OCR MEI - FP1 - 14th May 2015

Yeah can't lose 2 marks for getting it entirely right! Bullsh*t question, I didn't think I'd have to repeat the obvious lol

probs 1 or 2 marks because it shows that the line wasn't inclusive of that inequality, and it clearly was. So it sort of shows you didn't understand the condition fully.

Please marry me

BUT will i lose some marks for the argand diagram question because for the part where you had do draw the argument boundries i used dotted lines instead of solid?

Yeah not a great question to be honest but the rest of the paper was good, always gonna have one you don't like


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Unofficial Markscheme

1. $x = \dfrac{5}{18}, y = \dfrac{1}{27}$


2. $z_1 = 2 + 3j, z_2 = 2 - 3j$

$|z_1| = |z_2| = \sqrt{13}$

$arg(z_1) = 0.983, arg(z_2) = -0.983$


3. $p = -12, q = 11, r = 20$


4.


5i. Use standard summations.

ii. $k = \dfrac{1}{3}$


6. Run-of-the-mill proof by induction.


7i. Sketch:


ii. Values of x for which $y \geq 3$ are:

$x < -1, 0 \leq x < 2$


8i. $\alpha^2 = 9 + 40j, \alpha^3 = -115 + 236j$

ii. $q = -7, r = 123$

iii. $z = 5 + 4j, 5 - 4j$, or $-3$

iv. $z = 5 + 4j, 5 - 4j, -3$ or $1$


9i. A'(0, 0), B'(-4, 0), C'(2, 12)

ii. Horizontal enlargement with s.f. 4, vertical enlargement with s.f. 2

iii. The matrix required was:


iv. 192 sq. units

Do you have the marks that each part was worth? This is very helpful anyway so don't worry if not!