There's only going to be 3 puzzles in this post as the Irregular Tapa part I made doesn't match the rules for the test. I will try to fix it. I thought I had all rules clear, but it doesn't seem to be so anymore. The Fractional Tapa I haven't really been able to work out for how to design it nicely. I keep running into non-uniqueness for the fractional cells.
The Mad Max Tapa I think worked out well. It isn't like the example in the instruction booklet but has a more regular Tapa feel to it. This type could come out fidgety, where you get very little clues and/or a weirdly shaped grid where you just have to cram a lot of squares in it and hope that your solution is the max number. For this puzzle if you understand the ways to maximise the square count, you can solve it very smoothly.
The Dissected Tapa has some commonalities with variants you have encountered before. It needs very little clues to solve. This one can turn out figety too as it can be unique quickly, even though you can't find a smooth logical finish to it. This puzzle turns logically harder if you were to change the 22 and 6 clues both to a 23 clue, but I wouldn't like to see it in the test this way. This puzzle solves very easy if you get how to open the puzzle.
The Visionary Tapa is probably the best practise out of the 3 as I see no fidgety variant for it. I'm most sure of it appearing similarly in the test. I do think the clue type makes for a challenging solve, where the difficulty of the deductions doesn't really matter. I find it tricky to keep looking at the right distance for the second set of clues.
The puzzles can be found below.
Rules for Tapa
2. Mad Max Tapa
Follow regular Tapa rules. Additionally the Tapa wall covers the maximum amount of cells possible.
4. Dissected Tapa
Follow Regular Tapa rules. Additionally the Tapa wall and the unpainted cells form 2 congruent shapes. This means they have the same shape not counting rotation or reflection.
5. Visionary Tapa
Follow regular Tapa rules. Each clue cell has 2 clue types in it. The black clues are normal Tapa clues for the direct neighbours of that cell. The grey clues work as Tapa clues for the secondary neighbours of that cell. The secondary neighbours are all cells that are one unit from the clue cell. Stated otherwise the secondary neighbours are all cells that touch the direct neighbours of that cell.