VCE Further Maths Exam 2 Discussion and Solutions

[mammes]

These are my answers for the exam correct me if i’m wrong thanks:

1)a)i) 72 ii) 25% b)i) 84% ii) 97.5%
c) 105

2)a)place of capture
b) 20
c) 16,36
d)32+(1.5x12)=50, 52 is an outlier
e) Median is greater for grasslands etc

3)a) -46.8+18.9
b)ii) number of moths increases by 1 results in an increase of egg density by 31.3
iii) -412.5
iv) 74.3% variation

4)a) 0.009 b)-14.4+0.009x
c)i) 416
ii)limited reliability bc of extrapolation

5)a) 3375, 71625-3375=68250
b)i) 3375 ii) 4.5%
c) 5.7%

6)a) $203
b) A•=428, An+1=1.015An
c) $454.26

7)a) $1560
b) $805.65

Matrices::

1)a) 159 b)Rolls sold in week 1
c)i) 3.8 ii) [ 0 1 1 ]
2)a) 40% b) 0.4, 0.6, 0.2
c) 750
3)a) 320 b) [250, 250, 300, 200]
c) 30% d) 250

These are incorrect.

97.5% of 1000 is 975

0.009 should've been 0.00854

10^2.85 = 708

asked for interest she paid not how much, so should've subtracted 428 and got $26.26

30% is 25%

[Paolo Grande]

Matrices
             Q1a  159
                  b  number of rolls sold in week 2
                  ci a=$4.65  b=$4.20  c= $3.80
                   ii [0 1 1 ]
                2a  40%
                  b   0.4, 0.6, 0.2
                  c   516
                3a  320
                   b  250,250,300, 200.
                   c 25%
                   d 250

Geometry and Trigonometry
                1ai  760
                    ii  4536
                   b   80cm
                 2a   10pm Wednesday
                   bi  193m
                     ii  015T
                   c    4681km
                   d    4524 km
                 3a    cos-1(50^2+50^2-65^2/2x50x50) = 81 degrees
                   b     438m
                   c     153m
   

[stella18]

These are my answers for the exam correct me if i’m wrong thanks:

1)a)i) 72 ii) 25% b)i) 84% ii) 97.5%
c) 105

2)a)place of capture
b) 20
c) 16,36
d)32+(1.5x12)=50, 52 is an outlier
e) Median is greater for grasslands etc

3)a) -46.8+18.9
b)ii) number of moths increases by 1 results in an increase of egg density by 31.3
iii) -412.5
iv) 74.3% variation

4)a) 0.009 b)-14.4+0.009x
c)i) 416
ii)limited reliability bc of extrapolation

5)a) 3375, 71625-3375=68250
b)i) 3375 ii) 4.5%
c) 5.7%

6)a) $203
b) A•=428, An+1=1.015An
c) $454.26

7)a) $1560
b) $805.65

Matrices::

1)a) 159 b)Rolls sold in week 1
c)i) 3.8 ii) [ 0 1 1 ]
2)a) 40% b) 0.4, 0.6, 0.2
c) 750
3)a) 320 b) [250, 250, 300, 200]
c) 30% d) 250

Graphs::

1)a) 2 metres b) 8am till 6pm

2)a) 500 metres
b) 200=k x 5
k=200/5
k=40
d) 11 minutes

3) a) 2 b) number of junior lifeguards and senior lifeguards must be equal to or more than 12
c) 220
d)9.6=10
2.4=2



For Question 4 apparently its wrong so im not so sure, and 3)d) for graphs apparently has to be 9.6 and 2.4 instead of the rounded values of 10 and 2, I rounded them because it made sense as you typically dont see 9.6 lifeguards like??

For the core question about significant figures isn't it 0.00854 or similar as zeros after decimal/ only count once a non zero number is there?

[hsbcfob]

Matrices
             Q1a  159
                  b  number of rolls sold in week 2
                  ci a=$4.65  b=$4.20  c= $3.80
                   ii [0 1 1 ]
                2a  40%
                  b   0.4, 0.6, 0.2
                  c   516
                3a  320
                   b  250,250,300, 200.
                   c 25%
                   d 250

Geometry and Trigonometry
                1ai  760
                    ii  4536
                   b   80cm
                 2a   10pm Wednesday
                   bi  193m
                     ii  015T
                   c    4681km
                   d    4524 km
                 3a    cos-1(50^2+50^2-65^2/2x50x50) = 81 degrees
                   b     438m
                   c     153m
 

the walker went 50m west, not east so the bearing should be 345 degrees T not 15 degrees T

[Paolo Grande]

Graphs and Relations
             Q1a.   2m
                  b.   8am-6pm
                 2a   600m
                   b   500/12.5 = 40
                   c   first part from 0 500m at 10 minutes then from 500m to 0m after 18 minutes
                   d   10.98 minutes
                  3a   2
                    b  the total number of lifeguards required must be at least 12
                    c   $220
                    d 10 and 3

[rg_123]

Hey Guys,

For the second question of finance if you divided the 1.5% by 1200, not realising that it was already in the monthly rate, you would drop the mark for part a, but get one mark out of the two for the recurrence relations, for getting the A0 value correct I assume? Would you also qualify for a consequential mark for the last mark of the question if you used your previous (incorrect answer) correctly?

Thanks

[deanator71]

These are my answers for the exam correct me if i’m wrong thanks:
3) a) 2 b) number of junior lifeguards and senior lifeguards must be equal to or more than 12
c) 220
d)9.6=10
2.4=2

For Question 4 apparently its wrong so im not so sure, and 3)d) for graphs apparently has to be 9.6 and 2.4 instead of the rounded values of 10 and 2, I rounded them because it made sense as you typically dont see 9.6 lifeguards like??

In Question 3 of the graphs and relations module, 10 and 2 are outside the feasible region. (As one constraint was y>=x/4 and 2 < 10/4) So the next choice was 9 and 3 as the lowest.

[joojam]

How do all you freak remember your answers? Is the exam posted somewhere? Lol

[superficious]

How do all you freak remember your answers? Is the exam posted somewhere? Lol

I wrote my answers on the back of the formula sheet they gave us to check on thereafter

[Paolo Grande]

Sorry posted 015T should have been 345T in Geometry and Trig Q2 bi

[Tknight]

Hey, so in exam 1 i think I lost 7 marks and in exam 2, maybe 2-3 marks. what study score do you think i'll get?

[mathisfunlol]

Hey, so in exam 1 i think I lost 7 marks and in exam 2, maybe 2-3 marks. what study score do you think i'll get?

Off last years results, A (one off b+) for exam 1, a+ for exam 2, probs be 40ish

Exam one was harder than other years apparently though

[mammes]

Networks Answers:


1a $20
1b Q and R
1c 6, 7, 11

2a Colin must complete tour 2
2b 43 minutes

3a minimum spanning tree
3aii should've made a W at the top and an extended Y at the bottom

4a D and E
4bi AEILN
4bii 6 days
4ci 17days
4cii (tricky question) $4000 G I J L (G being tricky as it wasn't on the critical path but had a float of 1)

[winged dragon 151]

Can someone please confirm for me the answer for the last Business question= $805.65?

I can't confirm but that seems to be the correct answer! (I got the same lol)

[Paolo Grande]

Correction to Core Q6c 454.26 - 428 = $26.26