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