Suggested Answers (and Discussion) of the Further Maths Exam!

[MattC98]

No idea if this will work, or if its warranted but i thought this was interesting for question 2....... basically the same question

[DontDrinkAndDerive]

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!

[XD10602]

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!!

[staceyschh]

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

[Syedali_]

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

[aidanguo]

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?

[plato]

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)

[Rosella]

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.

[jazzaa36]

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.

[jazzaa36]

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.

[Rosella]

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)?

[jazzaa36]

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 

[Rosella]

so let's hope they reward both answers 

As someone who selected B, I hope they don't 

[Syedali_]

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

[Rosella]

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.