We don't do SAT type things here but with all multichoice I think it is important to; work out the answer (or estimate) before you look at the options, and not overthink the questions.
For me, your advice about working out the answer before you look at the options would be a great waste of time. A quick overview of the answers can sometimes reveal that all but one option can be eliminated for various reasons. In the case that the answers are all similar and reasonable, knowing the answer range in advance can help correct careless errors more quickly if those answers would lead to a result outside that range.
On the other hand, I understand that everyone approaches tests differently, and people have to use what works for them. Some people certainly do better by simply working the problem and seeing which of the options matches their result. I have inferred from your post that you assume everyone is that way though, which isn't true.