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Re: HSC 2016 4U Marathon Actually, that reasoning will not do. If that was correct working, you would have to interpret your answer as 0 <= |z| <= ..... I haven't checked the working, but there must be an error there somewhere.

Re: HSC 2016 4U Marathon I've done this without the triangle inequality. Confirming the answer is 1 + sqrt 3. It also has a minimum value: sqrt 3 - 1 So there is something wrong with the sign in that working.

A Jew, a Christian and a Muslim Walk Into a Bar After a few friendly beers they begin a discussion about who was the most religious. "I was riding my camel in the middle of the Sahara", exclaimed the Muslim. "Suddenly a fierce sandstorm appeared from nowhere. I truly thought my end had come -...

Since you mention Medical Science, this from the UNSW Medical Science course: Students with a strong Mathematical background (i.e. a result over 90 in HSC Mathematics, or combined result over 100 in HSC Mathematics and HSC Mathematics Extension 1) may consider enrolling in higher level...

Just joking

Didn't you answer your own question just by asking it?

Proof using base arithmetic that Christmas is a pagan festival: OCT 31 = DEC 25

They call in the maths staff :)

Actually, let me explain why people have trouble seeing how this works. People try to compare 30 to 31 and 40 to 41. Instead, they should be comparing diagonally: 30 to 41 in Warner's favour, and 40 to 31 in Smith's favour. The differences are 11 and 9 - roughly the same. But the...

By the way, my example with averages partially shows why, when your maths teacher is calculating your yearly mark based on say 4 tests, the individual test marks should NOT be artificially scaled to the same mean before adding.

Oops - sorry. Nevertheless, I wonder if someone can come up with an example of the "regression to the mean" fallacy.

No, that is good enough for me. Statistical paradoxes are definitely real-world. I thought someone might give a chaos theory example. That seems to be a topic that is never given the attention it deserves.

I love the "wobbly circle" and "dragoncurve" videos on Numberphile.

Imagine that (a) In 2013/14, Steve Smith has a batting average of 30 in 5 innings, while David Warner has a batting average of 31 in 20 innings (b) In 2014/15, Steve Smith has a batting average of 40 in 50 innings, while David Warner has a batting average of 41 in 15 innings In both years...

There is a lot of highly theoretical mathematics here. Does anyone have more real-world mathematical statements? (The birthday problem was a good one)

Re: Representing polygon at an angle in 3D space with 2D shaded region on its x-y pla In Geogebra, you would still need to sketch all planes at the start. But then you find the intersection of the constraint planes with your "objective" plane to form a series of intersecting lines on the...

Why?? Did fewer people get 99.95 ?

It boggles the mind how the HSC can be over and the marks out, yet some people still have no idea how the system works.

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Re: Survey- Impact of mathematical education on answering simple Mathematics questio Those last two questions look like anti-bot questions.