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Want some valuable exposure to harder questions for the HSC exam? Want to do a practice paper under simulated exam conditions in preparation for your HSC? Know anyone at school who is a gun at HSC maths and/or HSC chemistry? It is that time of year again! This year, Bored of Studies will be...

Coming soon…:spin:

If you have any trial papers on hand, please upload them in our resources section so the rest of the student community can access them not just for this year but for future years as well

You utilise the symmetry properties of the normal distribution. P(Z < -1.12) = P(Z > 1.12) = 1 - P(Z < 1.12)

A bit beyond syllabus but consider a parametric polar form where both r and theta are variables: x = r\cos\theta y = r\sin\theta This reduces the condition to r^2 \sin 4\theta = 4 Your objective is to find the minimum value of r^2. Since the RHS is fixed, we minimise r^2 by maximising \sin...

I am proud to say that it has been 20 YEARS since Bored of Studies was established! :cake: For a bit of history, Bored of Studies was established by four ex-students who did their HSC in 2001 and found a lack of resources for the new syllabus at the time, which inspired them to create the Bored...

It's not as exact as that. It's more like if there is a large gap between 1st and 2nd and a small gap between 2nd and 3rd, then there will still be a large gap between 1st and 2nd and a small gap between 2nd and 3rd after moderation.

Start with the general displacement equation of the particle (and differentiate to get its velocity). Substitute all the information provided to solve for the value of n which is what you need to work out the period.

Generally speaking, if you have a division of polynomials and the polynomial in the denominator can be fully factorised into linear and/or irreducible quadratic factors (i.e the quadratic doesn’t have real solutions) then partial fractions would the first thing you consider trying. Anything else...

Making x the subject gives x = 0.5*(u+1) so dx = 0.5*du. Substitute for x, dx and change the limits accordingly and it should reduce to a simpler integral.

No, you’re not expected to recall integral results outside your formula sheet without working. Just familiarise yourself with them.

Assuming k is a positive integer, another rather crude way to approach it is to realise that \dfrac{k}{(2k+1)(2k+2)}=\dfrac{1}{2}\times\dfrac{k}{(2k+1)(k+1)} Notice that \dfrac{k}{(2k+1)(k+1)} < 1 because each factor in the denominator is clearly larger than the numerator, hence the whole...

It's not too different to training in sport or gaming. The principle is to familiarise yourself with learning a new skill/concept/technique/strategy that is initially brand new to you. With enough practice, over time you will gain enough understanding and confidence so that when you are tested...

You can google for past VCE papers (and also other states) as a starting point

Using the results in the above post \frac{1}{1+xy} +\frac{1}{1+yz} +\frac{1}{1+xz} \\ \geq \frac{9}{3+xy+yz+xz}\\ \geq \frac{9}{3+9} The last line is from the result (shown in the above post) x^2+y^2+z^2 \geq xy + yz + xz

A slightly related tip is always look before you leap. What I mean by that is don't just blindly plunge into scribbling an answer to a question without a plan. STOP and mentally formulate your solution/strategy to solve the problem (i.e. I will do A, which should give me B that I can then use to...

From part b, the sum of the squares of two odd numbers is 8(M+N) + 2 for some positive integers M and N. This is an even number. In order for it to be a square number, a necessary condition (though not sufficient) is that its square root must be even which implies it must be divisible by 4...

I think this is in reference to the following article: https://www.smh.com.au/national/nsw/how-a-young-western-sydney-private-school-produced-one-of-the-standout-hsc-maths-classes-20220118-p59p31.html Not to take away from the achievements of the students in those schools, but care needs to be...

1) After first year (which is basically an extension of Maths Ext2), maths in uni is very different to maths at high school. In high school, there is a lot of rote learning and bypassing of proper rigour. In uni maths, there is a lot more rigour involved (e.g. the formal definition of limits in...

8 students tied equal first for Mathematics Advanced