"I made 10 points"
It for basketball and I say that make ten points
If you really want to see how this might be used in a sentence, try googling some basketball terms such as puntos and baloncesto and see how different sports writers use the term.
There are many different ways to say this, but I think that anoté - I scored is probably the most common (however, there are many acceptable ways to say it).
Here are some other ways that I have seen it said when referring to how much a player has scored.
Kobe Bryant sumó 81 points - Kobe Bryant scored (totaled/collected/tallied) 81 points.
Finalicé/acabé el partido con 10 puntos - I finished/ended the game with 10 points (I ended up scoring 10 points).
Hizo/hice 10 puntos en el partido** - He made/I made (scored) 10 points.
If you are interested, after a game it is not uncommon to read something like:
Luis Scola anotó 27 puntos, capturó 7 rebotes, dio 2 asistencias - If you are into basketball then I'm sure that by looking at it you can probably figure out what each of these means.
In basketball terms you should say :
(Yo) Hice (encesté) 10 puntos. "I made (scored) 10 points".
"Gané diez puntos" or "He ganado diez puntos" (it's literally "I've made...)