If you want to find out whether your cat is left or right-pawed, you can use a few controlled experimental measures to find out.
First, choose an isolated area for the test, like the bathroom, so the cat won't be distracted. Bring a notepad, some string, and a piece of scrap paper with you.
Dangle the string before the cats nose until the cat swipes at it. Do this at least ten times, or more if you want greater accuracy. Tally which paw the cat uses (left, right, or both) after each swipe.
Then, drag the string across the floor, directly in front of the cat, until it gets the cat's attention. Just as before, tally which paw is used (left, right, or both) each time the cat pounces, at least ten times.
The last one's a little tricky. Crumple up the scrap paper into a ball, getting the cat's attention, then toss it under a piece of furniture that the cat can reach an front paw under, but can't crawl under. Note which paw the cat uses to try to get the paper ball out. If the cat can't retrieve it, try another paper ball. Have the cat reach under the furniture at least five times. Note the results.
Once you've completed the steps, count up the tally and see where your cat stands! If the cat's preferred paw is between forty and sixty per cent preferred, you might want to try the experiment again, with a larger sample size (more tallying). If you don't feel like doing that, consider your cat most likely to be ambidextrous!
I experimented on my three cats this way. The first kitten, Scully, as well as her brother, Mulder, came up right-pawed. My four-year-old cat, Griever, is ambidextrous. And me? I'm a southpaw!
http://www.helium.com/items/1297204-cat-paw-preference