VCE General & Further Maths Question Thread!

[ed33]

Hey, do we need to know average rate of inflation, GST and capital gain for tomorrow's exam or is it part of the old SD for financial? I have come across a few of these questions from past exams. Thanks

[Cornrow Kenny]

Ive had a question in a MAV exam where its asking if the variable "age of graduates" (in years) is discrete or continuous. I thought it would be discrete as age in years can be counted, but the suggested answers say continuous. Whos right?

Age is continuous. Technically you are only say 18 years old for 1 second, after that you would be 18 and 1 second, 18 and 2 seconds etc, so your age is not "18" but 18.xyz etc

Hope that makes sense 

[Jayz2398]

Not 100% sure I'm correct, so let me know if it's wrong.

I tried working it out along the bottom of the 20cm radius bowl, and it ends up being a little bit shorter.



EDIT: realised I didn't write 2cos-1(3/5) in my workings, but still calculated with it.

[Aaron]

Ive had a question in a MAV exam where its asking if the variable "age of graduates" (in years) is discrete or continuous. I thought it would be discrete as age in years can be counted, but the suggested answers say continuous. Whos right?

I've just had a look at this question on the exam and I believe it to be continuous. It does not explicitly state "age in years". You cannot automatically make these assumptions unless it is explicitly stated in the question. Age could be any sort of value, such as 18 years old or 18 years and 6 months (which would be 18.5). Even though in most cases we as people really just round age down to the nearest whole number, we cannot ignore the fact these values actually exist.

Hey, do we need to know average rate of inflation, GST and capital gain for tomorrow's exam or is it part of the old SD for financial? I have come across a few of these questions from past exams. Thanks

I would say no, given these aren't mentioned in the revised study design for 2016. Here's the study design if you want to have a look further. Cover the points listed: http://www.vcaa.vic.edu.au/Documents/vce/mathematics/MathematicsSD-2016.pdf

I guess if you REALLY wanted to protect yourself, you could always include just the different formulas at the back of your bound notes.

[ed33]

I've just had a look at this question on the exam and I believe it to be continuous. It does not explicitly state "age in years". You cannot automatically make these assumptions unless it is explicitly stated in the question. Age could be any sort of value, such as 18 years old or 18 years and 6 months (which would be 18.5). Even though in most cases we as people really just round age down to the nearest whole number, we cannot ignore the fact these values actually exist.

I would say no, given these aren't mentioned in the revised study design for 2016. Here's the study design if you want to have a look further. Cover the points listed: http://www.vcaa.vic.edu.au/Documents/vce/mathematics/MathematicsSD-2016.pdf

I guess if you REALLY wanted to protect yourself, you could always include just the different formulas at the back of your bound notes.

Thanks for your help!

[blossum]

Heyyy, was just wondering how to do the last question on this about final payment??? (forget about my working out i think its wrong)

Forgive me/correct me if I'm wrong! My brain's a little fried from today.

Working out

9.a) I think is 71 repayments as on finance solver:
N =? (70.81)
I = 5.4
PV = 230,000
Pmt = -3800
FV = 0
Ppy =12

b) After two years so n = 24, then FV becomes 160089.82
Interest = annual rate/ months/100 x this
Interest = 5.4/1200 x 160089.82 = 720.40

Therefore amount that reduces principal = payment - interest
= 3800 -720.40
= 3079.60

c) After two years (24 payments) we saw he still owed 160089.82
So use finance solver to find new repayments over 10 months
N = 10
I = 6
PV = 160089.82
Pmt = ?       -> 16,452.52 damn he rich
FV = 0
Ppy = 12

d) Find the balance on the second last repayment (9th month, to determine the payment on the tenth) so
N= 9
I = 6
PV = 160089.82
Pmt = -16452.52
FV = ?        -> $16370.69 owing
Ppy = 12

Tenth payment
Interest + 16452.52
Interest = 5.4/1200 x 16370.69 = 73.67
Tenth payment = $1652.52

THOUGH, I have no idea if I'm right LOL. Someone help x]
It feels like I looked into it too hard to only be marked 1 point per question..

//e: Oops, ty Kimahso!

For some reason I can't do this question, save me!

Invested $45,550 for four years. After four years of compounding interest, the investment was $60,000.
Interest had been calculated and paid quarterly.
What was the annual rate of interest for this investment?

[Kimahso]

Forgive me/correct me if I'm wrong! My brain's a little fried from today.

