Brain plasticity?

The split-brain me:

Right Brain/ Left Brain Quiz The higher of these two numbers below indicates which side of your brain has dominance in your life. Realising your right brain/left brain tendancy will help you interact with and to understand others. Left Brain Dominance: (16) Right Brain Dominance: (16) Right Brain/ Left Brain Quiz

Of this I see both clockwise and anti-clockwise. Made me super confused. First I see it as anti-clockwise then I blink once and it's clockwise. I seemed to be able to switch back and forth quite easily:
http://www.dailytelegraph.com.au/news/wacky/the-right-brain-vs-left-brain/story-e6frev20-1111114577583

You Are 40% Left Brained, 60% Right Brained

The left side of your brain controls verbal ability, attention to detail, and reasoning. Left brained people are good at communication and persuading others. If you're left brained, you are likely good at math and logic. Your left brain prefers dogs, reading, and quiet. The right side of your brain is all about creativity and flexibility. Daring and intuitive, right brained people see the world in their unique way. If you're right brained, you likely have a talent for creative writing and art. Your right brain prefers day dreaming, philosophy, and sports.

Are You Right or Left Brained?

I don't know if this is a normal occurrence in most people. I wonder if most people have a distinct side of the brain they use most or they are split-brainers like me...