Here is the list of long and short sounds that the vowel A can produce.
Almost always with ar. Mind that we do not pronounce /r/ in British English.
father, rather, castle, master, bath, glass, laugh, car, bark
Almost always with all, au, aw, aught.
all, ball, tall, wall, water, talk, autumn, fault, dawn, awful, daughter, taught, quarter
Often with ay, ai and in the pattern A_consonant_E.
may, hay, wait, lazy, daisy, grave, fake, create
Almost always with are and air.
care, share, air, chair, fair
Very often in closed (ending with a consonant) syllables with a.
man, hat, traffic, marry, lamb
Mostly in words starting with wa-.
Pay attention: these three words have the /e/, not the /æ/ sound.