Computer Science and Mathematics Preparation Recommendations

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esrever
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Hello. I just passed my IGCSEs and I'm beginning with A levels. I am really interested in courses related to mathematics and computer science and want to prepare well for them.

So how rigorous are the courses compared to A levels? What readings would you recommend? Currently, I have to following books on my list
AoPS calc, pre-calc and intermediate counting and probability
CLRS
TAOCP
Graph Theory
A Classical Introduction to Modern Number Theory
Analytic Number Theory
Elements of Set Theory
Basic Real Analysis
Some other algebra and linear algebra books

I am also doing a few olympiad maths books.

Also, is it recommended that I do interns? Internship isn't nearly as popular here as in UK so it would be difficult to find a good place to apply to. But if it's worth it, I am ready to do it.

What other things would you recommend doing?

Lastly, I want to know somethings about the entrance requirements. What are the average GCSE grades? I was ignoring IGCSEs so I expect to achieve 4A* right now. However I am taking more courses so about 7A* in total.

For A levels, my courses require between A*AAA - A*A*A*A. Should I take their word for it and focus on other stuff? Or should I just aim for A*A*A*A*?
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