Thank you very much for your informative and thorough response - it's great!
Yes, I am describing that course. I want to be a pilot, so if I don't get into training straight away, I will study for a degree in either Maths, Natural Sciences, Pathology or English Language and Literature. I think that my passion lies with both Maths and Biology, but I am more committed to Maths. On a whole level basis, I spend more time doing Maths, than I do spend learning Biology, but when I do study Biology, I only enjoy learning about Human Biology, especially diseases, hence Pathology being an option. The only problem is that I don't know which one to choose, which is why I thought the flexibility of the Natural Science course would be useful.
Currently, I'm doing my GCSEs. In September, I will be in Year 11, but I will also be doing A Level Maths, alongside my 9 other GCSEs. I have self-taught it, and enjoyed learning all the identities, proofs and differential concepts, alongside the other fantastic topics! I find proof interesting, but I prefer getting given a problem and having to find a numerical value, rather than having to prove a trigonometric identity, for example. I enjoy the concept of differentiation and integration, and they are my favourite mathematical concepts, so what would you say that leans more towards - Natural Science's Maths or Pure Maths? Another reason for the Natural Science option is that it will support my ambition to be a Pilot, as I'd be able to improve my mathematical knowledge, whilst also having the ability to extend my ability on the forces of drag, weight etc., but then again, I could take Maths with Physics. See, I keep extending my options!
I do understand that Cambridge is not the only University in the world, but I will
only apply for Natural Sciences at Cambridge. If I don't go to Cambridge, I'd either study: Pathology, Pure Maths or English Language and Literature. If I do enjoy A Level English, I will study it at University, so that if I do get fed-up of flying an aeroplane for hours-and-hours, I can become an English teacher! In fact, I have a summer school to Cambridge, Jesus College, this summer, so I will be asking some questions about both of the courses there.
Yes, STEP seems very hard, but it seems to rely on knowledge from A Level Maths, and Further Maths, so once I have self-taught myself Further Maths, it shouldn't be that difficult, although I am not undermining its extreme difficultly.
Anyways, once again, thank you for your advice. It's so helpful! Thanks!
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