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To work out the total volume of the composite solid, we need the volumes of both the cone and the hemisphere. GCSE Maths students are expected to know these respective formulae; volume of a sphere = ⁴/₃πr...

Firstly rearrange the quadratic such that the coefficient of x² is positive (already done in this example) and the quadratic is in the form of ax² +bx + c, then solve for ...

Firstly the equation of this decomposition should be worked out to be the following
KClO₄(s) --> KCl(s) + 2O₂(g)
The enthalpy of formation has been given for both KClO<...

For N to be not divisible by 3, N can either be of the form 3k + 1 (1,4...) or 3k + 2 (2,5...), where k is an integer.
The proof can then be done by checking both 3k + 1 and 3k + 2 when N is squared...

When writing your personal statement it can be tempting to include everything you have ever done and all the books you have read. However, due to the restricted length it is important to that you carefull...