The difference between Final and Last

When used as nouns, final means a final examination, whereas last means a tool for shaping or preserving the shape of shoes.

When used as adjectives, final means last, whereas last means final, ultimate, coming after all others of its kind.

Last is also determiner with the meaning: the (one) immediately before the present.

Last is also adverb with the meaning: most recently.

Last is also verb with the meaning: to perform, carry out.

check bellow for the other definitions of Final and Last

Final as a noun (North America):

A final examination; a test or examination given at the end of a term or class; the test that concludes a class.
Final as a noun (sports):

The last round, game or match in a contest, after which the winner is determined.
Final as a noun:

A contest that narrows a field of contestants to ranked positions, usually in numbered places (1st place/prize, 2nd place/prize, etc.) or a winner and numbered runners-up (1st runner-up, etc.).
Final as a noun (phonology):

The final part of a syllable, the combination of medial and rime in phonetics and phonology.
Final as a noun (music):

The tonic or keynote of a Gregorian mode, and hence the final note of any conventional melody played in that mode.

Final as an adjective:

Last; ultimate.

Examples:

"'final solution; the final day of a school term"
Final as an adjective:

Conclusive; decisive.

Examples:

"a final judgment; the battle of Waterloo brought the contest to a final issue"
Final as an adjective:

Respecting an end or object to be gained; respecting the purpose or ultimate end in view.
Final as an adjective (grammar):

Expressing purpose; as in the term final clause.
Final as an adjective (linguistics):

Word-final, occurring at the end of a word.

Last as an adjective:

Final, ultimate, coming after all others of its kind.

Examples:

"“Eyes Wide Shut” was the last film to be directed by Stanley Kubrick."
Last as an adjective:

Most recent, latest, last so far.

Examples:

"The last time I saw him, he was married."

"I have received your note dated the 17th last, and am responding to say that.... lb archaic _ usage"
Last as an adjective:

Farthest of all from a given quality, character, or condition; most unlikely, or least preferable.

Examples:

"He is the last person to be accused of theft."

"The last person I want to meet is Helen."

"More rain is the last thing we need right now."
Last as an adjective:

Being the only one remaining of its class.

Examples:

"Japan is the last empire."
Last as an adjective:

Supreme; highest in degree; utmost.
Last as an adjective:

Lowest in rank or degree.

Examples:

"the last prize"

"rfquotek Alexander Pope"

Last as an adverb:

Most recently.

Examples:

"When we last met, he was based in Toronto."
Last as an adverb (sequence):

after everything else; finally

Examples:

"I'll go last."

"[[last but not least]]"

Last as a verb (transitive, obsolete):

To perform, carry out.
Last as a verb (intransitive):

To endure, continue over time.

Examples:

"Summer seems to last longer each year."

"They seem happy now, but that won't last long."
Last as a verb (intransitive):

To hold out, continue undefeated or entire.

Examples:

"I don't know how much longer we can last without reinforcements."

Last as a verb:

To shape with a last; to fasten or fit to a last; to place smoothly on a last.

Examples:

"to last a boot"

Last as a noun (obsolete):

A burden; load; a cargo; freight.
Last as a noun (obsolete):

A measure of weight or quantity, varying in designation depending on the goods concerned.
Last as a noun (obsolete):

An old English (and Dutch) measure of the carrying capacity of a ship, equal to two tons.
Last as a noun:

A load of some commodity with reference to its weight and commercial value.