These require you to work on the given clues and set up an equation for solution.They may require you to manipulate and solve the equations.
Write every step of the calculation cleanly and try to simplify it, as much as possible, at every step.
If you have gone by the right route, a solution will not elude you.
Knowledge of probability and statistics is very useful while solving problems of statistical thermodynamics.
Make a list of the important mathematical formulas, that you require for solving most problems.
I suggest that you make a list or table of the most important relations, which you will require, while solving problems.
Understanding of theory and concepts like thermodynamic equilibrium is absolutely vital.
Learning is a process and problem solving is where your understanding of the subject is thoroughly tested.
The joy of having solved a problem on your own is incomparable.
A knowledge of basic integration and differentiation techniques, and elementary probability and statistics, is necessary to solve problems in thermodynamics.
When it comes to any kind of science, knowledge of basic mathematics is inevitable.