Always, sometimes or never?

Are these statements relating to odd and even numbers always true, sometimes true or never true?

Problem

 

Are the following statements always true, sometimes true or never true?

You could cut out the statement cards and arrange them in this grid.

When you add two even numbers together the answer is evenWhen you add two odd numbers together the answer is oddIf you add an even number to an odd number the answer is even
When you multiply by an odd number the answer is oddWhen you multiply by an even number the answer is evenDoubling a number results in an even number
When you multiply a number by itself the answer is evenThe sum of four even numbers is divisible by fourAdding three consecutive numbers results in an even number

 

Can you find examples or counter-examples for each one?
 

For the “sometimes” cards, can you explain when they are true? Or rewrite them so that they are always true or never true?