I have to say that EVERY SINGLE fact is right when it comes to our cats.
Especially the one about falling down from places 
Why does a cat “knead” or “make biscuits”? :
When a kitten is nursing, it typically kneads its paws against its mother, either as a sign of contentment or to encourage the milk flow. When the cat matures, it kneads to show its contentment and pleasure.
Why does your cat push its head against you?
This is called “head butts”. This is a cat’s way of showing affection. Some cats will turn their head, and push it against a human (or another cat).
Why does a cat sometimes wash its fur immediately after being petted?
There are two theories on this behavior. One theory proposes that the cat is getting rid of the human smell. The other is that the cat is furthering the pleasure of his association with you by tasting your scent.
Why does a cat scratch outside the litterbox, instead of inside it?
The cat has probably had several unpleasant experiences of getting his feet soggy or dirty - make sure the litterbox is cleaned out frequently.
Why do some cats put their toys in their water or food dish?
Cats look upon their food area as part of their territory, and that particular area of their territory usually doesn’t change from day to day - so the cats are likely putting their favorite toys away in a “safe” place. Some cats will consistently put away their toys when they’re through playing with them - you might try putting your cat’s toys in a small basket near one of his favorite spots and see if he will put them away on his own.
Why does a cat lick photographs or plastic bags?
It has been speculated that they are tasting the slight “odor” that emanates from these products. They may also enjoy the texture of the items on their tongue.
Why do cats sometimes scratch at windows?
It may be that they are verifying that there is actually a barrier between them and whatever they see outside.
Why does a cat spend so much time grooming?
Besides the obvious purpose of hygiene and the social aspects, grooming helps cats cope with confrontation or embarassment (you may have noticed that if a cat accidentally falls off a chair, the first thing he does is nonchalantly wash himself, as though he intended to get down in the first place.)
Why does a cat suddenly bite or hiss at a person after it’s been petted for a while?
If a person persists in touching a sensitive area (such as the cat’s tail, ears, or belly), the cat might give a gentle nip to as a way of staying “stop.” Too, some cats can tolerate pleasurable stroking only for short periods of time; again, he may communicate “stop it” with a nip or cuff of his paw.
