VCE Further Maths Exam 1 Discussion and Solutions

[girlonline]

I don't know a huge amount about study scores, but looking at the 2016 scaling report it seems that the cutoff to get an A in exam 1 was 33 marks out of 40. While it will most likely change this year, you'll probably get an A or a B for this exam, which is really great! As far as I know you can still get a pretty good study score for further, as long as you do well in the second exam.

I'd recommend looking over your mistakes from this exam and putting them in your bound reference. This weekend do lots of practice exams, checkpoints questions, or you could even look over previous practice exams you've done and work through your mistakes. Even if you feel like you didn't do that well in this exam there's still Monday. Work as hard as you can and do your best, it'll pay off!!! Good luck friend

Thank you

[addictwithatextbook]

So is it confirmed that 13 is B? If so, could someone explain why it can’t be C?

The peaks aren't really regular. There is one at 7 and 21, but not at 14, so it can't be seasonality based on every week. The peaks occur at day 4 (three days before day 7), day 12 (two days before day 14), and day 17 (four days before day 21), further reinforcing that the peaks don't occur regularly every seven days and hence, no seasonality. Therefore, the fluctuations are irregular (B).

[girlonline]

Losing 7 marks on exam 1 equates to a score of 66/80. That puts you in the top 18.4% of students for the 2016 exam 1.
Without knowing your rank, and assuming you get a very good score of 90% for exam 2 (only 8%of students got above 86% on exam 2 in 2016)  I can estimate your SS in 2016 to be: Very Low A+ , Very Low A , Mid A+ = 38

38. Oh my god noooo 😭😭 My whole atar is going down by so much more than I anticipated 😭 thanks anyway for calculating it. Let me just go dig myself a hole and bury myself in it now 😭

[kit_kat15]

Hey everyone! I'm Brady, the Further Maths lecturer for ATAR Notes. I'll gradually be putting up my suggested solutions for the exam. Take them with a grain of salt (interpret that how you will), as they will be subject to a bit of editing! Hope you're all happy with the exam.

Suggested Answers

(anything starred is subject to change)

Core:

Spoiler

Q1. D
Q2. B
Q3. D
Q4. D
Q5. B
Q6. E
Q7. E
Q8. B
Q9. A
Q10. A
Q11. D
Q12. D
Q13. B
Q14. D
Q15. D
Q16. A
Q17. A
Q18. D
Q19. C
Q20. D
Q21. E
Q22. B
Q23. D
Q24. B

Matrices:

Spoiler

Q1. B
Q2. E
Q3. C
Q4. C
Q5. A
Q6. D
Q7. A
Q8. A

Networks:

Spoiler

Q1. B
Q2. C
Q3. A
Q4. D
Q5. C
Q6. E
Q7. D
Q8. B

Geometry and Measurement:

Spoiler

Q1. D
Q2. D
Q3. B
Q4. B
Q5. C
Q6. B
Q7. E*
Q8. A*

Graphs and Relations:

Spoiler

(Contributed by Deanator71)
Subject to change:
Q1. B
Q2. C
Q3. B
Q4. E
Q5. D
Q6. C
Q7. C
Q8. D

Why's network Q8 B, how would you work it out?

[Joseph41]

A COPY OF THE EXAM.

[addictwithatextbook]

I'm bored so I'll explain the solution for CORE: Question 23, which seemed to be a problem for most students (even in my school).

Initially thinking it was option B, $100, because of regular payments as shown in the table, the question read "the payment value may vary," which means the payment may not be $100. This means methods should apply.

The interest and principal addition of payment number 20 must be known to work out the payment. They can be found in any order.

To find Principal addition:
Balance of investment of payment number 20 - balance of investment of payment number 19
7500.00-7233.83
=266.17

To find Interest:
First find the interest rate.
As per formula, interest of payment number 18 = balance of previous payment * interest rate per compunding period, I did (for TI-nspire CAS)
solve(6977.50*r/100=27.91,r)
in which r=0.4%
Use to same formula to find interest for payment number 20.
7233.83*0.4/100 = $28.93... (I never round until the final answer, chem habits)

Then to find payment:
payment + interest = principal addition, Rearrange to find:
payment = principal addition - interest
payment = 266.17 - 28.93... = $237.23...
which is approximately $237 (option D).

[Angelx001]

What's the answer for Core question 7?!

[omxrk]

Hey guys,

I've got a 94 SAC Average, got 38/40 for Exam 1 & assuming I get around 57/60 (95%) for Exam 2, what kind of study score am I looking at?

Thanks!

[ooft]

How exactly  is question 12, D? Isn't B entirely correct as it does have to be +- 1 to be causal? How is that an incorrect assumption?

[addictwithatextbook]

Why's network Q8 B, how would you work it out?

Cut D and E are not affected by the changing values of pipelines x (as x does flow from source to sink along cut D), so their capacities are always 32 and 27 respectively.

When x=1, cut A has capacity 26, cut B has capacity 24 (note the 6 is omitted when calculating the capacity as that pipe does not flow from source to sink), and cut C has capacity 25 (remember capacity of cuts D and E). Since cut A does not have the minimum cut capacity, it's capacity does not give the maximum flow. Cut B has the minimum cut capacity, but the option for cut B does not show when x=1.

When x=2, the capacities of cuts A, B, and C, increase by 1, to 27, 25, and 26, respectively. Cut B still has the minimum cut capacity out of all cuts, thus cut B if x=2 (option B) is the correct answer.

If you want to consider when x=3, cut B still has the minimum cut capacity, thus cuts D and E do not give the maximum flow.

[addictwithatextbook]

What's the answer for Core question 7?!

The variable number of moths is ordinal as the categories can be ordered from least number of moths caught to the most number of moths caught. The variable trap type is nominal because the categories (sugar traps, scent traps, and light traps) cannot be ordered using a certain unit. Therefore, the answer is E (an ordinal variable and nominal variable respectively).

[ilovethevce]

Hi, I’m hoping someone can help me. I did very well in my SACs throughout the year (98/100 total) and felt a lot of pressure about the exam today as this is my only good subject. I probably let the pressure get to me too much, I made some really, really, really dumb mistakes which I would normally never make and my total score was 36/40. Is my study score ruined? Is there absolutely any chance at all or still getting a 45? What would I need in E2? Thanks for your help 

[Joel1999]

Question 13 of core, after placing the values of the time series into the calculator and producing the least squares regression line there is a positive gradient that suggests an increasing trend. It's not the largest gradient but the definition of an increasing trend is merely an increase over the long term which is clear here. Is this not true?

[AbanoubKT]

Hi, I’m hoping someone can help me. I did very well in my SACs throughout the year (98/100 total) and felt a lot of pressure about the exam today as this is my only good subject. I probably let the pressure get to me too much, I made some really, really, really dumb mistakes which I would normally never make and my total score was 36/40. Is my study score ruined? Is there absolutely any chance at all or still getting a 45? What would I need in E2? Thanks for your help 

Yes for sure, aim for a perfect exam 2 and you will be fine, the multiple choice does not contribute as much, and this exam was considerably harder than last years, so give it your best shot! 👍

[AbanoubKT]

Question 13 of core, after placing the values of the time series into the calculator and producing the least squares regression line there is a positive gradient that suggests an increasing trend. It's not the largest gradient but the definition of an increasing trend is merely an increase over the long term which is clear here. Is this not true?

Thought the same way. Shouldn't the answer be E then?