YOU SAID:

Where did I leave my hat?

INTO JAPANESE

帽子はどこに置いたの？

BACK INTO ENGLISH

Where did you put your hat?

INTO JAPANESE

どこに帽子をかぶったの？

BACK INTO ENGLISH

Where did you wear your hat?

INTO JAPANESE

どこで帽子をかぶったの？

BACK INTO ENGLISH

Where did you wear your hat?