Did anyone take a gap year to get into a better university?

I'm in a similar situation. I applied for maths at cambridge, imperial, UCL, bath and loughborough with 3A* predicteds and got rejected from the first 3. I know Bath is good but I can't help but wonder if I could get into better unis if I take a gap year. I'd probably apply to Warwick, LSE, Imperial(I'm better at problem solving now so hopefully won't f up the admissions test again). I know warwick gives offers to most maths applicants because the offers itself are difficult but I'm sure I would have met it by then. Only thing is I think gap years for maths applicants are frowned upon apparently and I'm not completely sure taking a gap year is worth it to just go 3 or 4 rankings up.

I know this doesn't answer your question but I just wanted to share and let you know you aren't the only one going through this.

I'd also like to know if someone has taken a gap year before for this reason and had it go well.

Thanks for the responses everyone, I've spoken to some more people and the general impression I got is that yes, many people that take this route get into the uni they wanted to (as @beebop72 said) but you definitely need to plan something to do in that year that will improve your application.
I spoke with my tutor and they got in contact with some CS employers and the general consensus is that it doesn't really matter which uni you go to, more about the quality of your degree (1:1 or 2:1 etc) and what you have experience with. Hope this helps a bit, @Jeparlepas
I've still not completely made a decision, but definitely leaning more towards going to York now since it has a lot to offer and spending a whole year waiting to go to uni doesn't really appeal.

Thanks for the responses everyone, I've spoken to some more people and the general impression I got is that yes, many people that take this route get into the uni they wanted to (as @beebop72 said) but you definitely need to plan something to do in that year that will improve your application.
I spoke with my tutor and they got in contact with some CS employers and the general consensus is that it doesn't really matter which uni you go to, more about the quality of your degree (1:1 or 2:1 etc) and what you have experience with. Hope this helps a bit, @Jeparlepas
I've still not completely made a decision, but definitely leaning more towards going to York now since it has a lot to offer and spending a whole year waiting to go to uni doesn't really appeal.

I was predicted 3xA*, A*A*A seems doable but got rejected from all my choices but York Uni (offer is 3 As), which is understandable as I made some (in hindsight) poor choices. (Applied for Computing at: Cambridge, St Andrews, ICL, Edinburgh, York).
If I were to take a gap year and reapply, I'd apply to some easier to get into places and redo my personal statement but York does seem like a good university. To be honest, I'd rather not wait another year before starting uni but I feel I could've applied somewhere better such as Durham, Exeter or Bristol.

If you took a gap year for a similar reason I'd be grateful if you could share your experience, advice etc. Did you do a work placement during it and/or spend a long time working on things to add to your personal statement? Did you still feel motivated to study after a year away from it all? Did you manage to get into somewhere better?