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My advice is always past papers! There are only so many questions that the examiner can ask, and a lot of the time the questions have already turned up in previous papers. I would also just try to stay as ca...

Since there is an x^2 term, we know that there are two brackets that are of the form (x- ) (x- ), but we need to fill in the blanks! What are the two numbers where you can add them up to make 3, and you can ...

f(-1) = (-1)^3 - (-1)*7 - 6 = -1 + 7 - 6 = 0 Hence f(x) = (x+1)(x^2 + ax - 6) Expand this out f(x) = x^3 + ax^2 - 6x + x^2 + ax - 6 = x^3 + (a+1)x^2 + (a-6)x -6 By comparing co-efficients a + 1 = 0 a - 6 = -...

Mathematical induction is a type of direct proof, where you can prove sequences or series. A good example of this is that we can prove 1 + 3 + 5 + .... + (2n-1) = n^2. There are 4 steps: 1. Prove the first c...

The longest straight line within the cuboid is the diagonal from a corner to the corner diagonally from it (show diagram), call this D. So to find out whether the pole will fit, find this length, if it is lo...