Windows 10: Numpad only acting as arrow keys

Had this problem for a while now.Happens with every keyboard plugged into PC.Only part of numpad that works is the arrow keys, researched multiple fixes, turning on and off numlock and mouse keys in ease of access nothing has worked so far. :

:)

 

down arrow key stopped working

My razor lycosa down arrow key decided to not respond at some point today. The other ones work and so does the numpad arrow if i turn off the numlock. Sounds like its just broken and im screwed, but any suggestions?

 

Down Arrow Key and Numpad 2 not Working (Windows 10)

Who knows this problem that I am facing for few months that 2 buttons are not working like down arrow key and numpad 2. Down Arrow Key I used the most in games and it stopped working. My keyboard is new.

Why is causing this problem? I tried to find out the solution for days and I didn't found anything yet. Other buttons are working fine but only those 2 buttons are not working when I tap to them in game does not respond.

 

How to use home, end, pgup, pgdn and other arrow keys on the numpad even when the numlock is on?

The premise behind asking this question is, when the numlock is off, the keys on the numpad act like home, end, etc. But when the numlock is on, they can't be used to perform shortcuts like ctrl+home or shift +home (because they now behave like number keys).
I don't have a numlock indicator that says if it's on or off. So I'd like to keep it on all the time. So I want to find a way such that, the numbers on the numpad act as numbers when used individually but act like home, end, etc, when used with the modifier keys, like ctrl and shift. Can we do that?