This activity investigates how you might make squares and pentominoes from Polydron.
If you had 36 cubes, what different cuboids could you make?
How can you put five cereal packets together to make different
shapes if you must put them face-to-face?
Thank you for the many solutions to this problem. It was interesting to see that some of you presumed there had to be three cards in each pile which totalled 15. In fact, the question simply said there had to be three PILES, which makes the problem a little trickier than it looks at first.
Jessica and Ruby from Aldermaston C of E Primary School told us how they went about tackling the problem:
Wilbury Primary School Mathletics Club also got the idea. Some of the solutions they found were the same as Jessica's and Ruby's, but here are their different solutions:
1, 2, 3, 4, 5
and telling us why they thought they'd found them all:
That makes eight ways altogether. Well done, Alicia and William! I think there might be one more to find ...