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Archived Discussion => Mathematics Exams => Math-Science-Tech Exams => VCE Exam Discussion 2016 => Exam Discussion => Victoria => Further Maths Exam Discussion => Topic started by: brenden on October 28, 2016, 04:25:07 pm

Title: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: brenden on October 28, 2016, 04:25:07 pm
Hey everyone!

The answers that are below are purely provisional - point out the mistakes! If you did a module we don't have please post it! We also have a A Copy of the 2016 VCE Further Maths Exam 1

When we have consensus on a module we'll note it down in this original thread. Let's get some teamwork going!

(If someone has a copy of the exam, that would be great too - personal message me if you have one!)


Core
Spoiler
1. B
2. B - challenge has been made; is it D or B? Give us your reasoning.
3. A
4. E
5. C
6. D
7. E
8. C
9. C
10. B
11. A
12. D
13. C
14. A
15. E
16. D
17. E
18. C
19. A
20. D
21. B
22. B
23. D
24. C challenge has been made; is it C or E? Give us your reasoning.

Matrices
Spoiler
1. C
2. D
3. E
4. B
5. C
6. B
7. D
8. A Some people are challenging this answer, claiming answer E instead.

Networks
Spoiler
1. B
2. C
3. C
4. E
5. A
6. C
7. B
8. B

Graphs and Relations
Spoiler
1.B
2.A
3.D
4.D
5.C
6.E
7.E
8.B

Geometry
Spoiler
1. A
2. D
3. E
4. A (not 100%, what's your answer?)
5. A
6. E
7. C
8. D (not 100%, what's your answer?)
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: deejay9 on October 28, 2016, 04:39:59 pm
These are the answers I got, they may not be 100% correct but I'm pretty confident with most of them

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

Matrices
Spoiler
1. C
2. D
3. E
4. B
5. C
6. B
7. D
8. A

Networks
Spoiler
1. B
2. C
3. C
4. E
5. A
6. C
7. B
8. B
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: AhNeon on October 28, 2016, 04:47:38 pm
Pretty sure core question 2 is D as you cant really order the ages, its like male and female
Here are my answers for graphs and relations
Spoiler
1.B
2.A
3.D
4.D
5.C
6.E
7.E
8.B
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Flyswatter on October 28, 2016, 04:50:16 pm
I got E for question 24
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Biology24123 on October 28, 2016, 04:51:33 pm
Pretty sure core question 2 is D as you cant really order the ages, its like male and female
Here are my answers for graphs and relations
Spoiler
1.B
2.A
3.D
4.D
5.C
6.E
7.E
8.B

Not sure about that one either. I think it is ordinal though
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: deejay9 on October 28, 2016, 04:54:37 pm
Pretty sure core question 2 is D as you cant really order the ages, its like male and female

But the ages have a natural order as 'under 50' comes before '50 and over'. It makes sense to order them.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: QueenSmarty on October 28, 2016, 04:55:46 pm
But the ages have a natural order as 'under 50' comes before '50 and over'. It makes sense to order them.

Yup, I'd say they were both ordinal as well
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: brenden on October 28, 2016, 04:56:26 pm
Thanks so much for your answers Deejay - really kicking us off.

Has anyone got a copy of the exam?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Biology24123 on October 28, 2016, 04:58:24 pm
I got E for question 24

I got c as well
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: ayesha2011t on October 28, 2016, 04:58:39 pm

But the ages have a natural order as 'under 50' comes before '50 and over'. It makes sense to order them.
Omg thank god! I changed my answer to B last minute
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Sine on October 28, 2016, 04:59:32 pm
How was the exam difficulty, easy hard or normal?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: hihihi1998 on October 28, 2016, 05:00:22 pm
I got a few different answers

Core.
21. B
24. E

Matrices
8. E because you are calculating Rows not Columns

Geometry
1. A
2. D
3. E
4. A (not 100%)
5. A
6. E
7. C
8. D (not 100%)
[/spoiler]
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: ItsSimplyAlia on October 28, 2016, 05:04:54 pm
Pretty sure core question 2 is D as you cant really order the ages, its like male and female
Here are my answers for graphs and relations
Spoiler
1.B
2.A
3.D
4.D
5.C
6.E
7.E
8.B

I got D here as well - You are either under 50 or over 50
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: blossum on October 28, 2016, 05:09:20 pm
I got D here as well - You are either under 50 or over 50
If you're either one of the other, doesn't that make it ordinal?
It's the same as having Yes or No, or Bad, Good and Excellent. If it was all specific age data, then I think it would be nominal.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Biology24123 on October 28, 2016, 05:14:41 pm
If you're either one of the other, doesn't that make it ordinal?
It's the same as having Yes or No, or Bad, Good and Excellent. If it was all specific age data, then I think it would be nominal.

Bad good excellent is ordinal. Yes or no is nominal
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: babushka818 on October 28, 2016, 05:15:09 pm
I got a few different answers

Core.
21. B
24. E

Matrices
8. E because you are calculating Rows not Columns

Geometry
1. A
2. D
3. E
4. A (not 100%)
5. A
6. E
7. C
8. D (not 100%)
[/spoiler]


Same as you for core.
For matrices using rows it was A I thought..

Geometry 8 is right, 4 I am so lost.. It's either A C or E.... Haha

It should be ordinal for 2. It makes sense to order them unlike color or gender
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Rayzorrz on October 28, 2016, 05:17:31 pm
Matched all for core, matrices and graphs and relations except for Q2. core (got D) and Q5. graphs and relations (got E, which I know now is wrong but am tossing up between B and C).
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: blossum on October 28, 2016, 05:19:34 pm
Bad good excellent is ordinal. Yes or no is nominal
That's.. right.. but.. aw
Heck I can't trust myself
I don't know anymore

Can anyone give me an explanation on Q8 for Core?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: haxor4chan on October 28, 2016, 05:23:00 pm
This is from Cambridge essential further txtbook....pretty similar to question 2 on exam. Question 5d btw on attached
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: brenden on October 28, 2016, 05:24:53 pm
Note to self - up to date with the discussion.

I'd appreciate it if 2-3 people could tell me what answers to change when it becomes necessary =]
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Kimahso on October 28, 2016, 05:25:51 pm
Had no idea idea about the parallel box plot question (I actually eliminated C because I thought it couldn't be categorical) and also got question 2 wrong. Ah well.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: deejay9 on October 28, 2016, 05:27:08 pm
Can anyone give me an explanation on Q8 for Core?

Parallel boxplots are used when one variable is categorical and the other is numerical. The variable in the question (monthly median rainfall) is numerical, therefore the other variable has to be categorical. The only categorical option is C.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: hihihi1998 on October 28, 2016, 05:27:45 pm
If you go back to the textbook (Cambridge Further Mathematics Revised) Page 405 it will give you an explanation on how to do the same sort of question, if you use that logic for Q8 of Matrices you will get C.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: postera on October 28, 2016, 05:28:04 pm
Regarding Q4 of the Geometry module, I did not select A nor E. With that said, something is telling me it's E because, if you're going based on real times, the sun rises in Portland after Mallacoota. I'm not sure how true this may be to the actual answer so take it with a grain of salt.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: babushka818 on October 28, 2016, 05:28:46 pm
Can anyone give me an explanation on Q8 for Core?

Parallel box plots look at association between categorical and numerical variable. All options except C were numerical while C was categorical.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: maddi9876 on October 28, 2016, 05:29:07 pm
how do you do question 8 from networks?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: powergab on October 28, 2016, 05:33:57 pm
Can someone please explain why question 7 for matrices is d rather than c!
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: jazzaa36 on October 28, 2016, 05:36:26 pm
how do you do question 8 from networks?

You use Hungarian algorithm to find the shortest time allocations which is 2.In this case u can switch Brianna or diedre around hence the answers B ( I THINK LMAO)
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Finnster on October 28, 2016, 05:36:43 pm
For networks, question 4 although I got E. It can also be C
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Ratish on October 28, 2016, 05:37:15 pm
Oops, i meant that i got E for question 8 in the networks module. Sorry.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: babushka818 on October 28, 2016, 05:38:57 pm
Can someone please explain why question 7 for matrices is d rather than c!

