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If Sophie takes a sweet from the bag on her first selection, there is a 6/n chance it will be orange. That’s because there are 6 oranges and n sweets. If Sophie takes a sweet from the bag on her second se...

logF=logG+logH−log(1/M)−2*logR Simplify RHS using law of logarithms, 

logF=log(GH)−log(1/M)−2logR             using law of addition
logF=log(GHM)−2logR                      ...

This question requires differentiating the equation to find where its gradient is equal to zero. Differentation is done via a simple equation -->  if y = xⁿ then dy/dx = nx^n-1

dy/dx = 15x^2 + 8x + 3

Differentiation was often a question my peers struggled with at gcse and although not necessairly a dominating topic of the syllabus, I found it is an easy way to pick up mar...

Understanding of the ratio: 2+3=5, 3/5 is white, 2/5 blue, 2.818(3/5) + 3.518(2/5) No calculator paper, so check ability to do accurately arithmetic as above and make sure to think about...