I believe the question was not what is taught now, but rather what type of math classes were required in the 1950's .
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You should probably take classes that relate to your desired career, if any are offered at your high school. General classes to take are English and Math, and other college-preparatory classes. In the end though, the classes that you choose in high school generally won't matter as much to a college as how well you did (your GPA (grade pooint average)) and your test scores. If you are trying to get into a really prestigious college it would matter more.
All of them. Only some are too complicated for high school students, or even undergraduates.
The answer to 12 P plus 7 times 139 equals 39. This is taught in high school math.
You can take any math you want in High School that is at your level. Most of the available classes for most schools are Intro to Algebra I, Algebra I, Geometry, Algebra II, pre-Calculus, and Calculus (not always offered). As long as you take any of these maths (the amount in years varies from place to place), and pass, you can graduate from high school.
A chemist works in a lab usually in a corporate lab or a hospital setting. They may teach classes as well in a college or high school level.