EXTENSION 2 CHALLENGE/revision (1 Viewer)

[zhiying]

Hey guys, I had a habit of noting down any interesting/challenging question in 4u when I did my HSC, so when I started tutoring I typed them all up for kids' revision and etc.

Just thought I'd share these questions around, some of them aren't exactly too challenging now that I look back at it but yeah.
Most would be at least Q6 in the HSC, so I guess it's good revision for those with trials coming up

I could do them all back in the days so if anyone want solutions I'll put it up, they all handwritten so I cbb uploading all at once

If someone can them all, they get a cookie

http://www.mediafire.com/?zng5ydz3ac8l8dz

Good luck

 

[Carrotsticks]

Challenge accepted (will I get a cookie?)

 

[SpiralFlex]

Will have solutions by tomorrow, got my English exam last. Then party!

 

[zhiying]

Challenge accepted (will I get a cookie?)

Not unless you are doing your HSC LOL
by the BSc (Adv. Maths) in your siggy, this is probably not very challenging for you -_-

 

[SpiralFlex]

So how are you going to give me cookies?

 

[zhiying]

you can get it off me at UNSW next year

 

[Carrotsticks]

Oh look HSC 1989 Q8 haha.

imo THE most difficult Q8 from 1980 onwards (needed Pigeonhole Principle).

 

[zhiying]

Yes omg that question is a killer, I took off chunks of the question since its just not really relevant for 4u kids these days

btw SpiralFlex this wouldn't be too challenging for you imo

 

[SpiralFlex]

Sleep?

These questions look so fun!

 

[seanieg89]

Not unless you are doing your HSC LOL
by the BSc (Adv. Maths) in your siggy, this is probably not very challenging for you -_-

I guess no cookie for me either!

Kudos on compiling these together for students .

 

[viraj30]

can u upload the solutions as well thanks!

 

[bleakarcher]

I just had a look at the Harder 3U section and in the first question it is said that:

a1,a2,...,an are positive integers yet a1+a2+...+an=1

This can't be. Do you mean a1,a2,...,an are positive?

 

[Alkenes]

Do you have the answers (not worked solutions) ?

 

[zhiying]

I just had a look at the Harder 3U section and in the first question it is said that:

a1,a2,...,an are positive integers yet a1+a2+...+an=1

This can't be. Do you mean a1,a2,...,an are positive?

I dont remember the exact question, but er why not? Cant I add a bunch of increasingly smaller positive fractions and the limiting sum gives 1?

 

[Carrotsticks]

I dont remember the exact question, but er why not? Cant I add a bunch of increasingly smaller positive fractions and the limiting sum gives 1?

Because you said positive INTEGERS, so unless n=1, we can't have:

 

[zhiying]

oh sorry, didnt see the integers part, oh geez now I have to do it to see which part I made an error in