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Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?
How could you arrange at least two dice in a stack so that the total of the visible spots is 18?
Can you find ways of joining cubes together so that 28 faces are visible?
Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?
Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?
Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?
A simple visual exploration into halving and doubling.
Can you find a way of representing these arrangements of balls?
This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.
Looking at the 2008 Olympic Medal table, can you see how the data is organised? Could the results be presented differently to give another nation the top place?
Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.
These pictures and answers leave the viewer with the problem "What is the Question". Can you give the question and how the answer follows?
This is the second article in a two part series on the history of Algebra from about 2000 BCE to about 1000 CE.