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All in the Mind
Imagine you are suspending a cube from one vertex and allowing it to hang freely. What shape does the surface of the water make around the cube?
Picture Story
Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
Instant Insanity
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
Age 11 to 14 Challenge Level:
Mark four points on a flat surface so that there are only two different distances between them. One arrangement is as shown.
How many more can you find?
Are you sure that you have them all?
Click here for a poster of this problem.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.