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Make a cube out of straws and have a go at this practical challenge.


Reasoning about the number of matches needed to build squares that share their sides.

Little Boxes

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?

Knight's Swap

Age 7 to 11
Challenge Level

Why do this problem?

This problem requires children to make use of visualisation and to develop their own methods of recording.

Key questions

Do you know how a knight moves in chess?
What could you try first?
How will you record the moves?

Possible extension

Suggest to learners that you can now put the two stars on the board anywhere except the middle square. Can they find a way to put them on so that it is impossible to switch the pieces? Can they give a really clear explanation?

Possible support

Pupils might like to draw a square and use some counters to help them see the moves.