is marble element compound or mixture?

This is a very simple question that has a rather complicated answer. Marble is typically more than 95% calcium carbonate, perhaps even 99% calcium carbonate, and calcium carbonate is a compound. Many of the "fine chemicals" that you would find in jars in your school laboratory would have a similar purity to a good quality marble. So marble has a good claim to be recognised as a compound. 
However, if you look at a piece of marble, it has numerous very pretty stripes and blotches -- often known as "marbling" even. Clearly marble is not a homogeneous material. The small amount of various impurities in marble produce its very pretty appearance. So marble must also be recognised as a mixture.
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