The title story concerns The Cat in the Hat's son, who brags that he can fight 30 tigers and win.
The second story, "King Looie Katz", concerns The Cat's ancestor, and is a warning against hierarchical society advocating self-reliance.
Upon hearing this, thirty tigers step forward to call his bluff, but seeing that he's outnumbered and outsized, the Cat's son begins making up excuses to reduce the number of tigers for various reasons (one having curly hair, nine having dirty fingernails, five being underweight, five looking sleepy, and two looking hot) with the exception of seven being dismissed without any reason.
One evening, while thinking up friendly little furry things as usual, the Cat's daughter decides that she can think up bigger things, but in increasing her Thinker-Upper's power, it ends up creating a Glunk, a big green furry creature, that breaks out of her dream cloud.
To the Cat's daughter's dismay, the Glunk then proceeds to the living room to use the telephone to make a 9,000 mile long distance call to his mother (something he does every night, not even caring how expensive the phone bill gets).