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Me, Jill Robinson!: The Television Quiz by Anne Digby, another installment in her series of humorous tween adventure novels starring the eponymous schoolgirl, originally out from Dragon in 1983 and picked up for Penguin's Puffin imprint in 1990.
Jill's adventures begin with all the excitement of a family move. New town, new house, new school, new everything! There, before long, she also finds herself with a new best friend. And Melinda Hill just happens to be the worst behaved girl in the class -- which pitches Jill into more drama. It's all to do with a television quiz....