At 10 weeks, you would probably only undergo the routine urine test.
Between 11 - 14 weeks, your doc might perform the nuchal translucency screening test. This is done with the use of the ultrasound machine to measure the clear ("translucent") space in the tissue at the back of your developing baby's neck. This gives you an assessment of Down syndrome risk.
Your doc may want to space out your appointments, so the above test may be performed later than earlier.