Handling large amount of data with arrays

You might be wondering what happens when we have an app with lots of variables that we need to keep track of. What about our Note To Self app with 100 notes or a high score table in a game with the top 100 scores? We could declare and initialize 100 separate variables, like so:

Note note1;
Note note2;
Note note3;
//96 more lines like the above
Note note100;

Or, we could begin to handle the high scores scenario like this:

int topScore1;
int topScore2;
int topScore3;
//96 more lines like the above
int topScore100;

Straight away, this can seem unwieldy, but what about when someone gets a new top score or we want to let our users sort the order their notes are displayed in? Using the high scores scenario, we have to shift the scores in every variable down one place. A nightmare begins. We could handle the high scores as follows:

topScore100 = topScore99;
topScore99 = topScore98;
topScore98 = topScore97;
//96 more lines like the above
topScore1 = score;

There...