Find the mistake in the below maths equations

A = 2
A(A-1) = 2(A-1)
A2-A = 2A-2
A2-2A = A-2
A(A-2) = A-2
A = 1

You are stuck on an island where you have nothing. You find four pieces of paper somewhere on the island. What will be your strategy to escape from the island safely?

PS: No other resource is available to you on the island, neither can you build anything.

Can you decipher the following common phrase?

T M C
A U O
H S M
W T E

A man looks at a painting in a museum and says, “Brothers and sisters I have none, but that man’s father is my father’s son.” Who is in the painting?

You have to fill the below given grid in a manner that every row and column contains the digits 1 to 6. Also, make sure that the squares that are connected with each other must contains the same digit.

In the picture, you can see a chess board. On the top left position, the K marks a knight. Now, can you move the knight in a manner that after 63 moves, the knight has been placed at all the squares exactly once excluding the starting square?

When I go in I might cause pain. I cause you to spit and ask you not to swallow. I can fill your hole. What am I?

Count the squares in the matchstick puzzle below?

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

What is the four-digit number in which the first digit is one-third the second, the third is the sum of the first two, and the last is three times the second?