BoS Maths Trials 2018 (2 Viewers)

[Trebla]

Update - There will be catered food provided after the Ext 2 paper around lunch time!

 

[Trebla]

This is on tomorrow! The venue is a short walk to Town Hall station at Level 2.

 

[Paradoxica]

We are aware of train delays, or own crew is affected by this, so you will not miss out on the start, please don’t be a no show

 

[Trebla]

We will likely be starting after 10am

 

[Drdusk]

Imao always that one integral in question 11a rip

 

[BLIT2014]

Hows the food? Stuck at Uni with no free food

 

[Drdusk]

Hows the food? Stuck at Uni with no free food

Unlucky, the food was great. Subway.

 

[BLIT2014]

Unlucky, the food was great. Subway.

What's the CQ city campus like? I've walked passed it so many times and have always been curious.

 

[Drdusk]

What's the CQ city campus like? I've walked passed it so many times and have always been curious.

It was actually quite a small uni, at least much smaller than I expected.
The rooms looked nice and tidy, but the floor was quite small tbh. Felt more like an office building than a Uni

 

[Paradoxica]

What's the CQ city campus like? I've walked passed it so many times and have always been curious.

The toilet of the second floor is comparable to USYD Carslaw

 

[Trebla]

Thanks to everyone that attended on the day! Hopefully you guys got some decent practice out of some challenging and interesting questions. The papers are attached below. Please note that they have incorporated some minor feedback on the day so they may differ slightly to the hard copy you have.

Massive thanks to Carrotsticks, Paradoxica, calamebe, jjlim7 and ml125 for helping supervise on the day. Also big thanks to the staff from CQU and iStudy for helping to organise the venue.

We will begin the process of solution writing and marking in the next few weeks and will upload these in due course (before your first maths exam of course!).

In the meantime, if you want any hints/guides on specific questions or just want to discuss the paper feel free to post in this thread. Keen to hear your thoughts on both the papers. Were there any questions you particularly liked? How was the difficulty in general and in comparison to previous years (if you attempted those)?

 

[Paradoxica]

why everyone skip q16 ;_;

 

[1039213]

Both the papers were challenging and orginal in their own ways. Questions such as the milk one in 3u and non-uniform circular which turned into a projectile were both creative and challenging. Thanks again for an amazing day, never gonna forget being humiliated that much!!!!!

 

[Drdusk]

I forgot the projectile motion equations, and I knew how to do the question as well which just makes me even more sad

I did some of 16, like 2 parts.

 

[HAX0R]

why everyone skip q16 ;_;

Probably cause half of us got so demoralised from being unable to do Q11a

 

[Drdusk]

Would it be right to say for the induction question, in the proving step you are required to prove its true for 2^(k+1) people.
= 2*(2^k)
=2^k + 2^k, but by assumption P1 always wins for 2^k people, hence he must win if another 2^k people are added.

Is that the correct way of doing it because I have no idea imao.

 

[Drdusk]

i don't think u can make that assumption; after one turn (or rotation) for 2^k+1 player we get the exact case for 2^k player; as half of the player are removed+starting from same spot because of the fact that it is an even number.

This is very close of the content ive seen in maths competitions lol
still did shit

Yeah if we get the exact same case as 2^k players, cant we just use our assumption where we assumed that P1 always wins for (m=k) 2^k players, and hence it would be true by induction

 

[BLIT2014]

why everyone skip q16 ;_;

Did anyone draw anything on their papers?

 

[Paradoxica]

Did anyone draw anything on their papers?

I believe the correct question would be did anyone have a q16 to hand in at all. And we had less than half of them attempted.

 

[Paradoxica]

but how do u do q16 a) i) because it seems independent of n which doesn't make sense for me; eg if k=1; then with n=10 prob of winning is 1/10 while with n=3 it's 1/3.

what do you mean? you just replace n with k, they're just variables.