Edit
Ten-tori uranai(点取占い) means "point-scoring fortune telling," and consists of folded strips of paper, similar to the omikuji found at Shinto shrines. They are sold in sets of 16 at "dagashi-ya", old-fashioned Japanese sweet shops that sell low-priced snacks that children can easily afford.
On the strips of paper there is some writing and a mysterious symbol (one of 4 types, ○, ◐, ◑, ●) along with a number between 1 and 10. There is sometimes a clumsily-drawn picture, too. What characterizes this "toy" is what is written on the paper, which is very different from what you would expect from fortune-telling. It may be in the form of a question, (e.g., "Don't you care if I shout "You are stupid," at you?") an order, (e.g., "Scratch my itchy spot,") a statement (e.g., "You are a hopeless case,") a prohibition, (e.g., "Don't act like you know when you don't,") a wish, (e.g., "I want to play catch with a ghost,") a past tense sentence (e.g., "I felt dizzy at the top of Mount Fuji,") or something weird (e.g., "I've never heard my own sleeptalking,") and other such curious and mysterious sentences.