On the frozen planet of Zyrgon, twelve-year-old X is awarded the scholarship for Excellence in Family Organisation but her excitement is short-lived after her father manipulates the government lottery and wins for the 27th time in a row.
The Chief questions Hecla believing she is hiding the family on the farm but she misdirects him. Frustrated in his search, The Chief sends Officer Jady to scour the galaxy for the family.
X brings home her school friends to prove she has a perfectly ordinary family but it is not easy task given the new clock and the arrival of Aunt Hecla.
The Chief returns triumphantly to Zyrgon with Hecla-X and presents her before Authoritax and Principa before she is imprisoned to await interrogation by The Chief.
Father doesn't want to ask Mother not to go to Paris so the task falls to X. Mother explains it will make her a better mother and after X sees Jenny with her mum, it's not an unwelcome prospect.
X confides in Colin that on Earth she feels free to be herself and is not bound by what the government tells her to be like on Zyrgon, where people don't even have feelings.
Desperate to earn money for a new dress, Jenny talks X into using her powers to age-simulate her to look 17 years old so she can get a job at the amusement arcade, Pinball Paradise.
The Chief's latest plan is to mutilate X's mind so she gives up all hope. On Earth, Miss Bloom stops by the house to inquire about the kids absence from school.