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

[Syedali_]

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

[bobstarr]

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???\

[Syedali_]

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 ,

[jimbo9]

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

[Syedali_]

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

[fjdkl]

If i got a study score of 33 on exam 1 and averaging 85 % in sacs what study score?

[Rosella]

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

[Syedali_]

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

[staceyschh]

Answers have been released on the first page of this forum , we are accusing some challenging question here ,

BOBBY CUZZY WUS GOOD

[signupedmidexamslol]

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 . Goodluck to everyone for Exam 2.     

[SexGodDosia]

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?

[surviveandderive]

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.

[SexGodDosia]

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

[nattyu88]

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.

[bbbbbbb99]

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?