Jump to content

Can you solve the maths question for Singapore schoolkids that went viral?


pongo

Recommended Posts

@ paswt

 

Yeah, but if someone doesn't fully understand the mathematics they are doing, they could easily make a logical error a bit like in my post #99 and end up with a mistake which is far less subtle than claiming a mouse weighs the same as a whale. As I said above I actually did this only a few weeks ago and the result could have been pretty serious if someone hadn't checked.

 

Here's another one:

 

I'm sure you'll agree

 

ln(cos(x)) = ln(cos(x))

 

and if we double the first term we can say:

 

2 x ln(cos(x)) > ln(cos(x))

 

Now via logarithmic operation this means

 

ln((cos(x))2) > ln(cos(x))

 

Now the natural logarithm is strictly increasing so this means

 

(cos(x))2 > cos(x)

 

Dividing through by cos(x) gives us

 

cos(x) > 1

 

But it doesn't - cos(x) is always less than 1.

 

Spot the deliberate error?

 

Math's is sneaky ...paswt, do you get where the error is in post#99? Wrighty has given a strong hint, and I've tried to get people to think about it via what "s" actually is - the average of two different numbers.

 

This is a thread on maths - these are thought provoking mathematical puzzles, "just saying" it is obvious post#99 is rubbish isn't the point - where/why is it rubbish.

 

Only Wrighty has been willing to play along, the other responses have had quite an anit-mathematical flavour.

 

Oh well.

Edited by Chinahand
Link to comment
Share on other sites

What if x=2i (for example - although I appreciate convention indicates x is a real number) - cos(x) is then greater than 1 and the inequality works. Again, you need to be aware of, and perhaps specify, the function's domain.

 

Clearly no-one but me and China are interested in this sort of thing, but if they are - 2x is not necessarily greater than x, for example if x is negative (which it will be if it is the logarithm of a number less than 1)

  • Like 1
Link to comment
Share on other sites

that was sums dilli. you were good at sums

Ah now I can contribute to a thread on 'sums' or arithmetic as we were told to call it at 'grammar school'.

 

Good luck to those who find mathematics fascinating,I never did algebra and have managed to live my life,to my knowledge, without needing it.

 

That said I did leave school at 15 and later got a 'post graduate diploma' and had to pass a 'statistics exam' and was advised by a clever mathematician how to pass the 'open book examination' which a number of folk with 'degrees' failed.

 

China, I'm sorry I've been unable to 'play along' (we are all ignorant ,only in different subjects) ,and only posted as I was amused by your patronising attempted put down.flowers.gif

Link to comment
Share on other sites

 

I never did algebra and have managed to live my life,to my knowledge, without needing it.

 

 

This is one of the things about maths education that bugs me somewhat. Why is it that people are quite happy to admit to 'not doing maths', or 'never needing algebra' or whatever? You rarely find people who are proud of not being able to read.

Link to comment
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Reply to this topic...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

Loading...
  • Recently Browsing   0 members

    • No registered users viewing this page.
×
×
  • Create New...