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  1. HSC2014

    How to increase my chances of a scholarship

    Hey, I know to receive a scholarship requires academic performance alongside extra curricular. How can I go about the latter? I have no involvement with my current school (which I tremendously regret) and have tried searching online extensively for volunteer programs and other opportunities...
  2. HSC2014

    Complex number representations

    On the argand diagram A, P, Q respectively represent complex numbers 1, z1, z2. Construct point R such that the triangles OAP and ORQ are similar. Hence, find the geometrical meaning of the point R. I have no clue; could someone help please? Thanks :)
  3. HSC2014

    What are your strongest subjects?

    Hi guys, just wondering where everyone's strengths are in terms of subjects? I like to think math is my strongest followed by the sciences. And far behind is english. P.S. If you're english oriented please help me T_T I can help with math!
  4. HSC2014

    Square Roots of a Complex Number

    Question: Find the square roots of -21 + 20i My solution: root (-21 +20 i ) = root [ (2)^2 + (5i)^2 + 2 (2) (5i) ] = +- (2 + 5i) Is this acceptable? My concerns involve the shortness of the solution. I expressed -21 + 20i as a perfect square (it is pretty clear to me) and so I am able to obtain...
  5. HSC2014

    Count the number of F's (20% succeed)

    [Try before looking at comments!] Apparently only 20% of people get this right; how many F's are this in image? https://www.dropbox.com/s/s6e093gv69q35g0/Count%20the%20Fs.PNG
  6. HSC2014

    Domain vs Natural Domain

    What is the difference between domain and natural domain? Is there any significance such that a question ask you to find the natural domain which would be different to finding the 'domain'?
  7. HSC2014

    Transparency of Poylmers

    Why do amorphous polymers tend to be transparent whilst crystalline polymers tend to be translucent/opaque? It seems counter intuitive.
  8. HSC2014

    What is the square root of 9?

    I'm having trouble mapping out the difference between principal (positive) square roots and... square roots. E.g. The principal square root of 9 = 3, however -3,3 are square roots of 9. CONFUSING? I was messing around with equations in my head when i stumbled upon root (x^2) = +-x then i...
  9. HSC2014

    Community MX1 Paper

    To conclude the preliminary year, how many are interested in an MX1 paper (created by me)? The idea is to differentiate people of different schools to establish a relative ranking in the state. This data (arranged in a spreadsheet) will allow for motivation, competition, and also a reality...
  10. HSC2014

    HSC Chemistry Overview

    I'm about half way through the first module "Production of materials" and in all honesty it is quite boring (to me), containing a lot of theory which requires memorising (properties of polymers, their uses, social impacts, etc). Is this what HSC chem is like? To give an example, the...
  11. HSC2014

    Extended Response

    People sell their english essays and creative writings, however what about the other text types such as feature articles, speeches, and interviews? Why are they neglected? I've been lead to believe that the Board of Studies can demand them in the HSC exams. Insight please :)
  12. HSC2014

    Quotes without techniques?

    Should you utilise quotes in an essay that have no techniques but instead strong textual evidence that support your view/thesis? I heard this was a no no
  13. HSC2014

    The basics (surface tension)

    When you pour water into a glass, it concaves upwards due to Adhesive forces > cohesive forces near the edges of surface But how can this be? Adhesive forces in this case are dispersive whilst cohesives forces are hydrogen bonding? So dispersion > hydrogen bonding? !?!?!??!? Edit: I think the...
  14. HSC2014

    Finding equation of parabola

    Q: Find the equation of the parabola whose focus is (-3,-1) and directrix 3x - 2y = 5 As far as I can tell this is a slanted parabola, since directrix is slanted? If I let (x,y) be a point on the parabola then (x+3)^2 + (y+1)^2 = (3x - 2y -5)^2/ 13 (distance of (x,y) from focus and...
  15. HSC2014

    Complex Numbers Thereoms

    I've been able to prove that |z1z2| = |z1||z2| and coinciding that arg z1z2 = arg z1 + arg z2 However what about |z1/z2| and arg z1/z2? (arg z1/z2 = arg z1 - arg z2) I'd assume the proofs are very similar since the division function is essentially the multiplication function in inverse however...
  16. HSC2014

    What is crystallisation of water?

    Can someone please help me understand this concept a bit more clearly? As far as I know, it relates to water being chemically attached to other compounds (ionic, covalent?) whilst in its crystal structure (which is just ice?). Is this correct? How can H2O even be CHEMICALLY attached to another...
  17. HSC2014

    Ethylene vs Ethene

    Why does the HSC syllabus and textbooks address the compound as ethylene if it's IUPAC nomenclature is ethene?
  18. HSC2014

    Help: Easier questions from 2007 AMC

    14. Two rectangular garden beds have a combined area of 40 m^2. The larger bed has twice the perimeter of the smaller and the larger side of the smaller bed is equal to the smaller side of the larger bed. If the two beds are not similar, and if all edges are a whole number of metres, what is the...
  19. HSC2014

    Simultaneous equations help

    n/x = [n/(x+5)] +6 and n/(x+5) = [n/(x+10)] +4 Solve for n Any help appreciated! Edit: Original question: When 5 new classrooms were built for a school, the average class size was reduced by 6. When another 5 classrooms were built, the average class size reduced by another 4. If the number...
  20. HSC2014

    Permutation question

    Q: How many even numbers less than 600 can be formed using the digits 2,3,4,5,7,9 (no repetition)? My probability skills are very weak, can someone help me :( I tried drawing up a tree diagram to get an idea of how to approach the question, but it didn't help. (Ans: 36)
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