Crossword Puzzle Snake that counts?

Clue: Snake that counts?

This snake counts? (ADDER with 5 letters)
Banded venomous snakes (KRAITS with 6 letters)
A snake charmed her (EVE with 3 letters)
In some exams, this counts (NEATNESS with 8 letters)
What a blind man mistakes for a snake, in a fable (ELEPHANTTRUNK with 13 letters)
Snake, to Medusa? (TRESS with 5 letters)
Tropical grass used for thatching (COGON with 5 letters)
Like an eel or snake (APOD with 4 letters)
Snakes and birds do it (MOLT with 4 letters)
Counts in Britain (EARLS with 5 letters)