In any position, mate can be delived within a maximum of 12 moves with King and Queen against a lone King.
The basic idea is to push the lone King into a corner or edge of the board where mate is possible. But be careful you do not allow Stalemate.
Here is a detailed explanation diagram by diagram
Explanation with moves on Wiki
Practise this mate on ChessVideos
Other Simple Checkmates on CWBlog: K+R vs K, K+R+R vs K
Below is a video explaining the technique
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