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Six new homes are being built! They can be detached, semi-detached or terraced houses. How many different combinations of these can you find?


This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.

Train Carriages

Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?

Coloured Squares

Age 5 to 7
Challenge Level
Which square could be blue? How do you know?
How does the second clue help?
Try colouring the squares, or use coloured counters. Does your arrangement fit the clues?