Basic Endgames Part 3: Sundry basic endgames and more pawn endgames

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Hi!

Today, we will be covering a range of basic endgame concepts and positions. The main theme that ties all these positions together is that they are generally considered essential knowledge, and are best explained by using strategic thinking rather than concrete tactical analysis. 
Always Analyze Forcing Moves First (AAFMF) is still the rule, but in these endgames, we will be looking at plans more than individual moves. 

Let's begin with some simple positions:

White to move: White can force checkmate in two moves. How? is 1.Qe6 a good or bad move?

White to move can force checkmate in two moves:
White to move can win, but only one move will work. 
It's Blacks turn. What is his best move? 
How can White force Checkmate in two moves?
Black to move. How can Black win?
  • The next few positions are a review of K and Pawn vs King. Remember that in order to win, White needs to complete any two of the following three conditions:
  • The King is in front of the pawn
  • The King is on the sixth Rank
  • The King has the opposition

Your task is not to solve the following positions, but to determine if it is a win or draw with best play.