Follow the cat's instructions. There are two games in one here - 1. You can guess the cat's number between 1-100, or 2. The cat will guess your number between 1-100, and you tell him "lower" "higher" or "yes" when he has guessed it.
This is a simple, old game that I always enjoy creating and playing. Have fun! TIP: Try guessing 50 first - then if it's higher, guess something in the middle between 51-100, for example 75. If it is lower, you know the number must be between 1-49, and you should guess something like 25. This way, with every guess, you cut down the range by half. You should be able to guess the number within 8 tries.