ATAR Notes: Forum
Archived Discussion => 2010 => End-of-year exams => Exam Discussion => Victoria => Further Mathematics => Topic started by: _avO on November 03, 2010, 05:59:00 pm
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Havn't been through the other threads but these are suggested solutions for the 3 modules and core (credits goes to jasoN-)
Core:
1a) 50%
b) med=28
ran=56
IQR=17
c)1/6 (16% for canada)
d) approximately symmetric
2a) male income
b) $350
c) $18250
ci) extrapolation
3a) plot
b) increasing trend (as years increases, GDP increases)
c) GDP = 20000 + 524 x time
d) 34148, error of $752
Graphs:
1a) R = 65x
b) C = $1700
c) sketch
d) 20 pillows
2) 40
3a) the total number of pillows sold must not exceed 150
b) k = 45
ci) sketch
ii) sketch
d) $9075
e) let Snorestop = 2x, x + y + 2x less than or equal to 150
=> 3x + y less than or equal to 150
f) R = 175x + 50y
g) (35,45), R = $8375
Networks
1a) 0 means can't directly communicate
b) f = 1, g = 0
2a) 11 mins
b) Hamilton path
ii)(attached)
3a) D
bi) B, D, F
ii) 32
c) B and D
4a) 2 activities
b) 9 minutes
c) A, C
d) 4 min
e) 16 min
f) ABDH
Matrices
1a) N = [4 8 2]
b) P = [26]
c) Oscar scores 26 points
2a) 20% heavy this week to moderate the next week
b) 66
c) 6
3a) [1 1 1]
[2 -1 3]
[1 2 1]
b) x = -5
c) 10 rebounds
4ai) A2 = [2100]
[1100]
ii) 3200 caps
b) A10 = [2163]
[1613]
c) gradually more people attend until eventually 3000 people attend, with no change in the future
d) Less people attend over time until eventually 600 people attend with no change in the future
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Hmm for Q1, wouldn't it be 1/2 not 50%, since it asked for a proportion? The rest is all correct pretty sure.
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Proportion can be fraction of percentage (even decimal), no specification
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this makes me feel better - I thought I screwed up matrices and didn't have enough time to check but I'm pretty sure I still got them right
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Do you guys think we had to write GDP (dollars) = 20000 + 524 x time (years)
sigh.. I think I wrote dollars but not years
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Hmm for Q1, wouldn't it be 1/2 not 50%, since it asked for a proportion? The rest is all correct pretty sure.
this was tested in the past both fractions and percentage was accepted also decimals i.e. .50
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No you definitely did not have to right GDP(dollars) and time (years) as the question asked for the equation in terms of GDP and time..... however if you did write dollars after GDP I think that will be accepted
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NICE i put 1/2
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did you have to mention the steady state for the matrices. In that it stops at 600 or whatever
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Well the steady state means that it won't change in the future, so as long as you say one or the other it should be correct
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GODDAMMIT!
I put B D and C for the cycling networks question, and the total as 33km. Are you 100% confident on yours? :-[
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Do you guys think we had to write GDP (dollars) = 20000 + 524 x time (years)
sigh.. I think I wrote dollars but not years
nah it said take time as the independent variable so writing GDP=20000 + 524 * time would have been fine. dont think you would be marked wrong if you wrote dollars and time
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I tried that one and it came out as 33
The points were B, D and F
Yeah i tried like 2 different methods and they both came out as 32km
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GODDAMMIT!
I put B D and C for the cycling networks question, and the total as 33km. Are you 100% confident on yours? :-[
defs it is 32 went over both paths 4-5 times defs added to 32!
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Why is it 3200 caps?
What did the question ask again?
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asked how many free caps were expected to be given. it was the sum of elements in matrix A2 which was 2100+1100
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But didn't it say for people who attended the first and second game?
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pretty sure it said the scorpions in week 3 and dinosaurs in week 2.
So you added Scorpions from A3 to dinosaurs from A2
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Are you freaken serious? didn't even notice that they were different.. er..
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Ok must have read it wrong. How many marks was that question worth?
