You have to start (not finish) all modes. You can time out modes if you want, but seems pointless unless you are very close to Armagaddon. Your average Armageddon will net you around 250-350,000 points. By the time you are that far into the game, a solid mode performance comes close or exceeds that.
The real points orgy is Shockwave and if you aren't getting Armageddon you won't be getting that. You need all 8 SIM cards.