Physical work: Ditch digger; Road construction "Stop/Go" sign holder; Car wash worker; Grocery store bagger; Brick layer; Janitor.
Artists: painter; musician; dancer; singer; sculpter.
Public Service: Step parent; AIDS outreach.
Public Health: Nurse's Aid; Retirement Home worker.
You get the drift. There are many more jobs out there if you think about it.
However, you must also keep track of your own money if you want to use it to buy things, which requires math. So, technically there is no job that requires no math.
.....Actually, artists do use quite a bit of math when sculpting, painting, drawing... Math is used to discover/create the golden mean of a work, physical and visual balance, perspective, point of view...and the list continues. Most successful artists use math naturally and intuitively when creating a piece of art and don't have to physically calculate anything or measure anything, but math is still a big part of the art creating process, even when, and perhaps especially when they are making abstract or non-objective art.
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Every job requires some math. Would you want to work and not add up your hours to make sure you were getting paid correctly? Even a FedEx courier has to add up the stop count, track hours on duty, break times, and hours spent off duty (Department of Transportation requirement).
Architects, rollercoaster designers, jet pilots, sports anouncers, doctors, bank tellers, those people that run the checkout lines at stores, computer programmers... if you think about it, virtually EVERY job requires some math.
All jobs require some form of math skills, even if they these skills aren't used on a daily basis. For example, a truck driver needs to know how to estimate how far it would take to get from one location to another and how much fuel the truck needs to complete the job. Also, a worker in the fast food industry must know how much time it would take to prepare the food, cook it, and then serve it.
Here are a few jobs that require a person to be extremely proficient in math skills:
a hair cutter.
people who work with animals.
Musician
Artist
but if you are in charge of finances, then you always have to work with numbers.