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Nope it was the total amount from people attending the second game of D and S pretty sure.
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No im pretty sure this was 3200
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fck scared the crap out of me. STOP DOING THAT :P
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lol im sorry.
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Yep U PULLED OUR LEGS
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was that worth one mark?
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Yeah it is
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I lose marks on the easiest questions :(
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I lost one on extrapolation thought too logically I wrote "Realistically, a female's annual income is not explained by a male's income.. "etc.. LOL
Btw do you lose marks if you get it right, but then go on to write other stuff. For example the one about (matrices) Oscar getting 26 points, I wrote he got it by getting 4 one-pointer 8 two-pointer and 2 three-pointers..
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Yeah you should get the mark for matrices, my teacher told me they can't mark you down for writing too much
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Should be fine as long as you wrote he scored a total of 26 points in that game.
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You know for the linear part, the very last question would i get at least a mark for listing the possible coordinates but not the max profit?
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I think so, if you identified the coordinates that were altered as a result in different constraints, that is worth 1 mark (otherwise simply putting the correct revenue got the 2 marks)
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guys how did you do matrices 2d?
how'd you prove it
i just said s7 = T^6 x [90 150 60]
and said that 90 + 150 + 60 = 50 + 150 + 100
hence 300 = 300
is that okay?
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You needed to find S7 and S8(Or Sn when n>7) as it shows there is no change in the future therefore it is the steady state
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I showed what T^7 was then what T^8 was. Couldn't it have been raaised to the power of anything greater than or equal to 6?
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FUCK
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Anything that shows that the future doesn't change so you can do T^100 and then explain that both T^7 and T^100 are the same hence no change
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i lost
core: 1 mark
linear: 1 mark
networks: 2 marks
matrcies: 3 marks- 2 marks becaause i typed it into my calculator wrong instead of 150 i typed 50 FUCK ME MAN :(
could've gotten 40 :'(
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i lost
core: 1 mark
linear: 1 mark
networks: 2 marks
matrcies: 3 marks- 2 marks becaause i typed it into my calculator wrong instead of 150 i typed 50 FUCK ME MAN :(
could've gotten 40 :'(
devo right?? i did a similar thing with the last question in matrices :'(
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I tried that one and it came out as 33
The points were B, D and F
Yeah i tried like 2 different methods and they both came out as 32km
so if ive said b c d f for bi
will i get consequential mark for ii?
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so i did the G * a1 and then i get a2 and then i do G*a2 and i get a3 but then i did this to the a10 and my answers always had a 1000 difference between each other??????? how did u guys get that answer?
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do G^9 A1 is the same as doing all that (I double checked :))
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hahah I did the long way because I was scared that something dodgy was gonna happen :P
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do G^9 A1 is the same as doing all that (I double checked :))
i did do it the long way and they suggested we do it that way didnt they? and i got that answer
i think u should do it again cause i got a diff answer.wtf. :(((((((((((((((((
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Awks for me... lol
core Q1d I said because there are no outliers, would i get the mark you reckon?
also networks q3bii I got 31...
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I think you had to describe the shape as well, because despite there being no outliers, the shape could have been skewed therefore the mean does not measure the centre
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Awks for me... lol
core Q1d I said because there are no outliers, would i get the mark you reckon?
also networks q3bii I got 31...
How'd you get 31?
I got 33 at first then realised there was a 32.
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i got 31 also
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wow..31? i did like at least 5-6 different combinations and couldn't get below 32..
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Omg so the answers 31???
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WTF networks 31?
omg fml
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No, it's 32
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Are you sure?
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Pretty sure
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Phew :)
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someone have the netowkrs exam section
someone prove that its 31 :\
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That question was so annoying, took me like 10 minutes.
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3+4+2+3+2+2+3+4+3+6 = 32
other possibility
6+4+3+4+2+2+3+3+2+3 = 32
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3+4+2+3+2+2+3+4+3+6 = 32
other possibility
6+4+3+4+2+2+3+3+2+3 = 32
Yeah i got 2 possibilities also when trying to work this out.