Suggested Answers (and Discussion) of the Further Maths Exam 2!

[brenden]

Hey everyone!

Click the dropdown boxes below for the suggested exam answers. A copy of the exam can be found here!.

Please note that these answers are from Year 12 students who just finished the exam. There may be mistakes. Some questions may not be answered. We are relying on you to point out where these answers could be better, either by correcting mistakes or by providing answers for missing modules!

Statistics

Spoiler

Question 1a)
i)17.8
ii) 0

Question 1b)
Dot plot should have been circled on the 23rd number... the dot just before the 3mm of daily rainfall.?

Question 1c)
i) 16
ii) 10%

Question 1d)
Histogram should be really high on the left of the graph and then very low on all other parts.

Question 2a)
i)Boxplot points should have been at 16, 21, 25, 31, and 38.
ii) 75%

Question 2b)
i) Positively Skewed with an outlier; Approximately Symmetric
ii) Upper fence = 15.5
iii) Median temperature decreases with additional month with approximate examples

Question 3a)
Strong Positive Linear

Question 3b)
i) Apparent temperature = -1.7 + 0.94 x actual temperature
ii) Apparent temperature is -1.7 ºc when actual temperature is 0 ºc

Question 3c)
97% of variation in apparent temperature is explained by variation in actual temperature

Question 3d)
i) Linearity
ii) Lack of pattern; linearity confirmed

Question 4a)
Mark graph at 75, 60, 68, 62

Question 4b)

Recursion and Financial modelling

Spoiler

Question 5a)
$15000

Question 5b)


Question 5c)
4%

Question 5d)
i)1.04^n x 15000
ii)$22203.66

Question 6a)
16000 = 38000 - 8d
d = 2750

Question 6b)
c0 = 38000, cn+1 = cn - 2750

Question 6c)
55c ($0.55) per km

Question 7a)
i) $65076.22
ii) $4676.22

Question 7b)
$28204

Matrices

Spoiler

Question 1a)
4x1

Question 1b)
i) [ 6000 ]
ii) Total money gained over the month through bookings

Question 2a)
Ben and Elka

Question 2b)
Amara and Dana

Question 3a)
d= 298
e= 94
f=130

Question 3b)
0.65x520 + 0.25x320 + 0.25x80 + 0.5x80 = 478

Question 3c)
20 customers

Question 3d)
71%

Question 3e)
i) People left the study in 2017 and 2018; 80 people left each year and did not participate
ii)190 customers

Networks

Spoiler

Question 1a)
Alooma and Easyside

Question 1b)
i) E to D
ii) Driver leaving for Campville or Easyside might decide to go back

Question 2a)
Ramp V

Question 2b)
X - Y - T - U - Z - V - W

Question 2c)
4 ways

Question 3a)
11 days

Question 3b)
A - E - I - K

Question 3c)
Activity H

Question 3d)
$2000

Question 3e)
i) End of E to Finish
ii) 9 days

Graphs and Relations

Spoiler

Graphs and Relations (from memory)
Question 1a)
$1500

Question 1b)
15 goals

Question 1c)
 $1000

Question 1d)
28 goals

Question 2a)
300 goals

Question 2b)
?

Question 2c)
$7.50

Question 3a)
There can be at most 2 Jink hockey sticks for every Flick hockey stick

Question 3b)
y is less than or equal to 300

Question 3c)
$38200 (I think) max value was (200,300)

Question 3d)
m=84 n=84

Geometry

Spoiler

1a) 5755 mm2
1b) 214 mm
2a) 25m
2b) 5O
3a) 6255 km
3b) 4:32pm Thursday
4a) 142m
4b) 087oT
5a) 13m
5b) 199m2

[Gromekk]

definitely easier than mc, seems some had trouble finishing in time though

[dan1019]

What did people get for the lump sum question??

[dan1019]

I got like 54000 and I'm pretty sure I'm wrong as well other people were getting like 24000 give it take a few but I'm not sure

[Jayz2398]

What did people get for the lump sum question??

I ended up getting $28204.02, calculated via the difference between FV after the first 3 years of the loan, and PV for the last 3 years of the loan.

[zfan111222]

what an easy exam....... i finished wit about 20 min left... much easier than exam 1 and no ambiguous questions

[ringring]

Much easier comparing to previous years and also the mc exam, finished 15 mins before although the explanation questions were a bit tricky I thought

[dan1019]

I ended up getting $28204.02, calculated via the difference between FV after the first 3 years of the loan, and PV for the last 3 years of the loan.

