Queen against pawn is lesson 1 of 6 in Endgame 5: Queen endings, an endgame course suited to players rated around 1400 (club players). Against a pawn on the 7th, the queen comes closer with checks until the king must block its own pawn; then your king approaches. It has 7 interactive exercises: 7 calculated lines from real positions. You play every move on a board and get feedback straight away. The lesson is free.
What you practise
White to move and win. (4 positions)
Black to move and win. (3 positions)
Worked examples
White to move and win. 1.Kf3 g1=N+ 2.Ke3 Kg2 3.Qg7+ Kh1 4.Kf2. Checks forced the king in front of its pawn, and that gave your king time to come closer. This is a won endgame (checked with endgame tables). After Ke4 the win would be gone.
Black to move and win. 1...Qd3+ 2.Kc7 Qe4 3.Kd6 Kg5 4.Kd7 Qd5+. Checks forced the king in front of its pawn, and that gave your king time to come closer. This is a won endgame (checked with endgame tables). After Kg5 the win would be gone.
chessGM