Begin with a word, five letters to my name,
Remove the first and last but I am the same
Take out my middle and still, I remain.
What word am I?

A wooden log balances equally on the scales when weighed with three-quarters of a pound and three-quarters of a wooden log.

Can you calculate the weight of the entire wooden log?

I have a head like a cat and feet like a cat, but I am not a cat. What am I?

I don't get anymore wetter, no matter how much rain falls on me.

How many times can you subtract the number 5 from 25?

If six children and two dogs were under an umbrella, how come none of them got wet?

What is more useful when it is broken?

These types of puzzles are known as charades. What you have to do is find two words that are referred to in the first stanza and the second stanza and put them together to form the third word in the third stanza.

Just for example, if my first refers to 'off' and my second refers to 'ice', then my whole will be office.

My first is present - future's past -
A time in which your lot is cast.

My second is my first of space
Defining people's present place.

My whole describes a lack of site -
A place without length, breadth, or height.

I have no life, but I can die. What am I?

What you cannot hold but it is yours?