I was in a similar position, when my GP tested my urine, at my diagnosis meeting and discovered ketones at a concentration of 15mg/dl ("small" on the Ketostix label). I thought nothing of it until I got a call from the Diabetic clinic, asking me to come immediately, and be prepared to be admitted into hospital that afternoon...
Luckily, in my case, the ketones were a result of me "low carbing", and their concern eased as soon as they saw that my BG levels were under control (<7 mmol/l). However, they warned me that if my blood sugar went above 15 mmol/l AND I recorded ketones of 80mg/dl or larger then I should go straight to A&E.
If you don't know what your BG scores are, and you are showing ketones, I think that you should be very careful.