can decline a grammar school place if they'd prefer their child to go to the secondary modern, and the place would be offered to the next child in the list.
Any tutoring or improvement of SATs will benefit the primary schools.
I don't think its possible to produce a non-tutorable exam, any type of exam is improved with some level of tutoring. Even if its just explaining to a child how to circle the answers quickly on a multiple answer sheet.
Children don't then have to sit or prepare for two exams in year 6, as they currently have to.