VCE General & Further Maths Question Thread!

[Maliat]

It really depends on how you go on the exam on Monday - I know a kid who got a 50 as rank one who dropped 1 mark on exam 1 then full marked exam 2 ... then I know others who got low 40's because they bombed the 2nd exam with a similar 1st exam mark. It really really depends on how you do in exam 2 - either way you should be comfortably above 40!

Thanks so much! Guess I'll be studying hard for Monday

[galaxy21]

Just want to clarify - one exam that I did (I think it was a VCAA?) said that irregular variation is a feature of every time series graph. Is this right?
I am correcting the 2018 Heffernan exam (2) and it does not mention this in the solution when it asks for the pattern in a time series plot that is shown above.

[spursy]

Just want to clarify - one exam that I did (I think it was a VCAA?) said that irregular variation is a feature of every time series graph. Is this right?
I am correcting the 2018 Heffernan exam (2) and it does not mention this in the solution when it asks for the pattern in a time series plot that is shown above.

every time series has irregular fluctautions/variations

[dimenc]

Hi Everyone, i was wondering if someone could explain how to do graphs and relations questions regarding when the objective function has the same gradient as a line on the graph. I know how to do that (yay it was on exam 1!), but i was just wondering how i would be to go about finding actual integers on the line, as in like a max or min?
Thanks

[S_R_K]

Hi Everyone, i was wondering if someone could explain how to do graphs and relations questions regarding when the objective function has the same gradient as a line on the graph. I know how to do that (yay it was on exam 1!), but i was just wondering how i would be to go about finding actual integers on the line, as in like a max or min?
Thanks

In general, finding integer points on a line is beyond the scope of the Further course (it's part of a branch of maths called "Diophantine equations"). For the purposes of Further, you'll generally only have to find integer points on a line that are between two corner points that have only a small handful of integer coordinates between them.

Because of this, one straightforward (albeit slightly tedious) technique is to (i) first identify the equation of the relevant boundary of the feasible region (ii) identify all possible integer values of the x-coordinates of the points on the line, between the corner points, (iii) then, for each of these possible integer x-coordinates, solve for the y-coordinate. Some of these y-coordinates may not be integers, but some of them could be. To find the max / min, just check the objective function at each point with integer values for the x- and y-coordinates.

For an example of this sort of question / method, try the very last question from NHT Exam 2, 2017.

[Lear]

You can graph the function and then open up table on the ti nspire cas to visually see which x values have a corresponding integer y value


NOTE: For this, you cannot use inequalities. Instead you’ll have to solve the given inequality for y and then graph it as a >function<

[vceme]

NOTE: For this, you cannot use inequalities. Instead you’ll have to solve the given inequality for y and then graph it as a >function<

if you update your cas, you can actually get an option on the graphs mode where you don't have to solve for y (Relations) not sure if you can put inequalities tho 


nevermind, tested this out rn and it doesn't work even with the relations on the cas.

[jol122333]

Can anyone tell me if we are meant to use pen in exam 2? I saw something about it in the 2017 examiner's report but I'd definitely prefer to use my mechanical pencil if we're allowed to!

[Lear]

I wanted to add - This technique is very useful for 2018 MAV EXAM 2 last question of graphs module.

[finnystew]

Could someone help me with question 13.
As far as I was concerned if you don't have all the individual data you need this formula  r=(Σ(x-¯x)(y-¯y))/((n-1) s_x s_y )
so you generate (x,y) values with the least squares regression line but the question does not provide a n value?

[PhoenixxFire]

Could someone help me with question 13.
As far as I was concerned if you don't have all the individual data you need this formula  r=(Σ(x-¯x)(y-¯y))/((n-1) s_x s_y )
so you generate (x,y) values with the least squares regression line but the question does not provide a n value?

You just had to use b=r X Sy/Sx and then just put that into the solve function on your CAS

[vceme]

Can anyone tell me if we are meant to use pen in exam 2? I saw something about it in the 2017 examiner's report but I'd definitely prefer to use my mechanical pencil if we're allowed to!

you have to use pens. the papers are scanned .

[Mustafasarwari28]

Hey Guys, can someone please help me with financial, i have no idea what type of formula to use of any question, Can someone help me understand it a bit more? Thanks

[Lear]

you have to use pens. the papers are scanned .

Are you sure?
I know quite a few people who did further in pencil last year and got study scores. Perhaps one must use a dark pencil?

[Lear]

Hey Guys, can someone please help me with financial, i have no idea what type of formula to use of any question, Can someone help me understand it a bit more? Thanks

It’s not easy to explain such an open question over forums. I would highly recommend looking at your textbook/study design and writing a list of what type of loans/investments there are and under these headings writing what formula you need to use.

If you have a specific question feel free to let us know.