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# Happy Birthday NRICH!

### Up and Down Staircases

### Always, Sometimes or Never? Shape Live

### Ice Cream

### Method in Multiplying Madness?

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To celebrate NRICH's 20th birthday, we are bringing together some rich mathematical activities that we think are 'hidden gems'. You may not have come across these tasks before, perhaps because some of them are quite new, whereas others are rather old, but all of them are worth exploring. Get your mathematical thinking hat on!

Age 7 to 11

Challenge Level

One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?

Age 7 to 11

Challenge Level

Are these statements always true, sometimes true or never true?

Age 7 to 11

Challenge Level

You cannot choose a selection of ice cream flavours that includes totally what someone has already chosen. Have a go and find all the different ways in which seven children can have ice cream.

Age 7 to 14

Challenge Level

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?