2005 HSC Answers (1 Viewer)

[PC]

Here are my answers for today's exam. All care but no responsibility, etc. I'll try to get some sort of PDF or scan version of worked solutions up soon.

GENERAL MATHEMATICS
2005 HSC EXAMINATION

Section I

1. B
2. B
3. D
4. B
5. A
6. B
7. D
8. D
9. C
10. B
11. D
12. A
13. A
14. B
15. D
16. C
17. A
18. C
19. A
20. C
21. C
22. B

Section II

Question 23
(a) (i) Justine's statement is not correct because each person has a different number of tickets, and so each person has a different chance of winning.
(ii) 69/100
(b) (i) 1512 cm²
(ii) 1364 cm²
(iii) 9.8%
(c) (i) 5/12
(ii) tree diagram needs 5/12, 7/12, 4/11, 7/11, 5/11 and 6/11 written on it
(iii) 31/66

Question 24
(a) (i)
1 | 9
2 | 1 3 7 7 9
3 | 4 5
4 | 5
5 | 8
(ii) 28
(iii) Positively skewed
(b) (i) 1.2 mL
(ii) 21 months
(c) L = sqrt(T/2π)
(d) (ii) Western suburbs, should be 16000 instead of 12000

Question 25
(a) (i) X = $200, Y = $1560, Z = $576
(ii) Reece saves $2120 per year so will be able to afford the car
(b) (ii) 67°
(c) (i) 36 times
(ii) 80¢
(iii) Financial expectation changes to 67¢, so Robyn's claim is incorrect.

Question 26
(a) 2008
(b) (i) $15516.36
(ii) $1116.36
(c) (i) 0
(ii) 752 g
(iii) 2.5%
(d) (i) r needs to be 0.005 and n needs to be 108
(ii) $336.16

Question 27
(a) (i) 15000
(ii) April
(iii) Sales of school shoes decrease as the year progresses. This is because they are usually purchased at the start of the school year.
(b) 2580 nautical miles or 2593 nautical miles (depending on the way you do it)
(c) (ii) 43 km
(d) (i) 1.69
(ii) Measure of spread

Question 28
(a) (ii) 80 m²
(iii) $33.28
(b) (i) C = 12x + 700
(ii) 88 people
(iii) $500
(iv) $23 per ticket

 

[positive]

Firstly, how smart are you? What are you ranked in your class and what did ya get in the trials? I wanna check the intregrity of your answers

 

[Digital_Spork]

28(iv) was a price, not a number of people...

 

[Casmira]

Question 28
(a) (ii) 80 m2

fuck yeh!!i got that, question was hard

 

[PC]

Cheers digital_spork! I rushed the last question as my class was just about to come out!

 

[Danni07]

my 2c, q 17 I think should be b as c=2x3+5
Also you're answer for 28aiii seems off to me, I got about 33.27 or something (I didn't write this) I think you may have forgotten to divide by 1000 to get fromlitres to kilolitres

 

[Revolution]

Question 28
(a) (ii) 80 m2

fuck yeh!!i got that, question was hard

Yes, I got it too

 

[Danni07]

Yes, I got it too

Me too! that question really threw me off at first and It took me a while to realise that it was a cylinder, not a sphere *blushes*

 

[PC]

my 2c, q 17 I think should be b as c=2x3+5
Also you're answer for 28aiii seems off to me, I got about 33.27 or something (I didn't write this) I think you may have forgotten to divide by 1000 to get fromlitres to kilolitres

Q17
For n students, cost is $(2n + 5).
When an extra three students go, there are n + 3 students.
So cost is 2(n + 3) + 5 = 2n + 6 + 5 = 2n + 11.

Increase = (2n + 11) - (2n + 5)
= 2n + 11 - 2n - 5
= $6

Q28 (a) (iii)
Amount of water saved per day = 6 L per minute x 3 minutes x 5 times
= 90 litres per day
Amount of water saver per year = 90 x 365
= 32850 litres
= 32.85 kL
Money saved = 32.85 x 1.013
= 33.27705
= $33.28

Crap ... thanks Danni.

 

[Casmira]

I added my marks up and got only 91 raw

 

[Danni07]

Oh damn, I should've read the question better...
Is dividend yeild meant to be a pencentage or monetary value? Because i kept changing my mind throughout the text but I couldnt be bothered looking it up.

 

[positive]

I added my marks up and got only 91 raw

You look like the guy from Neighbours lol

 

[Danni07]

could you please explain how you got c for question 9?

According to your answers, I've gotten 92 raw

 

[PC]

could you please explain how you got c for question 9?
According to your answers, I've gotten 92 raw

Interquartile Range = Upper quartile – Lower quartile(or Q₃ – Q₁)

In the graph there are 800 scores, so the median is at 400, upper quartile is at 600 and lower quartile is at 200.

Upper quartile = 80 (exactly halfway between 75 and 85)
Lower quartile = 45

Interquartile range = 80 – 45 = 35

Answer: C

 

[Danni07]

Interquartile Range = Upper quartile – Lower quartile(or Q₃ – Q₁)

In the graph there are 800 scores, so the median is at 400, upper quartile is at 600 and lower quartile is at 200.

Upper quartile = 80 (exactly halfway between 75 and 85)
Lower quartile = 45

Interquartile range = 80 – 45 = 35

Answer: C

Ahh of course *sigh* I hate stupid mistakes... Thanks for that

 

[Tommy_69]

I added my marks up and got only 91 raw

93% LOL

 

[fugazi]

91 raw mark, according to these answers.

 

[OutOfOrder]

according to ur answers i got 97, i got multiple choice 8 and 9 wrong (stupid mistakes), and for 25) C) i) i dont remember if i just wrote 3/5 or 36, so im taking it as a wrong answer.

 

[asscookie]

From those answers, I'm expecting 90%-94%.

 

[danieljarvis]

for question 25 a i) shouldnt z = 624 , as u change it from months to weeks..

or should i have just multiplied it in months? cos if u do it in weeks he cant afford the car..

fuck, may have lost more marks from that mistake.. or am i right :S