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Why did Kathy try so hard to hide her tape from everyone at Hailsham?
Two reasons. First, students at Hailsham don't have many belongings, and what they do have, they are often very protective of. The tape was very special to Kathy, and she wanted it to be her own, private thing. Second, on the case, there was the singer smoking a cigarette, and everyone was always lectured on the dangers of smoking, and how they should never do it. Kathy didn't want to get in trouble, so she kept it to herself.