Download pdf for issues arising from FP1 past papers on:

- How to explain a calculation of arg(z)
- How to indicate use of “sum of roots” and “product of roots”
- Symmetrical calculations in parabola and hyperbola questions
- Reading the word “hence”, in particular in questions using the Cayley-Hamilton theorem
- Why the sum for r=1 to n of n is…. n
^{2}
- Induction problems with divisibility

Download pdf (or odt file) for issues arising from FP1 past papers on:

- Induction problems with divisibility
- Simultaneous equations and matrices
- Square roots of complex numbers
- Problems like: “Find λ if λ is real, z= 5 + i√3, and arg (z + λ) = π/3”

Download pdf for issues arising from F1 IAL papers on:

- Solving cubics and quartics.
Also note: If you say “call the other roots a±bi” and do the calculation from sum of roots and product of roots, you may get an *imaginary* value for b, say b^{2}=−(49/4), so b=±(7i/2). *That’s all right*. It just means that those two other roots you are looking for are *both real*.

- “Prove that the approximate solution 0.642 is correct to three decimal places”.
- Finding the enlargement factor and the angle of rotation for a matrix which you know represents an enlargement combined with a rotation.
- Given a point on the axis of a parabola, to find the two points at which a circle centred at that point
*just touches* the parabola.

### Like this:

Like Loading...

*Related*