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1 Step 2 Step

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

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Farey Sequences

There are lots of ideas to explore in these sequences of ordered fractions.

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Jack of Cards

Weekly Problem 32 - 2013
What order did Jack have the cards in to make his card trick work?

Paving Paths

Age 11 to 14 Challenge Level:

10 paving slabs.

How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?