Eight is correct after five plus three, wrong after five times three, and meaningless on a blank page. What am I? - Answer & Hint

Eight is correct after five plus three, wrong after five times three, and meaningless on a blank page. What am I?

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Hint: The question decides whether it is right.

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The answer is

An answer without context

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The value eight is right for one question and wrong for another. Without the question, an answer cannot be judged.

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Ten seconds before midnight I make a room loud; ten seconds before an exam I make it silent. Same numbers, different feeling. What am I?

Type:LogicTime

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The answer is

A countdown

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Lawyers build me, logicians test me, and one weak premise can make me collapse. What am I?

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The answer is

An argument

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What is the maximum number of pieces from 3 straight cuts across a round cake, if each cut crosses all previous cuts inside the cake?

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The answer is