A new problem - A staircase

My new house has a staircase with 12 steps. I can go down the steps one at a time or two at a time.
For example, I could go down 1 step, then 1 step, then 2 steps, then 2, then 2,1,1,1,1.
In how many different ways can I go down the 12 steps, taking one or two steps at a time?

A ten digit number

Find the ten digit number which uses each of the digits 0 to 9 once and has the following properties:
the first digit from the left (the billions digit) is divisible by 1
the number formed by the first 2 digits from the left is divisible by 2
the number formed by the first 3 digits from the left is divisible by 3
the number formed by the first 4 digits from the left is divisible by 4
the number formed by the first 5 digits from the left is divisible by 5
the number formed by the first 6 digits from the left is divisible by 6
the number formed by the first 7 digits from the left is divisible by 7
the number formed by the first 8 digits from the left is divisible by 8
the number formed by the first 9 digits from the left is divisible by 9
the number itself is divisible by 10.

What is the number?

Tomorrow

I hope we might be able to get some answers to our questions and also show those that haven't managed to get on to the blog how to do it.

Hopefully we will also have time to start a new question.

Mr Goodman

Today's Question

I think we ended today with lots of questions. You can use the blog to ask these questions to the group and reply with answers or further questions.

The main question I would like to start us thinking about is when do I want to go first and when do I want to go second, so that I ALWAYS win?

Welcome

Welcome to the BSCS and Wheatfield Gifted and Talented Blog. We will be using this to communicate about issues that arise from our sessions.

Here is the website address to access the "Got it now" game to play with your friends and family at home.

http://nrich.maths.org/content/02/01/game1/gotit3.swf

Mr Goodman