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

[Syedali_]

Can someone please explain Q 7 ( Graphs and relations) to me please

[masch]

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.

[ayesha2011t]

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.

[DontDrinkAndDerive]

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!

[SexGodDosia]

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

[Syedali_]

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 :/

[SexGodDosia]

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

[Syedali_]

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    ?

[masch]

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.

[SexGodDosia]

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.

[Syedali_]

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?

[SexGodDosia]

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

[Syedali_]

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?

[AhNeon]

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.

[Syedali_]

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