Here is a Latin rendition of the sentences. Note that there is no word for existence in Latin, and all of the following translations are open  to debate. Generally, some part of the verb 'esse' is used to denote existence.

By Wai Keet.

Existence................. (no direcranslation)
Life..........................  vita
Being [noun]............ (no direcranslation)

I was......................... eram
he was...................... erat
they were..................erant

I am.......................... sum
you are..................... es
He is......................... est

they are..................... sunt
I will be...................... ero
he will be................... erit
they will be................ erunt

there was.................. erat
there will be............... erit
it existed................... erat

Finally ten short sentences. [please put the 'existence' word in
brackets]
example; The girl [is] a student.

The girl is a student............... Puella est discipula.
The boy is being kind............ Puer [est] beneficus.

The building has existed for ten years...........
Aedificium decem annos [est].

The girl is running quickly.... Puella celeriter currit.
The boy is handsome............ Puer [est] speciosus.
The man is a doctor.............. Vir [est] medicus.

I believe in the existence of atoms..................
Credo atomum [esse].

Life exists on earth.............. Vita [est] in terram.

I like being a student.......... Discipulus [esse] amo.
I enjoy life......................... Vita fruor.

I love him/her with my whole 'Being.' ....................
Eum amo ex toto.