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This is for HSCers - veterans please don't answer, at least until it's been open for a while. You are permitted to climb an n-step staircase by climbing one or two stairs with each step. For example, you might climb a 12-step staircase as follows: 2-2-1-2-1-1-1-2 Explain why the number of ways...

Some 2 Unit Trial Papers: https://drive.google.com/drive/folders/0B2v56RP5XU7GVzYwSWJGX19Zclk?usp=sharing

Some Extension 2 Trials: https://drive.google.com/drive/folders/0B2v56RP5XU7GZ2RDWFdwMFdIM0U?usp=sharing

Some Extension 1 Trials: https://drive.google.com/drive/folders/0B2v56RP5XU7GcVliSmI5ekZtdUk?usp=sharing

Link: Extension 2

A link to selective HS trial papers: Extension 1

2 Unit

Here are links to some 2016 Trial papers: 2 Unit Extension 1 Extension 2

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Here are 16 selective school 2015 Ext 1 trials: https://drive.google.com/folderview?id=0Bw6Jsw5hm__LfmVsLWJIT2VkRmFwa00zVzBBa21WT21KRkdsbVVsbDJRQml4WnFwbFRPWXc&usp=sharing

Here are 17 selective school 2015 trials: https://drive.google.com/folderview?id=0Bw6Jsw5hm__LfmRoWk9RZ2Q5dlQtb1FXU3FUS3BIbW5zWkRYX2ctWXdzbE1VY3ppQ0tQWjQ&usp=sharing

Can it be shown algebraicly (ie. without calculus) that a hyperbolic paraboloid is doubly ruled? I mean ... using 'high school standard' algebra.

I notice that the posts I made yesterday do not appear under "Find latest posts". My most recent post on that list is from June 3. Could this be fixed.

The attachment shows for each subject the rough percentage of the candidature who score a mark which equates to an ATAR of 99 or more. Only subjects which typically attract more than 2000 candidates are shown. Edit: Left off General Maths. Its around 0.5%

Is it just me, or is this site EXTREMELY slow today?

Time to join the bandwagon and add my (hopefully) finished solutions.

We all know the product rule f ' = u'v + uv' When you keep differentiating you get f '' = u''v + 2u'v' + uv'' f ''' = u'''v + 3u''v' + 3u'v'' + uv''' f '''' = u''''v + 4u'''v' + 6u''v'' + 4u'v''' + uv'''' So you get something akin to the binomial expansion. (And the undifferentiated f = uv...

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