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Picture Story

Can you see how this picture illustrates the formula for the sum of the first six cube numbers?

Series Sums

Let S1 = 1 , S2 = 2 + 3, S3 = 4 + 5 + 6 ,........ Calculate S17.

Attractive Tablecloths

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

Difference Sequence

Age 14 to 16 Short Challenge Level:

Answer: the 28th term


Need to $-$2 six more times to get to 2000
So need to +3 six more times to get the position
10 +3$\times$6 = 28

You can find more short problems, arranged by curriculum topic, in our short problems collection.