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We do have a BoS trial paper for Chemistry for practice questions...

I have moved this to the Maths forum along with your other threads. Going forward, please post Maths questions in the relevant Maths forums, not General Discussion. Thanks!

Just expand the RHS using compound angles and it works out. You actually don't even need to memorise this because it's in the reference sheet.

As a hint 1+\cos\theta-i\sin\theta = 2\cos^2\frac{\theta}{2}-2i\sin\frac{\theta}{2}\cos\frac{\theta}{2} = 2\cos\frac{\theta}{2}\left(\cos\frac{\theta}{2} - i\sin\frac{\theta}{2}\right) = 2\cos\frac{\theta}{2}\left(\cos\left(-\frac{\theta}{2}\right) + i\sin\left(-\frac{\theta}{2}\right)\right)

It is definitely possible to have very difficult questions in either of those topics. See Q15 and Q16a) of the 2020 BoS trials. The only topic that I would consider “hard” that is removed from the syllabus is Harder Ext1 where they had the freedom to ask any question they really want to...

Thanks to everyone that attended today for the Chemistry BoS trial exams! This was our first ever year doing trial exams for this subject so hopefully you found the paper to be useful and interesting! Massive thanks to jazz519 for writing the paper and Drdusk for coming to help supervise the...

Then do the BoS trial papers...(shameless promo here)

For the first part, is X meant to be a discrete random variable? If so, the notion of a pdf does not exist. It is actually the pmf (probability mass function). If so, then we have P(X=x) = (1-p)^{1-x}p The cumulative distribution function is given by F(x) = P(X \leq x) = P(X=1) + P(X=2) +...

Just a reminder the Chemistry exam is on tomorrow afternoon at Chatswood! On the day, you will be required to provide your mobile details (for potential contact tracing purposes) and be subject to a temperature check. Please speak to reception and you will be directed to the Jeff Bezos/Sheryl...

It should be possible. The only thing is that the questions are spread out between multiple people marking, so somehow have to coordinate collecting it from each person...

Pending someone giving that, feel free to name a handful of specific questions you want to know the answer to and we can provide a brief outline of the solution.

A small handful of spots have opened up for the Chemistry exam from people withdrawing their registrations. If you are interested in attending, please let me know as soon as possible. Likewise, if you are no longer able to attend please let me know as well.

Updated files with some typo fixes

Thanks to all those that attended today for the Maths BoS trial exams! Hope you guys found the papers challenging and interesting. :p Massive thanks to the rest of the team who helped put the questions and paper together (Paradoxica, sharky564, jjlim7, RealiseNothing, Kingom to name a few)...

Just a reminder the Maths exams are on tomorrow at Parramatta! On the day, you will be required to provide your mobile details (for potential contact tracing purposes). Please respect and observe distancing rules. Mask wearing is highly encouraged (though not required). If you are feeling...

Another update. We have just hit our registration cap for all exams! Any new registrations from now on will be placed on the reserve list. Should any spaces be freed up, I will let you know and ask you to re-confirm your registration. As mentioned in my earlier post, if you are currently...

Hi all, Thanks again to those who have registered so far! If anyone who has registered is no longer able to attend, please notify me as soon as possible so I can free up more spots for others who can make it. We are still accepting registrations for now but we are getting close to the...

For the second question, start with the scenario where the product of two values in the toss is already a perfect square. This should cover the majority of the cases. When the product of the two values is already a perfect square, then the only way to get the final product to be a perfect...

Thanks to everyone who has registered so far! Some good news to add. Given the higher than expected demand we have received for the Chemistry exam, we have secured another room from the venue (with physical distancing of course). This means we will lift the Chemistry exam registration cap from...

Your internal mark is a reflection of your internal performance alone. Your own external mark is effectively independent of that. External marks of the cohort (not the individual) are used as a “guide” to calibrate where the cohort’s collective internal marks should be relative to the state...