VCAA 2010 QUESTIONS AND ANSWERS

[mkhan]

Got this off itute forum.

SECTION 1
1D 2E 3A 4D 5B 6C 7D 8E 9A 10C 11C 12B 13B 14A 15C 16D 17B 18D 19D 20D 21C 22E

Note: For Q16, assumed 'and' meant to be 'or'.

SECTION 2

q1ai inverse of g = e^(x-1)/2 - 4, dom is R
q1aii x-intercept: x = 2loge4 + 1, y-intercept: y = e^(-1/2) - 4
q1aiii x = 5.503, -3.914
q1aiv area = 52.63 unit squares
q1bi a = 1
q1bii c = 1
q1biii show
q1biv show
q1bv p = e^0.9 - 1

q2a Pr = 0.12 (amended)
q2b Pr = 0.729
q2c steady state pr 0.875
q2di first state matrix
[1]

second state matrix
[p]
[1-p]
third state matrix
[p p-0.2][p]=[0.7]
[1-p 1.2-p][1-p]=[0.3]
p = 0.75
q2dii expectation = 1.21
q2e min. n = 18

q3ai AB=20cosx
q3aii WZ=10sinx
q3b area of 4triangles and a square
q3c WY=10sqrt(1-2cos^2 x)
q3d show
q3e T=4000/9 m3, x=arccos(1/sqrt(3))
q3f x=0.86, 1.08

q4a x=1/2 inf, x=13/8 max
q4b x=1/a inf, x=(3ab+1)/10a
q4c a=0
q4d a=3/b
q4e 2
q4f p=1-3^(2/3)

QUESTION 3 E AND 3 F IS WRONG.

[mkhan]

how did people go?? my aim to get over fourty is crushed...

[costa94]

4f on there is wrong, p was = 1 or 4 but it said p =/= 1 therefore p = 4

[mkhan]

mm true

[costa94]

all the rest are the same as i got
cant be sure with multichoice coz i cant remember all the correct answers but yeah..

[Jdog]

x=(3ab+1)/10a 


i think this part is wrong,



and q3e T=4000/9 m3, x=arccos(1/sqrt(3))


this part is wrong

[costa94]

haha missed those two^
should be (ab+1)/4a (if i remember right)
and T= 4000rt3/27, or - as it also says - cos^-1(rt3/3)

[Bomb505]

Updated:

q3e T=4000/3^(2.5) m3 (amended), x=arccos(1/sqrt(3))
q3f x=0.81, 1.23 (amended)
...
q4b x=1/a inf, x=(ab+1)/4a (amended)
...
q4f p=4 (amended)

[itolduso]

itute has got the updated version
http://www.itute.com/board/viewtopic.php?f=2&t=1913

[zhangq]

will 39.5/40 for exam1, 80/80 for exam 2 and 90% average SAC mark get a raw score of 50?

[Stroodle]

will 39.5/40 for exam1, 80/80 for exam 2 and 90% average SAC mark get a raw score of 50?

Yeah, I'd say so. Dunno how you managed to get a half mark on exam 1 though..

[Bomb505]

will 39.5/40 for exam1, 80/80 for exam 2 and 90% average SAC mark get a raw score of 50?

Yeah, I'd say so. Dunno how you managed to get a half mark on exam 1 though..

You wouldn't.

[calvintptw]

get c for sacs  get25/40  get 40/80   would i get 25?

[zhangq]

will 39.5/40 for exam1, 80/80 for exam 2 and 90% average SAC mark get a raw score of 50?

Yeah, I'd say so. Dunno how you managed to get a half mark on exam 1 though..

for the probability part where p=1/2, I wrote in the bracket (0 <equal p<eqal 1)
where should be (0<equal to pr(X=x)<equal to 1)
too nurvous that day, I assume a 0.5 mark off, or one...

[Jdog]

yeah you might lose a mark if the assesor is actually correcting propererly,


you really didn't need to said that, you just needen't to say that p couldn't be less than zero, to get rid of the extraneous solution