There are many ways to test your memory, and there are different kinds of memory to test. For verbal memory, take a quick, online, 15-word recall test. To test your visual memory try to predict which of two contestants will win the chess match in this simple, paired, visual recognition test. If you have twenty minutes or so, take the battery of memory tests offered by the BBC.
As they say on that website, none of these tests is predictive or diagnostic. Even so, they can be instructive and fun.