To improve your blackjack card counting speed, start by mastering the counting system you're using so it becomes second nature. Practice with flashcards and a deck of cards to build speed and accuracy, gradually increasing the pace as you go. Counting groups of cards instead of individual ones can also help. Simulate real game conditions to practice counting while staying focused on the game, and work on enhancing your mental math agility through other exercises. Additionally, practicing under distractions will prepare you for the distractions of a casino environment. Consistent practice with these methods will help you count faster and more accurately.