Solution for "Practical Endgame Test 1"
See also Practical Endgame Test 1 / Solution, Practical Endgame Test 1 / Solution 2 and Practical Endgame Test 1 / Solution 3.
If White plays 3 here Black answers calmly at 4. White cannot block at 6 now, as she would be two points worse off than if she had played at 4 immediately (instead of 3). So Black plays 6 - the sequence unfolds up to 10, next a-d follow. This time White only wins by 2.
So how can White win with 4 points in this case? (I think I know how --ArnoHollosi)
DaveSigaty: White answers 1 with 2 as a kikashi (forcing move). As a result, when Black cuts with 5, White 6 is sente.
White 8 connects at 3. Actually Black 3 is pointless since he could never fight the ko. Therefore whoever plays 3, the score will be the same in this area. After Black protects the cut at c, the result is W+5. White has forced a better result than the solution diagram.
The marked white stone is an interesting play for more than one reason. If the marked exchange has been made, then even if White plays elsewhere after 1, Black can not make an eye in the corner. Without the exchange, Black 1, 3, 5 will make an eye and 4 points of territory. In addition, a white block at a is gote. After the exchange, Black gets no eye and only 2 points from capturing the extra stones that White adds. In addition, the white play at a is sente. Finally, White has the option to answer 1 with a ko at b if that is what is necessary in the overall game situation. Let's see whether that would be a good idea in this problem...
6, 9 take the ko. White initiates the ko with 2, counting mainly on the series of ko threats in the bottom right.
4, 7, 10 take the ko. Black 5 looks like a desperation play but it is not. White is also out of ko threats so things get very interesting. White has no other play than 8, but 9 is a clever reply that creates a ko threat at a and protects against 8.