School maths is important, challenging and wide-ranging. But often it seems boring and remarkably unrelated to the marvellous adventure that maths really is. And often it’s taught in dreary premises that have no relation to the enormous contribution maths makes to the modern world – not least in computing and artificial intelligence.
My aim here is to capture just a bit of the excitement in maths and to inspire others with it too. I’m not pitching solely for work as a tutor – you can see this website is mainly about just enjoying maths – but if you’d like to know what I can offer as a maths tutor, have a look at the Colinsmaths brochure:
Or just read on for more…
Sometimes it looks like a collection of completely un-related topics, though at other times they can be seen to connect together and rely on each other. It’s often split into Maths, Further Maths and Statistics, with sub-topics and options like Mechanics, Complex Numbers, Decision Maths, and many many others.
But let’s admit it – school maths can be boring and remarkably unrelated to the marvellous adventure that it should be. My aim here is to gather tutoring material, exam papers and my worked solutions, at close-to final year school stage – with various A Level Boards, International Baccalaureate (IB) Higher Level and NZ NCEA standards; and also some material like MADAS and UK Maths Trust papers including the Olympiad competitions.
I don’t claim these are anything special – they’re all available elsewhere on the internet if you know where to look, including the exam boards’ own worked solutions – and I publish them really so that I have access to them as I travel around and talk to various people. But I can at least show here that I’ve engaged – and struggled – with the topics.
Finally I’ll note my solutions here may be correct – I hope most of them are – but they’re certainly not polished final products.
Cambridge International A Level (IAL) Maths
OCR B (MEI) A Level Further Maths