A ten yr old car will use a little oil as the gaskets are probably a little worn. There is one key question about using oil and you can answer that by looking at the radiator cap. If there is a milky look to the oil around the cap or something that looks like soap suds then you probably have a blown head gasket or even a cracked cylinder head. Get it looked at.
Yep - that's worrying. My car is 15 years old, has triple that mileage, and doesn't burn any oil. Get it checked by a mechanic.