What is harder to catch the faster you run?

Look at this sequence from top to bottom. What is the next number in the sequence?
1
11
21
1211
111221
312211

They do not possess flesh or feathers or scales or bone
But still, they are blessed with fingers and thumbs of their own.

There were two grandmothers and their two granddaughters.
There were two husbands and their two wives.
There were two fathers and their two daughters.
There were two mothers and their two sons.
There were two maidens and their two mothers.
There were two sisters and their two brothers.
Yet there are only six, who are buried here,
All are born legitimate and relationships clear.
How can this happen?

Which is the smallest number that you can write using all the vowels exactly once?

You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?

Using four sevens (7) and a one (1) create the number 100. Except for the five numerals, you can use the usual mathematical operations (+, -, x, :), root and brackets ()

I am the black child of a white father, a wingless bird, flying even to the clouds of heaven. I give birth to tears of mourning in pupils that meet me, even though there is no cause for grief, and at once on my birth, I am dissolved into air. What am I?

Can you solve this picture maths equation?

What brings you down but never up?