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4×4 Number Sudoku — Hard

Six numbers per grid and ten to work out: this 4×4 number sudoku, hard level, is the last step before 6×6 puzzles for children aged 6-8.

    2 A4 pages · for home and classroom use

    All printables: Worksheets

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    Sudoku 4×4 — hard

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    How to use this worksheet

    • Start with the bottom-right puzzle. No 4 is printed there, its third column is empty and so is its top-right box, yet four squares can be filled at once, and all four are 4s.
    • In the bottom-left puzzle no 2 is printed; follow the 2s through each box the same way.
    • In the top-left puzzle the fourth column is empty; work from the rows and boxes toward it.

    What this worksheet teaches

    Every 4×4 puzzle has four 2×2 boxes, and each row, column and box needs 1, 2, 3 and 4 once. With only 6 numbers given, children have to think about one number at a time across the whole grid rather than one square at a time. This change of viewpoint, from "what goes here?" to "where does this number go?", is what makes larger sudoku solvable.

    Following one number across the grid

    In the bottom-right puzzle no 4 is printed, so the 4s must be found another way: look for empty squares whose row, column and box together already contain 1, 2 and 3. Such a square cannot hold anything but 4. Each 4 you place then blocks the other squares of its row, column and box, which makes the next 4 easier to find.

    Questions and answers

    Questions from parents

    How can a 4×4 puzzle with only 6 numbers have just one solution?
    Every puzzle is checked by a solver. For 4×4 grids, 4 given numbers are the minimum that can still force a single solution.
    Why is there no 4 in one of the puzzles?
    Numbers are removed at random while the solution stays unique; this time all the 4s went.
    Is my child ready for 6×6 sudoku after this sheet?
    If these puzzles go well without help, yes: start with the easy 6×6 number sudoku.
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