VCE Further Maths Exam 1 Discussion and Solutions

[tashlyc]

Geometry and measurement:
1. D
2. D
3. C*
4. B
5. C
6. B
7. E*
8. C*

Why is 8 C? I got A, from making an equilateral triangle with sides of 100mm, then figured out the area of that, and minusing this by 3 times the area segment created (with radius of 50 and an angle of 60) to get 403 as the shaded region.

[kirstfletch99]

Geometry and measurement:

Spoiler

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

My answers were similar but I got B for Q3 and A for Q8, not sure how you got C's for them....?

[fish99]

my answers are all the same except for networks Q8 which i got C for. anyone else??

ahhh - nope I got D, could someone explain this Q8 (networks)?

[fish99]

My answers were similar but I got B for Q3 and A for Q8, not sure how you got C's for them....?

yeah I got B for Q3 and A for Q8 as well....

[isobelj]

Here's my answers for Graphs and Relations:

Spoiler

• B
• C
• B
• E
• D
• C
• C
• D

Correct me if I am wrong.

Could you please explain why Q8 is D? I got C. Thanks

[Landa]

Here's my answers for Graphs and Relations:

Spoiler

• B
• C
• B
• E
• D
• C
• C
• D

Correct me if I am wrong.

Got the exact same! 👌

[kirstfletch99]

Just a few questions concerning the solutions here-

Why is Core question 2 B, I thought the whole point of upper and lower fencing was to modify the boxplot and the 5-point summary, so why wouldn't the answer be C?

Also, why is Core question 6 E?

And for networks for question 7, how is C a correct statement? Like why is the answer D?

For Q2 the upper and lower fencing helps you determine outliers but the 5 figure summary is determined from the set of data values and these values are still the same, just some of them are outliers. The minimum and maximum values of the data set CAN be outliers which is why it's B.

For Q6 it has to be E because it's the only option that compares the same number of moths (more than 500) and demonstrates how the percentage that contained this amount of moths varies depending on the trap, supporting the contention. To support the association you have to compare the same class of number of moths across 2 or more of the trap types.

Sorry cant help with the networks one! Didn't do that module

[Finlayh]

Assuming the interest rate increases 0.51 each time - this means that #20 interest rate = 28.93...
Then, 7500 - 7233.83 = 266.17 (the total amount paid) minus the #20 interest rate of 28.93 (266.17 - 28.93) = 237.24
Hope it makes sense, someone else might be able to explain it better....

0n question 23 i got B not D
I get how you got that answer but it asked for the payment which remains the same each time, so 100, as that is what the other ones are. Did anyone else think this?

[akiophy]

Question 7 (Geometry) is really confusing. Can someone actually show working out to why the answer is E.

[mtDNA]

So with Q13 Core, is it B or C? I put C, but if it’s B then I’ll get 39/40  :’(

[deanator71]

Could you please explain why Q8 is D? I got C. Thanks

My decimals may be imprecise, but to show that it is not C:

Pick point A: (1.1, 7.6)
m=2 and n=5 so
Z = 2 * 1.1 + 5 * 7.6 = ~40.2

Pick point C: (3.8, 4.4)
Z = 2 * 3.8 + 5 * 4.4 = ~29.6

Because Z for point A is higher than for point C, C is not the answer. (Was looking for the minimum value and nothing false was observed)

To show that D is the answer:
Point D: Z = 2*7.8 + 6*12.4 = ~90
Point B: Z = 2*4.4 + 6*15 = ~98.8
So the maximum value when m=2 and n=6 is not at point D because 98.8 > 90. (Looking for the maximum and it is not at point D)
So the answer is D.

[fish99]

I get how you got that answer but it asked for the payment which remains the same each time, so 100, as that is what the other ones are. Did anyone else think this?

At the top it says  "The interest rate for this investment remains constant, but the payment may vary" - so on the 20th payment to reach the $7500, the payment was higher while the interest rate stayed the same......

[ella.bazza]

For Q2 the upper and lower fencing helps you determine outliers but the 5 figure summary is determined from the set of data values and these values are still the same, just some of them are outliers. The minimum and maximum values of the data set CAN be outliers which is why it's B.

For Q6 it has to be E because it's the only option that compares the same number of moths (more than 500) and demonstrates how the percentage that contained this amount of moths varies depending on the trap, supporting the contention. To support the association you have to compare the same class of number of moths across 2 or more of the trap types.

Sorry cant help with the networks one! Didn't do that module

Ahh thank you, I just realised I misread the statement C for question 6, that makes more sense haha

[willmac2917]

My answers were similar but I got B for Q3 and A for Q8, not sure how you got C's for them....?

Yeah I got Q3. B and Q8. A.
How are they C and C??

[dec.hargreaves]

ahhh - nope I got D, could someone explain this Q8 (networks)?

nevermind. just had a proper look at it and its B