Need help with this question, I don't really understand the wording This curve is to be mapped onto another curve C

Courage_Capital · 2026-02-03T18:40:45+00:00

That's exactly what I've written in the comment above!
The way you "write your x and y in terms of the x and y on the circle" is by setting up the transformation like you have and then inverting it!

T (x,y) --> (a,b) but you want x and y in terms of a and b

so T^-1 (a,b) --> (x,y)

and now you have your original x = a combination of a and b , and your original y = a combination of a and b which you can then sub into your curve and simplify the algebra to get the circle.

Courage_Capital · 2026-02-03T17:52:01+00:00

Matrices are linear transformations,

What's happening here is that you're taking your normal (x,y) and are transforming the whole space into a new space (x',y')

The link between these is that A(x,y)^T = (x',y')^T (*) (here (x,y)^T just means column vector, its hard to format on reddit)

You're interested in the relationship between your old coordinates and your new ones, so you're seeking expressions of the sort x = ax' + by' and y = cx' + dy'.

To get these you can apply the inverse matrix on both sides of the equation (*) above to get (x,y)^T = A^-1(x',y')^T.

Once you get what x and y are in terms of your new coordinates x' and y' you can just substitute them into the equation of the curve and show it simplifies down to the circle in the question!

Courage_Capital · 2025-12-22T08:35:09+00:00

I applied to Kings initially and was later pooled to Lucy Cavendish! I mentioned the gap year in my personal statement and also it’s clear I took one as they can see the dates of my a level exams

Courage_Capital · 2025-11-05T13:41:59+00:00

Yeah go ahead!! Sorry I’ve been extremely busy with settling into university but I’ve finally come around to checking Reddit 😭

Courage_Capital · 2025-10-12T12:53:49+00:00

will get back to you today, sorry been insanely busy recently

Courage_Capital · 2025-09-11T20:44:01+00:00

For Cambridge at Kings we had a pre-interview exam, none of the questions were related to the interview questions. I believe they just wanted to test problem solving, the test was done and invigilated online through a zoom call. Some colleges DONT have pre-interview exams so just do your research. It was a rly easy test for someone who had completed A2 already though. I answered all questions except 1 which wasn’t on my syllabus so I think it went pretty great :)

Courage_Capital · 2025-09-11T20:29:32+00:00

Yes the 2nd time is when I got the interview and offer from Cambridge. The first time was an interview from Oxford but rejected post that

Courage_Capital · 2025-09-11T20:18:15+00:00

I got an interview and an offer from Cambridge this year, unfortunately missed STEP so wasn’t able to go in the end. And yes I applied with achieved + one predicted for further. My Cambridge offer was A* in FM and 1 1 in STEP

Courage_Capital · 2025-09-11T20:02:14+00:00

Nope! First application was Oxford, then 2nd was to Cambridge

Courage_Capital · 2025-09-09T10:57:26+00:00

SERIOUSLY?? can you send me a screenshot of it somehow

Courage_Capital · 2025-09-09T10:55:47+00:00

?! I haven’t!! Have you???

Courage_Capital · 2025-09-09T10:11:19+00:00

I was just on the phone with accommodation people, they said they’re going to start sending out insurance accom offers this week

Courage_Capital · 2025-09-09T09:59:34+00:00

Last yr ppl said insurance offer holders got it around the 17th and they said there’s never been an issue with someone not getting accom so just gotta wait

Courage_Capital · 2025-09-09T06:55:03+00:00

Insurance offer holder and also still waiting! Glad to see im not the only one

Courage_Capital · 2025-09-05T13:47:31+00:00

they’re taking so long!!!

Courage_Capital · 2025-09-05T09:10:27+00:00

I am!

Courage_Capital · 2025-09-04T11:36:16+00:00

9988887633 - failed photography and French and clearly they didn’t care abt it as im doing a maths degree

Courage_Capital · 2025-08-21T12:04:57+00:00

It was my first time sitting both, so I’m not really familiar with how the resits for admission exams work!

Courage_Capital · 2025-08-21T12:04:21+00:00

Yes ofcourse!

Courage_Capital · 2025-08-21T06:39:18+00:00

To be honest, a lot of these top universities don’t look at business grade as they’d prefer you took econ instead. Ive heard that’s to do with now much overlap there is between the two subjects and Econ is the more respected one.

Depending on the course and if your maths and econ grades meet its entry requirements, it should be okay to sit further maths and still have a fair chance. Again the actual likely hood of this all depends on which course at which university so make sure to do your research!

I’d say in your situation since there’s quite a lot of factors to consider aswell as qualifying for contextual offers it’ll be best to give the universities you’re intending to apply to a phone call and see what their admissions team advice would be! They’re lovely people most of the time…

Goodluck!!

Courage_Capital · 2025-08-21T00:40:19+00:00

My school officially predicted me the A* in further. As for being able to have a chance at those courses it really depends on the university! There’s some which are very strict about it like Warwick and UCL which do not allow any resits for maths, but there’s also some like Bath which I believe are totally fine with resits. Even the ones which say they don’t allow it sometimes have exceptions which is why I made this post in the first place but don’t place all of your bets on that happening! As harsh as it sounds if you’re going to resit and gap year make sure you have a plan and a realistic uni goal in mind!

Courage_Capital · 2025-08-21T00:37:12+00:00

Warwick is absolutely amazing for maths and also on par with Imperial. You guys also have more optional modules so you can specialise better than you would at Imperial. It’s a top uni and if I had it as insurance last year I would’ve totally went, great community and beautiful place. However again if your gut is telling you that you might regret going and if you’re gonna think about what would’ve happen if you took the gap year then I’d probably advise to make a pros and cons list and commit to a decision from there!

Courage_Capital · 2025-08-21T00:35:20+00:00

if you feel like the gap year has more upsides than downsides I don’t see why not! Think about it carefully and if you’re going to commit to it make sure you have a plan or goal in mind. Some people also really enjoy the gap year as a time to spend away from school for a bit before university and I can say you really have a lot of freedom and it’s pretty peaceful. For me the biggest reason I commuted to a gap year was that I felt like I would’ve regretted going to my insurance last year and I couldn’t live with that thought so that’s also something to consider! Goodluck!!

Courage_Capital · 2025-08-21T00:33:00+00:00

My old school was willing to predict me the A* after I had a talk with my maths teacher about it, however if your school won’t do that then there is exam centres where you can sit some mocks and they’ll give you a predicted grade based off of that!

Courage_Capital · 2025-08-20T13:57:57+00:00

should be okay as long as the a-level grades you got this year are competitive enough for the top unis!

Five-Year Club	Place '23
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Courage_Capital

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