Mathematics tells us that the winds can never blow in a continuous pattern across the surface of the Earth – a hairy ball can never be combed flat without partings or tufts.
FP3 2014 gives students the chance to prove the surface area of a sphere is 4 pi r squared. Interestingly four time the area of a cross section through the centre and the derivative of the volume. Pupils with strong maths general knowledge from GCSE would know what is coming. TOP TIP do as much maths challenge and extension work as possible, the general knowledge thus gained can only help. This FP3 2014 paper and many others are at my Exam Bucket: http://jped.co.uk/ExamBucket/exambucket.php.
TOP TIP: Root three in this Further Pure 2 exam betrays presence of 30 or 60 degree angles in this complex numbers question. All maths students should know exact values of 30, 45 and 60 degree angles – they come up so much. See my exam bucket http://jped.co.uk/ExamBucket/exambucket.php, for this FP2 2014 and many others.
Mechanics 2 angle of dangle top tip – don’t try and draw your shape at the dangle, instead, add an oblique vertical after. This example is from Edexcel Mechanics 2 June 2014. For this exam write out and others see: http://jped.co.uk/ExamBucket/exambucket.php.
Edexcel’s January 2013 Mechanics 2 exam paper has massively intricate last part of last question to determine existence of third collision. Examiner’s report says not many candidates supplied an answer, which is not a surprise. This, and much more, is freely available on my exam bucket website: http://jped.co.uk/ExamBucket/exambucket.php.
Free Standing Maths Qualification 2013 has gardener, in question 8, who constructs a lawn the boundary of which is a parabola. This contrived calculus exam answer, plus many more is available freely on my newly updated exam bucket website: http://jped.co.uk/ExamBucket/exambucket.php.