Here I discuss the 5 parts of the definition of a mineral.

Answers to the test:

Kitchen Glass: Not a mineral. It is not naturally occurring and you may not know this off the top of your head, but glass does not have a crystalline structure. It was once melted minerals, but it froze too quickly for the compounds to arrange themselves in any specific way.

Oil: Not a mineral. This basically does not meet any of the criteria (except naturally occurring), but mostly it is because it is liquid and organic.

Obsidian (Nature's glass): Not a mineral. Although this is naturally occurring, like I mentioned before, glass does not have a crystalline structure. It freezes too quickly for the atoms to properly arrange themselves.

Quartz: This is a mineral. It fits the definition.

Wood: Not a mineral. It is organic.

Frozen water (ice): As long as this isn't made by humans (e.g. in the freezer) ice is considered a mineral. It fits the definition perfectly.