You can take four of the five letters out of this word, but the pronunciation never changes. What is the word?

Nine marbles are arranged in the image below. Can you slide two marbles to form a square?

Move three sticks of the spiral below to form a square.

I travel all around the world but always stay in the corner. What am I?

What numbers should go on the bottom line?
3 6 9 15
8 2 10 12
11 8 19 27
19 10 29 39
? ? ? ?

Can you count the number of children in the picture below

Can you solve the tricky chess rebus puzzle below by ciphering the hidden meaning?

What Does this text mean:

important=important

There's one "sport" in which neither the spectators nor the participants know the score or the leader until the contest ends.

What is it?

Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not rounded numerals equals 24.