For example 50% of A remains at A. 50% next week will also. Some of these can overlap, so it's not necessarily true that they each change each week. C is only true is the leading diagonal has 0s (I think?)
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: alex4928 on October 28, 2016, 05:40:03 pm

Matrices
8. E because you are calculating Rows not Columns

to calculate which is dominant you add columns not rows
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Sheri54371 on October 28, 2016, 05:42:36 pm
Question 7 for matrices was D because if you add up the percentage of people who will choose art in the long term it will show that 1.0 of the long term students will choose art, 1.1 will choose music, and 0.9 will choose sport. This is done by adding up the rows. So, the first row (art) is found: 0.5+0.4+0.1=1.0. Row 2 (music) is 0.3+0.4+0.4=1.1.  Row 3 (sport) is 0.2+0.2+0.5=0.9

Therefore as 1.1 is larger than 0.9, we can tell that a greater proportion of students will choose music over sport
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Sheri54371 on October 28, 2016, 05:50:48 pm
Question 7 for matrices was D because if you add up the percentage of people who will choose art in the long term it will show that 1.0 of the long term students will choose art, 1.1 will choose music, and 0.9 will choose sport. This is done by adding up the rows. So, the first row (art) is found: 0.5+0.4+0.1=1.0. Row 2 (music) is 0.3+0.4+0.4=1.1.  Row 3 (sport) is 0.2+0.2+0.5=0.9

Therefore as 1.1 is larger than 0.9, we can tell that a greater proportion of students will choose music over sport
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Sheri54371 on October 28, 2016, 05:51:46 pm
Question 7 for matrices was D because if you add up the percentage of people who will choose art in the long term it will show that 1.0 of the long term students will choose art, 1.1 will choose music, and 0.9 will choose sport. This is done by adding up the rows. So, the first row (art) is found: 0.5+0.4+0.1=1.0. Row 2 (music) is 0.3+0.4+0.4=1.1.  Row 3 (sport) is 0.2+0.2+0.5=0.9

Therefore as 1.1 is larger than 0.9, we can tell that a greater proportion of students will choose music over sport
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: omcgil15 on October 28, 2016, 05:53:56 pm
Dominance you add rows not columns, so definitely A
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: emkol on October 28, 2016, 05:57:10 pm
challenges:!!
core: q2 - d-  as under 50 and over 50 are groups
q 24 - e -  because its still the middle of the annuity (whats she has given the banks) the Fv is also negative!!!
matrices: q8 - a - as i changed the original matrix to a defeating b and removing the 1 from b defeating a then i step 2 dominance it and a was the winner

someone explain:!!
core: q12 - why is it d? i said e
networks - q3 - why is it c? i said b
q7 - why is it b? i guessed e because it made 2 equal 11

thankyou :)
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: mb on October 28, 2016, 05:58:28 pm
Surely there's no natural ordering to age groups.

The Cambridge textbook uses it in a similar way to how it uses gender which is nominal too
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: mb on October 28, 2016, 06:00:40 pm
core: q12 - why is it d? i said e

A strong positive association suggests when one variable increases, so will the other
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: mikaela98 on October 28, 2016, 06:06:30 pm
does anybody have a copy of the exam?? our school doesn't let us take it :( pls help
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: omcgil15 on October 28, 2016, 06:10:15 pm

networks - q3 - why is it c? i said b


If you take off one more edge, the graph is still connected. There simply wont be an edge between two of the vertices, but the graph is still connected.

Example, this following graph is connected, even though there isn't an edge between the two outer vertices

   0-------0--------0-------0

Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: babushka818 on October 28, 2016, 06:14:02 pm
does anybody have a copy of the exam?? our school doesn't let us take it :( pls help

Pm me if you're on Facebook I can take pictures of my exam :)
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: mikaela98 on October 28, 2016, 06:23:21 pm
Pm me if you're on Facebook I can take pictures of my exam :)

whats your facebook?? ill add you :)
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: deejay9 on October 28, 2016, 06:23:59 pm
q 24 - e -  because its still the middle of the annuity (whats she has given the banks) the Fv is also negative!!!

Q2 seems to be quite contentious both here and on Facebook, however Q24 is definetely C. Using financial solver:

N: 60
I(%): 5.2
PV: -130784
Pmt: ?
FV: 66992.27
Ppy: 12
Cpy: 12

Pmt comes out as 1500.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: decentxion on October 28, 2016, 06:24:57 pm
Anyone have a rational explanation of the Graphs & Relations q8?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: EdwinJS on October 28, 2016, 06:26:21 pm
Please explain to me why the last question graphs and relations was B - 7.5  ???

I have come to understand that it could really be any answer if justified... because we aren't told what k is?

If you got B please tell me why, my answer was C and is explained in the picture attached.  ;)
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Rayzorrz on October 28, 2016, 06:27:18 pm
With Q24 Core, if you accept E, you overpay on the annuity giving you a negative value for your FV.
If you accept C, you work out the PV to be $180,000 and substituting the values into the solver they should be able to match with the stats (positive FV).
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: EdwinJS on October 28, 2016, 06:32:20 pm
With Q24 Core, if you accept E, you overpay on the annuity giving you a negative value for your FV.
If you accept C, you work out the PV to be $180,000 and substituting the values into the solver they should be able to match with the stats (positive FV).

For Q24 of Core this is what I did (I got E!)

We aren't told what the current value is so the value at 5 years is used as the PV

Financial Solver -
N: 5(years) * 12(months) = 60
I: 5.2%
PV: 130,784.83 (at 5th year)
Pmt: ??? = $-3460.14911597 (money away is always negative)
FV: 66,992.27 (at 10th year)
PpY: 12
CpY: 12

Makes sense to me, I think E was correct from the start. No doubts.





Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: decentxion on October 28, 2016, 06:34:22 pm
Quote
Please explain to me why the last question graphs and relations was B - 7.5  ???

I have come to understand that it could really be any answer if justified... because we aren't told what k is?

If you got B please tell me why, my answer was C and is explained in the picture attached.  ;)

The problem with the question is an inherent error in the wording. There isn't enough information on the walking pattern of Megan to assume that she walks at the same pace, or a reason why she stopped at 600m for a break. Without this info, we can't just assume that k=100, because what if Megan just walks a tad faster or slower? That can change the a-value.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Rayzorrz on October 28, 2016, 06:34:43 pm
Please explain to me why the last question graphs and relations was B - 7.5  ???

I have come to understand that it could really be any answer if justified... because we aren't told what k is?

If you got B please tell me why, my answer was C and is explained in the picture attached.  ;)

You can work out the value of 'k' by substituting in the coordinates (10,800) as you know after 10 minutes she has reached the shop (800m from house). Thus 'k' works out to be 80 so your new equation is 'distance'=80*t. Let distance=600 as you know it is a continuous piece-wise/hybrid function. t=(600)/80=7.5.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: DontDrinkAndDerive on October 28, 2016, 06:36:58 pm
I think Core Q2 is B - if Age (which is an increasing numerical value) groups don't have an order, then nothing does!

Core Q24 is definitely C. In this case PV should be negative and FV should be positive.

I don't teach Graphs and Relations, but I'd love an explanation of question 8 as well. It seems to me that any of the options are possible, since we don't know the value of k. Essentially k is telling us how quick she walks and a is telling us when she leaves for the last 200m of the walk. She can leave early and walk slow, or leave late and walk fast! We need more info, or at least that's how it seems to me. Unless there was an ammendment my school didn't find out about?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: deejay9 on October 28, 2016, 06:38:11 pm
For Q24 of Core this is what I did (I got E!)

We aren't told what the current value is so the value at 5 years is used as the PV

Financial Solver -
N: 5(years) * 12(months) = 60
I: 5.2%
PV: 130,784.83 (at 5th year)
Pmt: ??? = $-3460.14911597 (money away is always negative)
FV: 66,992.27 (at 10th year)
PpY: 12
CpY: 12

Makes sense to me, I think E was correct from the start. No doubts.

Pmt is positive for annuities, since money is being received from the bank. Check out my working on the last page for this question, the answer is C
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Rayzorrz on October 28, 2016, 06:38:11 pm
For Q24 of Core this is what I did (I got E!)

We aren't told what the current value is so the value at 5 years is used as the PV

Financial Solver -
N: 5(years) * 12(months) = 60
I: 5.2%
PV: 130,784.83 (at 5th year)
Pmt: ??? = $-3460.14911597 (money away is always negative)
FV: 66,992.27 (at 10th year)
PpY: 12
CpY: 12

Makes sense to me, I think E was correct from the start. No doubts.

I think PV should be positive as you receive money. If PV is negative you are paying the receiver money.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: decentxion on October 28, 2016, 06:39:47 pm
You can work out the value of 'k' by substituting in the coordinates (10,800) as you know after 10 minutes she has reached the shop (800m from house). Thus 'k' works out to be 80 so your new equation is 'distance'=80*t. Let distance=600 as you know it is a continuous piece-wise/hybrid function. t=(600)/80=7.5.

You make a good point. How annoying of a question, glad I haven't had to experience VCAA exam wording in a few years!
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: EdwinJS on October 28, 2016, 06:45:41 pm
I think PV should be positive as you receive money. If PV is negative you are paying the receiver money.

But I said PV is positive
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Rayzorrz on October 28, 2016, 06:48:16 pm
But I said PV is positive

Apologies, was referring to PMT. PMT is positive if you receive money, negative if you give money.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: EdwinJS on October 28, 2016, 06:51:25 pm
Apologies, was referring to PMT. PMT is positive if you receive money, negative if you give money.

Yes, totally agree with that but we were taught that when the initial PV is not known, make PV and FV negative, which I didn't show on the previous reply but if that was done then this would be the answer obtained:

Financial Solver -
N: 5(years) * 12(months) = 60
I: 5.2%
PV: -130,784.83 (at 5th year)
Pmt: ??? = $3460.14911597
FV: -66,992.27 (at 10th year)
PpY: 12
CpY: 12
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syndicate on October 28, 2016, 06:59:06 pm
For matrices question 8, I believe the correct answer is A (my apologies if this has already been discussed).

