Read the units in the options before computing anything: they tell you which system to work in, and on a question that offers several expressions they decide the answer on their own. With no calculator, every conversion avoided is time saved and one slip fewer.
Trigger: options carrying units, or a question that lists several quotients and asks which of them give a stated quantity.
Instances:
(i) options in g cm−3: stay in grams and centimetres from start to finish, never convert to SI and back;
(ii) options in pascals: convert first, since ρgh fed with g cm−3 and centimetres does not produce pascals;
(iii) mixed-looking units such as N cm−2 with cm2 are consistent as given, so use them as given and only bring in g at the last step;
(iv) a list of expressions: reduce each to base units and keep only those whose dimensions match the quantity asked, because the examiner usually arranges for every option to carry the same number.