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What was in the box?
This box does something to the numbers that go into it. If you know the numbers that come out, what might be going on inside the box?

Break it up!
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Holes
I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

Four triangles puzzle
Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?


Creating cubes

Sweets in a box
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?


Wondering at Stage 1
