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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?

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Magic Caterpillars

Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.

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Plum Tree

Label this plum tree graph to make it totally magic!

Intersection Sudoku 1

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

  • A clue like 2567 in cell (8,2) confirms the positions of four of the numbers in the surrounding 3x3 square.

  • It is useful to remember that the same number cannot appear in the same row or in the same 3x3 square. This can help with a clue such as1223 in cell (8,6) because it tells you the position of one of the twos.