The above two words are “note” and “memo” respectively.
If I say I am looking for a “note” in Australia, most people will think that I’m looking for a piece of paper with something written on it and probably the thing written on it is more important than the actual piece of paper. In Japanese, that is not called a “note” but it is called a “メモ” which comes from the English word “memorandum.”
The word メモ is a noun but can be used with します and メモします means to "take notes."
On the other hand, if a Japanese person is looking for a “ノート,” he/she is most likely looking for a "notebook", where people write down lots of メモ.