Ya I think that's right

[Buccheri]

Was the range for the first question 16.8?

[dan1019]

17.8

[ahmed2]

What was the -80 in the matrix for travel

[bulbasaur]

This is what I got from memory (Some might be wrong) 

DATA

17.8

0

16

10%

75%

Positively Skewed with an outlier

Approximately Symmetric

Upper fence = 15.5

Median temperature decreases with additional month with approximate examples

Strong Positive Linear

Apparent temperature = -1.7 + 0.94 x actual temperature

Apparent temperature is -1.7 ºc when actual temperature is 0 ºc

97% of variation in apparent temperature is explained by variation in actual temperature

Linearity

Lack of pattern; linearity confirmed


FINANCIAL

$15000

4%

1.04^n x 15000

$22203.66

c0 = 38000, cn+1 = cn - 2750

55c ($0.55) per km

$65076.22

$4676.22

$28204

MATRICES

4x1

[ 6000 ]

Total money gained over the month through bookings

Ben and Elka

Amara and Dana

d= 278 e= 94 f=130

0.65x520 + 0.25x320 + 0.25x80 + 0.5x80 = 478

20 customers

71%

People left the study in 2017 and 2018; 80 people left each year and did not participate

190 customers

NETWORKS

Alooma and Easyside

E to D

Driver leaving for Campville or Easyside might decide to go back

Ramp V

X - Y - T - U - Z - V - W

4 ways

11 days

A - E - I - K

Activity H

$2000

End of E to Finish

9 days

[brenden]

This is what I got from memory (Some might be wrong) 

DATA

17.8

0

16

10%

75%

Positively Skewed with an outlier

Approximately Symmetric

Upper fence = 15.5

Median temperature decreases with additional month with approximate examples

Strong Positive Linear

Apparent temperature = -1.7 + 0.94 x actual temperature

Apparent temperature is -1.7 ºc when actual temperature is 0 ºc

97% of variation in apparent temperature is explained by variation in actual temperature

Linearity

Lack of pattern; linearity confirmed


FINANCIAL

$15000

4%

1.04^n x 15000

$22203.66

c0 = 38000, cn+1 = cn - 2750

55c ($0.55) per km

$65076.22

$4676.22

$28204

MATRICES

4x1

[ 6000 ]

Total money gained over the month through bookings

Ben and Elka

Amara and Dana

d= 278 e= 94 f=130

0.65x520 + 0.25x320 + 0.25x80 + 0.5x80 = 478

20 customers

71%

People left the study in 2017 and 2018; 80 people left each year and did not participate

190 customers

NETWORKS

Alooma and Easyside

E to D

Driver leaving for Campville or Easyside might decide to go back

Ramp V

X - Y - T - U - Z - V - W

4 ways

11 days

A - E - I - K

Activity H

$2000

End of E to Finish

9 days

Thank youuu!!!

[AhNeon]

This is what I got from memory (Some might be wrong) 

DATA

17.8

0

16

10%

75%

Positively Skewed with an outlier

Approximately Symmetric

Upper fence = 15.5

Median temperature decreases with additional month with approximate examples

Strong Positive Linear

Apparent temperature = -1.7 + 0.94 x actual temperature

Apparent temperature is -1.7 ºc when actual temperature is 0 ºc

97% of variation in apparent temperature is explained by variation in actual temperature

Linearity

Lack of pattern; linearity confirmed


FINANCIAL

$15000

4%

1.04^n x 15000

$22203.66

c0 = 38000, cn+1 = cn - 2750

55c ($0.55) per km

$65076.22

$4676.22

$28204

MATRICES

4x1

[ 6000 ]

Total money gained over the month through bookings

Ben and Elka

Amara and Dana

d= 278 e= 94 f=130

0.65x520 + 0.25x320 + 0.25x80 + 0.5x80 = 478

20 customers

71%

People left the study in 2017 and 2018; 80 people left each year and did not participate

190 customers

NETWORKS

Alooma and Easyside

E to D

Driver leaving for Campville or Easyside might decide to go back

Ramp V

X - Y - T - U - Z - V - W

4 ways

11 days

A - E - I - K

Activity H

$2000

End of E to Finish

9 days

Wow thats some amazing memory. core and matrices all seem right. Missing some questions such as drawing histogram and box plot which you cant really post here.

[sajaalkhirsany]

Can someone please uplaod the question book?