Working out

9.a) I think is 71 repayments as on finance solver:
N =? (70.81)
I = 5.4
PV = 230,000
Pmt = -3800
FV = 0
Ppy =12

b) After two years so n = 24, then FV becomes 160089.82
Interest = annual rate/ months/100 x this
Interest = 5.4/1200 x 160089.82 = 720.40

Therefore amount that reduces principal = payment - interest
= 3800 -720.40
= 3079.60

c) After two years (24 payments) we saw he still owed 160089.82
So use finance solver to find new repayments over 10 months
N = 10
I = 5.4
PV = 160089.82
Pmt = ?       -> 16,407.87 damn he rich
FV = 0
Ppy = 12

d) Find the balance on the second last repayment (9th month, to determine the payment on the tenth) so
N= 9
I = 5.4
PV = 160089.82
Pmt = 16407.87
FV = ?        -> $16334.39 owing
Ppy = 12

Tenth payment
Interest + 16334.39
Interest = 5.4/1200 x 16334.39 = 73.50
Tenth payment = $16407.89

THOUGH, I have no idea if I'm right LOL. Someone help x]
It feels like I looked into it too hard to only be marked 1 point per question..

For some reason I can't do this question, save me!

Invested $45,550 for four years. After four years of compounding interest, the investment was $60,000.
Interest had been calculated and paid quarterly.
What was the annual rate of interest for this investment?

You didn't change the interest rate from 5.4 to 6 for parts c and d but other than that I think it's right.

For your question:
N=16
I=?
PV=-45550
Pmt=0
FV=60000
Ppy=Cpy=4

And you get 6.948% annual interest.

[SexGodDosia]

Hey can anyone come up with 5 generic terms on how to describe the general pattern of some statistics/ describing the shape of the distribution

Thanks

[blossum]

-snip-

Thanks!

Hey can anyone come up with 5 generic terms on how to describe the general pattern of some statistics/ describing the shape of the distribution

Thanks

Not sure if this is what you're looking for?
Negatively skewed, positively skewed, symmetric with outliers

Example for comparing two data sets:
Male and female results are, on average, approximately the same. Both have a  mean of around 14.5 However, the males' results are more widely spread. The standard deviation of the males is 2.8 compared to 1.6 for the females. Female results are symmetrically skewed, as shown by the stem plots.

Or for regression?
Positive/negative
Linear/non-linear
Strong/moderate/weak association
With outliers

Time series?
Seasonal, cyclic, structural change, random fluctuations, increasing/decreasing trend...

Example for time series:
The time series plot shows an increasing trend between the quarters March 2013 to June 2014. There is a structural change between June 2014 and September 2014 when the number of commuters jumps dramatically.
There is an increasing trend between September 2014 and December 2015.

_ _ _

Question regarding networks and flow capacity!
I hate these questions:

Click for pic
If all paths leading out of the arena are working at full capacity and the path leading from G to C is closed, what net effect, if any, will this have on the maximum flow into the station?
And one more on the picture

[SexGodDosia]

Not sure if this is what you're looking for?
Negatively skewed, positively skewed, symmetric with outliers

Example for comparing two data sets:
Male and female results are, on average, approximately the same. Both have a  mean of around 14.5 However, the males' results are more widely spread. The standard deviation of the males is 2.8 compared to 1.6 for the females. Female results are symmetrically skewed, as shown by the stem plots.

Or for regression?
Positive/negative
Linear/non-linear
Strong/moderate/weak association
With outliers

Time series?
Seasonal, cyclic, structural change, random fluctuations, increasing/decreasing trend...

Example for time series:
The time series plot shows an increasing trend between the quarters March 2013 to June 2014. There is a structural change between June 2014 and September 2014 when the number of commuters jumps dramatically.
There is an increasing trend between September 2014 and December 2015.

Perfect thanks

[minerva]

Hey, does anyone know where I can find 2016 Further exam 2?

[MightyBeh]

Hey, does anyone know where I can find 2016 Further exam 2?

Right here

[doitforthequestions]

Anyone know how to solve the coordinates for B. Have been stuck on this for awhile.

[littledreamer]

hey guys, i just picked up unit 3 further without a foundation in 1/2 and in the first chapter they asked: Comment on the shape of the histogram. What does this tell you about the distribution of this data set? We had to draw a histogram on CAS which seemed like it was all levelled. Anyway, I have no idea what kind of shapes histograms can be and what a distribution of a data set is (as well as potential answers), can someone please explain Do histograms make up a big part of core? thanks so much!

[Aaron]

hey guys, i just picked up unit 3 further without a foundation in 1/2 and in the first chapter they asked: Comment on the shape of the histogram. What does this tell you about the distribution of this data set? We had to draw a histogram on CAS which seemed like it was all levelled. Anyway, I have no idea what kind of shapes histograms can be and what a distribution of a data set is (as well as potential answers), can someone please explain Do histograms make up a big part of core? thanks so much!

Histograms and the interpretation of visual data representations is an important part of the Core section (statistics, part 1 of 2) so you should spend the time understanding this. There are three key features of a histogram: shape/outliers, centre and spread. Your question is asking specifically regarding shape - therefore the key terms you would be focusing on are: positively skewed, negatively skewed and symmetrical (or bell-shaped).

In terms of commenting regarding the distribution, I would discuss centre and spread along with what it means for a histogram to be 'positively skewed' (as an example).

Every textbook should discuss this in detail as it's part of the core section - meaning every student doing Further has to complete it. Have a look around

Good luck