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Free printable Shikaku with answers

Shikaku is a Japanese logic puzzle, also called Rectangles: cut the grid into rectangles so that every rectangle holds exactly one number and has exactly that many cells. One rule, and a surprising amount follows from it.

By size

Two things make a Shikaku harder: a bigger board, and a bigger cap on how large a rectangle may be. The grades move both together, so start small and work up.

By audience

The rule is really just times tables, which is why this one suits children and new solvers better than most logic puzzles.

One cut, every time

This is the guarantee that is hard to make and easy to skip, and the reason most free Shikaku are not worth printing. A board can look perfectly reasonable and still be cuttable two ways, which does not make it harder, it makes the printed answer wrong. Every puzzle here is checked by the same solver our Publisher Studio uses, so the numbers fix exactly one cut. The answer prints at the back.

How to solve a shikaku

Cut the grid into rectangles so that every rectangle holds exactly one number and has exactly that many cells. Every cell ends up in one rectangle, and no rectangle may hold two numbers.

The method

  1. 1Start with the numbers that have only one shape. A prime number is a single row or a single column and nothing else, so a 5 or a 7 is already half placed. A number as wide as the grid has nowhere to slide at all.
  2. 2Use the other numbers as walls. No rectangle may contain two numbers, so a shape that would swallow a neighbouring clue is out. On a crowded board that removes more options than the sizes do.
  3. 3Look for cells only one rectangle can reach. Corners and edges are the place to look: a cell in the corner can only be covered by rectangles that reach into it, and often there is just the one. That is the same move the solver makes, and it is usually the first real foothold.
  4. 4Count what is left. The numbers always add up to the number of cells, so once a region is sealed off the clues inside it must account for exactly its area. A region that comes up short or long means something earlier is wrong.
The one rule
Rectangles only, one number in each, area equal to that number, every cell used exactly once.
What the answer page shows
The finished cut is printed at the back.
How the grades differ
Harder grades are bigger boards that allow bigger rectangles, so each number has more shapes it could be and more places each shape could sit.
Good for
Solvers who like times tables and a tidy finished page.

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