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I think questions of that difficulty, and harder, will definitely come up. Look at, say, q5a from 2011, or any q7s from past years. If you can't get them, you just have to steal as many marks as possible with partial solutions and working-out.

Does anyone else feel like the MX1 HSC became far harder from 2000 onwards? I was cruising through 1995-1999, finishing half an hour early and stuff, and now I struggle to get through every question.

- sine double angle - cosine double angle - tan double angle - AP, GP - line division into ratio - all the circ geom rules - SHM in x given t form - SHM in a given x form - binomial expansion - binomial probability expression - sum, product of roots - permutations - permutations around a circle...

In the markers comments (for extension 2 at least), they've complained about long conclusions before. All you need to do is 'and thus, the statement is true for all integers n >= 1 by induction." or something equivalent.

LOL it was not 4u. It was application of 2u concepts to a question of 3u difficulty, same as every other last question in a HSC 2u maths paper. A question like that would be given as the introduction to a 4u question, with 6 other parts that follow, each harder than the previous one, culminating...

For ci), there must be exactly 2 solutions to the equation representing the intersection of the two shapes. Because this equation is a quadratic over x2 and the intersections are symmetric along the x-axis, there must be one solution to x2=0 which will provide 2 intersections with +/-. $$x^4...

Re: General Thoughts: Mathematics Ext 2 That's what I got. I probably messed up somewhere, but judging by the similarity of other answers (assuming one of those is correct), this should get at least 3/4.

An alternative expression for ai) is m+nCn. You have n+m slots, and n of them will be of one colour, and the other m will be of the other colour.

You could set up an induction with rn, bn and a mutual recurrence between them, I guess. Is this really a 4u question?

mathematics

Always think about your answers after you write them down. Don't see it as just a number. For example, if you found the integral of sin(x) between 0 and pi/2, you'd expect the value to be positive. If the question involved a circle, you'd expect your answer to have pi somewhere. If you're...

Mmm.. retina resolution :) EDIT: goddammit, I think they downscale it -_-

No. Only 3U.

Eek I messed up a bit: all non-vertical POIs become stationary points. Horizontal POIs become stationary points that bounce on the x-axis. A POI is a change of concavity. When you change from concave-down to concave-up, the gradient has been getting steeper downwards for previous x values, but...

I either try to solve the MCQs in my head or work out the circle geometry during the reading time.

Stationary points of f(x) become x-intercepts of f'(x). Regions of positive gradient on f(x) are above the x-axis of f'(x). Regions of negative gradient on f(x) are below the x-axis of f'(x). Horizontal points of inflexion on f(x) become stationary points of f'(x). Vertical points of inflexion...

Does this 'sequence derivative' have a proper term? It comes up all the time in informatics. I've always called it the 'delta array' for lack of a better term. And there's also its 'integral' equivalent, which we call the cumulative array, where the nth term is the sum of terms 0..n. That one...

Straight from the horse's mouth: So you're not certainly alone. The senior marker's notes also say that 'Good writers can break all the rules'.

Re: HSC 2012 Marathon :) If you represent the hexagon's vertices as points on a plane and do lots of coordinate geometry, you obtain the following expression for the angle: $\theta = \tan^{-1}(\frac{\frac{3}{2}\tan10^{\circ}\tan50^{\circ} + \frac{\sqrt{3}}{2}\tan50^{\circ}}{\tan 50^{\circ} -...

Why would that be a non-serious attempt? I was reading an article from a senior marker who said that the BOS get plenty of stories about depression, rape, murder, etc. They're almost universally frowned upon and don't receive very good marks, but they're still attempts.