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Consecutive Numbers

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

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Tea Cups

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.

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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?

Chessboard Counters

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

The counters of the same colour form diagonal lines across the board. So counting the counters from these lines we get 1, 2, 7, 8, 3 and 2 squares, so the fraction is 23/64.

This problem is taken from the UKMT Mathematical Challenges.

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