Rolling Cube Challenge

Challenge On Boarding – How to Roll a Cube

Note: This is not like rolling a dice. You kind of have to imagine a cube trying to roll like a ball. Or even better watch cubes trying to roll like balls in these animations:

The other thing that you will need is to think about the path that the cube will roll. How many paths can you find to get from the blue square to the orange outline?



How many tips does it take to travel on your path? Can you find paths that take an odd number of ‘tips’?  What about an even number?

Really we’d like you to find out as much as you can about rolling a cube around a grid and so try to open up your investigation as much as you can. There are a few introductory challenges that might help you get a sense of what to do:

Challenge 1 – Get the arrow showing on the upper face

How would you roll the cube to the orange square so that the upper face has the arrow?
A cube has 6 faces. We want the arrow on the upper face.

Challenge 2 – How many different ways can you get the arrow to point

Can you discover a different path to the orange square such that, when you get there the arrow points in a different direction?

Challenge 3 – Can you predict whether a path will end with the arrow on the upper face?

Can you discover a different path to the orange square such that, when you get there the arrow points in a different direction?

Download the resources and instructions and let us know how you got on with it by tweeting using #momentofmaths and start to see Every moment is a #momentofmaths

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