FP1 OCR(not MEI) Jan 2011

That was the easiest FP1 exam i've ever done

So did you get inconsistent or infinite solutions for 9iii? :/

8.ii. q=2/3

Sat it today as well, didn't find it too demanding and was surprised that it didn't require you to find inverse matrices anywhere.

Places where I disagree:


I shaded between x = 4, y = -2 and y = x - 2



I got 1/3

I may well be wrong though - I'm very careless sometimes

If you're wrong, that'd make two of us...
I agree.

Fingers crossed then, I guess we'll know in 10mins anyway How did you find the paper overall?

I'm here!

Give me 10 mins to LaTeX it all.

OCR FP1 (not MEI) answers Jan 2011


1. i) $\begin{pmatrix} 7 & 9 \end{pmatrix}$ (2 marks)

ii) $\begin{pmatrix} 18 \end{pmatrix}$ (2 marks)

iii) $\begin{pmatrix} 12 & -4 \\6 & -2 \end{pmatrix}$ (3 marks)


2. i) $-12+13i$ (2 marks)

ii) $\frac{27-14i}{37}$ (4 marks)


3. Proof by induction (4 marks)


4. $a=4$ and $b=-4$ (6 marks)


5. $\mathbf{A}^2$ (3 marks)


6. i) a) Vertical line $Re(z) = 4$ (2 marks)

b) Half line starting at $-2i$ making angle of $\frac{\pi}{4}$ with real axis. (3 marks)

ii) Shade triangle to left of vertical line and between half line and real axis. (3 marks)


7. i) $\begin{pmatrix} 1 & 3 \\0 & 1 \end{pmatrix}$ (2 marks)

ii) Enlargement centre (0, 0) scale factor $\sqrt 3$ (2 marks)

iii) a) Parallelogram vertices at (0, 0) (2, 0) (6, 2) (8, 2) (3 marks)

b) Determinant = 4 so the area scale factor = 4 (2 marks)


8. i) Show ... (4 marks)

ii) $q=\frac{1}{3}$ (5 marks)


9. i) $a^2-7a+6$ (3 marks)

ii) $a=1$ and $a=6$ (3 marks)

iii) Infinite number of solutions (evidence of consistency needed) (3 marks)


10. i) Show ... (2 marks)

ii) $\frac{1}{2} - \frac{1}{(n+1)(n+2)}$ (6 marks)

iii) Show ... (3 marks)

okay why is 6)ii) between line x=4 and the real axis?

OCR FP1 (not MEI) answers Jan 2011


1. i) $\begin{pmatrix} 7 & 9 \end{pmatrix}$ (2 marks)

ii) $\begin{pmatrix} 18 \end{pmatrix}$ (2 marks)

iii) $\begin{pmatrix} 12 & -4 \\6 & -2 \end{pmatrix}$ (3 marks)


2. i) $-12+13i$ (2 marks)

ii) $\frac{27-14i}{37}$ (4 marks)


3. Proof by induction (4 marks)


4. $a=4$ and $b=-4$ (6 marks)


5. $\mathbf{A}^2$ (3 marks)


6. i) a) Vertical line $Re(z) = 4$ (2 marks)

b) Half line starting at $-2i$ making angle of $\frac{\pi}{4}$ with real axis. (3 marks)

ii) Shade triangle to left of vertical line and between half line and real axis. (3 marks)


7. i) $\begin{pmatrix} 1 & 3 \\0 & 1 \end{pmatrix}$ (2 marks)

ii) Enlargement centre (0, 0) scale factor $\sqrt 3$ (2 marks)

iii) a) Parallelogram vertices at (0, 0) (2, 0) (6, 2) (8, 2) (3 marks)

b) Determinant = 4 so the area scale factor = 4 (2 marks)


8. i) Show ... (4 marks)

ii) $q=\frac{1}{3}$ (5 marks)


9. i) $a^2-7a+6$ (3 marks)

ii) $a=1$ and $a=6$ (3 marks)

iii) Infinite number of solutions (evidence of consistency needed) (3 marks)


10. i) Show ... (2 marks)

ii) $\frac{1}{2} - \frac{1}{(n+1)(n+2)}$ (6 marks)

iii) Show ... (3 marks)

Because it also had to satisfy the other inequality which had the condition the argument was greater than or equal to zero.

OCR FP1 (not MEI) answers Jan 2011
6. ii) Shade triangle to left of vertical line and between half line and real axis. (3 marks)

9. iii) Infinite number of solutions (evidence of consistency needed) (3 marks)

It was a nice chilled start to my exam period, I will be surprised if I lose more than 1 or 2 marks. I took it EXTRA slowly to make sure that I didn't make any sign errors but it's still pretty likely that I've made a numerical error somewhere...
Yourself? Good luck, I'm sure you did fine anyways!

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