I'm not saying it to be a dick, which I think you think I'm being. I'm saying it because you just aren't remotely being realistic in thinking it's a 'might' option.
Even if she was well into exceeds at this stage, it's unlikely to be able to pull her up enough on the maths.
11+ is that hard.
I know that it's not uncommon for those putting their kids in for 11+ around here to start tutoring from year 2 or 3. And they tend to be reasonably well achieving borderline kids. So you are potentially well behind the curve on that too.
If it's really a case that your worst nightmare is that comprehensive, your options are probably going to be an out of catchment application (which if the school is that bad, everyone else will be attempting too so you need to seriously consider how realistic your application is), thinking about private options or moving house.
And honestly at a term into yr4 you need to get your skates on for the latter two if you are serious about them.
Consider what other schools available and look at their entry criteria for the last year - this is usually available on council websites. They are all difficult according to the area and school - some round here are siblings, then catchment others are siblings, then feeder primaries (and fill up before it gets to catchment). You need to get informed on this. There are other ways of doing it too.
But you want to get moving on that too. I know a lot of the local high school have already done open evenings for this year around here so you've possibly missed the opportunity to look around places under the next academic year now. That means you are into yr5 and close to the application date - if you are considering the moving option you aren't going to get to view a school and move before putting your application in. So you are actually much more up against it than perhaps you realise.
The alternative is moving afterwards and looking at in year transfers and that's much harder to do, and you won't necessarily get a choice of school at all anyway, especially if it's a superbly over subscribed area, forget it.
Like I say Trafford and I believe Manchester City councils are particularly up against it for a place ANYWHERE - just about all the schools regardless of reputation or grammar status are full, so I sincerely hope you aren't up this way.
If you really want your daughter to avoid that Comprehensive, you are going to have to get on with it.
Otherwise you are just going to have to bite the bullet on it.