Pawn puzzles.
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Position 3 is drawn even at the final position:
3... Kf7! 4. Kxe5 Ke7 0.5 - 0.5
Position 5 has a mate in four moves:
1. Qe3+ Kh4 2. e8=Q g1=Q 3. Qh8+ Kg4 4. Q8h3# 1 - 0
Endgame Puzzle Hint: Endgames with six pieces or less can be checked before posting with Nalimov Tablebases, freely accessible online. This way, there is no chance that you may have missed something.
NOTE: Post was edited due to two new puzzles being added at the top of the OP.
