"it works only with b, d, e and g pawns, other pawns are drawn"
Actually the queen can also win against rook and/or bishop pawns on the 7th in some cases, if his king is close enough, to be brought even close to effect checkmate
True, I've seen this type of thing with rookpawns:
just an example
[edit] But 9 ... Kh1!
Ah!
In some cases, White can win against a rook/bishop's pawn even wth his king on the fifth rank:
I just found this little composition by Loyd:
S. LOYD
Chess Monthly 1857
Mate in 5
I just found this little composition by Loyd:
S. LOYD
Chess Monthly 1857
Mate in 5
Pretty sure I would not have found that in a game and just played 1.Qg3 which forces a knight promotion.
In fact, even a Rook pawn with a King on the seventh is (rarely) winnable.
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Had this one recently, it's trickier than I thought.
Of course, it works only with b, d, e and g pawns, other pawns are drawn.