What is Parami? How many Paramis are there? How do they determine the attainment of different types of Bodhi?

Paramis are ‘perfections’ or qualities developed and brought to maturity by Bodhisattas during their past experiences, and they lead to Buddhahood.

There are ten Paramis in the Theravada tradition:

Dana Parami – perfection in giving, generosity

Sila Parami – perfection in virtue, morality

Nekkhamma Parami – renunciation of sensual pleasures

Panna Parami – wisdom, understanding, insight

Viriya Parami – energy, effort (physical and mental)

Khanti Parami – patience, endurance, tolerance, non-violence

Sacca Parami – truthfulness, gentle speech

Adhitthana Parami – resolution, strong determination, will-power

Metta Parami – universal love, loving-kindness, goodwill

Upekkha Parami – equanimity, impartiality

The ten perfections vary in intensity and magnitude with respect to the three different types of Bodhi (enlightenment), ranging from least intense (Arahat) to most intensive (Sammasambodhi). They also vary according to the number of times they are fulfilled, ranging from once (Arahat), twice (Pacceka) to thrice (Sammasambodhi).

How many types of Buddha are there? What are the pre-requisites for becoming these different types of Buddha?

There are three types of Buddha: Arahat Buddha, Pacceka Buddha, and Sammasambuddha.

All three are born human with the highest virtue and supernormal wisdom, they develop from being a Bodhisatta, develop spiritually over countless aeons, and are motivated by compassion.

The first is a disciple who perfects the Paramis over hundreds or thousands of lives, achieves the pre-requisites for becoming an enlightened being, meets the Buddha or a disciple, hears the teaching, grasps the teaching of the four Noble Truths and becomes an Arahat.

The second fulfils the 10 Paramis over two cycles, appears when the teachings are lost and beings are living in ignorance, becomes enlightened on their own, and lives in seclusion as a hermit.

The third fulfils the 10 Paramis over three cycles, becomes supremely enlightened by hearing and understanding the Dhamma from previous Buddhas, enlightens others and makes significant impacts on world history.

What is the meaning of the term ‘Bodhi’? How many different types of Bodhi are there?

The term ‘Bodhi’ comes from the verbal root ‘budh’, to awaken or to understand. It means awakenment, enlightenment, supreme knowledge. One awakens from the slumber or stupor of the defilements to comprehend the four Noble Truths.

There are three types of Bodhi: Arahat Bodhi (perfected disciple of Buddha) where one perfects the 10 Paramis over countless lives, hears and grasps the Dhamma, and eventually passes it on to others; Pacceka Bodhi (hermit Buddha) where one perfect the 10 Paramis twice, achieves enlightenment without help from others at a time when the teaching is lost in the world, and lives in seclusion; and Sammasambodhi (supremely enlightened Buddha) where one perfects the 10 Paramis three times, receives and grasps the Dhamma, enlightens others and changes the world significantly. The latter includes the 28 historical Buddhas, Buddha Gotama, and the future Lord Metteyya.

Why is he called ‘Buddha’? What are the pre-requisites for becoming a Buddha?

Siddhattha was predicted by astrologers of his time to be a future Buddha (or Bodhisatta). He is called ‘Buddha’ because he reached supreme enlightenment (Samma sambuddho) at the age of 35. 

The pre-requisites for becoming a Buddha are fulfilling the ten Paramis, meeting a Buddha or the disciple of a Buddha, hearing the teaching (of the four Noble Truths) from them, grasping the teaching and then sharing it with others out of compassion.

What is the meaning of the word "Buddha"?

The word ‘Buddha’ is not a personal name or title, but refers to the attainment of supreme enlightenment by an individual after a prolonged period of spiritual evolution during which the 10 exalted spiritual virtues (Paramis) are perfected. 
In the present aeon it refers to Bodhisatta Siddhattha who became the Buddha Gotama at the age of 35 years. 
Historically, we are also aware of 28 Buddhas of the past, and the future one who is called Lord Metteyya.