Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

I shave every day, but my beard stays the same. What am I?

Give it food and it will live; give it water and it will die.

Which is the correct shadow of the bird?

Until it is measured, not known. Yet how you miss it when it has gone. What is it?

I am the fastest animal but cannot climb the tree. What am I?

Can you circle exactly four of these numbers such that the total is twelve?

1 6 1
6 1 6
1 6 1
6 1 6

Nodes are shown below and you need to connect them based on the following rule: Every node can be connected to the number of nodes inside them, i.e. the first node there is a value of 1 which indicates that the first node can connect to exactly one node only.Can you do it?

You throw me out when you want to use me and you take me in when you don't want to use me.

Who Am I?

When it's bad luck to meet a black cat?