# Thread: 2006 HSC Mathematics Solutions

1. ## 2006 HSC Mathematics Solutions

Here are my worked solutions to the Mathematics (2Unit) HSC 2006. I apologise to those who downloaded the earlier versions, there were some minor calculation errors that have been fixed in the newer version of the solutions available here.

Fixes:
• The proof of Q6 a) iii. is now included as is Q7 which were accidentally left out.
• Small trig evaluation errors made in evaluating sin of 2pi/3 were corrected.
• The final two questions Q10 b) iv. and v. will be added shortly.
Once again I sincerely apologise if you were worried because you downloaded a earlier solution file. You must excuse me I was working the solutions late between 11-12pm at night and small errors seem to be the consequence of that.

Mathematics (2Unit) HSC Solutions - 2006 (v1.25)
(Question 10 b) iv. v. will be included in v1.3) 2. ## Re: 2006 HSC Mathematics Solutions

oh these are so hot 3. ## Re: 2006 HSC Mathematics Solutions

just a few mistakes but..but u did well. But you missed a whole question! 7 i think.. 4. ## Re: 2006 HSC Mathematics Solutions

Oh , I did too... i have written the solutions to Q7... they will be included in this file and available to download by 12:30pm Today.

if you could forward the mistakes you found to my email that would be apprecitated!!  5. ## Re: 2006 HSC Mathematics Solutions

Question 4a ii and iii are wrong.. use cosine rule instead... answer for bd should have been the square root of 27 6. ## Re: 2006 HSC Mathematics Solutions

Isn't the sine rule question in q1 wrong too? 7. ## Re: 2006 HSC Mathematics Solutions

gah how could you be bothered doing the whole paper for the second time? i never want to see maths again - except your solutions to see how i went! oh, and chemistry mole/equation work... 8. ## Re: 2006 HSC Mathematics Solutions

don't worry - thought you were a current hsc student  9. ## Re: 2006 HSC Mathematics Solutions

why doesn't it let me look at the solutions stupid comp 10. ## Re: 2006 HSC Mathematics Solutions

yeh its not working for me either.. wats the deal ? 11. ## Re: 2006 HSC Mathematics Solutions

Question 3: c) (ii) you have 13/2, shouldnt it be 14/2?? as n=14?? or am i wrong 12. ## Re: 2006 HSC Mathematics Solutions

man this is the fastest dlz eva.... 13. ## Re: 2006 HSC Mathematics Solutions

i have a lil discrepancy with 2)c)
i got a far more complicated equation than that.
i got the same gradient.

but instead of doing x=0 and y=1,
i used found out y via x-> y=cos2x
which gave y= 1/2

and then did y-y1=m(x-x1)
which equaled
y- 1/2 = -(sqrt3)[x- pi/6]
2y - 1 = -x[sqrt3] + [[pi](sqrt3)]/6
-> x[sqrt3] + 2y - 1 - (pi[sqrt3])/6 = 0

welll that's just me .. . lol 14. ## Re: 2006 HSC Mathematics Solutions

in 2 (c) ... shouldnt the y-value be ...... y = cos2 (pi/6) = 1/2

im no maths expert.. but correct me if im wrong 15. ## Re: 2006 HSC Mathematics Solutions

yes.. i got same at Shinji.. and he is like boy genius lol 16. ## Re: 2006 HSC Mathematics Solutions Originally Posted by shinji
i have a lil discrepancy with 2)c)
i got a far more complicated equation than that.
i got the same gradient.

but instead of doing x=0 and y=1,
i used found out y via x-> y=cos2x
which gave y= 1/2

and then did y-y1=m(x-x1)
which equaled
y- 1/2 = -(sqrt3)[x- pi/6]
2y - 1 = -x[sqrt3] + [[pi](sqrt3)]/6
-> x[sqrt3] + 2y - 1 - (pi[sqrt3])/6 = 0

welll that's just me .. . lol
y - 1/2 = -(sqrt3)[x - pi/6]
2y -1 = -2(sqrt3)[x - pi/6]
2y -1 = -2(sqrt3)x +([sqrt3]pi/3)
2(sqrt3)x +2y -1 -(pi[sqrt3]/3) = 0

i think you will find ... Changed the solutions accordingly grr.. stupid mistakes i made late at night. 17. ## Re: 2006 HSC Mathematics Solutions

woops. mybad. lol
a little misclculation error for me as well there. haha
im pretty sure ididn't do it in the exam~ XD

and ur welcome =D

@sando: me? lil genius boy? i wish! haha 18. ## Re: 2006 HSC Mathematics Solutions

I've been trying to open these solutions all day but it just wont seem to work and i was wondering whether any1 had any suggestions? 19. ## Re: 2006 HSC Mathematics Solutions Originally Posted by falbrav
I've been trying to open these solutions all day but it just wont seem to work and i was wondering whether any1 had any suggestions?

yeh i had probs as well. insted of opening jsut save it to ur pc. worked 4 me. 20. ## Re: 2006 HSC Mathematics Solutions Originally Posted by rolfey24
yeh i had probs as well. insted of opening jsut save it to ur pc. worked 4 me.
I've moved the file to a faster server, so you should be able to download the solutions easier now, thanks shinji for your help  21. ## Re: 2006 HSC Mathematics Solutions

Cool. I think I got 90/120...im so happy about that:wave: 22. ## Re: 2006 HSC Mathematics Solutions

where de hec u gettin cosine rule for dat qn from, u juz take the angle from 180 degrees and den dat gives u angle DBA hence angle B= angle A since base angles of isoceles r equal den for length of BD you use L=radius times the angle from angle B... duz any1 else agree, correct me if im wrong????:rofl: 23. ## Re: 2006 HSC Mathematics Solutions

Thanx for putting up the solutions .. the answer for 10 b v) - the minimum area is 32(root)3 cm^2, but i don't remember part iv).

Also with question one - ur calculator was in radians, so the angle in part d is wrong.. it should be 18 degrees (nearest degree) not 35 degrees. 24. ## Re: 2006 HSC Mathematics Solutions

im pretty sure the vertex for Q9 a is (3, -1) hence the focus is (3, 2)

cause its

12y = x^2 - 6x - 3

add 12 to both sides

12y + 12 = x^2 - 6x + 9
12(y+1) = (x-3)^2

is it 25. ## Re: 2006 HSC Mathematics Solutions

That's what I got. There's another thread where people said they also got (3,2) #### Thread Information

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