Teams C and B have an equal amount of wins (2 each), however team C is ranked one. This is because team C has won the match against team B. If team A wins the match against team B, then team A and team C will have an equal amount of win, however, since team A had already won a match against team C, they will be ranked one in the tournament.

E can't be the correct answer. If team C loses a match against team D, then team D and team B will have the most wins (from this it can be inferred that E is not the correct solution).
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Rayzorrz on October 28, 2016, 06:59:37 pm
Yes, totally agree with that but we were taught that when the initial PV is not known, make PV and FV negative, which I didn't show on the previous reply but if that was done then this would be the answer obtained:

Financial Solver -
N: 5(years) * 12(months) = 60
I: 5.2%
PV: -130,784.83 (at 5th year)
Pmt: ??? = $3460.14911597 (money away is always negative)
FV: -66,992.27 (at 10th year)
PpY: 12
CpY: 12

Ah. I've always known that if you are still owed money, FV should be positive. If you now owe money, FV should be negative. In this case your original amount still owed (PV) is negative so you are stilled owed $130,784.83 but if you have FV as negative, you now owe $66,992.27 since you have overpaid.

Edit: if you use Cambridge's Further Maths revised textbook, they follow the same method.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: cosecant on October 28, 2016, 07:03:04 pm
can someone please explain to me why 13 was C? Seasonality are predictable patterns that occur within a year or less.  However, for the time series plot shown it was across 4 years and when you divide it into each year, there is no obvious pattern.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: EdwinJS on October 28, 2016, 07:03:23 pm
Ah. I've always known that if you are still owed money, FV should be positive. If you now owe money, FV should be negative. In this case your original amount still owed (PV) is negative so you are stilled owed $130,784.83 but if you have FV as negative, you now owe $66,992.27 since you have overpaid.


Very true, guess I'll have to wait to see the end result/score  :o




the first step is to find k using the fact that it took her 10 mins to walk 800 metres so 10k=800 making k 80 and then from there you use 80a=600 (as line 2 and 3 must be equal where they meet) and find a as 7.5

But that's assuming she was the same speed for the entire 10minutes... Think about it this way, similar to what you said the first 6minutes she travelled 600m therefore 6k = 600 and k=100 which we are already told. Then there is 4minutes left to travel and 400meters remaining, we aren't told how long she is stationary, and we aren't told her speed afterwards. So couldn't any answer be justified?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: masch on October 28, 2016, 07:13:18 pm
For Q24 PV is NEGATIVE (money out of your pocket) and FV is POSITIVE (money owed to you)
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Youssab on October 28, 2016, 07:14:15 pm
Can someone please explain 8 core, and i am pretty sure 24 is E, and 8 matrices is A...
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: ryunee on October 28, 2016, 07:18:30 pm
Does anyone know how to work out Linear (not Core sorry!) Q6 - there were two unknowns so I had no idea how to get the equation. I ended up guessing another point on the graph and using power regression on CAS to get the rule. Chose E but I have no clue how
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 28, 2016, 07:25:46 pm
Does anyone know how to work out Core Q6 - there were two unknowns so I had no idea how to get the equation. I ended up guessing another point on the graph and using power regression on CAS to get the rule. Chose E but I have no clue how

Core Q6 is histogram , are you sure it the right question?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: kirstym1204 on October 28, 2016, 07:29:45 pm
Is someone able to explain the last question in the geometry and measurement module? The question with the triangle flags on the string.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: stuof2016 on October 28, 2016, 07:31:17 pm
Hey everyone!

The answers that are below are purely provisional - point out the mistakes! If you did a module we don't have please post it! We also have a A Copy of the 2016 VCE Further Maths Exam 1

When we have consensus on a module we'll note it down in this original thread. Let's get some teamwork going!

(If someone has a copy of the exam, that would be great too - personal message me if you have one!)


Core
Spoiler
1. B
2. B - challenge has been made; is it D or B? Give us your reasoning.
3. A
4. E
5. C
6. D
7. E
8. C
9. C
10. B
11. A
12. D
13. C
14. A
15. E
16. D
17. E
18. C
19. A
20. D
21. B
22. B
23. D
24. C challenge has been made; is it C or E? Give us your reasoning.

Matrices
Spoiler
1. C
2. D
3. E
4. B
5. C
6. B
7. D
8. A Some people are challenging this answer, claiming answer E instead.

Networks
Spoiler
1. B
2. C
3. C
4. E
5. A
6. C
7. B
8. B

Graphs and Relations
Spoiler
1.B
2.A
3.D
4.D
5.C
6.E
7.E
8.B

Geometry
Spoiler
1. A
2. D
3. E
4. A (not 100%, what's your answer?)
5. A
6. E
7. C
8. D (not 100%, what's your answer?)


Hey guys regarding question 2 on the core, I am pretty sure it is D because I made some research and according to this website:
https://onlinecourses.science.psu.edu/stat504/?q=book/export/html/1

'under 50 or above 50' is nominal:
(see image)
All the best :)
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Bobzbeme on October 28, 2016, 07:36:23 pm
Alright i just want some clarification on some answers.

Core:
Q9: Clarification
Q13: why can't it be D, isnt it increasing after the fluctuations?
Q21: Shouldn't it be D if its $80000, with $4000 per year? Unless i misunderstood it

Thats all, be kind  ;D
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Shax on October 28, 2016, 07:36:57 pm
Hey guys,
Can someone please explain question 5 in graphs and relations ?
How do we know that it is C ? Personally, I chose E because I was confused between B and C.
The objective function has 4 variables and its maximum value cannot be simply determined by inspection. I think the graph was not to scale and the two lines were meant to be parallel. But even if they were not, why not B ?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: masch on October 28, 2016, 07:37:56 pm
Core Question 24 : Answer is DEFINITELY C . Just checked it using recursion

Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: deejay9 on October 28, 2016, 07:46:36 pm
Alright i just want some clarification on some answers.

Core:
Q9: Clarification
Q13: why can't it be D, isnt it increasing after the fluctuations?
Q21: Shouldn't it be D if its $80000, with $4000 per year? Unless i misunderstood it

Thats all, be kind  ;D

Q9 - A is true (take the square root of the r squared value), B is true (notice it says variation NOT explained, therefore 100-87.5 = 12.5), C is false, D is true (you can tell that it's strong, positive and linear just by looking at the scatterplott) and E is true (75 uses interpolation as it's inside the original range of HDI values)
Q13 - There isn't a significant enough change to say that the trend is increasing, therefore there's no overall trend and the answer is C
Q21 - The value of a perpetuity always remains the same (think of the word perpetual meaning forever), so the graph is just a horizontal line
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: arney16 on October 28, 2016, 07:54:43 pm
Question 4 in Geometry I got as E.
If the sun rises in Mallacoota, which is further East than Portland, the sun should rise first in Mallacoota, because the places in the east see the sun first!!
Is this correct?   :D
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: maddymerz on October 28, 2016, 07:55:33 pm
Reading through this thread sounds like question 24 from Core is leaning towards C, still a bit of a debate though. I went E - anyone have a clear/close to definite answer??
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: mb on October 28, 2016, 07:56:56 pm
Reading through this thread sounds like question 24 from Core is leaning towards C, still a bit of a debate though. I went E - anyone have a clear/close to definite answer??

Definitely C, go try it yourself, the initial balance is $180,000
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: stuof2016 on October 28, 2016, 08:01:20 pm
Reading through this thread sounds like question 24 from Core is leaning towards C, still a bit of a debate though. I went E - anyone have a clear/close to definite answer??

Q24
Finance solver:
Make PV = -130784.93
PMT= ?
FV= 66992.27
N= (120-60 = 60) = 60  (pretend the 5 yr value is initial)
ppy=cpy=12
I= 5.2
you will get 1500 (C)
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: superalexnguyen on October 28, 2016, 08:05:31 pm
Graphs & relations
Question 5, could someone please explain why it's only C. The gradientstill touches point B and either could be the maximum. So shouldn't it be the whole line?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: maddymerz on October 28, 2016, 08:18:35 pm
I got A for Matrices Question 8 but now am unsure ???
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: apan on October 28, 2016, 08:19:40 pm
I got A for Matrices Question 8

Me too! I've heard some stuff about having to add columns but this dominance matrix was like any other, so hence we had to add the rows.

I'm also confident than 24 in core is C! Because an annuity present value is always negative.

I think I got 36/40 on that exam - have I lost my chance at a 40+?

Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Zealous on October 28, 2016, 08:23:13 pm
Hi!

I also believe the answer to 24 is C, $1500 a month.

You can also solve this algebraically:



Solving that gives p=-1500.0000189.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: blossum on October 28, 2016, 08:23:46 pm
Me too! I've heard some stuff about having to add columns but this dominance matrix was like any other, so hence we had to add the rows.

I'm also confident than 24 in core is C! Because an annuity present value is always negative.

