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Painting Cubes

Imagine you have six different colours of paint. You paint a cube using a different colour for each of the six faces. How many different cubes can be painted using the same set of six colours?

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Six points are arranged in space so that no three are collinear. How many line segments can be formed by joining the points in pairs?

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Permute It

Take the numbers 1, 2, 3, 4 and 5 and imagine them written down in every possible order to give 5 digit numbers. Find the sum of the resulting numbers.

Domino Tetrads

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

A solution has been offered by Jonathan R. and his friends Jonathan M. and Matthew G. of Steyning Saint Andrews C.E Primary School. There is more than one solution but it needs a means of representing each arrangement in order to show what is happening and to identify possible avenues to further solutions. There is still a lot more in this problem if you are prepared to have a go but thanks for this start Jonathan.

Together my friends and I solved this puzzle. Here is our solution:

1) yes you can make the squares with all the pieces

2) in every square you have a double at the top .

3) we could not find any other solutions to this puzzle and we don't think itis possible for another solution.