Question

Suppose that you had a mercury-in-glass thermometer and calibrated to measure temperatures from -10 degrees C to 110 degrees C and you wished to measure a temperature of approximately 115 degrees C accurately. How might you use your thermometer to do it?

Answer 1

There may be an easier way to do it but here are a couple of ideas that you can build on.
a. Add a measured amount of cool solvent (say at about 50C) to a measured amount of the sample, stir, and measure the temperature accurately. It should be less than 115 at that point and well withing the calibrated range.
b. same process with ice or dry ice.
There isn't much to go on here. No mention of the size of the sample, the ease of handling, the kind of solvent, etc but perhaps this will get you started.