I think I got 36/40 on that exam - have I lost my chance at a 40+?
Remember this and the next exam are both weighted 33%
If you keep it up I'm sure you have a pretty good chance! Work hard for Monday *~*

I got between 34-37 depending on the challenges... Praying it's 37 LOL but knowing my luck it'll be the 34.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: unknown000 on October 28, 2016, 08:26:30 pm
I believe question 2 of core is B...
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: apan on October 28, 2016, 08:27:39 pm
Remember this and the next exam are both weighted 33%
If you keep it up I'm sure you have a pretty good chance! Work hard for Monday *~*

I got between 34-37 depending on the challenges... Praying it's 37 LOL but knowing my luck it'll be the 34.

Intense cramming here I come!

I believe you'll get the 37!! What questions are you not so sure about?

I made 1 silly mistakes and 2 questions I guessed because I had no idea! The last was 2 from core - I chose ordinal and nominal (D) but I'm convinced now that they're both ordinal!

What modules did you do?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: knightrider on October 28, 2016, 08:51:32 pm
lol imo the further exam wasnt overly hard but what made it confusing was the ambiguity of some of the options.

Hope everyone went well  :) !!

like some of the options could have been interpreted in two ways like last qn of core. Also other qns as well.

Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: EdwinJS on October 28, 2016, 10:19:56 pm
Anyone able to explain their answer for Graphs and Relations Q6 the y=kx^n question? Thanks.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: zoemull on October 28, 2016, 10:30:34 pm
can someone explain to me how to work out Q8 on the Graphs and Relations module??? thanks
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: zoemull on October 28, 2016, 10:33:12 pm
Graphs & relations
Question 5, could someone please explain why it's only C. The gradientstill touches point B and either could be the maximum. So shouldn't it be the whole line?

if you look closely the line isn't actually parallel to BC (I made the same mistake too) so the last point it hits when you move your ruler across is C, which is the maximum
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: twinsniper on October 28, 2016, 10:55:01 pm
Anyone able to explain their answer for Graphs and Relations Q6 the y=kx^n question? Thanks.

Its E, and to see this, take a look at Graph E. The x axis is labeled "X^3", where X cubed is said to be 2. If you take the cube root of 2, you get approximately 1.25. Now take a look at the K*x^n graph, the origianl one. IF you draw a line from x=1.25, you'll get a Y value similart to 3, the given Y value for E.

I don't know if you guys reached a verdict for Q2 core, but my two cents, its D. Blood pressure makes sense for an ordinal varialbe because it refers to levels of blood pressure, Low, Medium and high, and you can ask the question "What level of blood pressure was recorded". The age group however should be nominal, as you cannot ask a question or refer to the groups in a way that distinguishes level. You cannot say "What level of age did they belong to" or similar questions, you can only ask questions referring to it as an age group, "What age group did they belong to", where the label for age groups are "Under 50's" and "Over 50's"
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: busssar on October 28, 2016, 10:56:29 pm
Graphs and relations (module 4)
Can someone please explain to me how they did the last question? ... I had no idea how to do it and just ended up guessing
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: blossum on October 28, 2016, 10:57:48 pm
Intense cramming here I come!

I believe you'll get the 37!! What questions are you not so sure about?

I made 1 silly mistakes and 2 questions I guessed because I had no idea! The last was 2 from core - I chose ordinal and nominal (D) but I'm convinced now that they're both ordinal!

What modules did you do?
Haha wow congrats :D I hope your next exam is as successful.
Did you figure out how to do those questions?

I did matrices and networks!
Unsure:
Core Q2 (picked B, OP says maybe D)
Core Q24 (picked C, OP says maybe E)
Matrices Q8 (picked A, OP says maybe E)

Wrong:
Core Q8 (picked B) - I ruled out the right answer (C) first because I didn't even think about it haha
Core Q11 (picked C)- I totally forgot to log(y) on my CAS and calculated the regression without it
Matrices Q6 (picked C) - silly mistake, flew straight over the zero
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: zacgiles on October 28, 2016, 10:59:42 pm
Looks like I fucked further 7 wrong on the first bloody exam  >:(
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: blossum on October 28, 2016, 11:06:39 pm
Looks like I fucked further 7 wrong on the first bloody exam  >:(
Hey there, anything over 80% is extremely honouring. Maybe you have high expectations but this is still a promising score, and I hope it strives you to do your best in exam 2. Both exams are weighted equally, so I believe you can pull it up in the next one c:
This only is of help to some people, but, my cohort's average for the mock exam we had was under 40%, so there is promise of many people being below you and you having a decent study score x]
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: twinsniper on October 28, 2016, 11:12:58 pm
Graphs and relations (module 4)
Can someone please explain to me how they did the last question? ... I had no idea how to do it and just ended up guessing

First, at T=10, you use the third equation as per the constraints, the thir equationn being k*t
You know that the journey was a total of 800m, and that it took her 10 minutes to reach the shop, or to cover the 800m. The fact that she went at a different pace or stopped for a while is irrelevant, as the Hybrid funtion gives the distance from her house at any particular point, and regardless the distance from her house at T=10 is 800m.
To work out the average rate of travel, divide the distance by time, or 800/10=80, which gives you your K value. Next, you know that at T=a, the distance is 600m, as per the second equation in the Hybrid funtion. Thus, k*t bceomes k*a=600, a=600/k, k=80, then a=600/80=7.5
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: busssar on October 28, 2016, 11:16:21 pm
First, at T=10, you use the third equation as per the constraints, the thir equationn being k*t
You know that the journey was a total of 800m, and that it took her 10 minutes to reach the shop, or to cover the 800m. The fact that she went at a different pace or stopped for a while is irrelevant, as the Hybrid funtion gives the distance from her house at any particular point, and regardless the distance from her house at T=10 is 800m.
To work out the average rate of travel, divide the distance by time, or 800/10=80, which gives you your K value. Next, you know that at T=a, the distance is 600m, as per the second equation in the Hybrid funtion. Thus, k*t bceomes k*a=600, a=600/k, k=80, then a=600/80=7.5

Thank you!!!
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Izabella kendall on October 28, 2016, 11:19:57 pm
Geometry
4. A (not 100%, what's your answer?)

I got c for this question
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Manige123 on October 28, 2016, 11:29:02 pm
Can I please get an answer for question 4 geometry!!
I got E. 6.35am but im seeing conflicting results! Someone who could confirm this answer would be appreciated
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: plato on October 28, 2016, 11:33:51 pm
can someone explain to me how to work out Q8 on the Graphs and Relations module??? thanks
Twinsniper offered an appropriate explanation for Q8 in Graphs while I was composing this one - but here is my explanation anyway.

The equation for the final section of the graph is distance = kt. This is the same as y=mx+c where c=0.
Since y=mx+0 goes through the origin, so must distance = kt

Since the line distance = kt joins (0, 0) and (10, 800), the gradient of this line is 80
That means k=80 and the equation of the line, between t=a and t=10, is given by distance = 80t

Now find the value of t where this line distance = 80t crosses the line distance = 600
That is, solve  80t = 600.
This gives the value of t=a=7.5.

Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: apan on October 28, 2016, 11:37:14 pm
Haha wow congrats :D I hope your next exam is as successful.
Did you figure out how to do those questions?

I did matrices and networks!
Unsure:
Core Q2 (picked B, OP says maybe D)
Core Q24 (picked C, OP says maybe E)
Matrices Q8 (picked A, OP says maybe E)

Wrong:
Core Q8 (picked B) - I ruled out the right answer (C) first because I didn't even think about it haha
Core Q11 (picked C)- I totally forgot to log(y) on my CAS and calculated the regression without it
Matrices Q6 (picked C) - silly mistake, flew straight over the zero

Definitely think you got 37 :-)
Core Q2 I answered D but I 100% understand why it's C :) makes sense, under 50 and over 50 does have some sort of natural order! You wouldn't order it as: over 50, under 50 imo.
Core Q24 I chose C! I also checked with my teacher and she agreed it was C! People mixed their negative and positives up! But pretty sure annuities are treated as investments...?
Matrices Q8 was 100% A! It was a normal dominance matrix so I don't understand why some people were adding columns? You always add rows :)

The ones I got wrong were:
Q7 - picked D because I didn't read the 'at least 2' properly 😂 forgot to add the 1!
And 2 questions from graphs and relations!

So unless some magic happens and vcaa accepts 2 answers for Q2 (here's hoping!) Sitting on an average score :/
Thankfully I understand them now :D Hopefully we can smash Exam 2!
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: EdwinJS on October 28, 2016, 11:41:36 pm
Can I please get an answer for question 4 geometry!!
I got E. 6.35am but im seeing conflicting results! Someone who could confirm this answer would be appreciated

I don't do the geometry module but I got 6:35 when I did it. 8° Difference of both locations, and you are told that 15° equates to one hour.
8/15 = 0.53333... 0.53 of 60 minutes is 31.98minutes. 31.98minutes or 32minutes added on to 6:03am is 6:35am. However because its the longitude that equates to one hour someone may be needing to correct me. Btw I don't do the Geometry module  :o
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Manige123 on October 28, 2016, 11:43:45 pm
have we established what the answer is to Question 2 core???? B OR D??
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: EdwinJS on October 28, 2016, 11:43:56 pm
Twinsniper offered an appropriate explanation for Q8 in Graphs while I was composing this one - but here is my explanation anyway.

