I presume you mean aldohexOse not aldohexAse, which would be an enzyme acting on an aldohexose.
An aldohexose contains a chain of 6 C atoms, with each bearing an OH group except one of the terminal ones, which is in an aldehyde group, i.e.
HOCH2CH(OH)CH(OH)CH(OH)CH(OH)CHO is an aldohexose.
An aldotetrose is similar with a chain of four C atoms, and an aldopentose with five.
Other sugars are KETOSES, with a ketone carbonyl inside the chain; in natural sugars this is usually the carbon next to the end. Thus
HOCH2CH(OH)CH(OH)COCH2OH is a ketopentose.
The diagrams you have been drawing sound like Fischer diagrams, which show the stereochemistry of each C atom. In these it matters which side you draw the OH groups and H atoms as their stereochemistry depends on which particular sugar you are drawing. For example, glucose, galactose and mannose are all aldohexoses, but differ in the stereochemistry of their -CH(OH)- groups.
This stereochemistry does not matter if you have been asked to draw a generalised aldohexose.