This question depends on the part of programming you want to get into, So having some basic Arithmetic knowledge is great, but keep in mind the computer does a lot of the work for you, So what’s more important is how to tell a computer to perform Arithmetic and how to perform the various functions like calculating Pi and so forth.
NOTE: There’s normally inbuilt functions that do a lot of that stuff for you, so you don’t need to memorize or be fantastic at math to succeed.
Although there are situations you start getting into 3D programming or 3D games programming, then depending on the framework you using, YES! You need to know some basic trigonometry or some advanced math.
NOTE: As a general rule, getting into programming, NO! You don’t need to be fantastically good at math, if you just get some basic math skills, then you good to go.

Not very good but moderate is enough. You have to be good at logic and reasoning though. All these attributes can be developed anyway, so u have nothing to worry about.

Yeah!! Very good, if u will be dealing with the backend aspect. So much logic that can sit u in one place if u make a single mistake for the next 24hrs and make u to forget ur bath. Go And learn inequalities, +*-=-, -/+=-, simple arithmetic, and many more simple maths.