The equation for the final section of the graph is distance = kt. This is the same as y=mx+c where c=0.
Since y=mx+0 goes through the origin, so must distance = kt

Since the line distance = kt joins (0, 0) and (10, 800), the gradient of this line is 80
That means k=80 and the equation of the line, between t=a and t=10, is given by distance = 80t

Now find the value of t where this line distance = 80t crosses the line distance = 600
That is, solve  80t = 600.
This gives the value of t=a=7.5.

But this is not accounting for her remaining stationary for x minutes? I don't think you can use the average travel rate to find a... This question is flawed
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: blossum on October 29, 2016, 12:02:07 am
Definitely think you got 37 :-)
Core Q2 I answered D but I 100% understand why it's C :) makes sense, under 50 and over 50 does have some sort of natural order! You wouldn't order it as: over 50, under 50 imo.
Core Q24 I chose C! I also checked with my teacher and she agreed it was C! People mixed their negative and positives up! But pretty sure annuities are treated as investments...?
Matrices Q8 was 100% A! It was a normal dominance matrix so I don't understand why some people were adding columns? You always add rows :)

The ones I got wrong were:
Q7 - picked D because I didn't read the 'at least 2' properly 😂 forgot to add the 1!
And 2 questions from graphs and relations!

So unless some magic happens and vcaa accepts 2 answers for Q2 (here's hoping!) Sitting on an average score :/
Thankfully I understand them now :D Hopefully we can smash Exam 2!
My friend did that with Q7 too x]
My cohort's pretty weak so I don't feel too happy haha. But then again, I haven't done.. optimal studying this year.. or this month,, or week,, B^0
Thanks for boosting my morale! I'm gonna ask how you do afterwards, okay? c:
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: DontDrinkAndDerive on October 29, 2016, 12:17:35 am
Twinsniper offered an appropriate explanation for Q8 in Graphs while I was composing this one - but here is my explanation anyway.

The equation for the final section of the graph is distance = kt. This is the same as y=mx+c where c=0.
Since y=mx+0 goes through the origin, so must distance = kt

Since the line distance = kt joins (0, 0) and (10, 800), the gradient of this line is 80
That means k=80 and the equation of the line, between t=a and t=10, is given by distance = 80t

Now find the value of t where this line distance = 80t crosses the line distance = 600
That is, solve  80t = 600.
This gives the value of t=a=7.5.

This makes sense - I stand corrected!

It seems the key point (which I missed initially) is that the line segment has (or would have) a y-intercept of 0. So you can get the value of k using rise over run from (0,0) to (10, 800).

Once k is known then we've got enough info to work with. Thanks!
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: benwilko on October 29, 2016, 12:24:26 am
does anyone have a method for Q4 geometry. I chose A but am thinking it's E?
Thanks
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: SexGodDosia on October 29, 2016, 07:32:10 am
Q.4 Geometry pre confident its E, Sun rises from the furthest east point(180e) until closing in on equator (0)

So sun hits M(150deg) at 6:03 and then will travel 8deg to 142e(8x4), Arriving at 6:35am (due to there being 1 Tz)

For a simpler example, Melbourne is at 144 E and perth is at 116E. If melbourne and perth were on one 1tz and sun would rise at 6am in melbourne it wouldn't rise in perth until (28x4) 1hr 52mins later (7:52)


Also food for thought i did e for q.24, and am unsure. St michaels maths teacher did live stream with the age and got E as well so idk (http://www.theage.com.au/victoria/the-80000-question-that-divided-vce-further-maths-students-20161028-gsdd7o.html) Scroll half way down.

Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 08:42:14 am
Q2 core ,
I have a gut feeling its D , if some has a reason its not please explain
Thanks
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: phoebe.pilcher on October 29, 2016, 09:05:46 am
HEEECCCKKKKK I didn't do as well as I thought!!! This is scary!!! Will the next maths exam be harder or easier????
Also do both exam marks contribute towards ATAR or do they add them together?
Has any1 got any tips for my second maths exam???
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 09:26:36 am

HEEECCCKKKKK I didn't do as well as I thought!!! This is scary!!! Will the next maths exam be harder or easier????
Also do both exam marks contribute towards ATAR or do they add them together?
Has any1 got any tips for my second maths exam???

They both contribute 33% each
Plus just doo good on mondays exam
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: phoebe.pilcher on October 29, 2016, 09:36:27 am
Thanks for that!!
has any1 got any ideas for excellent ideas to revise for Monday's exam???? I worked through the revision chapters for my MC exam....
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: jazzycab on October 29, 2016, 09:41:04 am
For those of you wondering about Geometry Question 8, here is my working:

So the answer is D.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: plato on October 29, 2016, 09:43:53 am
But this is not accounting for her remaining stationary for x minutes? I don't think you can use the average travel rate to find a... This question is flawed
Let's talk in terms of y and x.
The given equation for the final section is in the form y=mx+0 or y=mx (or d=kt) which, if extended, must have a "y" intercept at the origin (as, coincidentally, does the equation that represents the average speed for the entire trip).
When she is stationary, this is represented by a horizontal line with equation y=600 (or d=600) that starts at t=6 and stops at t=a.
This horizontal section must stop at the point where she again starts to move, represented by the final portion of the graph that must have a gradient of 80. Simultaneous equations will show that t=a=7.5 for the point of intersection.
Unless a=7.5 you could not get a gradient of 80 for the final section.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: ryunee on October 29, 2016, 09:52:59 am
Core Q6 is histogram , are you sure it the right question?

Ahh sorry I meant Linear Q6!
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 10:04:27 am

Ahh sorry I meant Linear Q6!

From the choices given u can tell n= 2 or 3

Hence u can find k ( 3 or 3/2 )

Those are your gradients , check for which graph has the correct gradient

3/2
Ans : E
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: apan on October 29, 2016, 10:43:23 am
Hey Guys! I just found this and now I'm confused again about Q2 for core. If you scroll down a bit you'll see an example with 3 categories - one is age which is '18 and under' and 'over 18.' The page says that it is a nominal variable.   https://onlinecourses.science.psu.edu/stat504/?q=book%2Fexport%2Fhtml%2F1

Thoughts?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 10:53:30 am

Hey Guys! I just found this and now I'm confused again about Q2 for core. If you scroll down a bit you'll see an example with 3 categories - one is age which is '18 and under' and 'over 18.' The page says that it is a nominal variable.   https://onlinecourses.science.psu.edu/stat504/?q=book%2Fexport%2Fhtml%2F1

Thoughts?

I assumed that the ages have been categorised and similar to that of post codes which are nominal , thats my argument
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: samsung4545 on October 29, 2016, 10:56:33 am
Glad I answered D then. Hopefully my exam nerves didn't ruin my chances of getting a 45+ if for exam 1 my mark is 37-38/40 and I am ranked number one in my cohort.  :-\
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: SexGodDosia on October 29, 2016, 11:20:20 am
Hey Guys! I just found this and now I'm confused again about Q2 for core. If you scroll down a bit you'll see an example with 3 categories - one is age which is '18 and under' and 'over 18.' The page says that it is a nominal variable.   https://onlinecourses.science.psu.edu/stat504/?q=book%2Fexport%2Fhtml%2F1

Thoughts?

Pretty sure difference is nominal is Like above, over / under an age

and ordinal would be age groups like Below 9 10-19 20-29 30-39 etc

Eg, your answer is an age group... I'm between 10-19 vs No I'm not over 50 or yes i am
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: masch on October 29, 2016, 11:27:47 am
I assumed that the ages have been categorised and similar to that of post codes which are nominal , thats my argument

Don't trust American Websites....!!! I'm going with this definition  (see attachment) ...Core Question 2 ANSWER B
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: apan on October 29, 2016, 11:38:41 am
Don't trust American Websites....!!! I'm going with this definition  (see attachment) ...Core Question 2 ANSWER B


This is so confusing!! Maybe vcaa will be kind and accept two answers 😕
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: ayesha2011t on October 29, 2016, 11:43:07 am


This is so confusing!! Maybe vcaa will be kind and accept two answers
I doubt they'll accept 2 but maybe they can just take out the question and hence, all answers are given one mark. Ik they did this once previously
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: SexGodDosia on October 29, 2016, 11:47:54 am
Don't trust American Websites....!!! I'm going with this definition  (see attachment) ...Core Question 2 ANSWER B

If you went to the link it shows the groups in a table
The ordinal variable 'age group' is created from the continuous variable 'age' using five categories:
age group = 1 if age is less than 20;
age group = 2 if age is 20 to 29;
age group = 3 if age is 30 to 39;
age group = 4 if age is 40 to 49;
age group = 5 if age is 50 or more"

You would answer you are one specific group i.e. I'm 30-39

like health i am very healthy, not healthy, low


Vs under 50 and over 50 being a yes or no answer and hence being nominal
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 12:03:02 pm
Can someone please explain Q 7 ( Graphs and relations) to me please
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: masch on October 29, 2016, 12:05:02 pm
Re: Core Question 2
The definition is not based on a Yes or No answer. It's based on whether you can place the categories in a NATURAL order. In this case, the natural order for Under 50 and Over 50 is youngest to oldest.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: ayesha2011t on October 29, 2016, 12:07:43 pm

Re: Core Question 2
The definition is not based on a Yes or No answer. It's based on whether you can place the categories in a NATURAL order. In this case, the natural order for Under 50 and Over 50 is youngest to oldest.
Yeah makes more sense to me. For eg, if you had year levels in a school. It's natural to call the year levels in increasing order...you won't say year 9, then year 2, then year 12.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: DontDrinkAndDerive on October 29, 2016, 12:27:49 pm
Q24 is definitely C.

