How Can a 15-Year-Old Pursue Advanced Maths and Physics Outside of School?

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A 15-year-old student in Year 10 is seeking guidance on taking advanced mathematics and physics exams outside of school, specifically aiming for a level comparable to AP Calculus (AB or BC). The student is currently studying AQA GCSE Maths, Further Maths, and Physics but finds these subjects tedious and is interested in higher-level content. Concerns are raised about the potential for their school to switch exam boards, which could lead to complications if they take an extra exam outside of school. The student is uncertain about the recognition of AP Calculus in the UK and is looking for advice on how to pursue a more challenging curriculum that would be well-regarded in their educational context.
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Hey, I'm 15 and am currently in year 10 and undertaking AQA GCSE Maths, Further Maths and Physics (As well as the others, but these aren't related to my question). Now like many others I'm beginning to find these tedious since I'm trying to learn higher level mathematics and physics online since at this level the subjects really interest me, now I know I haven't done A-level mathematics, but the reason I wouldn't like to do that straight away is in case my School decides to switch and I would end up either doing the same exam again or be forced to explain that I took an extra exam outside of School. Would it be possible for me to take an extra, more difficult, exam outside of school related to maths or physics which is about on par, difficultly-wise, with AP calculus (AB or BC) the reason I haven't done either of these is I don't know how well credited, if at all, they are in the UK, and how I would go about taking one, anyway if anybody has any suggestions or advice they would be very much appreciated.
Thanks.
 
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I'm not sure what you are trying to say. I thought AP Calculus was below A-level?
 
Yeah, I'm not really sure exactly what level AP calculus is at.. But I'm just looking to do something around that level which will have a good amount of credit in the UK.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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