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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

Counting on Letters

The letters of the word ABACUS have been arranged in the shape of a triangle. How many different ways can you find to read the word ABACUS from this triangular pattern?

Wallpaper Sudoku

Age 11 to 16 Challenge Level:
Produced by Henry Kwok
Wallpaper Sudoku

Rules of "Wallpaper Sudoku"

The puzzle forms repeating patterns of numbers. Hence it is called "Wallpaper Sudoku".
  • All the numbers in the top right box are exactly the same in values and positions as those in the centre box and bottom left box.
  • The numbers in the top middle box match to those in the middle left box and bottom right box in values and positions.
  • Finally, the numbers in the top left box match in values and positions those in the middle right box and bottom middle box.

The remaining rules are as in a "standard" Sudoku, and the object of the puzzle is to fill in the whole 9x9 grid with numbers 1 through 9 so that each horizontal line, each vertical line, and each of the nine 3x3 squares must contain all the nine different numbers 1 through 9.

Due to the additional rule of repeating patterns, this puzzle needs only 9 starters.