I taught students that in this case, you'd set PV as negative (since you're "losing" money into the bank), PMT as positive (since you're receiving that money from the bank) and FV as positive.

N:60
I%: 5.2
PV: -130784.93
PMT: ? --------> = 1500.000019
FV: 66992.27
PY: 12
CY: 12

If you want to convince yourself that it works, you could try setting N to 1. Clearly, after only a month, the balance of the annuity won't have come down by much. But it will show you that FV should go in as a positive, even though PV was negative.

N: 1
I%: 5.2
PV: -130784.93
PMT: 1500
FV: ? --------------> 129851.6647
PY: 12
CY: 12

FV comes out as a positive number, so it stands to reason that we should enter FV as a positive number in this question!

The incorrect (I think) option E comes from setting FV as negative. Which essentially says that the bank is going to pay out until the annuity is $0, but then keep paying out until Mai owes the bank $66,992.27!
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: SexGodDosia on October 29, 2016, 12:36:23 pm
Q24 is definitely C.

I taught students that in this case, you'd set PV as negative (since you're "losing" money into the bank), PMT as positive (since you're receiving that money from the bank) and FV as positive.

N:60
I%: 5.2
PV: -130784.93
PMT: ? --------> = 1500.000019
FV: 66992.27
PY: 12
CY: 12

If you want to convince yourself that it works, you could try setting N to 1. Clearly, after only a month, the balance of the annuity won't have come down by much. But it will show you that FV should go in as a positive, even though PV was negative.

N: 1
I%: 5.2
PV: -130784.93
PMT: 1500
FV: ? --------------> 129851.6647
PY: 12
CY: 12

FV comes out as a positive number, so it stands to reason that we should enter FV as a positive number in this question!

The incorrect (I think) option E comes from setting FV as negative. Which essentially says that the bank is going to pay out until the annuity is $0, but then keep paying out until Mai owes the bank $66,992.27!

Th st Michaels teacher did

N:60
I%: 5.2
PV: 130784.93
PMT: ? --------> = -3460
FV: 66992.27
PY: 12
CY: 12



http://www.theage.com.au/victoria/the-80000-question-that-divided-vce-further-maths-students-20161028-gsdd7o.html (2:20 into live stream)

*Not saying i agree just a different opinion of how others worked it out to get e
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 12:37:39 pm
Th st Michaels teacher did

N:60
I%: 5.2
PV: 130784.93
PMT: ? --------> = -3460
FV: 66992.27
PY: 12
CY: 12


http://www.theage.com.au/victoria/the-80000-question-that-divided-vce-further-maths-students-20161028-gsdd7o.html (2:20 into live stream)

In anuity Pv And Pmt are negative :/
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: SexGodDosia on October 29, 2016, 12:43:42 pm
Yes i agree however people probs got both pv and fv+ as its mid term not initial investment so they assumed you take the FV of the 5yr period
of which it was + 130k then just put it as +130k for next period as pv
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 01:02:25 pm
Yes i agree however people probs got both pv and fv+ as its mid term not initial investment so they assumed you take the FV of the 5yr period
of which it was + 130k then just put it as +130k for next period as pv

even though it is mid term , it is the new pv hence making it -ve    ?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: masch on October 29, 2016, 01:13:50 pm
Core Question 24: Just goes to show that this question is assessing how well you can use the Financial solver on the calculator rather than assessing your understanding of the mathematics.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: SexGodDosia on October 29, 2016, 01:16:04 pm
even though it is mid term , it is the new pv hence making it -ve    ?

Yep but thats where people went wrong. Confusion on if its + or - as its mid term.

Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 01:18:05 pm
Yep but thats where people went wrong. Confusion on if its + or - as its mid term.

Yea but how do you know you are right ??

What if your argument is incorrect?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: SexGodDosia on October 29, 2016, 01:20:39 pm
Yea but how do you know you are right ??

What if your argument is incorrect?

I wasn't trying to say i was correct, i was just saying where people went wrong in ending up with 3460.

If it turns out to be 3460 then fair play
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 01:21:46 pm
I wasn't trying to say i was correct, i was just saying where people went wrong in ending up with 3460.

If it turns out to be 3460 then fair play

 you rekon they will give al right for confusion?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: AhNeon on October 29, 2016, 01:30:46 pm
you rekon they will give al right for confusion?
Probably not, like the question itself can be solved by many different ways. I was stumped by it for around 20 minutes before i used my calculator's 'generate sequence' function with the formula u(n)=1.0043 x u(n-1) + D, initial term 130784.93 and subbing in D as each of the options. Checking the 61st term the closest value to the required is when D is 1500.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 01:41:34 pm
Probably not, like the question itself can be solved by many different ways. I was stumped by it for around 20 minutes before i used my calculator's 'generate sequence' function with the formula u(n)=1.0043 x u(n-1) + D, initial term 130784.93 and subbing in D as each of the options. Checking the 61st term the closest value to the required is when D is 1500.

what ever method as long as its 1500 im happy
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: MattC98 on October 29, 2016, 01:44:24 pm
No idea if this will work, or if its warranted but i thought this was interesting for question 2....... basically the same question
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: DontDrinkAndDerive on October 29, 2016, 02:13:44 pm
For Q24:
You don't HAVE to put PV as negative (although that's how I did it). But as long as your PV and your PMT are "different" (i.e. one positive and one negative) then you're fine. And that makes sense to me because PV we're thinking of "giving" money to the bank, and PMT we're "getting" money from the bank.

Now, the only question is whether FV should be positive/negative. If you've put PV is as negative, then FV has to be positive, and vice versa. (As I said in my last post, you can keep everything else the same and set N=1 to convince yourself that that's how finance solver will work!)

Core Q2:
I think the answer is both ordinal. But to be honest, who cares? And what's it got to do with Maths? It annoys me that VCAA have examined the ordinal vs nominal distinction, because it seems pretty meaningless - it doesn't help us to decide on appropriate data displays (the same way that numerical vs categorical, or discrete vs continuous does), and it doesn't tell us anything about how data is collected.

Also, it's worth making note of what key skills haven't been examined on yesterday's paper, because there's a good chance they'll turn up in exam 2. For instance, in Data there were no mean/median smoothing questions, so that's a good chance to be on exam 2.

Good luck for exam 2!
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: XD10602 on October 29, 2016, 02:49:14 pm
I don't know if anyone has asked this already, but could someone please explain to me question 6 of graphs and relations?
Thanks in advance!!
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: staceyschh on October 29, 2016, 03:12:31 pm
For 24 on core, I got E. 3460.

After 5 years, you have $130, 784.93 in your account, you did NOT invest that much. You had that much after 5 years.

if you invested that much into a new annuity account, then the pv would be negative. but you already had that.. so its a positive.


This is what I did:

n= 60
i= 5.2
pv= 130, 784.92
pmt= x
fv= 66,992.27
py/cy= 12

comes out to be -3460
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 03:22:20 pm
For 24 on core, I got E. 3460.

After 5 years, you have $130, 784.93 in your account, you did NOT invest that much. You had that much after 5 years.

if you invested that much into a new annuity account, then the pv would be negative. but you already had that.. so its a positive.


This is what I did:

n= 60
i= 5.2
pv= 130, 784.92
pmt= x
fv= 66,992.27
py/cy= 12

comes out to be -3460

I think we should try manually to see , i think finance solver is complicating it , we should use the formula
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: aidanguo on October 29, 2016, 03:31:44 pm
If I lost 4 marks on exam 1, do I still have a chance of getting a mid 40? provided that I perform well in exam 2?

Based on previous years I understand that losing 4 marks in exam 1 wouldn't get me into the A+ range and that would eliminate my chance of getting a good mark?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: plato on October 29, 2016, 04:00:39 pm
For 24 on core, I got E. 3460.

After 5 years, you have $130, 784.93 in your account, you did NOT invest that much. You had that much after 5 years.

if you invested that much into a new annuity account, then the pv would be negative. but you already had that.. so its a positive.
This is what I did:

n= 60
i= 5.2
pv= 130, 784.92
pmt= x
fv= 66,992.27
py/cy= 12

comes out to be -3460

How did the $130,784.92 get into the account in the first place? Mai had put it, and more, into the account five years ago. This amount has not been paid to Mai because it is still in the investment account.
Since Mai had paid this amount into the account at some stage, this PV must still be negative.
The payment she received each month has been paid to her and so must turn out to be positive.
After another five years, the balance is given as $66,992.27. If the account was closed at that time, what would happen to the money? It would be paid to Mai and so this FV must be positive.

n= 60
i= 5.2
pv= -130, 784.92
pmt= x
fv= 66,992.27
py/cy= 12

This gives the monthly payment to Mia as $1499.9886 or close to $1500    (Answer C)

Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Rosella on October 29, 2016, 04:05:47 pm
In regards to question 2 from core...

