Dear Winnie Woo,
If you and your girl still have 4-6 months before 11plus, please speak to her and start at home tutoring. Meaning you revising, practicing, writing with her. Daily an hour to two. Every single day. That until Nov will give you aprox 200 hours of pure learning and solidifying 4 R skills. Verbal and non verbal reasonings are pretty fun riddles, nothing more- think of them as family quiz at dinner table. But you have to „work through” at least 3-4 Bond books with her.
Unfortunately I found UK private school system segregating children as young as 6 (the schools call it streaming) based on cognitive development tests bought from US companies (most of them being designed for adults). That race for „delivering varied content” to children being in the same class means your daughter has been taught barely basics (easy set) for the last five years because some weird test deemed her „unworthy” of proper teaching. I understand the interests and abilities play a role in how well child performs, but this segregation at the primary level (let us be honest, it is hardly PhD in Applied Physics, the curriculum is set for all young children, brighter or less) is robbing you from your value for money and her from her quality education. To put it plainly- do not trust the school.
You can prove all involved wrong- so can your daughter. The schools dont prepare kids neither for CATs nor 11plus, despite us paying 30K a year and kids spending 40 hr weeks there.
So yes, move her if u wish so or let her be as hopefully she can join the same „gentler” school next year but sit down with her and assess at what level she was left behind by school. Then fill in the gaps. This will require hard consistent work for several months. But she will get from zero to scholarships. The hardest bits in Maths are laughably basic when u look into it. English composition has to be practiced by writing (get the £80 subscription to Twinkle, most of teachers use it, again- poor judgement on their behalf) 6 genres pieces, one each day.
I have done it with mine. Scholarships. Play the system. Dont go with it. No one cares but you about your daughter. You have clearly seen it.