It's difficult to specify one type of engineer, like chemical or mechanical engineering, that has the least amount of writing. It depends on where you work, what your work entails, and much more. For instance, if you are an engineering manager and need to write proposals, then you will have plenty of writing to do. All engineers need have writing skills in order to document their work. However, not all documentation needs to be written like a Shakespearean play. The main idea is being able to communicate your ideas and works in an effective matter. The joy of engineering is in the creativity one can express with the technical skills he or she learns. So if you're looking at engineering as a career, I'd say that writing should be the least of your worries. If you can write an outline or make a PowerPoint presentation that summarizes your work, you'll probably be fine :)
Persuasive writing.
Math is good for science and engineering of any type.
soy
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Possibly a locomotive engineer and you get to wear one of those cool hats like the guys on Polar Express. Seriously, all forms of engineering require lots of paperwork. Even those people who work alone, need to keep detailed lab notes if working at any significant level of complexity. If you work for a company or a university you must be able to report your progress and your results.
Succulent type
A good car!
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Financial engineering, of course. In that area, you get at least 50 mio if you successfully ruin a formerly flourishing company within just 12 months.