My further teacher has told me throughout the year that some (or all, I can't remember) of the authors of the Cambridge book (Peter Jones, Michael Evans, Kay Lipson, and Kyle Staggard) are part of a group who write the end of year exam and are some of the head-honchos of further maths - is this true?

If so, surely the answer has to be B considering their textbook has a nearly identical question where they say the variable is ordinal.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: jazzaa36 on October 29, 2016, 04:09:20 pm
For 24 on core, I got E. 3460.

After 5 years, you have $130, 784.93 in your account, you did NOT invest that much. You had that much after 5 years.

if you invested that much into a new annuity account, then the pv would be negative. but you already had that.. so its a positive.


This is what I did:

n= 60
i= 5.2
pv= 130, 784.92
pmt= x
fv= 66,992.27
py/cy= 12

comes out to be -3460

It's an annuity meaning that your pmt has to be positive as you are earning money monthly NOT  investing (-) as why I got 1500 ??? . This year's exam was too ambiguous, let's hope exam two isn't like this.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: jazzaa36 on October 29, 2016, 04:12:21 pm
In regards to question 2 from core...

My further teacher has told me throughout the year that some (or all, I can't remember) of the authors of the Cambridge book (Peter Jones, Michael Evans, Kay Lipson, and Kyle Staggard) are part of a group who write the end of year exam and are some of the head-honchos of further maths - is this true?

If so, surely the answer has to be B considering their textbook has a nearly identical question where they say the variable is ordinal.

The answers is B, it has been confirmed by an further maths examiner.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Rosella on October 29, 2016, 04:14:56 pm
The answers is B, it has been confirmed by an further maths examiner.

A current examiner? Does this mean that D will be marked wrong (bc some people reckon vcaa will mark both right or just eliminate the question)?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: jazzaa36 on October 29, 2016, 04:27:28 pm
A current examiner? Does this mean that D will be marked wrong (bc some people reckon vcaa will mark both right or just eliminate the question)?

Yeah from a current examiner. Mentioning there is "an order to age" ( question in the textbook that supports this interpretation). However, I really do believe this is one those questions that can be interpreted from different perspectives so let's hope they reward both answers  :D
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Rosella on October 29, 2016, 04:32:11 pm
so let's hope they reward both answers  :D

As someone who selected B, I hope they don't  ;)
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 04:33:27 pm
As someone who selected B, I hope they don't  ;)

Im still saying D

because of it being categorised in a nominal styled manner

similar to that of postcodes
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Rosella on October 29, 2016, 05:08:06 pm
Im still saying D

because of it being categorised in a nominal styled manner

similar to that of postcodes

Age surely has a natural order though, I find it hard to justify otherwise.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 05:10:22 pm
Age surely has a natural order though, I find it hard to justify otherwise.

But if you think about it , they are not being specific are they
either you are or your not
yes or no

Nominal
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: bobstarr on October 29, 2016, 05:44:25 pm
sorry this is sort of related, i have the further exam 1 with me, how do i start a new post so i can post it and have people help me mark it???\
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 05:47:11 pm
sorry this is sort of related, i have the further exam 1 with me, how do i start a new post so i can post it and have people help me mark it???\

Answers have been released on the first page of this forum , we are accusing some challenging question here ,
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: jimbo9 on October 29, 2016, 06:07:51 pm
For those who think $3460 is correct for Q24

If it was right Mai would receive 60*$3460= $216000 in total payments over 5 years and would still have $66992.27 left over, which combined is more than double the $130784.93 which is clearly not realistic.

Always worth reviewing your answers to see if they make sense.

Good luck to all on Monday
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 06:19:57 pm
For those who think $3460 is correct for Q24

If it was right Mai would receive 60*$3460= $216000 in total payments over 5 years and would still have $66992.27 left over, which combined is more than double the $130784.93 which is clearly not realistic.

Always worth reviewing your answers to see if they make sense.

Good luck to all on Monday

if you put 1500 into the equation it makes much more sense
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: fjdkl on October 29, 2016, 07:56:56 pm
If i got a study score of 33 on exam 1 and averaging 85 % in sacs what study score?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Rosella on October 29, 2016, 08:36:53 pm
But if you think about it , they are not being specific are they
either you are or your not
yes or no

Nominal

How specific does it need to be? It doesn't change the fact that there is a clear order between the variables
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 29, 2016, 08:42:25 pm

How specific does it need to be? It doesn't change the fact that there is a clear order between the variables



Hmm im not sure but i think ones perception makes it very tricky
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: staceyschh on October 29, 2016, 10:22:03 pm
Answers have been released on the first page of this forum , we are accusing some challenging question here ,


BOBBY CUZZY WUS GOOD
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: signupedmidexamslol on October 29, 2016, 10:38:21 pm
Regarding the challenge questions :
Core Q2: D -> as the arguments for the age groups being nominal are stronger than them being ordinal looking from a mathematical and logical perspective; as you could re-write those groups as "Yes to being <50" and "No to being <50"- and Yes/No is nominal - ergo in my opinion D is a stronger answer. But again this question is very iffy due to its ostensibly ambitious nature

Q24: C -> http://imgur.com/a/WYaOQ  this image describes all the outcomes quite well ; I initially had E due a mix-up with a positive and negative in financial solver, but fixing that you get 1500 as the pmt. I also manually tried both 1500 and 3460 as the pmt received with a recurrence relation and got the same answer. So I'm very strongly leaning on C, especially due to the fact that many people got C algebraically.

Matrices:

Q8 : A -> if you make a new matrix with A having the win over B- after a 2-step dominance A will clearly be the winner. Trying the same thing with D beating C, and after the 2-step dominance I believe B would be the overall winner rather than A (the 'wanted' winner) . Ergo I'm again strongly confident about this one.


All the other questions seem okay- went over the exam with the top students at my school and we all had the same answers, except of course some of the challenge questions :P . Goodluck to everyone for Exam 2.     
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: SexGodDosia on October 29, 2016, 10:54:36 pm
Q.4 Geometry pre confident its E, Sun rises from the furthest east point(180e) until closing in on equator (0)

So sun hits M(150deg) at 6:03 and then will travel 8deg to 142e(8x4), Arriving at 6:35am (due to there being 1 Tz)

For a simpler example, Melbourne is at 144 E and perth is at 116E. If melbourne and perth were on one 1tz and sun would rise at 6am in melbourne it wouldn't rise in perth until (28x4) 1hr 52mins later (7:52)


Anyone disagree with my logic of Q4 geometry being E or have i missed something?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: surviveandderive on October 30, 2016, 12:12:09 am
Anyone disagree with my logic of Q4 geometry being E or have i missed something?

I'm fairly sure Geometry question 4 was A, I was told this by a few teachers.

You work it out by finding the time difference which was 32 minutes, and then looking at the position of the towns in contrast to Greenwich. Since Portland is closer to Greenwich and the time difference increases positively when traveling East from GMT, it makes sense that Portland would have a time of 5.31AM, with Mallacoota following this 32 minutes later as it is further East. It's the same concept as how New Zealand is ahead of us by around 2 hours - as it is even further East from Victoria. My idea was although the sun rising is an aspect of the question, if you think of the time in Mallacoota being 12.03AM for example, Portland will still be 32 minutes behind and thus be 11.31PM, as it is situated closer to Greenwich. I may be wrong though, I guess we will just have to wait and see.

This and question 2 core are the only ones I feel uncertain about the correct answer. Question 8 from matrices was A, it makes no sense for the answer to be E and for question 24, there are some very convincing arguments regarding C as being correct, and I think someone proved it by substituting $1500 into the recursion model rather than using the financial solver.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: SexGodDosia on October 30, 2016, 09:43:20 am
I'm fairly sure Geometry question 4 was A, I was told this by a few teachers.

You work it out by finding the time difference which was 32 minutes, and then looking at the position of the towns in contrast to Greenwich. Since Portland is closer to Greenwich and the time difference increases positively when traveling East from GMT, it makes sense that Portland would have a time of 5.31AM, with Mallacoota following this 32 minutes later as it is further East. It's the same concept as how New Zealand is ahead of us by around 2 hours - as it is even further East from Victoria. My idea was although the sun rising is an aspect of the question, if you think of the time in Mallacoota being 12.03AM for example, Portland will still be 32 minutes behind and thus be 11.31PM, as it is situated closer to Greenwich. I may be wrong though, I guess we will just have to wait and see.


