Suppose A always beats B and B always beats C, then would you expect A to beat C? Not always! What seems obvious is not always true. Results always need to be proved in mathematics.
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Explore these X-dice with numbers other than 1 to 6 on their faces. Which one is best?
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Use functions to create minimalist versions of works of art.
Alf Coles writes about how he tries to create 'spaces for exploration' for the students in his classrooms.
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These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?
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Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
This article outlines the underlying axioms of spherical geometry giving a simple proof that the sum of the angles of a triangle on the surface of a unit sphere is equal to pi plus the area of the triangle.
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In this twist on the well-known Countdown numbers game, use your knowledge of Powers and Roots to make a target.
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Imagine you were given the chance to win some money... and imagine you had nothing to lose...
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These Olympic quantities have been jumbled up! Can you put them back together again?
