VCE General & Further Maths Question Thread!

[bae]

What's your SAC average?

Workings for 2c - 2d are attached, did you need help with question 3 as well? 

Edit: Do you mean in the part before 2b where it says 'the number of voters in the city is expected to remain constant'? 90% sure that just means the sum of all the values in any state matrix will add up to 12000.

Thanks heaps! Yeah that's what I meant with the state matrix. My sac average is A+

See, for your working out you do S3=T^2 x S1, I enter the exact same thing in my calculator yet my answer will always exceed 12000, is it something to do with my settings??

EDIT [ Thanks for the help, I think it was something to do with my calculator because it's working now ]

[kavmeh]

EDIT: holi moli, ignore me. I thought you were asking for question 9 of 2009

haha its okay paper-back. Thank you anyway for helping

E is correct if you forget (like I did the first time I did the question ) that only the corner points of the feasible region are to be included in your calculation (I'm looking at you, (0,100)  ).

To (accurately) find the coordinates of point M we first need to know the equation of the lines and solve for the intersection. I'm too lazy to type it out so I'm going to assume you had no issues with this part and know that the coordinates of M are (20,50). (Let me know if you did have issues though and I'll show you <3 )

So our corner points are: (0,60), (20,50), (40,0) and (0,0). Obviously we don't need to include 0,0 though because none of the equations are going to be maximised there.

Then I just subbed in the three reasonable points to each equation (thankfully the answer is A.)

(0,60)
(M)
(40,0)

So the function Z = x + y is maximised at the point M.

(Image removed from quote.)

I still don't understand MightyBeh Because I got the two  equations and the intersection (20,50) then I sub 20 and 50 into Z=x+4y and I got 220. Why isn't that right?

[MightyBeh]

Thanks heaps! Yeah that's what I meant with the state matrix. My sac average is A+

With your 2014 exam scores, around ~39+ raw I think.

I still don't understand MightyBeh Because I got the two  equations and the intersection (20,50) then I sub 20 and 50 into Z=x+4y and I got 220. Why isn't that right?

Because when you test other corner points of the feasible region, (0,60) and (40,0), you get 240 and 40, which means the function is maximised at (0,60) instead of M.

[kavmeh]

Thank you so much!!! MightyBeh

[MightyBeh]

Thank you so much!!! MightyBeh

you're welcome! <3

[BakedDwarf]

How many marks can you lose in exam 2 for a 50 study score? Assuming full marks in SACs and exam 1

[paper-back]

How many marks can you lose in exam 2 for a 50 study score? Assuming full marks in SACs and exam 1

Probably around 3 max

[kavmeh]

Hi, I have more questions 2009  exam 2 question 4 (graphs and relation)
When it says determine the maximum total profit what points do we use (corner points or points within the feasible region)
and question 3 part d 2007 exam 2 (graphs and relation)
Thank you

[ineedbiohelp]

Hey guys, i got both these questions correct, however im not really sure i know the reasoning behind them so if anyone is able to clarify why that would be great.

So with Question 1 B here, they convert the sides lengths into the same unit of measurement (cm or m, both work) which i understand, and then they use k^2 which again i understand.

With Question 5 here,a block of land has an area of 4000m^2, and the map is 10cm^2. Following the last question, wouldnt we have to convert these into the same measurement? Can anyone explain clearly to me why they dont do this?

Cheers!

[n.a]

Hey guys, i got both these questions correct, however im not really sure i know the reasoning behind them so if anyone is able to clarify why that would be great.

So with Question 1 B here, they convert the sides lengths into the same unit of measurement (cm or m, both work) which i understand, and then they use k^2 which again i understand.

With Question 5 here,a block of land has an area of 4000m^2, and the map is 10cm^2. Following the last question, wouldnt we have to convert these into the same measurement? Can anyone explain clearly to me why they dont do this?

Cheers!

So, Question 1b ii:
-We know that a 3cm line represents 600 cm, so linear scale factor (k)= 1:200. Keep in mind that you have to convert both of them to the same unit, preferably cm.
-Next, to find the area scale factor, you need to square k. That gives you 1:40 000
-Now, you need to find x:600 000, because 60m^2 = 600 000 cm^2.
-Solve, and that gives you 15 cm^2.

Question 5:
-Area scale factor is 10:40 000 000 if you convert 4000 m^2 to cm^2.
-Simplifies to 1 cm:4 000 000 cm
-Square root to find linear scale factor. That gives you 1 cm:2000 cm
-Convert to metres.

Hope that helps!

[ineedbiohelp]

Yes that works thank you, idk what i was doing. Probably just over worked and tired lol , as ive actually been doing really well on the practice exams and then i get stuck on something easy because of silly mistakes...

Cheers though!!

[n.a]

Okay, so now I have a question about scales. When a question talks about the measurements of a map as being in mm, do we always convert it to cm? That is, do we always assume that scales are in cm:cm; like where it says 1:5000, would it always be assumed that it is referring to cm, seeing as they hardly ever specify the units?

Yeah, my wording's a bit off.
Everyone excited/nervous/bleh about the exam coming up? 

[MightyBeh]

Okay, so now I have a question about scales. When a question talks about the measurements of a map as being in mm, do we always convert it to cm? That is, do we always assume that scales are in cm:cm; like where it says 1:5000, would it always be assumed that it is referring to cm, seeing as they hardly ever specify the units?

Yeah, my wording's a bit off.
Everyone excited/nervous/bleh about the exam coming up?

I would assume 1 unit : x units? I reckon that if it seemed ambiguous at all in a VCAA question they'd specify units.

Pretty bleh about exam 1 personally, but think exam 2 will turn out okay 

[n.a]

I would assume 1 unit : x units? I reckon that if it seemed ambiguous at all in a VCAA question they'd specify units.

Pretty bleh about exam 1 personally, but think exam 2 will turn out okay 

Thanks, and you'll do great; you seem really smart!

I have another question:
For the Question attached and highlighted, I did it and got 200%, but the answer is 100%. Why is that?

[dankfrank420]

Thanks, and you'll do great; you seem really smart!

I have another question:
For the Question attached and highlighted, I did it and got 200%, but the answer is 100%. Why is that?

You may have calculated that 2011 is twice the original (hence 200%), but this is an INCREASE by only 100%, since the original of 2005 is already 100% of the 2005.