I disagree, on the logic that The further east you are the earlier the sun comes up(further away from greenwich ), Mallacoota is at 150, portland at 142. sun rises in mAL at 6:03. (Sun rises from East traveling west)

The questions asks you " what time was the sun expected to rise in portland "
For the simplest example,

Melbourne co-ordinates are 144.9631E

Geelong Coordinates are 144.3617E


Sun rose in Melbourne at 6:14 am

Rose in Geelong at 6:16am

Another example

Sydney 151 E
Melbourne 144.9E

Sydney 5:56am
Melbourne 6:14am

This shows closer you are too 1E later it rises

*It would be 5:31 if it was W co-ordinates
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: nattyu88 on October 30, 2016, 12:00:13 pm

Can I please get an answer for question 4 geometry!!
I got E. 6.35am but im seeing conflicting results! Someone who could confirm this answer would be appreciated

I got E. Sun rises from the east.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: bbbbbbb99 on October 30, 2016, 02:11:58 pm
Geometry Question 4 is E,

so the difference is 32 mins but is it before or after is the question.

Lets think about it from a different angle in this scenario perth and melbourne are on same time zone if the sun rises at 7 in melbourne it will rise at approximately 10 in Perth, 3 hours later which reflects the real life timezones. comparing the latitudes of each, Perth is 115°51″ E and Melbourne is 144° 57' E so as you more towards 0 degrees east the sun rise is later and due to in the question Portland is closer to 0 degrees east than Mallacoota the sun rise will be later and therefore the 32 minutes must be added giving 6.35 am.

Question 8 Geometry is D,

I did this without touching my calculator and ill explain how.

in the question we are given the linear scale factor is 2 therefore k2=4,
A single black flag has 4x the area of a white flag and since there are more black flags the total area of black flags is greater 4 times the total area of white flags.

A is wrong less than 4x, B is wrong must be more than 4x, C  is wrong less than 4x, E is wrong less than 4x. This only leaves D as an answer and therefore the correct one.

Regarding question 2 all ordinal data can have questions asked to where it can be viewed nominal to prove something is nominal you must show it cant be ordinal not that it can be nominal. Blood Pressure most agree is ordinal which in itself shows that the argument you cant have groups in ordinal data is wrong as low, normal and high are groups with grouped ranges of blood pressure. and age groups can therefore be ordinal its a question of can something be ordinal with only 2 categories? The definition of that is the answer to whether B is right or D is right.
(http://dissertation.laerd.com/types-of-variables.php) The definition of ordinal in this link says "Just like nominal variables, ordinal variables have two or more categories. However, unlike nominal variables, ordinal variables can also be ordered or ranked."
Investigating the quote 2 categories can be ordinal but it needs to be able to be ordered or ranked. Theres an easy way to order by ages so does that make B correct?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 30, 2016, 03:55:05 pm

Geometry Question 4 is E,

so the difference is 32 mins but is it before or after is the question.

Lets think about it from a different angle in this scenario perth and melbourne are on same time zone if the sun rises at 7 in melbourne it will rise at approximately 10 in Perth, 3 hours later which reflects the real life timezones. comparing the latitudes of each, Perth is 115°51″ E and Melbourne is 144° 57' E so as you more towards 0 degrees east the sun rise is later and due to in the question Portland is closer to 0 degrees east than Mallacoota the sun rise will be later and therefore the 32 minutes must be added giving 6.35 am.

Question 8 Geometry is D,

I did this without touching my calculator and ill explain how.

in the question we are given the linear scale factor is 2 therefore k2=4,
A single black flag has 4x the area of a white flag and since there are more black flags the total area of black flags is greater 4 times the total area of white flags.

A is wrong less than 4x, B is wrong must be more than 4x, C  is wrong less than 4x, E is wrong less than 4x. This only leaves D as an answer and therefore the correct one.

Regarding question 2 all ordinal data can have questions asked to where it can be viewed nominal to prove something is nominal you must show it cant be ordinal not that it can be nominal. Blood Pressure most agree is ordinal which in itself shows that the argument you cant have groups in ordinal data is wrong as low, normal and high are groups with grouped ranges of blood pressure. and age groups can therefore be ordinal its a question of can something be ordinal with only 2 categories? The definition of that is the answer to whether B is right or D is right.
(http://dissertation.laerd.com/types-of-variables.php) The definition of ordinal in this link says "Just like nominal variables, ordinal variables have two or more categories. However, unlike nominal variables, ordinal variables can also be ordered or ranked."
Investigating the quote 2 categories can be ordinal but it needs to be able to be ordered or ranked. Theres an easy way to order by ages so does that make B correct?


Yet again the if you think about it
Yes yu are less than 50 or no
Hence nominal
I think perception plays a part
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Cornrow Kenny on October 30, 2016, 03:58:25 pm
I'm confident that Q2 of core is D, but I can see VCAA taking a simplistic view and saying the answer is B, or alternatively, remove the question entirely.

edit: Also, it's been discussed to death, we will found out the answer in just over a month, so let's move on  :P
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 30, 2016, 04:11:49 pm

I'm confident that Q2 of core is D, but I can see VCAA taking a simplistic view and saying the answer is B, or alternatively, remove the question entirely.

edit: Also, it's been discussed to death, we will found out the answer in just over a month, so let's move on  :P

A month
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: bbbbbbb99 on October 30, 2016, 04:50:40 pm

Yet again the if you think about it
Yes yu are less than 50 or no
Hence nominal
I think perception plays a part

The point you are forgetting is anything ordinal can be analysed in a nominal way but anything nominal cant be analysed in an ordinal way. With the blood pressure you are normal or not normal so does that make it nominal?

the fact it has 2 has no bearing whether it is nominal or ordinal it is whether you can order it. Can you order age groups? Yes therefore it fills the criteria to be ordinal. All it has to do is fill certain criteria to be ordinal you cant disprove it to be, just prove.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 30, 2016, 04:55:46 pm
Can someone explain the perpetuity graph ?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: bbbbbbb99 on October 30, 2016, 04:57:53 pm
Can someone explain the perpetuity graph ?

Perpetuity means that the value of the investment is always the same so a flat line at $80000 its initial value is the answer
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Cornrow Kenny on October 30, 2016, 05:39:54 pm
Can someone explain the perpetuity graph ?
A perpetuity is an investment where the interest earned is the payment you received. Thus, the balance of the loan never changes as whatever interest is earned is paid out.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 30, 2016, 06:13:40 pm

A perpetuity is an investment where the interest earned is the payment you received. Thus, the balance of the loan never changes as whatever interest is earned is paid out.


Though there is an increase in the perpetuity's value right ?
 
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: surviveandderive on October 30, 2016, 06:22:24 pm

Though there is an increase in the perpetuity's value right ?

Only if the payment received after each compounding period is smaller than the interest calculated. If it's the same, the perpetuity will maintain its value indefinitely.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 30, 2016, 06:56:45 pm

Only if the payment received after each compounding period is smaller than the interest calculated. If it's the same, the perpetuity will maintain its value indefinitely.

But for Q 21 core
How do u know ?
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Rosella on October 30, 2016, 07:07:00 pm
But for Q 21 core
How do u know ?

If a question mentions perpetuities then its value will remain constant, and as its value is initially $80,000, it will remain so for the life of the perpetuity.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 30, 2016, 07:10:26 pm

If a question mentions perpetuities then its value will remain constant, and as its value is initially $80,000, it will remain so for the life of the perpetuity.

Bad mistake then
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Cornrow Kenny on October 30, 2016, 07:41:31 pm
Only if the payment received after each compounding period is smaller than the interest calculated. If it's the same, the perpetuity will maintain its value indefinitely.
Then it's not a perpetuity  :P

Perpetuity's balance always remain the same. The interest earned is the payment.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Syedali_ on October 30, 2016, 08:07:34 pm
so it B or D? Q2
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: ayesha2011t on October 30, 2016, 08:10:49 pm

so it B or D? Q2
You'll only find out on dec 12th, move on
Focus on maximising exam 2 marks now
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: sin0008 on October 30, 2016, 09:36:21 pm
why is core question 11 not E.
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: SexGodDosia on October 30, 2016, 09:42:19 pm
why is core question 11 not E.

Because to get E i assume you used y=log x
and the answer is supplied in log y = x format

Y=logx is correct however there is no answer for this to choose hence A
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: bbbbbbb99 on October 30, 2016, 10:21:50 pm
why is core question 11 not E.

It asked for a log transformation on children not HDI
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: blossum on October 31, 2016, 11:18:15 am
Can I use this thread to comment on exam 2? If not ignore this ^-^
I think it was easier than what I anticipated!
Though, I totally misread the intercept question in core for slope... :{
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Haral1399 on October 31, 2016, 02:15:41 pm
These are the Answers I got
Core:
1. b
2. D
3. A
4. E
5. C
6.D
7.E
8. C
9. C
10. B
11. A
12. D
13. D
14. A
15. E
16. D
17. E
18. C
19. A
20. D
21. B
22. E
23. D
24. C

Matrices
1. C
2. D
3. E
4. E
5. C
6. B
7. D
8. A

Networks
1. B
2. C
3. C
4. E
5.A
6. C
7. B
8. B
Title: Re: Suggested Answers (and Discussion) of the Further Maths Exam!
Post by: Roco on November 08, 2016, 09:03:40 pm
I've got a friend who is a marker for further exams, and says that the official answer for Q2 in core is B