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Patrick from Woodbridge School gave a very clear explanation of how to work out which weight is heavier, in just two weighings of the balance, when you have been given 9 weights and you are told that one is slightly heavier than the rest:
It is always possible to find the different weight, using a simple method.Daniel from Barclay School then built on this strategy to work out which weight is heavier in just three weighings of the balance when you have been given 27 weights and been told that one is slightly heavier than the rest:
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
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.
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?