article
The dodecahedron explained
What is the shortest distance through the middle of a dodecahedron between the centres of two opposite faces?
Length/distance
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articleParadoxes
A paradox is a statement that seems to be both untrue and true at the same time. This article looks at a few examples and challenges you to investigate them for yourself. -
articleEclipses of the sun
Mathematics has allowed us now to measure lots of things about eclipses and so calculate exactly when they will happen, where they can be seen from, and what they will look like. -
articleMeasure for measure
This article, written for students, looks at how some measuring units and devices were developed. -
articleWorking with dinosaurs
This article for teachers suggests ways in which dinosaurs can be a great context for discussing measurement. -
article2010: a year of investigations
This article for teachers suggests ideas for activities built around 10 and 2010. -
problemPentagonal
Age14 to 16Challenge level
Can you prove that the sum of the distances of any point inside a square from its sides is always equal (half the perimeter)? Can you prove it to be true for a rectangle or a hexagon? -
problemA scale for the solar system
Age14 to 16Challenge level
The Earth is further from the Sun than Venus, but how much further? Twice as far? Ten times? -
problemSugary diversion
Age11 to 14Challenge level
Weekly Problem 48 - 2008
An ant is crawling in a straight line when he bumps into a one centimetre cube of sugar.If he climbs over it before before continuing on his intended route, how much does the detour add to the length of his journey? -
problemFlight path
Age16 to 18Challenge level
Use simple trigonometry to calculate the distance along the flight path from London to Sydney.