The answer above re the color of the cere (that area with the nostrils just above the beak) is correct. Boys will be blue and girls are tannish to brown, although with young budgies it might be hard to tell - they mostly all look like girls at first. With parakeets and most other hookbills or parrots the brightness of the color means nothing as far as what sex they are - even the girls are bright and beautiful :-)
It is determined by the color on the top of their beak. Boys will have a blue color nose and girls will have a lighter color tan or beige, something of that nature.
I was told, many years ago that the nose would be dark blue on a male when he began to mature. the very light blue, and the tan are female. They must have been right because my "pair" had babies, which thrilled me no end as a young teen. (I am 70 now) but that was one of the highlights of my farm life. Hope this helps.
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