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Interesting & Difficult Question Watch

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  1. File Type: pdf Question 5.pdf (146.7 KB, 42 views)
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    (Original post by constellarknight)
    Another one:
    Ha! Zacken should do this one; I posted an equivalent formulation in his STEP thread just a few days ago!
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    A geometry one:
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  2. File Type: pdf Question 6.pdf (10.3 KB, 52 views)
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    (Original post by Gregorius)
    Ha! Zacken should do this one; I posted an equivalent formulation in his STEP thread just a few days ago!
    I keep meaning to do it, argh! Tomorrow. :-)
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    (Original post by constellarknight)
    Another one:
    This (Q4) is a lot easier - there seems to be a lot of variation in the standard of the questions.
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    I was trying to have a varied range of topics so they haven't always been the most difficult questions in the exam. They're still reasonably interesting though.
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    (Original post by constellarknight)
    They're still reasonably interesting though.
    I think that the average UK A level candidate would replace the word "interesting" with "terrifying". The Aussie standard for people at that age seems exceptional.
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    Well these are from the Maths Extension 2 exam, taken by top candidates, so I guess kinda like STEP(?)
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    (Original post by constellarknight)
    Well these are from the Maths Extension 2 exam, taken by top candidates, so I guess kinda like STEP(?)
    Right, that makes more sense. I thought someone earlier had said that this was standard Aus A level standard.
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    Perhaps top end of A-Level FM, you could say. But even their standard Maths exam (equivalent to A-Level) includes stuff that ours doesn't, e.g. rigorous Euclidean geometry, tan(theta/2) identities, product-to-sum formulae, internal and external division of a line in a given ratio, proof by induction, limits (including sinx/x), differentiation from first principles, properties of the parabola as a conic, curve sketching, small-angle approximations (sinx~x etc.), equations of motion, simple harmonic motion, simple combinatorics, probability (so Australian students are required to study mechanics and statistics), derivatives of inverse trig functions, etc.
 
 
 
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