if the meter only goes down to 20K ohms for the lowest range, then 1 k ohm is 5% of full scale
if the meter is really accurate, say 1%, then your error band is+/- 200 ohms
the 10 ohm resistor is .05% of full scale, the meter would never be that accurate - that is down in the noise floor.
To check the meter you will need a 1% 10k or 5k ohm resistor.
a meter with a 2K ohm range would be better suited