Women in lifts, children on beams and particles on inclined planes. It must be Mechanics 1 – M1 Summer 2013 write out available athttp://jped.co.uk/ExamBucket/examfiles/M1Sum13W.pdf.
Series, conics, matrices and interpolation – it must be Further Pure 1. Write out for FP1 June 2013 now available at http://jped.co.uk/ExamBucket/examfiles/FP1Sum13W.pdf.
Useful facts for I/GCSE pupils (exams v soon!) on SIMULTANEOUS EQUATIONS detailed in Carr’s Victorian text book and alive and well, completely unchanged today. FP1 students look at the determinant in 59.
Big integrals, lines and planes and whoever thought that one hundred and thirty one thousand and seventy two divided by one hundred and five would be an answer to and A level question? It must be Further Pure 3 – write out now available at http://jped.co.uk/ExamBucket/examfiles/FP3Sum13W.pdf.
M2 Summer 2013 exam write out done and available at http://jped.co.uk/ExamBucket/examfiles/M2Sum13W.pdf . Found this one a little tricky in places and needed to inset additional sheets to complete all my explanations. Note the use of compound angle formulae above (normally a right angle triangle).
Polynomial rule requires subtle proof by induction to establish it’s truth. One for students of STEP or Further Pure mathematics. Not sure this is the most elegant expression of this proof.
Inspired by Carr’s Synopsis of Elementary Results in Mathematics.
Euclid Book II proposition 9 and 10 proved by area decomposition marries algebra and geometry with a recipe for making Tartans.