According to the meaning of the question, it is assumed that Xiao Ming got all the answers correctly: 10× 10= 100 (points);

Now Xiao Ming got 76 points, less than the total score: 100-76=24 (points);

Because there are fewer mistakes every time: 10+2= 12 (points), the number of mistakes made by Xiao Ming is 24÷ 12=2 (tracks), so the number of tracks he made correctly is 10-2=8 (tracks).

Xiaoming answered eight questions correctly.

So the answer is: 8.