FP1 OCR(not MEI) Jan 2011

I am unsure on the question when you had to state whether the simultaneous equations were none, unique or infinite. I put none because of some inconsistency with equations but some of my friends say they put infinite does anyone know which ones right?

It was good i think :P no 3x3 inverse matrix which was nice I am unsure on the question when you had to state whether the simultaneous equations were none, unique or infinite. I put none because of some inconsistency with equations but some of my friends say they put infinite does anyone know which ones right?

for Q6) I shaded an equilateral triangle co-ords (0, -2) (4,-2) and (4,2)
q
8ii) i got q=1/3

all others i got same

for Q6) I shaded an equilateral triangle co-ords (0, -2) (4,-2) and (4,2)
q
8ii) i got q=1/3

all others i got same

your 7i) is incorrect, and your 6ii) i think you shade the area between y=-2(rather than the x axis), x=4 and y =x-2
your 8ii) is 1/3

Here are my answers:

(not too sure about q6 and i've prob made some stupid mistakes)

1.i. (7 9)
ii. (18)
iii. ( 12 -4
6 -2)

2.i. -12 + 13i
ii. 27/37 -(14/37)i

3. Induction

4. a=4 b=-4

5. A^2

6.i. x=4 y=x-2
ii. i shaded the area between x=4 , y=x-2 and the x-axis

7.i. A= (1 3
0 1)

ii. Enlargement SF root 3

iii. a. the coordinates of my points were (0,0) (2,0) (6,2) (8,2)
b. det=4 area quadrupled

8.i. show p=5/6
ii. q=2/3

9.i. det = a^2 -7a +6
ii. a=1, a=6
iii. equations consistent, det=0, therefore infinite solutions

10.i. show = 2/(r(r+1)(r+2))
ii. sum= 0.5 + 1/(n+2) - 1/(n+1)
iii. prove sum infinity from n+1 = 1/(n+1)(n+2)

Mattyps coordinates are defos correct. Draw the shape and work out the area using squares and triangles, you'll find you get 4 which is what it should be. Also for the sum question, I got a=4 and b=-1, anyone get that?

Im pretty sure 7i) is a matrix of (1 3
...................................................01)

because that moves (1,1) to (4,1)
and (0,1) to (3,1) which is the correct transformation?

a=4, b=-4 is what me and a lot of others who sat FP1 at my college got.

a=4, b=-4 is what me and a lot of others who sat FP1 at my college got.

i got that too. and checked it on my calculator.