From where I come we use Mongoloid when referring to the race. I don't know which is the most appropriate term in English.
"Mongoloid" as a racial term sounds like something out of a 100 year-old textbook.
In El Salvador people still say Mongoles
(Though only if mocking their appearance.)
Most people in the US would simply say "Asians", which in everyday use excludes South Asians ("Indians") and Southwestern Asians ("Middle Easterners").
And sometimes Southeast Asians, sometimes not.
At college we were taught the Caucasian sub-races that were typical for Slavs. I later did a bit of research and as far as I can tell I'm a mixture of the Alpinid and Baltid sub-races. It was in the Slavic Studies class when we were going through the section "Anthropology aspect" of Slavs (there were other sections of other aspects: linguistical, confessional, ethnic, cultural, etc.). So basically, from where I come the concept of race is still used to classify humans. Living in a nearly 100% white community there is also a high level of bias and stereotyping, but then again most people, like my 84 year-old grandfather, have never seen a black or a yellow man in their whole life and wouldn't really have an opinion about them.
In El Salvador there are literally no blacks, no people from the Middle East, and almost no Chinese (and the only way to meet some of them is actually going to look for them in some gathering places, but normally you're unlikely to find them walk by you or anything.)
And I'm pretty sure old people would be scared of a black person if it walked even down the street. Not because they would associate it with crime or violence, they don't know about those, but because the person's very appearance would be frightening to them.
We don't get to the extreme of the Slovaks however.