Elemental means starkly simple, primitive, or basic.
Usage Example: They follow only the elemental rules of worship.

Elementary means pertaining to or dealing with elements, rudiments, or first principles.
Usage Example: He found it difficult to go beyond the elementary rules of grammar.

Emulate means to attempt to equal or surpass, especially by imitation.
Usage Example: The youth are in dire need to emulate the great men of this country.

Imitate means to follow or endeavor to follow as a model or example.
Usage Example: Their dance step is intended to imitate the dance of a peacock in the rain.

Fable is a story about mythical or supernatural beings or events.
Usage Example: The fable emphasizes that the level of water in the pitcher was too low for the crow to have a drink.

Foible means a behavioural attribute that is distinctive and peculiar to an individual. 
Usage Example: Dishonesty is a foible that she detests in others.

Facet means a distinct feature or element in a problem. 
Usage Example: The perfectly cut facets of the diamond shone in the sunlight

Faucet means a regulator for controlling the flow of a liquid from a reservoir. 
Usage Example: As soon as she turned the faucet on, the hot water scalded her hands.

Facetious means cleverly amusing in tone.
Usage Example: His facetious remarks in front of the police officer landed him in trouble.

Fictitious means Formed or conceived by the imagination.
Usage Example: Many authors prefer to write under a fictitious name.

Facilitate means make easier.
Usage Example: The teacher facilitated the work of the students by providing extra notes.

Felicitate means express congratulations.
Usage Example: The newly wedded couple received felicitations from all their friends and family.

Fail means 
1. To fall short of success or achievement in something expected, attempted, desired, or approved
Usage Example: He failed to reach airport in time for the flight.
2. To receive less than the passing grade or mark in an examination, class, or course of study.
Usage Example: He failed in two subjects.
3. To dwindle, pass, or die away.
Usage Example: The crop failed due to lack of rain.

Flail means to move like a flail; thresh about.
Usage Example: Stranded on the highway, he flailed his arms around to stop a vehicle.

Fain means gladly; willingly.
Usage Example: He would fain stay at home with the kids than go shopping.

Feign means make believe with the intent to deceive.
Usage Example: He could not feign ignorance on being confronted with the truth.

Faint means lacking brightness, vividness, clearness, loudness, strength.
Usage Example: A faint light was visible in the horizon.

Feint means deceive by a mock action, a movement made in order to deceive an adversary.
Usage Example: It was difficult to cut across the feints of the fencer.

Fair means free from bias, dishonesty, or injustice.
Usage Example: The decision of the judge was very fair.

Fare means the price of conveyance or passage in a bus, train, airplane, or other vehicle.
Usage Example: Recently the train fares have been hiked by twenty per cent.