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Paving Paths

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?

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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.

Pocket Money

Age 11 to 14 Challenge Level:

Start with option 1.
How much are you given on day 1? How much do you have altogether?
How much are you given on day 2? How much do you have altogether?
...

Now try the same with options 2 and 3.