Ballcam

March 9th, 2011 1 comment

Please forgive my appalling lack of posts in recent months.  I’ve been working on a project with the above name, which seeks to place cameras in objects that can rotate on any axis, a football for example!  Exciting stuff, but I can’t share the maths with you on here.

VAT increased to 20% – is it worth panic buying?

June 24th, 2010 1 comment

The coalition has announced that VAT will increase from 17.5% to 20% on January 4th 2011.

Problem

A TV is advertised at £1000 including VAT at 17.5%.

VAT is increased to 20%.  What will the new price tag be?

Solution

The immediately apparent answer is £1025, because we’ve “added 2.5%”.  But that’s not quite right…

Read more…

Folding a Trapezium: Solution

September 27th, 2009 2 comments

A Geometric Secret of A4 Paper

Trapezium-A4-1-1024x819

Problem:

We wish to make two folds in a rectangular piece of paper to form a trapezium (or trapezoid for the chaps across the water).  Read more…

Folding a Trapezium (Problem only)

August 26th, 2009 No comments

A Geometric Secret of A4 Paper

Trapezium A4-1

I’m not just going to give the answer away this time!  At least not for a while anyway… (Click here for the solution) Read more…

Mathematical Mice – Part I

August 21st, 2009 4 comments

Mrs Farmer is frightened of mice.  One day she finds 3 mice in her kitchen.  She tries to scare them out, but these are no ordinary mice…

Mice Think Dice

Read more…

How Mandelbrot’s fractals changed the world

October 18th, 2010 No comments

In 1975, a new word came into use, when a maverick mathematician made an important discovery. So what are fractals? And why are they important?

BBC News – article

‘Fractal’ mathematician Benoit Mandelbrot dies aged 85

October 17th, 2010 No comments

Mandelbrot developed fractals as a mathematical way of understanding the infinite complexity of nature.

The concept has been used to measure coastlines, clouds and other natural phenomena and had far-reaching effects in physics, biology and astronomy.

Full Story – BBC News

I’m Singin’ in the Rain…

October 15th, 2010 14 comments

You may have heard someone ask this question before.  You may have even pondered it yourself.

You need to get from A to B on foot, in pouring rain, without an umbrella (and without singing).
Presuming you want to get as little wet as possible, is it better to run or walk?

-

By setting up a simplified mathematical model we can answer this question, and soon a solution will be made available.

In the meantime, we want your ideas!

If you want to submit a well-presented mathematical solution, it will be considered to be formally added to the post.

But of course, all comments are welcome, so please leave your suggestions below.

Roberto Carlos wonder goal ‘no fluke’, say physicists

September 3rd, 2010 1 comment

Physicists have explained one of football’s most spectacular goals.

More importantly, the mathematics of infinity features in a BBC News report!

Full story: BBC News website Read more…

No-Numbers Geometry

November 30th, 2009 3 comments

Can you work out the size of angle xº?

int-ext-angles problem

That’s a regular hexagon and a regular pentagon.  Good luck!

(Hint: Consider the size of the interior angles in a polygon, the sum of angles round a point, and the sum of angles on a line)

(This is my first post in quite a while – apologies for the delay. I’ve been trying to become a qualified teacher!). Read more…