The Pacman Museum has an article about getting 3,333,360 Points. And here's a video of some guy doing level 255 and 256, with important information regarding level 256.
Level 1 through 255
Eating dots: There are 240 regular dots per level, worth 10 points each, Netting 2400 points per level. Additionally, eating the four energizer dots, worth 50 points ...
The score is limited because a glitch occurs on level 256 which overwrites half the screen with garbage. The game won't let a player advance from one board to the next without eating 244 dots and energizers, but the glitch overwrites many of the dots; this will leave the player unable to eat 244 dots and energizers, and thus unable to leave the level. In ...
If this commented Pacman disassembly is accurate, it appears that only one high score is maintained for the lifetime of the game. I believe the comment below (from the aforementioned disassembly) indicates the address range of the high score value:
;; 4e88-4e8b High score
The Ms. Pac-Man disassembly also seems to follow the same pattern:
; SCORE ...
Apparently he moves at 11 tiles per second, a tile is made up of an 8 x 8 pixel square. So he travels at 88 pixels per second.
You can find pretty much all of the information you need to find here, but you specifically want slide 48.
No, it does not. The game's attract sequence has three parts:
A title screen
A screen that lists the ghosts' names, and demonstrates how power pills work
A short gameplay demonstration
No high-score list is ever shown. In addition, no capability for initials entry exists. The current highest score achieved is recorded, but that is the extent of it.
After reading through the The Pac-Man Dossier, as suggested in the comments, I understand a little more about how broad this question actually is. I expected several layers of explanation, but a proper answer really depends on comprehensive insight into nearly every one of the game's mechanics.
(The dossier is long & detailed. There is no easy way to ...
After some close examination by hand and by recording, Pac-Man moved a distance of 200 pixels in around 3.10 to 3.15 seconds. This comes out to around 8.00 to 8.05 tiles per second, which is about 64 pixels per second. Since I was on the first level, Pac-Man was at 80% of his full speed. With some math, it turns out Pac-Man moves exactly 80 pixels per second,...